Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
430 conjugacy classes of subgroups; only the 124 normal subgroups are shown.
This group has 430 conjugacy classes of subgroups — too many to draw. Only its 124 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 |
|---|---|---|
| 109. C8×C61 | #101 | semidirect |
| 154. C61 | #8165 | semidirect |
| 243. C8 | #14519838 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#14519838 | 2 |
| #21461061 | 2 |
| #21461028 | 2 |
| #21460664 | 2 |
| C2×C8×Dic122 | 2 |
| #8165 | 61 |