Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
446 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 446 conjugacy classes of subgroups — too many to draw. Only its 119 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. #21447574 | C2 | semidirect |
| 5. #21445974 | C2 | semidirect |
| 6. #21443924 | C2 | semidirect |
| 7. C61×#1386 | C2 | semidirect |
| 11. #16839856 | C4 | semidirect |
| 13. #16839844 | C4 | semidirect |
| 99. Dic244 | C4⋊C4 | semidirect |
| 101. D488 | C4⋊C4 | semidirect |
| 153. Dic61 | #360 | semidirect |
| 160. #1386 | D61 | semidirect |
| 183. C61 | #12816 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21454590 | 2 |
| #21447574 | 2 |
| C2×#16839573 | 2 |
| C2×#16839571 | 2 |
| #21445974 | 2 |
| #21443924 | 2 |
| C61×#1386 | 2 |
| #12816 | 61 |