| 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 |
| 257.1 |
$C_{257}$ |
$257$ |
$257$ |
$1$ |
$1$ |
$1$ |
$1$ |
$257$ |
$2$ |
$2$ |
$2$ |
$C_{257}$ |
$C_1$ |
$C_1$ |
$C_{257}$ |
$2^{8}$ |
$2^{8}$ |
$257$ |
$257$ |
$1$ |
$2$ |
$256$ |
$1$ |
$2$ |
$256$ |
Cyclic |
| 258.1 |
$C_{43}:C_6$ |
$2 \cdot 3 \cdot 43$ |
$2 \cdot 3 \cdot 43$ |
$-1$ |
$2$ |
$3$ |
$2$ |
$13$ |
$134$ |
$8$ |
$5$ |
$C_1$ |
$C_{43}:C_6$ |
$C_{43}$ |
$C_{6}$ |
$2 \cdot 3 \cdot 7 \cdot 43$ |
$7$ |
$43$ |
$43$ |
$6$ |
$6$ |
$42$ |
$6$ |
$6$ |
$42$ |
Solvable - 2 |
| 258.2 |
$C_{43}:C_6$ |
$2 \cdot 3 \cdot 43$ |
$2 \cdot 3 \cdot 43$ |
$-1$ |
$2$ |
$3$ |
$2$ |
$34$ |
$92$ |
$8$ |
$6$ |
$C_2$ |
$C_{43}:C_3$ |
$C_{43}$ |
$C_{6}$ |
$2 \cdot 3 \cdot 7 \cdot 43$ |
$2 \cdot 7$ |
$86$ |
$45$ |
$3$ |
$6$ |
$42$ |
$3$ |
$6$ |
$42$ |
Solvable - 2 |
| 258.3 |
$S_3\times C_{43}$ |
$2 \cdot 3 \cdot 43$ |
$2 \cdot 3 \cdot 43$ |
$-1$ |
$2$ |
$3$ |
$2$ |
$129$ |
$12$ |
$8$ |
$6$ |
$C_{43}$ |
$S_3$ |
$C_3$ |
$C_{86}$ |
$2^{2} \cdot 3^{2} \cdot 7$ |
$2 \cdot 3 \cdot 7$ |
$129$ |
$46$ |
$2$ |
$4$ |
$84$ |
$2$ |
$4$ |
$44$ |
Solvable - 2 |
| 258.4 |
$C_3\times D_{43}$ |
$2 \cdot 3 \cdot 43$ |
$2 \cdot 3 \cdot 43$ |
$-1$ |
$2$ |
$3$ |
$2$ |
$69$ |
$92$ |
$8$ |
$6$ |
$C_3$ |
$D_{43}$ |
$C_{43}$ |
$C_{6}$ |
$2^{2} \cdot 3 \cdot 7 \cdot 43$ |
$2 \cdot 3 \cdot 7$ |
$129$ |
$46$ |
$2$ |
$4$ |
$84$ |
$2$ |
$4$ |
$44$ |
Solvable - 2 |
| 258.5 |
$D_{129}$ |
$2 \cdot 3 \cdot 43$ |
$2 \cdot 3 \cdot 43$ |
$-1$ |
$2$ |
$3$ |
$2$ |
$66$ |
$180$ |
$8$ |
$5$ |
$C_1$ |
$D_{129}$ |
$C_{129}$ |
$C_{2}$ |
$2^{2} \cdot 3^{2} \cdot 7 \cdot 43$ |
$2 \cdot 3 \cdot 7$ |
$129$ |
$46$ |
$2$ |
$2$ |
$84$ |
$2$ |
$2$ |
$44$ |
Solvable - 2 |
| 258.6 |
$C_{258}$ |
$2 \cdot 3 \cdot 43$ |
$2 \cdot 3 \cdot 43$ |
$1$ |
$1$ |
$3$ |
$1$ |
$258$ |
$8$ |
$8$ |
$8$ |
$C_{258}$ |
