Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
212 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 212 conjugacy classes of subgroups — too many to draw. Only its 75 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. #21447655 | C2 | semidirect |
| 3. #21443791 | C2 | semidirect |
| 4. #21443735 | C2 | semidirect |
| 5. C61×#1373 | C2 | semidirect |
| 18. Dic488 | C8 | semidirect |
| 19. #14519722 | C8 | semidirect |
| 20. D976 | C8 | semidirect |
| 70. #1373 | D61 | semidirect |
| 86. C61 | #12047 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21447701 | 2 |
| #21447655 | 2 |
| #21443791 | 2 |
| #21443735 | 2 |
| C61×#1373 | 2 |
| #12047 | 61 |