Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
250 conjugacy classes of subgroups; only the 151 normal subgroups are shown.
This group has 250 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. #13066749 | C2 | semidirect |
| 4. C4×C11⋊C32 | C2 | semidirect |
| 5. C4×C11×C32 | C2 | semidirect |
| 15. #10622085 | C4 | direct (N × H) |
| 29. C11×C32 | C2×C4 | semidirect |
| 30. C11⋊C32 | C2×C4 | semidirect |
| 52. C4×C32 | D11 | semidirect |
| 79. C4×C11 | M64 | semidirect |
| 98. C32 | C4×D11 | semidirect |
| 118. C11 | C4×M64 | semidirect |
| 137. C4 | #10622085 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10622085 | 2 |
| C4×C16×D11 | 2 |
| #13066749 | 2 |
| C4×C11⋊C32 | 2 |
| C4×C11×C32 | 2 |
| C4×M64 | 11 |