Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
1050 conjugacy classes of subgroups; only the 143 normal subgroups are shown.
This group has 1050 conjugacy classes of subgroups — too many to draw. Only its 143 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. #21445815 | C2 | semidirect |
| 3. #21444486 | C2 | semidirect |
| 4. #21444245 | C2 | semidirect |
| 5. C61×#1461 | C2 | semidirect |
| 186. #1461 | D61 | semidirect |
| 211. C61 | #8384 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16840434 | 2 |
| #21445815 | 2 |
| #21444486 | 2 |
| #21444245 | 2 |
| C61×#1461 | 2 |
| #8384 | 61 |