| 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 |
| 385.1 |
$C_{11}:C_{35}$ |
$5 \cdot 7 \cdot 11$ |
$5 \cdot 7 \cdot 11$ |
$-1$ |
$2$ |
$3$ |
$2$ |
$49$ |
$28$ |
$8$ |
$6$ |
$C_7$ |
$C_{11}:C_5$ |
$C_{11}$ |
$C_{35}$ |
$2^{2} \cdot 3 \cdot 5 \cdot 11$ |
$2^{2} \cdot 3$ |
$77$ |
$18$ |
$5$ |
$10$ |
$60$ |
$5$ |
$10$ |
$16$ |
Solvable - 2 |
| 385.2 |
$C_{385}$ |
$5 \cdot 7 \cdot 11$ |
$5 \cdot 7 \cdot 11$ |
$1$ |
$1$ |
$3$ |
$1$ |
$385$ |
$8$ |
$8$ |
$8$ |
$C_{385}$ |
$C_1$ |
$C_1$ |
$C_{385}$ |
$2^{4} \cdot 3 \cdot 5$ |
$2^{4} \cdot 3 \cdot 5$ |
$385$ |
$23$ |
$1$ |
$2$ |
$240$ |
$1$ |
$2$ |
$20$ |
Cyclic |
| 386.1 |
$D_{193}$ |
$2 \cdot 193$ |
$2 \cdot 193$ |
$-1$ |
$2$ |
$2$ |
$2$ |
$98$ |
$196$ |
$4$ |
$3$ |
$C_1$ |
$D_{193}$ |
$C_{193}$ |
$C_{2}$ |
$2^{6} \cdot 3 \cdot 193$ |
$2^{5} \cdot 3$ |
$193$ |
$193$ |
$2$ |
$2$ |
$192$ |
$2$ |
$2$ |
$192$ |
Solvable - 2 |
| 386.2 |
$C_{386}$ |
$2 \cdot 193$ |
$2 \cdot 193$ |
$1$ |
$1$ |
$2$ |
$1$ |
$386$ |
$4$ |
$4$ |
$4$ |
$C_{386}$ |
$C_1$ |
$C_1$ |
$C_{386}$ |
$2^{6} \cdot 3$ |
$2^{6} \cdot 3$ |
$386$ |
$195$ |
$1$ |
$2$ |
$192$ |
$1$ |
$2$ |
$192$ |
Cyclic |
| 387.1 |
$C_{43}:C_9$ |
$3^{2} \cdot 43$ |
$3^{2} \cdot 43$ |
$-1$ |
$2$ |
$3$ |
$2$ |
$51$ |
$48$ |
$6$ |
$5$ |
$C_3$ |
$C_{43}:C_3$ |
$C_{43}$ |
$C_{9}$ |
$2 \cdot 3^{2} \cdot 7 \cdot 43$ |
$2 \cdot 3 \cdot 7$ |
$387$ |
$52$ |
$3$ |
$6$ |
$252$ |
$3$ |
$6$ |
$48$ |
Solvable - 2 |
| 387.2 |
$C_{387}$ |
$3^{2} \cdot 43$ |
$3^{2} \cdot 43$ |
$1$ |
$1$ |
$3$ |
$1$ |
$387$ |
$6$ |
$6$ |
$6$ |
$C_{387}$ |
$C_1$ |
$C_1$ |
$C_{387}$ |
$2^{2} \cdot 3^{2} \cdot 7$ |
$2^{2} \cdot 3^{2} \cdot 7$ |
$387$ |
$52$ |
$1$ |
$2$ |
$252$ |
$1$ |
$2$ |
$48$ |
Cyclic |
| 387.3 |
$C_{129}:C_3$ |
$3^{2} \cdot 43$ |
$3 \cdot 43$ |
$-1$ |
$2$ |
$3$ |
$2$ |
$51$ |
$180$ |
$12$ |
$8$ |
$C_3$ |
