Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
462 conjugacy classes of subgroups; only the 232 normal subgroups are shown.
This group has 462 conjugacy classes of subgroups — too many to draw. Only its 232 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 |
|---|---|---|
| 26. C4×C8×C61 | C8 | semidirect |
| 64. C8×C61 | C4⋊C8 | semidirect |
| 72. C4×C61 | #334 | semidirect |
| 95. C61 | #8805 | semidirect |
| 110. C4×C8 | #92420 | semidirect |
| 149. C8 | C4⋊#92420 | semidirect |
| 159. C4 | #16840623 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21461751 | 2 |
| C2×#16840623 | 2 |
| C4×C8×Dic61 | 2 |
| #8805 | 61 |