Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
262 conjugacy classes of subgroups; only the 84 normal subgroups are shown.
This group has 262 conjugacy classes of subgroups — too many to draw. Only its 84 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 |
| 12. #16839515 | C4 | semidirect |
| 14. C61×#335 | C4 | semidirect |
| 20. #14519845 | C8 | semidirect |
| 107. #335 | #6923 | semidirect |
| 109. C61 | #7175 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#14519852 | 2 |
| C4×#14519845 | 2 |
| #21444566 | 2 |
| #7175 | 61 |