$C_{43}:C_3$ |
$C_{43}$ |
$C_{3}^{2}$ |
$2^{2} \cdot 3^{2} \cdot 7 \cdot 43$ |
$2^{2} \cdot 3 \cdot 7$ |
$129$ |
$46$ |
$3$ |
$6$ |
$84$ |
$3$ |
$6$ |
$44$ |
Solvable - 2 |
| 387.4 |
$C_3\times C_{129}$ |
$3^{2} \cdot 43$ |
$3 \cdot 43$ |
$1$ |
$1$ |
$3$ |
$2$ |
$387$ |
$12$ |
$12$ |
$12$ |
$C_3\times C_{129}$ |
$C_1$ |
$C_1$ |
$C_{3} \times C_{129}$ |
$2^{5} \cdot 3^{2} \cdot 7$ |
$2^{5} \cdot 3^{2} \cdot 7$ |
$387$ |
$49$ |
$-$ |
$-$ |
$-$ |
$2$ |
$4$ |
$46$ |
Abelian - 2 |
| 388.1 |
$C_{97}:C_4$ |
$2^{2} \cdot 97$ |
$2^{2} \cdot 97$ |
$-1$ |
$2$ |
$3$ |
$2$ |
$100$ |
$102$ |
$6$ |
$5$ |
$C_2$ |
$D_{97}$ |
$C_{97}$ |
$C_{4}$ |
$2^{6} \cdot 3 \cdot 97$ |
$2^{5} \cdot 3$ |
$388$ |
$101$ |
$2$ |
$4$ |
$192$ |
$2$ |
$4$ |
$98$ |
Solvable - 2 |
| 388.2 |
$C_{388}$ |
$2^{2} \cdot 97$ |
$2^{2} \cdot 97$ |
$1$ |
$1$ |
$3$ |
$1$ |
$388$ |
$6$ |
$6$ |
$6$ |
$C_{388}$ |
$C_1$ |
$C_1$ |
$C_{388}$ |
$2^{6} \cdot 3$ |
$2^{6} \cdot 3$ |
$388$ |
$101$ |
$1$ |
$2$ |
$192$ |
$1$ |
$2$ |
$98$ |
Cyclic |
| 388.3 |
$C_{97}:C_4$ |
$2^{2} \cdot 97$ |
$2^{2} \cdot 97$ |
$-1$ |
$2$ |
$3$ |
$2$ |
$28$ |
$198$ |
$6$ |
$4$ |
$C_1$ |
$C_{97}:C_4$ |
$C_{97}$ |
$C_{4}$ |
$2^{5} \cdot 3 \cdot 97$ |
$2^{3} \cdot 3$ |
$97$ |
$97$ |
$4$ |
$4$ |
$96$ |
$4$ |
$4$ |
$96$ |
Solvable - 2 |
| 388.4 |
$D_{194}$ |
$2^{2} \cdot 97$ |
$2 \cdot 97$ |
$-1$ |
$2$ |
$3$ |
$2$ |
$100$ |
$298$ |
$10$ |
$7$ |
$C_2$ |
$D_{97}$ |
$C_{97}$ |
$C_{2}^{2}$ |
$2^{6} \cdot 3 \cdot 97$ |
$2^{5} \cdot 3$ |
$194$ |
$99$ |
$2$ |
$2$ |
$96$ |
$2$ |
$2$ |
$96$ |
Solvable - 2 |
| 388.5 |
$C_2\times C_{194}$ |
$2^{2} \cdot 97$ |
$2 \cdot 97$ |
$1$ |
$1$ |
$3$ |
$2$ |
$388$ |
$10$ |
$10$ |
$10$ |
$C_2\times C_{194}$ |
$C_1$ |
$C_1$ |
$C_{2} \times C_{194}$ |
$2^{6} \cdot 3^{2}$ |
$2^{6} \cdot 3^{2}$ |
$388$ |
$101$ |
$-$ |
$-$ |
$-$ |
$2$ |
$3$ |
