Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
354 conjugacy classes of subgroups; only the 140 normal subgroups are shown.
This group has 354 conjugacy classes of subgroups — too many to draw. Only its 140 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 |
|---|---|---|
| 66. C8×C61 | #108 | semidirect |
| 69. #92418 | #108 | semidirect |
| 101. C61 | #8823 | semidirect |
| 155. C8 | #14519847 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21461758 | 2 |
| #21461378 | 2 |
| #21461377 | 2 |
| C82×D61 | 2 |
| #8823 | 61 |