Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
482 conjugacy classes of subgroups; only the 128 normal subgroups are shown.
This group has 482 conjugacy classes of subgroups — too many to draw. Only its 128 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 |
|---|---|---|
| 63. C2×#92420 | Q16 | semidirect |
| 143. C61 | #9662 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21461988 | 2 |
| C2×#16840626 | 2 |
| C2×Q8⋊#92420 | 2 |
| C2×#92420⋊C8 | 2 |
| C2×Q16×Dic61 | 2 |
| #9662 | 61 |