Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
276 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 276 conjugacy classes of subgroups — too many to draw. Only its 99 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 |
| #13069342 | 2 |
| #13068497 | 2 |
| #13066721 | 2 |
| #13066714 | 2 |
| #13066697 | 2 |
| C11×#1386 | 2 |
| #13116 | 11 |