Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
412 conjugacy classes of subgroups; only the 92 normal subgroups are shown.
This group has 412 conjugacy classes of subgroups — too many to draw. Only its 92 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 |
|---|---|---|
| 1. #21461743 | C2 | semidirect |
| 2. #21461169 | C2 | semidirect |
| 3. #21461168 | C2 | semidirect |
| 6. #21461013 | C2 | semidirect |
| 184. C61 | #9863 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21461743 | 2 |
| #21461169 | 2 |
| #21461168 | 2 |
| #21461165 | 2 |
| #21461013 | 2 |
| #21456138 | 2 |
| #9863 | 61 |