Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
236 conjugacy classes of subgroups; only the 86 normal subgroups are shown.
This group has 236 conjugacy classes of subgroups — too many to draw. Only its 86 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 |
|---|---|---|
| 25. C2×Q8×C61 | C16 | semidirect |
| 91. C61 | #7128 | semidirect |
| 109. C2×Q8 | #11758187 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21460857 | 2 |
| #21446756 | 2 |
| #7128 | 61 |