Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
438 conjugacy classes of subgroups; only the 136 normal subgroups are shown.
This group has 438 conjugacy classes of subgroups — too many to draw. Only its 136 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. C2×#16840683 | C2 | semidirect |
| 4. #21460858 | C2 | semidirect |
| 88. C2×Dic61 | M32 | semidirect |
| 134. C61 | #12913 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#14519851 | 2 |
| C2×#16840683 | 2 |
| C2×C22⋊#11758187 | 2 |
| #21460858 | 2 |
| #21445593 | 2 |
| #12913 | 61 |