Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
392 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 392 conjugacy classes of subgroups — too many to draw. Only its 107 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. #21447430 | C2 | semidirect |
| 3. #21443760 | C2 | semidirect |
| 4. #21443744 | C2 | semidirect |
| 5. C2×C61×C22⋊C16 | C2 | semidirect |
| 164. C2×C22⋊C16 | D61 | semidirect |
| 191. C61 | #11470 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21454513 | 2 |
| #21447430 | 2 |
| #21443760 | 2 |
| #21443744 | 2 |
| C2×C61×C22⋊C16 | 2 |
| #11470 | 61 |