Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
234 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 234 conjugacy classes of subgroups — too many to draw. Only its 103 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. #10622099 | C4 | semidirect |
| 20. C4×C11⋊C16 | 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 |
|---|---|
| #13070213 | 2 |
| #13068740 | 2 |
| #13066719 | 2 |
| #13066717 | 2 |
| #13066713 | 2 |
| #13066711 | 2 |
| C11×#1833 | 2 |
| #12893 | 11 |