Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
926 conjugacy classes of subgroups; only the 280 normal subgroups are shown.
This group has 926 conjugacy classes of subgroups — too many to draw. Only its 280 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 |
|---|---|---|
| 2. #21461737 | C2 | semidirect |
| 135. C61 | #20753 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16840765 | 2 |
| #21461737 | 2 |
| #21461482 | 2 |
| C2×#16839607 | 2 |
| #20753 | 61 |