| Label |
Name |
Order |
Exponent |
Nilp. class |
Der. length |
Comp. length |
Rank |
$\card{\mathrm{conj}(G)}$ |
Subgroups |
Subgroup classes |
Normal subgroups |
Center |
Central quotient |
Commutator |
Abelianization |
$\card{\mathrm{Aut}(G)}$ |
$\card{\mathrm{Out}(G)}$ |
Tr. deg |
Perm. deg |
$\C$-irrep deg |
$\R$-irrep deg |
$\Q$-irrep deg |
$\C$-rep deg |
$\R$-rep deg |
$\Q$-rep deg |
Type - length |
| 2005.1 |
$C_{401}:C_5$ |
$5 \cdot 401$ |
$5 \cdot 401$ |
$-1$ |
$2$ |
$2$ |
$2$ |
$85$ |
$404$ |
$4$ |
$3$ |
$C_1$ |
$C_{401}:C_5$ |
$C_{401}$ |
$C_{5}$ |
$2^{4} \cdot 5^{2} \cdot 401$ |
$2^{4} \cdot 5$ |
$401$ |
$401$ |
$5$ |
$10$ |
$400$ |
$5$ |
$10$ |
$400$ |
Solvable - 2 |
| 2005.2 |
$C_{2005}$ |
$5 \cdot 401$ |
$5 \cdot 401$ |
$1$ |
$1$ |
$2$ |
$1$ |
$2005$ |
$4$ |
$4$ |
$4$ |
$C_{2005}$ |
$C_1$ |
$C_1$ |
$C_{2005}$ |
$2^{6} \cdot 5^{2}$ |
$2^{6} \cdot 5^{2}$ |
$2005$ |
$406$ |
$1$ |
? |
? |
$1$ |
? |
? |
Cyclic |
| 2007.3 |
$C_{669}:C_3$ |
$3^{2} \cdot 223$ |
$3 \cdot 223$ |
$-1$ |
$2$ |
$3$ |
$2$ |
$231$ |
$900$ |
$12$ |
$8$ |
$C_3$ |
$C_{223}:C_3$ |
$C_{223}$ |
$C_{3}^{2}$ |
$2^{2} \cdot 3^{2} \cdot 37 \cdot 223$ |
$2^{2} \cdot 3 \cdot 37$ |
$669$ |
$226$ |
$3$ |
$6$ |
$444$ |
$3$ |
$6$ |
$224$ |
Solvable - 2 |
| 2009.1 |
$C_{2009}$ |
$7^{2} \cdot 41$ |
$7^{2} \cdot 41$ |
$1$ |
$1$ |
$3$ |
$1$ |
$2009$ |
$6$ |
$6$ |
$6$ |
$C_{2009}$ |
$C_1$ |
$C_1$ |
$C_{2009}$ |
$2^{4} \cdot 3 \cdot 5 \cdot 7$ |
$2^{4} \cdot 3 \cdot 5 \cdot 7$ |
$2009$ |
$90$ |
$1$ |
? |
? |
$1$ |
? |
? |
Cyclic |
| 2010.1 |
$C_{2010}$ |
$2 \cdot 3 \cdot 5 \cdot 67$ |
$2 \cdot 3 \cdot 5 \cdot 67$ |
$1$ |
$1$ |
$4$ |
$1$ |
$2010$ |
$16$ |
$16$ |
$16$ |
$C_{2010}$ |
$C_1$ |
$C_1$ |
$C_{2010}$ |
$2^{4} \cdot 3 \cdot 11$ |
$2^{4} \cdot 3 \cdot 11$ |
$2010$ |
$77$ |
$1$ |
? |
? |
$1$ |
? |
? |
Cyclic |
| 2010.7 |
$C_5\times D_{201}$ |
$2 \cdot 3 \cdot 5 \cdot 67$ |
$2 \cdot 3 \cdot 5 \cdot 67$ |
$-1$ |
$2$ |
$4$ |
$2$ |
$510$ |
$552$ |
$16$ |
$10$ |
$C_5$ |
$D_{201}$ |
$C_{201}$ |
