Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
246 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 246 conjugacy classes of subgroups — too many to draw. Only its 123 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 |
|---|---|---|
| 18. #14519713 | C8 | semidirect |
| 97. C61 | #7172 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×#11758185 | 2 |
| C4×#14519713 | 2 |
| C61×#1564 | 2 |
| #7172 | 61 |