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 |
|---|---|---|
| 9. #16840623 | C4 | semidirect |
| 13. C4×#11758185 | C4 | semidirect |
| 14. C4×C16×C61 | C4 | semidirect |
| 18. #14519845 | C8 | semidirect |
| 104. C4×C16 | #6923 | semidirect |
| 108. C61 | #7174 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#14519845 | 2 |
| #21461367 | 2 |
| C4×#14519716 | 2 |
| #7174 | 61 |