Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
514 conjugacy classes of subgroups; only the 88 normal subgroups are shown.
This group has 514 conjugacy classes of subgroups — too many to draw. Only its 88 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. #21461277 | C2 | semidirect |
| 3. #21461168 | C2 | semidirect |
| 5. #21460705 | C2 | semidirect |
| 6. #21460650 | C2 | semidirect |
| 235. C61 | #9212 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#14519864 | 2 |
| #21461277 | 2 |
| #21461168 | 2 |
| #21461155 | 2 |
| #21460705 | 2 |
| #21460650 | 2 |
| #21455892 | 2 |
| #9212 | 61 |