$C_{10}$ |
$2^{4} \cdot 3^{2} \cdot 11 \cdot 67$ |
$2^{3} \cdot 3 \cdot 11$ |
$1005$ |
$75$ |
$2$ |
? |
? |
? |
? |
? |
Solvable - 2 |
| 2010.8 |
$D_{15}\times C_{67}$ |
$2 \cdot 3 \cdot 5 \cdot 67$ |
$2 \cdot 3 \cdot 5 \cdot 67$ |
$-1$ |
$2$ |
$4$ |
$2$ |
$603$ |
$56$ |
$16$ |
$10$ |
$C_{67}$ |
$D_{15}$ |
$C_{15}$ |
$C_{134}$ |
$2^{4} \cdot 3^{2} \cdot 5 \cdot 11$ |
$2^{3} \cdot 3 \cdot 11$ |
$1005$ |
$75$ |
$2$ |
? |
? |
? |
? |
? |
Solvable - 2 |
| 2015.2 |
$C_{2015}$ |
$5 \cdot 13 \cdot 31$ |
$5 \cdot 13 \cdot 31$ |
$1$ |
$1$ |
$3$ |
$1$ |
$2015$ |
$8$ |
$8$ |
$8$ |
$C_{2015}$ |
$C_1$ |
$C_1$ |
$C_{2015}$ |
$2^{5} \cdot 3^{2} \cdot 5$ |
$2^{5} \cdot 3^{2} \cdot 5$ |
$2015$ |
$49$ |
$1$ |
? |
? |
$1$ |
? |
? |
Cyclic |
| 2016.a |
$\GL(2,7)$ |
$2^{5} \cdot 3^{2} \cdot 7$ |
$2^{4} \cdot 3 \cdot 7$ |
$-1$ |
$1$ |
$4$ |
|
$48$ |
|
|
|
$C_6$ |
$\PGL(2,7)$ |
$\SL(2,7)$ |
$C_{6}$ |
$2^{6} \cdot 3 \cdot 7$ |
$2^{2}$ |
|
$19$ |
$6$ |
$12$ |
$16$ |
? |
? |
? |
Non-Solvable - 4 |
| 2016.b |
$C_6\times \PGL(2,7)$ |
$2^{5} \cdot 3^{2} \cdot 7$ |
$2^{3} \cdot 3 \cdot 7$ |
$-1$ |
$1$ |
$4$ |
$2$ |
$54$ |
$3362$ |
$157$ |
$14$ |
$C_6$ |
$\PGL(2,7)$ |
$\GL(3,2)$ |
$C_{2} \times C_{6}$ |
$2^{6} \cdot 3 \cdot 7$ |
$2^{2}$ |
$48$ |
$13$ |
$6$ |
$12$ |
$12$ |
$6$ |
$8$ |
$8$ |
Non-Solvable - 4 |
| 2016.c |
$S_3\times \SL(2,7)$ |
$2^{5} \cdot 3^{2} \cdot 7$ |
$2^{3} \cdot 3 \cdot 7$ |
$-1$ |
$2$ |
$4$ |
|
$33$ |
$2704$ |
$113$ |
$10$ |
$C_2$ |
$S_3\times \GL(3,2)$ |
$C_3\times \SL(2,7)$ |
$C_{2}$ |
$2^{6} \cdot 3^{2} \cdot 7$ |
$2^{2}$ |
$48$ |
$19$ |
$8$ |
$16$ |
$16$ |
? |
? |
? |
Non-Solvable - 4 |
| 2016.d |
$\SL(2,7):S_3$ |
$2^{5} \cdot 3^{2} \cdot 7$ |
$2^{4} \cdot 3 \cdot 7$ |
$-1$ |
$2$ |
$4$ |
$2$ |
$27$ |
$2860$ |
$76$ |
$7$ |
$C_2$ |
$C_3:\PGL(2,7)$ |
$C_3\times \SL(2,7)$ |
$C_{2}$ |
$2^{6} \cdot 3^{2} \cdot 7$ |
$2^{2}$ |
$48$ |
$19$ |
$8$ |
$8$ |
$16$ |
$8$ |
$8$ |
$10$ |
Non-Solvable - 4 |
| 2016.e |
$C_6\times \SL(2,7)$ |
$2^{5} \cdot 3^{2} \cdot 7$ |