$C_1$ |
$C_1$ |
$C_{258}$ |
$2^{2} \cdot 3 \cdot 7$ |
$2^{2} \cdot 3 \cdot 7$ |
$258$ |
$48$ |
$1$ |
$2$ |
$84$ |
$1$ |
$2$ |
$44$ |
Cyclic |
| 259.1 |
$C_{259}$ |
$7 \cdot 37$ |
$7 \cdot 37$ |
$1$ |
$1$ |
$2$ |
$1$ |
$259$ |
$4$ |
$4$ |
$4$ |
$C_{259}$ |
$C_1$ |
$C_1$ |
$C_{259}$ |
$2^{3} \cdot 3^{3}$ |
$2^{3} \cdot 3^{3}$ |
$259$ |
$44$ |
$1$ |
$2$ |
$216$ |
$1$ |
$2$ |
$42$ |
Cyclic |
| 260.1 |
$C_5:C_{52}$ |
$2^{2} \cdot 5 \cdot 13$ |
$2^{2} \cdot 5 \cdot 13$ |
$-1$ |
$2$ |
$4$ |
$2$ |
$104$ |
$20$ |
$12$ |
$10$ |
$C_{26}$ |
$D_5$ |
$C_5$ |
$C_{52}$ |
$2^{5} \cdot 3 \cdot 5$ |
$2^{4} \cdot 3$ |
$260$ |
$22$ |
$2$ |
$4$ |
$48$ |
$2$ |
$4$ |
$18$ |
Solvable - 2 |
| 260.2 |
$C_{13}:C_{20}$ |
$2^{2} \cdot 5 \cdot 13$ |
$2^{2} \cdot 5 \cdot 13$ |
$-1$ |
$2$ |
$4$ |
$2$ |
$80$ |
$36$ |
$12$ |
$10$ |
$C_{10}$ |
$D_{13}$ |
$C_{13}$ |
$C_{20}$ |
$2^{5} \cdot 3 \cdot 13$ |
$2^{4} \cdot 3$ |
$260$ |
$22$ |
$2$ |
$4$ |
$48$ |
$2$ |
$4$ |
$18$ |
Solvable - 2 |
| 260.3 |
$C_{65}:C_4$ |
$2^{2} \cdot 5 \cdot 13$ |
$2^{2} \cdot 5 \cdot 13$ |
$-1$ |
$2$ |
$4$ |
$2$ |
$68$ |
$92$ |
$12$ |
$9$ |
$C_2$ |
$D_{65}$ |
$C_{65}$ |
$C_{4}$ |
$2^{5} \cdot 3 \cdot 5 \cdot 13$ |
$2^{4} \cdot 3$ |
$260$ |
$22$ |
$2$ |
$4$ |
$96$ |
$2$ |
$4$ |
$18$ |
Solvable - 2 |
| 260.4 |
$C_{260}$ |
$2^{2} \cdot 5 \cdot 13$ |
$2^{2} \cdot 5 \cdot 13$ |
$1$ |
$1$ |
$4$ |
$1$ |
$260$ |
$12$ |
$12$ |
$12$ |
$C_{260}$ |
$C_1$ |
$C_1$ |
$C_{260}$ |
$2^{5} \cdot 3$ |
$2^{5} \cdot 3$ |
$260$ |
$22$ |
$1$ |
$2$ |
$96$ |
$1$ |
$2$ |
$18$ |
Cyclic |
| 260.5 |
$C_{13}:C_{20}$ |
$2^{2} \cdot 5 \cdot 13$ |
$2^{2} \cdot 5 \cdot 13$ |
$-1$ |
$2$ |
$4$ |
$2$ |
$35$ |
$60$ |
$12$ |
$8$ |
$C_5$ |
$C_{13}:C_4$ |
$C_{13}$ |
$C_{20}$ |
$2^{4} \cdot 3 \cdot 13$ |
$2^{2} \cdot 3$ |
$65$ |
$18$ |
$4$ |
$8$ |
$48$ |
$4$ |
$6$ |
$16$ |
Solvable - 2 |
| 260.6 |