$97$ |
Abelian - 2 |
| 389.1 |
$C_{389}$ |
$389$ |
$389$ |
$1$ |
$1$ |
$1$ |
$1$ |
$389$ |
$2$ |
$2$ |
$2$ |
$C_{389}$ |
$C_1$ |
$C_1$ |
$C_{389}$ |
$2^{2} \cdot 97$ |
$2^{2} \cdot 97$ |
$389$ |
$389$ |
$1$ |
$2$ |
$388$ |
$1$ |
$2$ |
$388$ |
Cyclic |
| 390.1 |
$C_{13}:C_{30}$ |
$2 \cdot 3 \cdot 5 \cdot 13$ |
$2 \cdot 3 \cdot 5 \cdot 13$ |
$-1$ |
$2$ |
$4$ |
$2$ |
$40$ |
$88$ |
$16$ |
$10$ |
$C_5$ |
$C_{13}:C_6$ |
$C_{13}$ |
$C_{30}$ |
$2^{4} \cdot 3 \cdot 13$ |
$2^{3}$ |
$65$ |
$18$ |
$6$ |
$12$ |
$48$ |
$6$ |
$8$ |
$16$ |
Solvable - 2 |
| 390.2 |
$C_{65}:C_6$ |
$2 \cdot 3 \cdot 5 \cdot 13$ |
$2 \cdot 3 \cdot 5 \cdot 13$ |
$-1$ |
$2$ |
$4$ |
$2$ |
$28$ |
$128$ |
$16$ |
$9$ |
$C_1$ |
$C_{65}:C_6$ |
$C_{65}$ |
$C_{6}$ |
$2^{4} \cdot 3 \cdot 5 \cdot 13$ |
$2^{3}$ |
$65$ |
$18$ |
$6$ |
$12$ |
$48$ |
$5$ |
$8$ |
$16$ |
Solvable - 2 |
| 390.3 |
$C_{65}:C_6$ |
$2 \cdot 3 \cdot 5 \cdot 13$ |
$2 \cdot 3 \cdot 5 \cdot 13$ |
$-1$ |
$2$ |
$4$ |
$2$ |
$22$ |
$200$ |
$16$ |
$8$ |
$C_1$ |
$C_{65}:C_6$ |
$C_{65}$ |
$C_{6}$ |
$2^{4} \cdot 3 \cdot 5 \cdot 13$ |
$2^{3}$ |
$65$ |
$18$ |
$6$ |
$6$ |
$48$ |
$6$ |
$6$ |
$16$ |
Solvable - 2 |
| 390.4 |
$C_{13}:C_{30}$ |
$2 \cdot 3 \cdot 5 \cdot 13$ |
$2 \cdot 3 \cdot 5 \cdot 13$ |
$-1$ |
$2$ |
$4$ |
$2$ |
$70$ |
$64$ |
$16$ |
$12$ |
$C_{10}$ |
$C_{13}:C_3$ |
$C_{13}$ |
$C_{30}$ |
$2^{4} \cdot 3 \cdot 13$ |
$2^{4}$ |
$130$ |
$20$ |
$3$ |
$6$ |
$48$ |
$3$ |
$6$ |
$16$ |
Solvable - 2 |
| 390.5 |
$C_{15}\times D_{13}$ |
$2 \cdot 3 \cdot 5 \cdot 13$ |
$2 \cdot 3 \cdot 5 \cdot 13$ |
$-1$ |
$2$ |
$4$ |
$2$ |
$120$ |
$64$ |
$16$ |
$12$ |
$C_{15}$ |
$D_{13}$ |
$C_{13}$ |
$C_{30}$ |
$2^{5} \cdot 3 \cdot 13$ |
$2^{4} \cdot 3$ |
$195$ |
$21$ |
$2$ |
$4$ |
$96$ |
$2$ |
$4$ |
$18$ |
Solvable - 2 |
| 390.6 |
$D_5\times C_{39}$ |
$2 \cdot 3 \cdot 5 \cdot 13$ |
