Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
1170 conjugacy classes of subgroups; only the 207 normal subgroups are shown.
This group has 1170 conjugacy classes of subgroups — too many to draw. Only its 207 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 |
|---|---|---|
| 1. #21456937 | C2 | semidirect |
| 2. #21450804 | C2 | semidirect |
| 3. #21444822 | C2 | semidirect |
| 4. #21444314 | C2 | semidirect |
| 5. #21444143 | C2 | semidirect |
| 211. C61 | #18408 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21456937 | 2 |
| #21450804 | 2 |
| #21444822 | 2 |
| #21444314 | 2 |
| #21444143 | 2 |
| C61×#3497 | 2 |
| #18408 | 61 |