$2^{3} \cdot 3 \cdot 7$ |
$-1$ |
$1$ |
$4$ |
|
$66$ |
$1780$ |
$123$ |
$14$ |
$C_2\times C_6$ |
$\GL(3,2)$ |
$\SL(2,7)$ |
$C_{6}$ |
$2^{6} \cdot 3 \cdot 7$ |
$2^{3}$ |
$96$ |
$21$ |
$-$ |
$-$ |
$-$ |
? |
? |
? |
Non-Solvable - 4 |
| 2016.f |
$C_{56}:C_6^2$ |
$2^{5} \cdot 3^{2} \cdot 7$ |
$2^{3} \cdot 3 \cdot 7$ |
$-1$ |
$2$ |
$8$ |
$3$ |
$147$ |
$2412$ |
$408$ |
$146$ |
$C_6$ |
$D_4\times F_7$ |
$C_{28}$ |
$C_{2} \times C_{6}^{2}$ |
$2^{7} \cdot 3^{2} \cdot 7$ |
$2^{3} \cdot 3$ |
$168$ |
$18$ |
$12$ |
$24$ |
$48$ |
$8$ |
$10$ |
$12$ |
Solvable - 2 |
| 2016.g |
$C_6\times Q_8\times F_7$ |
$2^{5} \cdot 3^{2} \cdot 7$ |
$2^{2} \cdot 3 \cdot 7$ |
$-1$ |
$2$ |
$8$ |
$4$ |
$210$ |
$3516$ |
$936$ |
$506$ |
$C_2\times C_6$ |
$C_2^2\times F_7$ |
$C_{14}$ |
$C_{2}^{2} \times C_{6}^{2}$ |
$2^{10} \cdot 3^{3} \cdot 7$ |
$2^{7} \cdot 3^{2}$ |
$336$ |
$20$ |
$-$ |
$-$ |
$-$ |
? |
? |
? |
Solvable - 2 |
| 2016.h |
$D_{28}.C_6^2$ |
$2^{5} \cdot 3^{2} \cdot 7$ |
$2^{3} \cdot 3 \cdot 7$ |
$-1$ |
$2$ |
$8$ |
$3$ |
$156$ |
$2364$ |
$408$ |
$154$ |
$C_2\times C_6$ |
$D_{14}:C_6$ |
$C_{28}$ |
$C_{2} \times C_{6}^{2}$ |
$2^{9} \cdot 3^{2} \cdot 7$ |
$2^{6} \cdot 3$ |
$336$ |
$20$ |
$-$ |
$-$ |
$-$ |
? |
? |
? |
Solvable - 2 |
| 2016.i |
$C_{56}:C_6^2$ |
$2^{5} \cdot 3^{2} \cdot 7$ |
$2^{3} \cdot 3 \cdot 7$ |
$-1$ |
$2$ |
$8$ |
$3$ |
$174$ |
$2460$ |
$408$ |
$154$ |
$C_2\times C_6$ |
$C_{28}:C_6$ |
$C_{28}$ |
$C_{2} \times C_{6}^{2}$ |
$2^{9} \cdot 3^{2} \cdot 7$ |
$2^{6} \cdot 3$ |
$336$ |
$20$ |
$-$ |
$-$ |
$-$ |
? |
? |
? |
Solvable - 2 |
| 2016.j |
$C_{56}:C_6^2$ |
$2^{5} \cdot 3^{2} \cdot 7$ |
$2^{3} \cdot 3 \cdot 7$ |
$-1$ |
$2$ |
$8$ |
$3$ |
$336$ |
$1692$ |
$456$ |
$250$ |
$C_2\times C_{24}$ |
$F_7$ |
$C_7$ |
$C_{2} \times C_{6} \times C_{24}$ |
$2^{8} \cdot 3^{2} \cdot 7$ |
$2^{7} \cdot 3$ |
$336$ |
$20$ |
$-$ |
$-$ |
$-$ |
? |
? |
? |
Solvable - 2 |
| 2016.k |
$C_{56}:C_6^2$ |
$2^{5} \cdot 3^{2} \cdot 7$ |
$2^{3} \cdot 3 \cdot 7$ |
$-1$ |
$2$ |
$8$ |
$3$ |
$210$ |
$1944$ |
$408$ |