$2 \cdot 3 \cdot 5 \cdot 13$ |
$-1$ |
$2$ |
$4$ |
$2$ |
$156$ |
$32$ |
$16$ |
$12$ |
$C_{39}$ |
$D_5$ |
$C_5$ |
$C_{78}$ |
$2^{5} \cdot 3 \cdot 5$ |
$2^{4} \cdot 3$ |
$195$ |
$21$ |
$2$ |
$4$ |
$96$ |
$2$ |
$4$ |
$18$ |
Solvable - 2 |
| 390.7 |
$C_3\times D_{65}$ |
$2 \cdot 3 \cdot 5 \cdot 13$ |
$2 \cdot 3 \cdot 5 \cdot 13$ |
$-1$ |
$2$ |
$4$ |
$2$ |
$102$ |
$176$ |
$16$ |
$10$ |
$C_3$ |
$D_{65}$ |
$C_{65}$ |
$C_{6}$ |
$2^{5} \cdot 3 \cdot 5 \cdot 13$ |
$2^{4} \cdot 3$ |
$195$ |
$21$ |
$2$ |
$4$ |
$96$ |
$2$ |
$4$ |
$18$ |
Solvable - 2 |
| 390.8 |
$S_3\times C_{65}$ |
$2 \cdot 3 \cdot 5 \cdot 13$ |
$2 \cdot 3 \cdot 5 \cdot 13$ |
$-1$ |
$2$ |
$4$ |
$2$ |
$195$ |
$24$ |
$16$ |
$12$ |
$C_{65}$ |
$S_3$ |
$C_3$ |
$C_{130}$ |
$2^{5} \cdot 3^{2}$ |
$2^{4} \cdot 3$ |
$195$ |
$21$ |
$2$ |
$4$ |
$96$ |
$2$ |
$4$ |
$18$ |
Solvable - 2 |
| 390.9 |
$C_5\times D_{39}$ |
$2 \cdot 3 \cdot 5 \cdot 13$ |
$2 \cdot 3 \cdot 5 \cdot 13$ |
$-1$ |
$2$ |
$4$ |
$2$ |
$105$ |
$120$ |
$16$ |
$10$ |
$C_5$ |
$D_{39}$ |
$C_{39}$ |
$C_{10}$ |
$2^{5} \cdot 3^{2} \cdot 13$ |
$2^{4} \cdot 3$ |
$195$ |
$21$ |
$2$ |
$4$ |
$96$ |
$2$ |
$4$ |
$18$ |
Solvable - 2 |
| 390.10 |
$C_{13}\times D_{15}$ |
$2 \cdot 3 \cdot 5 \cdot 13$ |
$2 \cdot 3 \cdot 5 \cdot 13$ |
$-1$ |
$2$ |
$4$ |
$2$ |
$117$ |
$56$ |
$16$ |
$10$ |
$C_{13}$ |
$D_{15}$ |
$C_{15}$ |
$C_{26}$ |
$2^{5} \cdot 3^{2} \cdot 5$ |
$2^{4} \cdot 3$ |
$195$ |
$21$ |
$2$ |
$4$ |
$96$ |
$2$ |
$4$ |
$18$ |
Solvable - 2 |
| 390.11 |
$D_{195}$ |
$2 \cdot 3 \cdot 5 \cdot 13$ |
$2 \cdot 3 \cdot 5 \cdot 13$ |
$-1$ |
$2$ |
$4$ |
$2$ |
$99$ |
$344$ |
$16$ |
$9$ |
$C_1$ |
$D_{195}$ |
$C_{195}$ |
$C_{2}$ |
$2^{5} \cdot 3^{2} \cdot 5 \cdot 13$ |
$2^{4} \cdot 3$ |
$195$ |
$21$ |
$2$ |
$2$ |
$96$ |
$2$ |
$2$ |
$18$ |
Solvable - 2 |
| 390.12 |
$C_{390}$ |
$2 \cdot 3 \cdot 5 \cdot 13$ |
