Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
336 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 336 conjugacy classes of subgroups — too many to draw. Only its 89 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 |
|---|---|---|
| 24. #16839503 | C4 | semidirect |
| 25. #16839503 | C4 | semidirect |
| 26. #16839503 | C4 | semidirect |
| 27. #16839503 | C4 | semidirect |
| 190. C61 | #8919 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21454924 | 2 |
| #21446800 | 2 |
| #21444587 | 2 |
| #21444586 | 2 |
| #21444413 | 2 |
| #21443712 | 2 |
| C61×#1300 | 2 |
| #8919 | 61 |