$C_{65}:C_4$ |
$2^{2} \cdot 5 \cdot 13$ |
$2^{2} \cdot 5 \cdot 13$ |
$-1$ |
$2$ |
$4$ |
$2$ |
$23$ |
$116$ |
$12$ |
$7$ |
$C_1$ |
$C_{65}:C_4$ |
$C_{65}$ |
$C_{4}$ |
$2^{4} \cdot 3 \cdot 5 \cdot 13$ |
$2^{2} \cdot 3$ |
$65$ |
$18$ |
$4$ |
$8$ |
$48$ |
$4$ |
$6$ |
$16$ |
Solvable - 2 |
| 260.7 |
$C_{13}\times F_5$ |
$2^{2} \cdot 5 \cdot 13$ |
$2^{2} \cdot 5 \cdot 13$ |
$-1$ |
$2$ |
$4$ |
$2$ |
$65$ |
$28$ |
$12$ |
$8$ |
$C_{13}$ |
$F_5$ |
$C_5$ |
$C_{52}$ |
$2^{4} \cdot 3 \cdot 5$ |
$2^{2} \cdot 3$ |
$65$ |
$18$ |
$4$ |
$8$ |
$48$ |
$4$ |
$6$ |
$16$ |
Solvable - 2 |
| 260.8 |
$C_{65}:C_4$ |
$2^{2} \cdot 5 \cdot 13$ |
$2^{2} \cdot 5 \cdot 13$ |
$-1$ |
$2$ |
$4$ |
$2$ |
$29$ |
$100$ |
$12$ |
$7$ |
$C_1$ |
$C_{65}:C_4$ |
$C_{65}$ |
$C_{4}$ |
$2^{4} \cdot 3 \cdot 5 \cdot 13$ |
$2^{2} \cdot 3$ |
$65$ |
$18$ |
$4$ |
$8$ |
$48$ |
$4$ |
$6$ |
$16$ |
Solvable - 2 |
| 260.9 |
$C_{65}:C_4$ |
$2^{2} \cdot 5 \cdot 13$ |
$2^{2} \cdot 5 \cdot 13$ |
$-1$ |
$2$ |
$4$ |
$2$ |
$20$ |
$172$ |
$12$ |
$6$ |
$C_1$ |
$C_{65}:C_4$ |
$C_{65}$ |
$C_{4}$ |
$2^{4} \cdot 3 \cdot 5 \cdot 13$ |
$2^{2} \cdot 3$ |
$65$ |
$18$ |
$4$ |
$4$ |
$48$ |
$4$ |
$4$ |
$16$ |
Solvable - 2 |
| 260.10 |
$C_{65}:C_4$ |
$2^{2} \cdot 5 \cdot 13$ |
$2^{2} \cdot 5 \cdot 13$ |
$-1$ |
$2$ |
$4$ |
$2$ |
$20$ |
$172$ |
$12$ |
$6$ |
$C_1$ |
$C_{65}:C_4$ |
$C_{65}$ |
$C_{4}$ |
$2^{4} \cdot 3 \cdot 5 \cdot 13$ |
$2^{2} \cdot 3$ |
$65$ |
$18$ |
$4$ |
$4$ |
$48$ |
$4$ |
$4$ |
$16$ |
Solvable - 2 |
| 260.11 |
$D_5\times D_{13}$ |
$2^{2} \cdot 5 \cdot 13$ |
$2 \cdot 5 \cdot 13$ |
$-1$ |
$2$ |
$4$ |
$2$ |
$32$ |
$212$ |
$20$ |
$10$ |
$C_1$ |
$D_5\times D_{13}$ |
$C_{65}$ |
$C_{2}^{2}$ |
$2^{4} \cdot 3 \cdot 5 \cdot 13$ |
$2^{2} \cdot 3$ |
$65$ |
$18$ |
$4$ |
$4$ |
$48$ |
$4$ |
$4$ |
$16$ |
Solvable - 2 |
| 260.12 |
$C_5\times D_{26}$ |
$2^{2} \cdot 5 \cdot 13$ |
