Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
308 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 308 conjugacy classes of subgroups — too many to draw. Only its 107 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 |
|---|---|---|
| 36. C2×#11758185 | Q8 | semidirect |
| 52. C2×C16×C61 | Q8 | semidirect |
| 148. C61 | #13269 | semidirect |
| 171. C2×C16 | Dic122 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21454757 | 2 |
| #21447584 | 2 |
| #21447423 | 2 |
| #21443905 | 2 |
| #21443898 | 2 |
| C61×#1378 | 2 |
| #13269 | 61 |