Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
276 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 276 conjugacy classes of subgroups — too many to draw. Only its 101 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 |
|---|---|---|
| 19. #10622151 | C4 | semidirect |
| 200. C11 | #13116 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10622151 | 2 |
| #13069344 | 2 |
| #13068495 | 2 |
| #13066722 | 2 |
| #13066715 | 2 |
| C11×#1376 | 2 |
| #13116 | 11 |