Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
182 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 182 conjugacy classes of subgroups — too many to draw. Only its 63 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. #21447691 | C2 | semidirect |
| 3. #21444026 | C2 | semidirect |
| 4. #21444011 | C2 | semidirect |
| 6. #21443955 | C2 | semidirect |
| 10. #16839602 | C4 | semidirect |
| 11. #16839600 | C4 | semidirect |
| 104. C61 | #13657 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21448136 | 2 |
| #21447691 | 2 |
| #21444026 | 2 |
| #21444011 | 2 |
| #21444006 | 2 |
| #21443955 | 2 |
| C61×#2179 | 2 |
| #13657 | 61 |