Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
382 conjugacy classes of subgroups; only the 151 normal subgroups are shown.
This group has 382 conjugacy classes of subgroups — too many to draw. Only its 151 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. #21447423 | C2 | semidirect |
| 4. #21443909 | C2 | semidirect |
| 7. C2×#14519717 | C4 | semidirect |
| 9. C22×#11758185 | C4 | semidirect |
| 18. C61×#349 | C4 | semidirect |
| 117. #349 | Dic61 | semidirect |
| 120. C61 | #12617 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16840179 | 2 |
| #21447423 | 2 |
| #21445619 | 2 |
| #21443909 | 2 |
| C61×#2115 | 2 |
| #12617 | 61 |