$2 \cdot 3 \cdot 5 \cdot 13$ |
$1$ |
$1$ |
$4$ |
$1$ |
$390$ |
$16$ |
$16$ |
$16$ |
$C_{390}$ |
$C_1$ |
$C_1$ |
$C_{390}$ |
$2^{5} \cdot 3$ |
$2^{5} \cdot 3$ |
$390$ |
$23$ |
$1$ |
$2$ |
$96$ |
$1$ |
$2$ |
$18$ |
Cyclic |
| 391.1 |
$C_{391}$ |
$17 \cdot 23$ |
$17 \cdot 23$ |
$1$ |
$1$ |
$2$ |
$1$ |
$391$ |
$4$ |
$4$ |
$4$ |
$C_{391}$ |
$C_1$ |
$C_1$ |
$C_{391}$ |
$2^{5} \cdot 11$ |
$2^{5} \cdot 11$ |
$391$ |
$40$ |
$1$ |
$2$ |
$352$ |
$1$ |
$2$ |
$38$ |
Cyclic |
| 392.1 |
$C_{49}:C_8$ |
$2^{3} \cdot 7^{2}$ |
$2^{3} \cdot 7^{2}$ |
$-1$ |
$2$ |
$5$ |
$2$ |
$104$ |
$66$ |
$12$ |
$10$ |
$C_4$ |
$D_{49}$ |
$C_{49}$ |
$C_{8}$ |
$2^{3} \cdot 3 \cdot 7^{3}$ |
$2^{2} \cdot 3 \cdot 7$ |
$392$ |
$57$ |
$2$ |
$4$ |
$84$ |
$2$ |
$4$ |
$46$ |
Solvable - 2 |
| 392.2 |
$C_{392}$ |
$2^{3} \cdot 7^{2}$ |
$2^{3} \cdot 7^{2}$ |
$1$ |
$1$ |
$5$ |
$1$ |
$392$ |
$12$ |
$12$ |
$12$ |
$C_{392}$ |
$C_1$ |
$C_1$ |
$C_{392}$ |
$2^{3} \cdot 3 \cdot 7$ |
$2^{3} \cdot 3 \cdot 7$ |
$392$ |
$57$ |
$1$ |
$2$ |
$168$ |
$1$ |
$2$ |
$46$ |
Cyclic |
| 392.3 |
$C_{49}:Q_8$ |
$2^{3} \cdot 7^{2}$ |
$2^{2} \cdot 7^{2}$ |
$-1$ |
$2$ |
$5$ |
$2$ |
$101$ |
$180$ |
$18$ |
$12$ |
$C_2$ |
$D_{98}$ |
$C_{98}$ |
$C_{2}^{2}$ |
$2^{4} \cdot 3 \cdot 7^{3}$ |
$2^{2} \cdot 3 \cdot 7$ |
$392$ |
$57$ |
$2$ |
$4$ |
$168$ |
$2$ |
$4$ |
$46$ |
Solvable - 2 |
| 392.4 |
$C_4\times D_{49}$ |
$2^{3} \cdot 7^{2}$ |
$2^{2} \cdot 7^{2}$ |
$-1$ |
$2$ |
$5$ |
$2$ |
$104$ |
$294$ |
$24$ |
$14$ |
$C_4$ |
$D_{49}$ |
$C_{49}$ |
$C_{2} \times C_{4}$ |
$2^{3} \cdot 3 \cdot 7^{3}$ |
$2^{2} \cdot 3 \cdot 7$ |
$196$ |
$53$ |
$2$ |
$4$ |
$84$ |
$2$ |
$4$ |
$44$ |
Solvable - 2 |
| 392.5 |
$D_{196}$ |
$2^{3} \cdot 7^{2}$ |
$2^{2} \cdot 7^{2}$ |
$-1$ |
$2$ |
$5$ |
$2$ |
$101$ |
$408$ |
$24$ |
$12$ |
$C_2$ |
$D_{98}$ |
$C_{98}$ |
$C_{2}^{2}$ |
$2^{4} \cdot 3 \cdot 7^{3}$ |