$2 \cdot 5 \cdot 13$ |
$-1$ |
$2$ |
$4$ |
$2$ |
$80$ |
$92$ |
$20$ |
$14$ |
$C_{10}$ |
$D_{13}$ |
$C_{13}$ |
$C_{2} \times C_{10}$ |
$2^{5} \cdot 3 \cdot 13$ |
$2^{4} \cdot 3$ |
$130$ |
$20$ |
$2$ |
$4$ |
$48$ |
$2$ |
$4$ |
$16$ |
Solvable - 2 |
| 260.13 |
$C_{13}\times D_{10}$ |
$2^{2} \cdot 5 \cdot 13$ |
$2 \cdot 5 \cdot 13$ |
$-1$ |
$2$ |
$4$ |
$2$ |
$104$ |
$44$ |
$20$ |
$14$ |
$C_{26}$ |
$D_5$ |
$C_5$ |
$C_{2} \times C_{26}$ |
$2^{5} \cdot 3 \cdot 5$ |
$2^{4} \cdot 3$ |
$130$ |
$20$ |
$2$ |
$4$ |
$48$ |
$2$ |
$4$ |
$16$ |
Solvable - 2 |
| 260.14 |
$D_{130}$ |
$2^{2} \cdot 5 \cdot 13$ |
$2 \cdot 5 \cdot 13$ |
$-1$ |
$2$ |
$4$ |
$2$ |
$68$ |
$260$ |
$20$ |
$11$ |
$C_2$ |
$D_{65}$ |
$C_{65}$ |
$C_{2}^{2}$ |
$2^{5} \cdot 3 \cdot 5 \cdot 13$ |
$2^{4} \cdot 3$ |
$130$ |
$20$ |
$2$ |
$2$ |
$48$ |
$2$ |
$2$ |
$16$ |
Solvable - 2 |
| 260.15 |
$C_2\times C_{130}$ |
$2^{2} \cdot 5 \cdot 13$ |
$2 \cdot 5 \cdot 13$ |
$1$ |
$1$ |
$4$ |
$2$ |
$260$ |
$20$ |
$20$ |
$20$ |
$C_2\times C_{130}$ |
$C_1$ |
$C_1$ |
$C_{2} \times C_{130}$ |
$2^{5} \cdot 3^{2}$ |
$2^{5} \cdot 3^{2}$ |
$260$ |
$22$ |
$-$ |
$-$ |
$-$ |
$2$ |
$3$ |
$16$ |
Abelian - 2 |
| 261.1 |
$C_{261}$ |
$3^{2} \cdot 29$ |
$3^{2} \cdot 29$ |
$1$ |
$1$ |
$3$ |
$1$ |
$261$ |
$6$ |
$6$ |
$6$ |
$C_{261}$ |
$C_1$ |
$C_1$ |
$C_{261}$ |
$2^{3} \cdot 3 \cdot 7$ |
$2^{3} \cdot 3 \cdot 7$ |
$261$ |
$38$ |
$1$ |
$2$ |
$168$ |
$1$ |
$2$ |
$34$ |
Cyclic |
| 261.2 |
$C_3\times C_{87}$ |
$3^{2} \cdot 29$ |
$3 \cdot 29$ |
$1$ |
$1$ |
$3$ |
$2$ |
$261$ |
$12$ |
$12$ |
$12$ |
$C_3\times C_{87}$ |
$C_1$ |
$C_1$ |
$C_{3} \times C_{87}$ |
$2^{6} \cdot 3 \cdot 7$ |
$2^{6} \cdot 3 \cdot 7$ |
$261$ |
$35$ |
$-$ |
$-$ |
$-$ |
$2$ |
$4$ |
$32$ |
Abelian - 2 |
| 262.1 |
$D_{131}$ |
$2 \cdot 131$ |
$2 \cdot 131$ |
$-1$ |
$2$ |
$2$ |
$2$ |
$67$ |
$134$ |
$4$ |
$3$ |
