Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
380 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 93 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. #21445972 | C2 | semidirect |
| 5. #21443711 | C2 | semidirect |
| 6. #21443668 | C2 | semidirect |
| 7. C61×#1573 | C2 | semidirect |
| 176. #1573 | D61 | semidirect |
| 210. C61 | #8876 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21454960 | 2 |
| #21445972 | 2 |
| #21444306 | 2 |
| #21444230 | 2 |
| #21443711 | 2 |
| #21443668 | 2 |
| C61×#1573 | 2 |
| #8876 | 61 |