Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
448 conjugacy classes of subgroups; only the 84 normal subgroups are shown.
This group has 448 conjugacy classes of subgroups — too many to draw. Only its 84 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 |
|---|---|---|
| 1. C2×#16840659 | C2 | semidirect |
| 2. C2×#16840630 | C2 | semidirect |
| 3. #21460792 | C2 | semidirect |
| 4. #21460790 | C2 | semidirect |
| 12. C2×#14519799 | C4 | semidirect |
| 15. #16840021 | C4 | semidirect |
| 17. #16840016 | C4 | semidirect |
| 22. C61×#427 | C4 | semidirect |
| 37. C2×Dic244 | C2×C4 | semidirect |
| 39. C2×D488 | C2×C4 | semidirect |
| 62. #106×C61 | C2×C4 | semidirect |
| 63. #106×C61 | C2×C4 | semidirect |
| 209. #427 | #6923 | semidirect |
| 215. C61 | #11685 | semidirect |
| 251. #106 | C2×#6923 | semidirect |
| 252. #106 | C2×#6923 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16840659 | 2 |
| C2×#16840630 | 2 |
| #21460792 | 2 |
| #21460790 | 2 |
| #21455429 | 2 |
| #11685 | 61 |