Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
442 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 442 conjugacy classes of subgroups — too many to draw. Only its 109 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×#10622131 | C2 | semidirect |
| 3. C2×#10622154 | C2 | semidirect |
| 4. #13070215 | C2 | semidirect |
| 5. #13069527 | C2 | semidirect |
| 6. #13069524 | C2 | semidirect |
| 7. C2×C11×#361 | C2 | semidirect |
| 17. C2×#66890 | C4 | semidirect |
| 114. C2×#361 | D11 | semidirect |
| 274. C11 | #13245 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#66890 | 2 |
| C2×#10622131 | 2 |
| C2×#10622154 | 2 |
| #13070215 | 2 |
| #13069527 | 2 |
| #13069524 | 2 |
| C2×C11×#361 | 2 |
| #13245 | 11 |