Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
154 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 154 conjugacy classes of subgroups — too many to draw. Only its 51 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. #10622507 | C2 | semidirect |
| 3. #10622482 | C2 | semidirect |
| 4. C11×#365 | C2 | semidirect |
| 5. #10622150 | C2 | semidirect |
| 6. #10622133 | C2 | semidirect |
| 7. #10622126 | C2 | semidirect |
| 19. #66864 | C4 | semidirect |
| 20. D176 | C4 | semidirect |
| 30. Dic44 | C2×C4 | semidirect |
| 33. D88 | C2×C4 | semidirect |
| 37. C11×C16 | C2×C4 | semidirect |
| 58. #365 | D11 | semidirect |
| 106. C16 | C4×D11 | semidirect |
| 107. C11 | AGL(1,ℤ/16) | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10622521 | 2 |
| #10622507 | 2 |
| #10622482 | 2 |
| C11×#365 | 2 |
| #10622150 | 2 |
| #10622133 | 2 |
| #10622126 | 2 |
| AGL(1,ℤ/16) | 11 |