Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
1160 conjugacy classes of subgroups; only the 269 normal subgroups are shown.
This group has 1160 conjugacy classes of subgroups — too many to draw. Only its 269 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. C22×C11×C22⋊C4 | C2 | semidirect |
| 3. C22×C22⋊Dic11 | C2 | semidirect |
| 4. #10622826 | C2 | semidirect |
| 5. #10622571 | C2 | semidirect |
| 6. #10622568 | C2 | semidirect |
| 7. #10622556 | C2 | semidirect |
| 10. C23×C4×C11 | C22 | semidirect |
| 13. C22×C22⋊D11 | C4 | semidirect |
| 17. C23×Dic11 | C22 | semidirect |
| 20. C2×C11×C22⋊C4 | C22 | semidirect |
| 23. C2×C22⋊Dic11 | C22 | semidirect |
| 24. C2×(C2×D11)⋊C4 | C22 | semidirect |
| 25. C11⋊#95 | C22 | semidirect |
| 36. C23×D11 | C2×C4 | semidirect |
| 46. C2×C22⋊D11 | C2×C4 | semidirect |
| 47. C2×C22⋊D11 | C2×C4 | semidirect |
| 52. C22×Dic11 | C2×C4 | semidirect |
| 67. C23×C11 | C22⋊C4 | semidirect |
| 100. C22×C22⋊C4 | D11 | semidirect |
| 139. C23×C4 | C2×D11 | semidirect |
| 146. C2×C22⋊C4 | C2×D11 | semidirect |
| 190. C11 | #2308 | semidirect |
| 205. C23 | (C2×D11)⋊C4 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C23×C22⋊D11 | 2 |
| C22×C11×C22⋊C4 | 2 |
| C22×C22⋊Dic11 | 2 |
| #10622826 | 2 |
| #10622571 | 2 |
| #10622568 | 2 |
| #10622556 | 2 |
| #2308 | 11 |