$2^{2} \cdot 3 \cdot 7$ |
$196$ |
$53$ |
$2$ |
$2$ |
$84$ |
$2$ |
$2$ |
$44$ |
Solvable - 2 |
| 392.6 |
$C_{98}:C_4$ |
$2^{3} \cdot 7^{2}$ |
$2^{2} \cdot 7^{2}$ |
$-1$ |
$2$ |
$5$ |
$2$ |
$104$ |
$186$ |
$24$ |
$18$ |
$C_2^2$ |
$D_{49}$ |
$C_{49}$ |
$C_{2} \times C_{4}$ |
$2^{4} \cdot 3 \cdot 7^{3}$ |
$2^{3} \cdot 3 \cdot 7$ |
$392$ |
$55$ |
$-$ |
$-$ |
$-$ |
$3$ |
$4$ |
$44$ |
Solvable - 2 |
| 392.7 |
$C_{49}:D_4$ |
$2^{3} \cdot 7^{2}$ |
$2^{2} \cdot 7^{2}$ |
$-1$ |
$2$ |
$5$ |
$2$ |
$101$ |
$300$ |
$24$ |
$12$ |
$C_2$ |
$D_{98}$ |
$C_{98}$ |
$C_{2}^{2}$ |
$2^{3} \cdot 3 \cdot 7^{3}$ |
$2 \cdot 3 \cdot 7$ |
$196$ |
$53$ |
$2$ |
$4$ |
$84$ |
$2$ |
$4$ |
$44$ |
Solvable - 2 |
| 392.8 |
$C_2\times C_{196}$ |
$2^{3} \cdot 7^{2}$ |
$2^{2} \cdot 7^{2}$ |
$1$ |
$1$ |
$5$ |
$2$ |
$392$ |
$24$ |
$24$ |
$24$ |
$C_2\times C_{196}$ |
$C_1$ |
$C_1$ |
$C_{2} \times C_{196}$ |
$2^{4} \cdot 3 \cdot 7$ |
$2^{4} \cdot 3 \cdot 7$ |
$392$ |
$55$ |
$-$ |
$-$ |
$-$ |
$2$ |
$3$ |
$44$ |
Abelian - 2 |
| 392.9 |
$D_4\times C_{49}$ |
$2^{3} \cdot 7^{2}$ |
$2^{2} \cdot 7^{2}$ |
$2$ |
$2$ |
$5$ |
$2$ |
$245$ |
$30$ |
$24$ |
$18$ |
$C_{98}$ |
$C_2^2$ |
$C_2$ |
$C_{2} \times C_{98}$ |
$2^{4} \cdot 3 \cdot 7$ |
$2^{2} \cdot 3 \cdot 7$ |
$196$ |
$53$ |
$2$ |
$4$ |
$84$ |
$2$ |
$4$ |
$44$ |
Nilpotent - 2 |
| 392.10 |
$Q_8\times C_{49}$ |
$2^{3} \cdot 7^{2}$ |
$2^{2} \cdot 7^{2}$ |
$2$ |
$2$ |
$5$ |
$2$ |
$245$ |
$18$ |
$18$ |
$18$ |
$C_{98}$ |
$C_2^2$ |
$C_2$ |
$C_{2} \times C_{98}$ |
$2^{4} \cdot 3^{2} \cdot 7$ |
$2^{2} \cdot 3^{2} \cdot 7$ |
$392$ |
$57$ |
$2$ |
$4$ |
$168$ |
$2$ |
$4$ |
$46$ |
Nilpotent - 2 |
| 392.11 |
$C_2^3:C_{49}$ |
$2^{3} \cdot 7^{2}$ |
$2 \cdot 7^{2}$ |
$-1$ |
$2$ |
$5$ |
$2$ |
$56$ |
$41$ |
$10$ |
$5$ |
$C_7$ |
$F_8$ |
$C_2^3$ |
$C_{49}$ |
$2^{3} \cdot 3 \cdot 7^{2}$ |
$3 \cdot 7$ |
$98$ |