$176$ |
$C_2\times C_6$ |
$C_{28}:C_6$ |
$C_{28}$ |
$C_{2} \times C_{6}^{2}$ |
$2^{9} \cdot 3^{2} \cdot 7$ |
$2^{6} \cdot 3$ |
$336$ |
$20$ |
$-$ |
$-$ |
$-$ |
? |
? |
? |
Solvable - 2 |
| 2016.l |
$C_2\times C_{28}.C_6^2$ |
$2^{5} \cdot 3^{2} \cdot 7$ |
$2^{3} \cdot 3 \cdot 7$ |
$-1$ |
$2$ |
$8$ |
$3$ |
$156$ |
$2172$ |
$408$ |
$154$ |
$C_2\times C_6$ |
$D_{14}:C_6$ |
$C_{28}$ |
$C_{2} \times C_{6}^{2}$ |
$2^{9} \cdot 3^{2} \cdot 7$ |
$2^{6} \cdot 3$ |
$336$ |
$20$ |
$-$ |
$-$ |
$-$ |
? |
? |
? |
Solvable - 2 |
| 2016.m |
$D_{28}:C_6^2$ |
$2^{5} \cdot 3^{2} \cdot 7$ |
$2^{2} \cdot 3 \cdot 7$ |
$-1$ |
$2$ |
$8$ |
$4$ |
$210$ |
$7164$ |
$1416$ |
$506$ |
$C_2\times C_6$ |
$C_2^2\times F_7$ |
$C_{14}$ |
$C_{2}^{2} \times C_{6}^{2}$ |
$2^{10} \cdot 3^{2} \cdot 7$ |
$2^{7} \cdot 3$ |
$168$ |
$16$ |
$-$ |
$-$ |
$-$ |
? |
? |
? |
Solvable - 2 |
| 2016.n |
$F_7\times \GL(2,3)$ |
$2^{5} \cdot 3^{2} \cdot 7$ |
$2^{3} \cdot 3 \cdot 7$ |
$-1$ |
$4$ |
$8$ |
$2$ |
$56$ |
$3110$ |
$218$ |
$29$ |
$C_2$ |
$S_4\times F_7$ |
$C_7\times \SL(2,3)$ |
$C_{2} \times C_{6}$ |
$2^{6} \cdot 3^{2} \cdot 7$ |
$2^{2}$ |
$56$ |
$15$ |
$12$ |
$24$ |
$24$ |
$8$ |
$10$ |
$10$ |
Solvable - 4 |
| 2016.o |
$C_7:C_6\times \GL(2,3)$ |
$2^{5} \cdot 3^{2} \cdot 7$ |
$2^{3} \cdot 3 \cdot 7$ |
$-1$ |
$4$ |
$8$ |
$2$ |
$80$ |
$2282$ |
$218$ |
$36$ |
$C_2^2$ |
$C_7:C_3\times S_4$ |
$C_7\times \SL(2,3)$ |
$C_{2} \times C_{6}$ |
$2^{7} \cdot 3^{2} \cdot 7$ |
$2^{4}$ |
$112$ |
$17$ |
$-$ |
$-$ |
$-$ |
$5$ |
$10$ |
$10$ |
Solvable - 4 |
| 2016.p |
$C_2\times F_7\times \SL(2,3)$ |
$2^{5} \cdot 3^{2} \cdot 7$ |
$2^{2} \cdot 3 \cdot 7$ |
$-1$ |
$3$ |
$8$ |
$2$ |
$98$ |
$3210$ |
$328$ |
$71$ |
$C_2^2$ |
$A_4\times F_7$ |
$C_7\times Q_8$ |
$C_{6}^{2}$ |
$2^{7} \cdot 3^{2} \cdot 7$ |
$2^{4}$ |
$112$ |
$17$ |
$-$ |
$-$ |
$-$ |
$8$ |
$10$ |
$10$ |
Solvable - 3 |
| 2016.q |
$C_2\times \SL(2,3):F_7$ |
$2^{5} \cdot 3^{2} \cdot 7$ |
$2^{3} \cdot 3 \cdot 7$ |
$-1$ |
$4$ |
$8$ |
$2$ |
$62$ |
$3194$ |
$218$ |
$33$ |
$C_2^2$ |
