Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
380 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 103 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 |
|---|---|---|
| 4. #21443926 | C2 | semidirect |
| 5. #21443921 | C2 | semidirect |
| 6. #21443920 | C2 | semidirect |
| 7. C61×#1386 | C2 | semidirect |
| 15. #16839797 | C4 | semidirect |
| 16. #106×D61 | C4 | semidirect |
| 150. #1386 | D61 | semidirect |
| 173. C61 | #12873 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21454410 | 2 |
| #21447439 | 2 |
| #21445862 | 2 |
| #21443926 | 2 |
| #21443921 | 2 |
| #21443920 | 2 |
| C61×#1386 | 2 |
| #12873 | 61 |