Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
368 conjugacy classes of subgroups; only the 82 normal subgroups are shown.
This group has 368 conjugacy classes of subgroups — too many to draw. Only its 82 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. #21462179 | C2 | semidirect |
| 2. C4×#14519848 | C2 | semidirect |
| 3. #21460809 | C2 | semidirect |
| 141. C61 | #11747 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21462179 | 2 |
| C4×#14519848 | 2 |
| #21460809 | 2 |
| #21456396 | 2 |
| #11747 | 61 |