Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
234 conjugacy classes of subgroups; only the 112 normal subgroups are shown.
This group has 234 conjugacy classes of subgroups — too many to draw. Only its 112 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 |
|---|---|---|
| 17. C2×#11758185 | C8 | semidirect |
| 23. C2×C16×C61 | C8 | semidirect |
| 86. C61 | #7156 | semidirect |
| 96. C2×C16 | #92420 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16840623 | 2 |
| C2×#16839537 | 2 |
| #7156 | 61 |