$C_1$ |
$D_{131}$ |
$C_{131}$ |
$C_{2}$ |
$2 \cdot 5 \cdot 13 \cdot 131$ |
$5 \cdot 13$ |
$131$ |
$131$ |
$2$ |
$2$ |
$130$ |
$2$ |
$2$ |
$130$ |
Solvable - 2 |
| 262.2 |
$C_{262}$ |
$2 \cdot 131$ |
$2 \cdot 131$ |
$1$ |
$1$ |
$2$ |
$1$ |
$262$ |
$4$ |
$4$ |
$4$ |
$C_{262}$ |
$C_1$ |
$C_1$ |
$C_{262}$ |
$2 \cdot 5 \cdot 13$ |
$2 \cdot 5 \cdot 13$ |
$262$ |
$133$ |
$1$ |
$2$ |
$130$ |
$1$ |
$2$ |
$130$ |
Cyclic |
| 263.1 |
$C_{263}$ |
$263$ |
$263$ |
$1$ |
$1$ |
$1$ |
$1$ |
$263$ |
$2$ |
$2$ |
$2$ |
$C_{263}$ |
$C_1$ |
$C_1$ |
$C_{263}$ |
$2 \cdot 131$ |
$2 \cdot 131$ |
$263$ |
$263$ |
$1$ |
$2$ |
$262$ |
$1$ |
$2$ |
$262$ |
Cyclic |
| 264.1 |
$C_3:C_{88}$ |
$2^{3} \cdot 3 \cdot 11$ |
$2^{3} \cdot 3 \cdot 11$ |
$-1$ |
$2$ |
$5$ |
$2$ |
$132$ |
$20$ |
$16$ |
$14$ |
$C_{44}$ |
$S_3$ |
$C_3$ |
$C_{88}$ |
$2^{4} \cdot 3 \cdot 5$ |
$2^{3} \cdot 5$ |
$264$ |
$22$ |
$2$ |
$4$ |
$40$ |
$2$ |
$4$ |
$14$ |
Solvable - 2 |
| 264.2 |
$C_{11}:C_{24}$ |
$2^{3} \cdot 3 \cdot 11$ |
$2^{3} \cdot 3 \cdot 11$ |
$-1$ |
$2$ |
$5$ |
$2$ |
$84$ |
$36$ |
$16$ |
$14$ |
$C_{12}$ |
$D_{11}$ |
$C_{11}$ |
$C_{24}$ |
$2^{4} \cdot 5 \cdot 11$ |
$2^{3} \cdot 5$ |
$264$ |
$22$ |
$2$ |
$4$ |
$40$ |
$2$ |
$4$ |
$16$ |
Solvable - 2 |
| 264.3 |
$C_{33}:C_8$ |
$2^{3} \cdot 3 \cdot 11$ |
$2^{3} \cdot 3 \cdot 11$ |
$-1$ |
$2$ |
$5$ |
$2$ |
$72$ |
$60$ |
$16$ |
$13$ |
$C_4$ |
$D_{33}$ |
$C_{33}$ |
$C_{8}$ |
$2^{4} \cdot 3 \cdot 5 \cdot 11$ |
$2^{3} \cdot 5$ |
$264$ |
$22$ |
$2$ |
$4$ |
$40$ |
$2$ |
$4$ |
$14$ |
Solvable - 2 |
| 264.4 |
$C_{264}$ |
$2^{3} \cdot 3 \cdot 11$ |
$2^{3} \cdot 3 \cdot 11$ |
$1$ |
$1$ |
$5$ |
$1$ |
$264$ |
$16$ |
$16$ |
$16$ |
$C_{264}$ |
$C_1$ |
$C_1$ |
$C_{264}$ |
$2^{4} \cdot 5$ |
$2^{4} \cdot 5$ |
$264$ |
$22$ |
$1$ |
$2$ |
$80$ |
$1$ |
$2$ |
$16$ |
Cyclic |
| 264.5 |
$C_6.D_{22}$ |
$2^{3} \cdot 3 \cdot 11$ |
