Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
442 conjugacy classes of subgroups; only the 151 normal subgroups are shown.
This group has 442 conjugacy classes of subgroups — too many to draw. Only its 151 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 |
|---|---|---|
| 3. C4×#66883 | C2 | semidirect |
| 4. #13066712 | C2 | semidirect |
| 5. C2×C11×#346 | C2 | semidirect |
| 19. #10622148 | C4 | semidirect |
| 38. C2×C11×C16 | C2×C4 | semidirect |
| 43. #66883 | C2×C4 | semidirect |
| 85. C2×#346 | D11 | semidirect |
| 155. C2×C16 | C4×D11 | semidirect |
| 203. C11 | #12640 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#66957 | 2 |
| C2×#10622148 | 2 |
| C4×#66883 | 2 |
| #13066712 | 2 |
| C2×C11×#346 | 2 |
| #12640 | 11 |