Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
258 conjugacy classes of subgroups; only the 100 normal subgroups are shown.
This group has 258 conjugacy classes of subgroups — too many to draw. Only its 100 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 |
|---|---|---|
| 12. #16840654 | C4 | semidirect |
| 13. #16840650 | C4 | semidirect |
| 14. C4×#11758187 | C4 | semidirect |
| 132. C61 | #12597 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21462040 | 2 |
| #21462028 | 2 |
| #21460874 | 2 |
| #21460873 | 2 |
| #21460870 | 2 |
| #21460869 | 2 |
| #21445573 | 2 |
| #12597 | 61 |