Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
254 conjugacy classes of subgroups; only the 151 normal subgroups are shown.
This group has 254 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. #13066750 | C2 | semidirect |
| 4. #13066749 | C2 | semidirect |
| 5. C11×#1397 | C2 | semidirect |
| 15. D11×C32 | C4 | semidirect |
| 29. C11×C32 | C2×C4 | semidirect |
| 30. C11⋊C32 | C2×C4 | semidirect |
| 52. #1397 | D11 | direct (N × H) |
| 98. C32 | C4×D11 | semidirect |
| 101. D11 | #1397 | direct (N × H) |
| 118. C11 | C2×#1397 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×D11×C32 | 2 |
| C4×C16×D11 | 2 |
| #13066750 | 2 |
| #13066749 | 2 |
| C11×#1397 | 2 |
| C2×#1397 | 11 |