$2^{2} \cdot 3 \cdot 11$ |
$-1$ |
$2$ |
$5$ |
$2$ |
$42$ |
$184$ |
$32$ |
$18$ |
$C_2$ |
$S_3\times D_{11}$ |
$C_{33}$ |
$C_{2} \times C_{4}$ |
$2^{4} \cdot 3 \cdot 5 \cdot 11$ |
$2^{2} \cdot 5$ |
$132$ |
$18$ |
$4$ |
$8$ |
$40$ |
$4$ |
$6$ |
$14$ |
Solvable - 2 |
| 264.6 |
$C_6.D_{22}$ |
$2^{3} \cdot 3 \cdot 11$ |
$2^{2} \cdot 3 \cdot 11$ |
$-1$ |
$2$ |
$5$ |
$2$ |
$42$ |
$152$ |
$32$ |
$18$ |
$C_2$ |
$S_3\times D_{11}$ |
$C_{33}$ |
$C_{2} \times C_{4}$ |
$2^{4} \cdot 3 \cdot 5 \cdot 11$ |
$2^{2} \cdot 5$ |
$132$ |
$18$ |
$4$ |
$8$ |
$40$ |
$4$ |
$6$ |
$14$ |
Solvable - 2 |
| 264.7 |
$D_{33}:C_4$ |
$2^{3} \cdot 3 \cdot 11$ |
$2^{2} \cdot 3 \cdot 11$ |
$-1$ |
$2$ |
$5$ |
$2$ |
$42$ |
$232$ |
$32$ |
$16$ |
$C_2$ |
$S_3\times D_{11}$ |
$C_{33}$ |
$C_{2} \times C_{4}$ |
$2^{4} \cdot 3 \cdot 5 \cdot 11$ |
$2^{2} \cdot 5$ |
$132$ |
$18$ |
$4$ |
$4$ |
$40$ |
$4$ |
$4$ |
$14$ |
Solvable - 2 |
| 264.8 |
$C_{33}:D_4$ |
$2^{3} \cdot 3 \cdot 11$ |
$2^{2} \cdot 3 \cdot 11$ |
$-1$ |
$2$ |
$5$ |
$2$ |
$39$ |
$200$ |
$32$ |
$14$ |
$C_2$ |
$S_3\times D_{11}$ |
$C_{66}$ |
$C_{2}^{2}$ |
$2^{4} \cdot 3 \cdot 5 \cdot 11$ |
$2^{2} \cdot 5$ |
$132$ |
$18$ |
$4$ |
$8$ |
$40$ |
$4$ |
$6$ |
$14$ |
Solvable - 2 |
| 264.9 |
$C_3:D_{44}$ |
$2^{3} \cdot 3 \cdot 11$ |
$2^{2} \cdot 3 \cdot 11$ |
$-1$ |
$2$ |
$5$ |
$2$ |
$39$ |
$280$ |
$32$ |
$14$ |
$C_2$ |
$S_3\times D_{11}$ |
$C_{66}$ |
$C_{2}^{2}$ |
$2^{4} \cdot 3 \cdot 5 \cdot 11$ |
$2^{2} \cdot 5$ |
$132$ |
$18$ |
$4$ |
$4$ |
$40$ |
$4$ |
$4$ |
$14$ |
Solvable - 2 |
| 264.10 |
$C_{11}:D_{12}$ |
$2^{3} \cdot 3 \cdot 11$ |
$2^{2} \cdot 3 \cdot 11$ |
$-1$ |
$2$ |
$5$ |
$2$ |
$39$ |
$248$ |
$32$ |
$14$ |
$C_2$ |
$S_3\times D_{11}$ |
$C_{66}$ |
$C_{2}^{2}$ |
$2^{4} \cdot 3 \cdot 5 \cdot 11$ |
$2^{2} \cdot 5$ |
$132$ |
$18$ |
$4$ |
$4$ |
$20$ |
$4$ |
$4$ |
$14$ |
