Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
492 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 492 conjugacy classes of subgroups — too many to draw. Only its 95 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. #21445808 | C2 | semidirect |
| 3. #21444595 | C2 | semidirect |
| 4. #21444487 | C2 | semidirect |
| 5. #21444211 | C2 | semidirect |
| 6. #21443715 | C2 | semidirect |
| 7. C61×#1545 | C2 | semidirect |
| 181. #1545 | D61 | semidirect |
| 208. C61 | #10440 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16839954 | 2 |
| #21445808 | 2 |
| #21444595 | 2 |
| #21444487 | 2 |
| #21444211 | 2 |
| #21443715 | 2 |
| C61×#1545 | 2 |
| #10440 | 61 |