Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
742 conjugacy classes of subgroups; only the 139 normal subgroups are shown.
This group has 742 conjugacy classes of subgroups — too many to draw. Only its 139 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 |
|---|---|---|
| 2. C2×#10622640 | C2 | semidirect |
| 3. C2×#10622123 | C2 | semidirect |
| 4. #13066451 | C2 | semidirect |
| 5. C11×#1984 | C2 | semidirect |
| 52. C2×Q8×C11 | D8 | semidirect |
| 75. C2×C8×C11 | SD16 | semidirect |
| 89. #1984 | D11 | semidirect |
| 196. C2×Q8 | D88 | semidirect |
| 224. C2×C8 | #4325 | semidirect |
| 231. C11 | #10262 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10622308 | 2 |
| C2×#10622640 | 2 |
| C2×#10622123 | 2 |
| #13066451 | 2 |
| C11×#1984 | 2 |
| #10262 | 11 |