Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
286 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 286 conjugacy classes of subgroups — too many to draw. Only its 81 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 |
|---|---|---|
| 4. #13066810 | C2 | semidirect |
| 5. #13066809 | C2 | semidirect |
| 6. #13066808 | C2 | semidirect |
| 7. C11×#1420 | C2 | semidirect |
| 88. #1420 | D11 | direct (N × H) |
| 169. D11 | #1420 | direct (N × H) |
| 199. C11 | C2×#1420 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×D11×Q32 | 2 |
| D11×M64 | 2 |
| D11×#368 | 2 |
| #13066810 | 2 |
| #13066809 | 2 |
| #13066808 | 2 |
| C11×#1420 | 2 |
| C2×#1420 | 11 |