$A_4:F_7$ |
$C_7\times \SL(2,3)$ |
$C_{2} \times C_{6}$ |
$2^{7} \cdot 3^{2} \cdot 7$ |
$2^{4}$ |
$112$ |
$17$ |
$-$ |
$-$ |
$-$ |
$8$ |
$10$ |
$10$ |
Solvable - 4 |
| 2016.r |
$C_3\times D_7\times \GL(2,3)$ |
$2^{5} \cdot 3^{2} \cdot 7$ |
$2^{3} \cdot 3 \cdot 7$ |
$-1$ |
$4$ |
$8$ |
$2$ |
$120$ |
$2672$ |
$218$ |
$34$ |
$C_6$ |
$D_7\times S_4$ |
$C_7\times \SL(2,3)$ |
$C_{2} \times C_{6}$ |
$2^{7} \cdot 3^{2} \cdot 7$ |
$2^{3} \cdot 3$ |
$168$ |
$18$ |
$4$ |
$8$ |
$48$ |
$4$ |
$6$ |
$12$ |
Solvable - 4 |
| 2016.s |
$C_{42}\times \GL(2,3)$ |
$2^{5} \cdot 3^{2} \cdot 7$ |
$2^{3} \cdot 3 \cdot 7$ |
$-1$ |
$4$ |
$8$ |
$2$ |
$336$ |
$860$ |
$218$ |
$48$ |
$C_2\times C_{42}$ |
$S_4$ |
$\SL(2,3)$ |
$C_{2} \times C_{42}$ |
$2^{8} \cdot 3^{2}$ |
$2^{5} \cdot 3$ |
$336$ |
$20$ |
$-$ |
$-$ |
$-$ |
$3$ |
$5$ |
$12$ |
Solvable - 4 |
| 2016.t |
$C_3\times D_{14}\times \SL(2,3)$ |
$2^{5} \cdot 3^{2} \cdot 7$ |
$2^{2} \cdot 3 \cdot 7$ |
$-1$ |
$3$ |
$8$ |
$2$ |
$210$ |
$2700$ |
$328$ |
$84$ |
$C_2\times C_6$ |
$A_4\times D_7$ |
$C_7\times Q_8$ |
$C_{6}^{2}$ |
$2^{8} \cdot 3^{3} \cdot 7$ |
$2^{5} \cdot 3^{2}$ |
$336$ |
$20$ |
$-$ |
$-$ |
$-$ |
? |
? |
? |
Solvable - 3 |
| 2016.u |
$C_{42}:\GL(2,3)$ |
$2^{5} \cdot 3^{2} \cdot 7$ |
$2^{3} \cdot 3 \cdot 7$ |
$-1$ |
$4$ |
$8$ |
$2$ |
$174$ |
$2684$ |
$218$ |
$42$ |
$C_2\times C_6$ |
$C_7:S_4$ |
$C_7\times \SL(2,3)$ |
$C_{2} \times C_{6}$ |
$2^{8} \cdot 3^{2} \cdot 7$ |
$2^{5} \cdot 3$ |
$336$ |
$20$ |
$-$ |
$-$ |
$-$ |
$4$ |
$6$ |
$12$ |
Solvable - 4 |
| 2016.v |
$C_3\times D_{14}:\SL(2,3)$ |
$2^{5} \cdot 3^{2} \cdot 7$ |
$2^{2} \cdot 3 \cdot 7$ |
$-1$ |
$3$ |
$8$ |
$2$ |
$114$ |
$3228$ |
$328$ |
$76$ |
$C_2\times C_6$ |
$D_7:A_4$ |
$C_7\times Q_8$ |
$C_{6}^{2}$ |
$2^{7} \cdot 3^{3} \cdot 7$ |
$2^{4} \cdot 3^{2}$ |
$336$ |
$20$ |
$-$ |
$-$ |
$-$ |
? |
? |
? |
Solvable - 3 |
| 2016.w |
$\SL(2,7):C_6$ |
$2^{5} \cdot 3^{2} \cdot 7$ |
$2^{3} \cdot 3 \cdot 7$ |
$-1$ |
$1$ |
$4$ |
$2$ |
$66$ |
$1652$ |
$107$ |
$10$ |
$C_{12}$ |