$57$ |
$7$ |
$14$ |
$42$ |
$7$ |
$9$ |
$42$ |
Solvable - 2 |
| 392.12 |
$C_2\times D_{98}$ |
$2^{3} \cdot 7^{2}$ |
$2 \cdot 7^{2}$ |
$-1$ |
$2$ |
$5$ |
$3$ |
$104$ |
$642$ |
$48$ |
$26$ |
$C_2^2$ |
$D_{49}$ |
$C_{49}$ |
$C_{2}^{3}$ |
$2^{4} \cdot 3^{2} \cdot 7^{3}$ |
$2^{3} \cdot 3^{2} \cdot 7$ |
$196$ |
$53$ |
$-$ |
$-$ |
$-$ |
$3$ |
$3$ |
$43$ |
Solvable - 2 |
| 392.13 |
$C_2^2\times C_{98}$ |
$2^{3} \cdot 7^{2}$ |
$2 \cdot 7^{2}$ |
$1$ |
$1$ |
$5$ |
$3$ |
$392$ |
$48$ |
$48$ |
$48$ |
$C_2^2\times C_{98}$ |
$C_1$ |
$C_1$ |
$C_{2}^{2} \times C_{98}$ |
$2^{4} \cdot 3^{2} \cdot 7^{2}$ |
$2^{4} \cdot 3^{2} \cdot 7^{2}$ |
$392$ |
$55$ |
$-$ |
$-$ |
$-$ |
$3$ |
$4$ |
$44$ |
Abelian - 3 |
| 392.14 |
$C_7:C_{56}$ |
$2^{3} \cdot 7^{2}$ |
$2^{3} \cdot 7$ |
$-1$ |
$2$ |
$5$ |
$2$ |
$140$ |
$46$ |
$25$ |
$14$ |
$C_{28}$ |
$D_7$ |
$C_7$ |
$C_{56}$ |
$2^{4} \cdot 3^{2} \cdot 7$ |
$2^{3} \cdot 3^{2}$ |
$56$ |
$22$ |
$2$ |
$4$ |
$24$ |
$2$ |
$4$ |
$16$ |
Solvable - 2 |
| 392.15 |
$C_7^2:C_8$ |
$2^{3} \cdot 7^{2}$ |
$2^{3} \cdot 7$ |
$-1$ |
$2$ |
$5$ |
$3$ |
$104$ |
$136$ |
$40$ |
$31$ |
$C_4$ |
$C_7:D_7$ |
$C_7^2$ |
$C_{8}$ |
$2^{7} \cdot 3^{2} \cdot 7^{3}$ |
$2^{6} \cdot 3^{2} \cdot 7$ |
$392$ |
$22$ |
$-$ |
$-$ |
$-$ |
$4$ |
$6$ |
$16$ |
Solvable - 2 |
| 392.16 |
$C_7\times C_{56}$ |
$2^{3} \cdot 7^{2}$ |
$2^{3} \cdot 7$ |
$1$ |
$1$ |
$5$ |
$2$ |
$392$ |
$40$ |
$40$ |
$40$ |
$C_7\times C_{56}$ |
$C_1$ |
$C_1$ |
$C_{7} \times C_{56}$ |
$2^{7} \cdot 3^{2} \cdot 7$ |
$2^{7} \cdot 3^{2} \cdot 7$ |
$392$ |
$22$ |
$-$ |
$-$ |
$-$ |
$2$ |
$4$ |
$16$ |
Abelian - 2 |
| 392.17 |
$C_7^2:C_8$ |
$2^{3} \cdot 7^{2}$ |
$2^{3} \cdot 7$ |
$-1$ |
$2$ |
$5$ |
$2$ |
$32$ |
$176$ |
$20$ |
$6$ |
$C_2$ |
$C_7^2:C_4$ |
$C_7^2$ |
$C_{8}$ |
$2^{6} \cdot 3 \cdot 7^{2}$ |
$2^{4} \cdot 3$ |
$56$ |
$22$ |
$4$ |
$8$ |
$24$ |