Solvable - 2 |
| 264.11 |
$C_{33}:Q_8$ |
$2^{3} \cdot 3 \cdot 11$ |
$2^{2} \cdot 3 \cdot 11$ |
$-1$ |
$2$ |
$5$ |
$2$ |
$39$ |
$136$ |
$24$ |
$14$ |
$C_2$ |
$S_3\times D_{11}$ |
$C_{66}$ |
$C_{2}^{2}$ |
$2^{4} \cdot 3 \cdot 5 \cdot 11$ |
$2^{2} \cdot 5$ |
$264$ |
$22$ |
$4$ |
$8$ |
$40$ |
$4$ |
$6$ |
$16$ |
Solvable - 2 |
| 264.12 |
$C_{11}\times \SL(2,3)$ |
$2^{3} \cdot 3 \cdot 11$ |
$2^{2} \cdot 3 \cdot 11$ |
$-1$ |
$3$ |
$5$ |
$2$ |
$77$ |
$30$ |
$14$ |
$8$ |
$C_{22}$ |
$A_4$ |
$Q_8$ |
$C_{33}$ |
$2^{4} \cdot 3 \cdot 5$ |
$2^{2} \cdot 5$ |
$88$ |
$19$ |
$2$ |
$4$ |
$20$ |
$2$ |
$4$ |
$14$ |
Solvable - 3 |
| 264.13 |
$C_{33}:Q_8$ |
$2^{3} \cdot 3 \cdot 11$ |
$2^{2} \cdot 3 \cdot 11$ |
$-1$ |
$2$ |
$5$ |
$2$ |
$75$ |
$84$ |
$24$ |
$18$ |
$C_6$ |
$D_{22}$ |
$C_{22}$ |
$C_{2} \times C_{6}$ |
$2^{5} \cdot 5 \cdot 11$ |
$2^{3} \cdot 5$ |
$264$ |
$22$ |
$2$ |
$4$ |
$40$ |
$2$ |
$4$ |
$14$ |
Solvable - 2 |
| 264.14 |
$C_{12}\times D_{11}$ |
$2^{3} \cdot 3 \cdot 11$ |
$2^{2} \cdot 3 \cdot 11$ |
$-1$ |
$2$ |
$5$ |
$2$ |
$84$ |
$132$ |
$32$ |
$22$ |
$C_{12}$ |
$D_{11}$ |
$C_{11}$ |
$C_{2} \times C_{12}$ |
$2^{4} \cdot 5 \cdot 11$ |
$2^{3} \cdot 5$ |
$132$ |
$18$ |
$2$ |
$4$ |
$40$ |
$2$ |
$4$ |
$14$ |
Solvable - 2 |
| 264.15 |
$C_3\times D_{44}$ |
$2^{3} \cdot 3 \cdot 11$ |
$2^{2} \cdot 3 \cdot 11$ |
$-1$ |
$2$ |
$5$ |
$2$ |
$75$ |
$180$ |
$32$ |
$18$ |
$C_6$ |
$D_{22}$ |
$C_{22}$ |
$C_{2} \times C_{6}$ |
$2^{5} \cdot 5 \cdot 11$ |
$2^{3} \cdot 5$ |
$132$ |
$18$ |
$2$ |
$4$ |
$40$ |
$2$ |
$4$ |
$14$ |
Solvable - 2 |
| 264.16 |
$C_{22}:C_{12}$ |
$2^{3} \cdot 3 \cdot 11$ |
$2^{2} \cdot 3 \cdot 11$ |
$-1$ |
$2$ |
$5$ |
$2$ |
$84$ |
$92$ |
$32$ |
$26$ |
$C_2\times C_6$ |
$D_{11}$ |
$C_{11}$ |
$C_{2} \times C_{12}$ |
$2^{5} \cdot 5 \cdot 11$ |
$2^{4} \cdot 5$ |
$264$ |
$20$ |
$-$ |
$-$ |
$-$ |
$3$ |
$4$ |
$14$ |
