Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
1346 conjugacy classes of subgroups; only the 232 normal subgroups are shown.
This group has 1346 conjugacy classes of subgroups — too many to draw. Only its 232 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. C2×#16840784 | C2 | semidirect |
| 2. #21461944 | C2 | semidirect |
| 3. #21461644 | C2 | semidirect |
| 4. #21461643 | C2 | semidirect |
| 179. C61 | #21791 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16840784 | 2 |
| #21461944 | 2 |
| #21461644 | 2 |
| #21461643 | 2 |
| C2×#16840311 | 2 |
| #21791 | 61 |