Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
206 conjugacy classes of subgroups; only the 62 normal subgroups are shown.
This group has 206 conjugacy classes of subgroups — too many to draw. Only its 62 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 |
|---|---|---|
| 7. #16840651 | C4 | semidirect |
| 8. #16840624 | C4 | semidirect |
| 110. C61 | #7221 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21462181 | 2 |
| #21461373 | 2 |
| #21445948 | 2 |
| #7221 | 61 |