Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
568 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 568 conjugacy classes of subgroups — too many to draw. Only its 157 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×C4×Dic22 | C2 | semidirect |
| 3. C11×#376 | C2 | semidirect |
| 4. C4×(C2×D11)⋊C4 | C2 | semidirect |
| 5. #10622287 | C2 | semidirect |
| 6. #10622286 | C2 | semidirect |
| 8. #10622272 | C2 | semidirect |
| 83. #376 | D11 | semidirect |
| 146. C11 | #2398 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×D44 | 2 |
| C2×C4×Dic22 | 2 |
| C11×#376 | 2 |
| C4×(C2×D11)⋊C4 | 2 |
| #10622287 | 2 |
| #10622286 | 2 |
| #10622285 | 2 |
| #10622272 | 2 |
| #2398 | 11 |