Solvable - 2 |
| 264.17 |
$C_{33}:D_4$ |
$2^{3} \cdot 3 \cdot 11$ |
$2^{2} \cdot 3 \cdot 11$ |
$-1$ |
$2$ |
$5$ |
$2$ |
$75$ |
$140$ |
$32$ |
$18$ |
$C_6$ |
$D_{22}$ |
$C_{22}$ |
$C_{2} \times C_{6}$ |
$2^{4} \cdot 5 \cdot 11$ |
$2^{2} \cdot 5$ |
$132$ |
$18$ |
$2$ |
$4$ |
$40$ |
$2$ |
$4$ |
$14$ |
Solvable - 2 |
| 264.18 |
$C_{33}:Q_8$ |
$2^{3} \cdot 3 \cdot 11$ |
$2^{2} \cdot 3 \cdot 11$ |
$-1$ |
$2$ |
$5$ |
$2$ |
$99$ |
$36$ |
$24$ |
$18$ |
$C_{22}$ |
$D_6$ |
$C_6$ |
$C_{2} \times C_{22}$ |
$2^{5} \cdot 3 \cdot 5$ |
$2^{3} \cdot 5$ |
$264$ |
$22$ |
$2$ |
$4$ |
$40$ |
$2$ |
$4$ |
$16$ |
Solvable - 2 |
| 264.19 |
$S_3\times C_{44}$ |
$2^{3} \cdot 3 \cdot 11$ |
$2^{2} \cdot 3 \cdot 11$ |
$-1$ |
$2$ |
$5$ |
$2$ |
$132$ |
$52$ |
$32$ |
$22$ |
$C_{44}$ |
$S_3$ |
$C_3$ |
$C_{2} \times C_{44}$ |
$2^{4} \cdot 3 \cdot 5$ |
$2^{3} \cdot 5$ |
$132$ |
$18$ |
$2$ |
$4$ |
$40$ |
$2$ |
$4$ |
$14$ |
Solvable - 2 |
| 264.20 |
$C_{11}\times D_{12}$ |
$2^{3} \cdot 3 \cdot 11$ |
$2^{2} \cdot 3 \cdot 11$ |
$-1$ |
$2$ |
$5$ |
$2$ |
$99$ |
$68$ |
$32$ |
$18$ |
$C_{22}$ |
$D_6$ |
$C_6$ |
$C_{2} \times C_{22}$ |
$2^{5} \cdot 3 \cdot 5$ |
$2^{3} \cdot 5$ |
$132$ |
$18$ |
$2$ |
$4$ |
$40$ |
$2$ |
$4$ |
$14$ |
Solvable - 2 |
| 264.21 |
$C_6:C_{44}$ |
$2^{3} \cdot 3 \cdot 11$ |
$2^{2} \cdot 3 \cdot 11$ |
$-1$ |
$2$ |
$5$ |
$2$ |
$132$ |
$44$ |
$32$ |
$26$ |
$C_2\times C_{22}$ |
$S_3$ |
$C_3$ |
$C_{2} \times C_{44}$ |
$2^{5} \cdot 3 \cdot 5$ |
$2^{4} \cdot 5$ |
$264$ |
$20$ |
$-$ |
$-$ |
$-$ |
$3$ |
$4$ |
$14$ |
Solvable - 2 |
| 264.22 |
$D_6:C_{22}$ |
$2^{3} \cdot 3 \cdot 11$ |
$2^{2} \cdot 3 \cdot 11$ |
$-1$ |
$2$ |
$5$ |
$2$ |
$99$ |
$60$ |
$32$ |
$18$ |
$C_{22}$ |
$D_6$ |
$C_6$ |
$C_{2} \times C_{22}$ |
$2^{4} \cdot 3 \cdot 5$ |
$2^{2} \cdot 5$ |
$132$ |
$18$ |
$2$ |
$4$ |
$40$ |
$2$ |
$4$ |
$14$ |
Solvable - 2 |