$\GL(3,2)$ |
$\SL(2,7)$ |
$C_{6}$ |
$2^{6} \cdot 3 \cdot 7$ |
$2^{3}$ |
$96$ |
$35$ |
$4$ |
$8$ |
$32$ |
$4$ |
$8$ |
$18$ |
Non-Solvable - 4 |
| 2016.x |
$C_6.\PGL(2,7)$ |
$2^{5} \cdot 3^{2} \cdot 7$ |
$2^{4} \cdot 3 \cdot 7$ |
$-1$ |
$1$ |
$4$ |
$2$ |
$48$ |
$1160$ |
$64$ |
$8$ |
$C_6$ |
$\PGL(2,7)$ |
$\SL(2,7)$ |
$C_{6}$ |
$2^{6} \cdot 3 \cdot 7$ |
$2^{2}$ |
$96$ |
$35$ |
$6$ |
$12$ |
$32$ |
$6$ |
$12$ |
$18$ |
Non-Solvable - 4 |
| 2016.y |
$F_7\times C_{48}$ |
$2^{5} \cdot 3^{2} \cdot 7$ |
$2^{4} \cdot 3 \cdot 7$ |
$-1$ |
$2$ |
$8$ |
$2$ |
$336$ |
$612$ |
$168$ |
$94$ |
$C_{48}$ |
$F_7$ |
$C_7$ |
$C_{6} \times C_{48}$ |
$2^{6} \cdot 3^{2} \cdot 7$ |
$2^{5} \cdot 3$ |
$336$ |
$26$ |
$6$ |
$12$ |
$96$ |
$6$ |
$8$ |
$16$ |
Solvable - 2 |
| 2016.z |
$C_2^4\times C_{126}$ |
$2^{5} \cdot 3^{2} \cdot 7$ |
$2 \cdot 3^{2} \cdot 7$ |
$1$ |
$1$ |
$8$ |
$5$ |
$2016$ |
$2244$ |
$2244$ |
$2244$ |
$C_2^4\times C_{126}$ |
$C_1$ |
$C_1$ |
$C_{2}^{4} \times C_{126}$ |
$2^{12} \cdot 3^{4} \cdot 5 \cdot 7 \cdot 31$ |
$2^{12} \cdot 3^{4} \cdot 5 \cdot 7 \cdot 31$ |
$2016$ |
$26$ |
$-$ |
? |
$-$ |
$5$ |
? |
? |
Abelian - 5 |
| 2016.ba |
$C_{1008}:C_2$ |
$2^{5} \cdot 3^{2} \cdot 7$ |
$2^{4} \cdot 3^{2} \cdot 7$ |
$-1$ |
$2$ |
$8$ |
$2$ |
$525$ |
$628$ |
$78$ |
$36$ |
$C_{14}$ |
$D_{72}$ |
$C_{72}$ |
$C_{2} \times C_{14}$ |
$2^{8} \cdot 3^{4}$ |
$2^{4} \cdot 3^{2}$ |
$1008$ |
$32$ |
$2$ |
? |
$288$ |
? |
? |
? |
Solvable - 2 |
| 2016.bb |
$D_{16}\times C_{63}$ |
$2^{5} \cdot 3^{2} \cdot 7$ |
$2^{4} \cdot 3^{2} \cdot 7$ |
$4$ |
$2$ |
$8$ |
$2$ |
$693$ |
$216$ |
$84$ |
$48$ |
$C_{126}$ |
$D_8$ |
$C_8$ |
$C_{2} \times C_{126}$ |
$2^{9} \cdot 3^{2}$ |
$2^{5} \cdot 3^{2}$ |
$1008$ |
$32$ |
$2$ |
? |
$288$ |
? |
? |
? |
Nilpotent - 4 |
| 2016.bc |
$C_{2016}$ |
$2^{5} \cdot 3^{2} \cdot 7$ |
$2^{5} \cdot 3^{2} \cdot 7$ |
$1$ |
$1$ |
$8$ |
$1$ |
$2016$ |
$36$ |
$36$ |
$36$ |
$C_{2016}$ |
$C_1$ |
$C_1$ |
$C_{2016}$ |
$2^{6} \cdot 3^{2}$ |
$2^{6} \cdot 3^{2}$ |
$2016$ |
$48$ |
$1$ |
? |
? |
