Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
234 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 234 conjugacy classes of subgroups — too many to draw. Only its 95 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. #10622140 | C4 | semidirect |
| 20. C16×Dic11 | C4 | semidirect |
| 178. C11 | #12893 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13070212 | 2 |
| #13068741 | 2 |
| #13068739 | 2 |
| #13066719 | 2 |
| #13066717 | 2 |
| #13066712 | 2 |
| C11×#1382 | 2 |
| #12893 | 11 |