Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
534 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 534 conjugacy classes of subgroups — too many to draw. Only its 131 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. #21446808 | C2 | semidirect |
| 4. #21444578 | C2 | semidirect |
| 5. #21444499 | C2 | semidirect |
| 7. C61×#1451 | C2 | semidirect |
| 129. C8×C61 | #100 | semidirect |
| 155. #1451 | D61 | semidirect |
| 179. C61 | #9805 | semidirect |
| 285. C8 | #14519693 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16840135 | 2 |
| #21446808 | 2 |
| #21446659 | 2 |
| #21444578 | 2 |
| #21444499 | 2 |
| #21444486 | 2 |
| C61×#1451 | 2 |
| #9805 | 61 |