$1$ |
? |
? |
Cyclic |
| 2016.bd |
$Q_{32}\times C_{63}$ |
$2^{5} \cdot 3^{2} \cdot 7$ |
$2^{4} \cdot 3^{2} \cdot 7$ |
$4$ |
$2$ |
$8$ |
$2$ |
$693$ |
$120$ |
$72$ |
$48$ |
$C_{126}$ |
$D_8$ |
$C_8$ |
$C_{2} \times C_{126}$ |
$2^{9} \cdot 3^{2}$ |
$2^{5} \cdot 3^{2}$ |
$2016$ |
$48$ |
$2$ |
? |
$288$ |
? |
? |
? |
Nilpotent - 4 |
| 2016.be |
$C_{12}.C_{168}$ |
$2^{5} \cdot 3^{2} \cdot 7$ |
$2^{4} \cdot 3 \cdot 7$ |
$-1$ |
$2$ |
$8$ |
$2$ |
$756$ |
$180$ |
$126$ |
$84$ |
$C_{168}$ |
$D_6$ |
$C_6$ |
$C_{2} \times C_{168}$ |
$2^{8} \cdot 3^{2}$ |
$2^{6} \cdot 3$ |
$336$ |
$29$ |
$2$ |
? |
$96$ |
? |
? |
? |
Solvable - 2 |
| 2016.bf |
$C_{12}\times C_{168}$ |
$2^{5} \cdot 3^{2} \cdot 7$ |
$2^{3} \cdot 3 \cdot 7$ |
$1$ |
$1$ |
$8$ |
$2$ |
$2016$ |
$264$ |
$264$ |
$264$ |
$C_{12}\times C_{168}$ |
$C_1$ |
$C_1$ |
$C_{12} \times C_{168}$ |
$2^{12} \cdot 3^{2}$ |
$2^{12} \cdot 3^{2}$ |
$2016$ |
$25$ |
$-$ |
? |
$-$ |
$2$ |
? |
? |
Abelian - 2 |
| 2016.bg |
$D_{84}:C_{12}$ |
$2^{5} \cdot 3^{2} \cdot 7$ |
$2^{3} \cdot 3 \cdot 7$ |
$-1$ |
$2$ |
$8$ |
$2$ |
$522$ |
$1396$ |
$206$ |
$66$ |
$C_{12}$ |
$D_{84}$ |
$C_{84}$ |
$C_{2} \times C_{12}$ |
$2^{8} \cdot 3^{2} \cdot 7$ |
$2^{5} \cdot 3$ |
$168$ |
$21$ |
$2$ |
? |
$48$ |
? |
? |
? |
Solvable - 2 |
| 2016.bh |
$C_{168}.C_{12}$ |
$2^{5} \cdot 3^{2} \cdot 7$ |
$2^{3} \cdot 3 \cdot 7$ |
$-1$ |
$2$ |
$8$ |
$2$ |
$522$ |
$580$ |
$142$ |
$78$ |
$C_{12}$ |
$D_{84}$ |
$C_{84}$ |
$C_{2} \times C_{12}$ |
$2^{9} \cdot 3^{2} \cdot 7$ |
$2^{6} \cdot 3$ |
$336$ |
$29$ |
$2$ |
? |
$96$ |
? |
? |
? |
Solvable - 2 |
| 2016.bi |
$D_{168}:C_6$ |
$2^{5} \cdot 3^{2} \cdot 7$ |
$2^{3} \cdot 3 \cdot 7$ |
$-1$ |
$2$ |
$8$ |
$3$ |
$522$ |
$2372$ |
$270$ |
$94$ |
$C_{12}$ |
$D_{84}$ |
$C_{84}$ |
$C_{2}^{2} \times C_{6}$ |
$2^{9} \cdot 3^{2} \cdot 7$ |
$2^{6} \cdot 3$ |
$336$ |
$29$ |
$2$ |
? |
$96$ |
? |
? |
? |
Solvable - 2 |
| 2016.bj |
$C_{24}.D_{42}$ |
$2^{5} \cdot 3^{2} \cdot 7$ |
$2^{3} \cdot 3 \cdot 7$ |
$-1$ |
$2$ |
$8$ |
$3$ |
$540$ |