$4$ |
$6$ |
$16$ |
Solvable - 2 |
| 392.18 |
$C_{14}.D_{14}$ |
$2^{3} \cdot 7^{2}$ |
$2^{2} \cdot 7$ |
$-1$ |
$2$ |
$5$ |
$2$ |
$50$ |
$254$ |
$41$ |
$18$ |
$C_2$ |
$D_7^2$ |
$C_7^2$ |
$C_{2} \times C_{4}$ |
$2^{4} \cdot 3^{2} \cdot 7^{2}$ |
$2^{2} \cdot 3^{2}$ |
$56$ |
$18$ |
$4$ |
$8$ |
$24$ |
$4$ |
$6$ |
$14$ |
Solvable - 2 |
| 392.19 |
$C_{14}.D_{14}$ |
$2^{3} \cdot 7^{2}$ |
$2^{2} \cdot 7$ |
$-1$ |
$2$ |
$5$ |
$2$ |
$50$ |
$434$ |
$47$ |
$16$ |
$C_2$ |
$D_7^2$ |
$C_7^2$ |
$C_{2} \times C_{4}$ |
$2^{5} \cdot 3^{2} \cdot 7^{2}$ |
$2^{3} \cdot 3^{2}$ |
$28$ |
$18$ |
$4$ |
$4$ |
$12$ |
$4$ |
$4$ |
$12$ |
Solvable - 2 |
| 392.20 |
$D_{14}:D_7$ |
$2^{3} \cdot 7^{2}$ |
$2^{2} \cdot 7$ |
$-1$ |
$2$ |
$5$ |
$2$ |
$47$ |
$286$ |
$41$ |
$14$ |
$C_2$ |
$D_7^2$ |
$C_7\times C_{14}$ |
$C_{2}^{2}$ |
$2^{5} \cdot 3^{2} \cdot 7^{2}$ |
$2^{3} \cdot 3^{2}$ |
$56$ |
$18$ |
$4$ |
$8$ |
$24$ |
$4$ |
$6$ |
$14$ |
Solvable - 2 |
| 392.21 |
$C_7:D_{28}$ |
$2^{3} \cdot 7^{2}$ |
$2^{2} \cdot 7$ |
$-1$ |
$2$ |
$5$ |
$2$ |
$47$ |
$466$ |
$47$ |
$14$ |
$C_2$ |
$D_7^2$ |
$C_7\times C_{14}$ |
$C_{2}^{2}$ |
$2^{4} \cdot 3^{2} \cdot 7^{2}$ |
$2^{2} \cdot 3^{2}$ |
$28$ |
$18$ |
$4$ |
$4$ |
$12$ |
$4$ |
$4$ |
$12$ |
Solvable - 2 |
| 392.22 |
$C_7^2:Q_8$ |
$2^{3} \cdot 7^{2}$ |
$2^{2} \cdot 7$ |
$-1$ |
$2$ |
$5$ |
$2$ |
$47$ |
$222$ |
$33$ |
$14$ |
$C_2$ |
$D_7^2$ |
$C_7\times C_{14}$ |
$C_{2}^{2}$ |
$2^{5} \cdot 3^{2} \cdot 7^{2}$ |
$2^{3} \cdot 3^{2}$ |
$56$ |
$22$ |
$4$ |
$8$ |
$24$ |
$4$ |
$6$ |
$16$ |
Solvable - 2 |
| 392.23 |
$C_7^2:Q_8$ |
$2^{3} \cdot 7^{2}$ |
$2^{2} \cdot 7$ |
$-1$ |
$2$ |
$5$ |
$2$ |
$119$ |
$78$ |
$33$ |
$18$ |
$C_{14}$ |
$D_{14}$ |
$C_{14}$ |
$C_{2} \times C_{14}$ |
$2^{5} \cdot 3^{2} \cdot 7$ |
$2^{3} \cdot 3^{2}$ |
$56$ |
$22$ |
$2$ |
$4$ |
$24$ |
$2$ |
$4$ |
$16$ |
Solvable - 2 |
