Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
490 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 490 conjugacy classes of subgroups — too many to draw. Only its 107 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #21454756 | C2 | semidirect |
| 5. #21444382 | C2 | semidirect |
| 6. #21443649 | C2 | semidirect |
| 7. C61×#1286 | C2 | semidirect |
| 10. #16840135 | C4 | semidirect |
| 11. #16840109 | C4 | semidirect |
| 109. C2×#92418 | SD16 | semidirect |
| 176. #1286 | D61 | semidirect |
| 203. C61 | #9294 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21456762 | 2 |
| #21454756 | 2 |
| #21446642 | 2 |
| #21444488 | 2 |
| #21444382 | 2 |
| #21443649 | 2 |
| C61×#1286 | 2 |
| #9294 | 61 |