$1604$ |
$270$ |
$110$ |
$C_{24}$ |
$D_{42}$ |
$C_{42}$ |
$C_{2}^{2} \times C_{12}$ |
$2^{8} \cdot 3^{2} \cdot 7$ |
$2^{6} \cdot 3$ |
$336$ |
$29$ |
$2$ |
? |
$96$ |
? |
? |
? |
Solvable - 2 |
| 2016.bk |
$C_{168}.C_{12}$ |
$2^{5} \cdot 3^{2} \cdot 7$ |
$2^{4} \cdot 3 \cdot 7$ |
$-1$ |
$2$ |
$8$ |
$2$ |
$540$ |
$324$ |
$126$ |
$78$ |
$C_{24}$ |
$D_{42}$ |
$C_{42}$ |
$C_{2} \times C_{24}$ |
$2^{8} \cdot 3^{2} \cdot 7$ |
$2^{6} \cdot 3$ |
$336$ |
$29$ |
$2$ |
? |
$96$ |
? |
? |
? |
Solvable - 2 |
| 2016.bl |
$D_{24}:C_{42}$ |
$2^{5} \cdot 3^{2} \cdot 7$ |
$2^{3} \cdot 3 \cdot 7$ |
$-1$ |
$2$ |
$8$ |
$3$ |
$630$ |
$692$ |
$270$ |
$116$ |
$C_{84}$ |
$D_{12}$ |
$C_{12}$ |
$C_{2}^{2} \times C_{42}$ |
$2^{9} \cdot 3^{2}$ |
$2^{6} \cdot 3$ |
$336$ |
$29$ |
$2$ |
? |
$96$ |
? |
? |
? |
Solvable - 2 |
| 2016.bm |
$D_{12}:C_{84}$ |
$2^{5} \cdot 3^{2} \cdot 7$ |
$2^{3} \cdot 3 \cdot 7$ |
$-1$ |
$2$ |
$8$ |
$2$ |
$630$ |
$484$ |
$206$ |
$76$ |
$C_{84}$ |
$D_{12}$ |
$C_{12}$ |
$C_{2} \times C_{84}$ |
$2^{8} \cdot 3^{2}$ |
$2^{5} \cdot 3$ |
$168$ |
$21$ |
$2$ |
? |
$48$ |
? |
? |
? |
Solvable - 2 |
| 2016.bn |
$D_{12}.C_{84}$ |
$2^{5} \cdot 3^{2} \cdot 7$ |
$2^{3} \cdot 3 \cdot 7$ |
$-1$ |
$2$ |
$8$ |
$3$ |
$756$ |
$500$ |
$270$ |
$148$ |
$C_{168}$ |
$D_6$ |
$C_6$ |
$C_{2}^{2} \times C_{84}$ |
$2^{8} \cdot 3^{2}$ |
$2^{6} \cdot 3$ |
$336$ |
$29$ |
$2$ |
? |
$96$ |
? |
? |
? |
Solvable - 2 |
| 2016.bo |
$C_{168}.A_4$ |
$2^{5} \cdot 3^{2} \cdot 7$ |
$2^{3} \cdot 3 \cdot 7$ |
$-1$ |
$3$ |
$8$ |
$2$ |
$588$ |
$288$ |
$116$ |
$52$ |
$C_{168}$ |
$A_4$ |
$Q_8$ |
$C_{3} \times C_{84}$ |
$2^{7} \cdot 3^{3}$ |
$2^{5} \cdot 3^{2}$ |
$672$ |
$42$ |
$2$ |
? |
$96$ |
? |
? |
? |
Solvable - 3 |
| 2016.bp |
$C_{24}.C_{84}$ |
$2^{5} \cdot 3^{2} \cdot 7$ |
$2^{3} \cdot 3 \cdot 7$ |
$-1$ |
$2$ |
$8$ |
$2$ |
$630$ |
$244$ |
$142$ |
$84$ |
$C_{84}$ |
$D_{12}$ |
$C_{12}$ |
$C_{2} \times C_{84}$ |
$2^{9} \cdot 3^{2}$ |
$2^{6} \cdot 3$ |
$336$ |
$29$ |
$2$ |
? |
$96$ |
? |
? |
? |
Solvable - 2 |
