Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
182 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 182 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 |
|---|---|---|
| 1. #10622689 | C2 | semidirect |
| 3. #10622459 | C2 | semidirect |
| 4. #10622451 | C2 | semidirect |
| 5. C11×#331 | C2 | semidirect |
| 6. #10622120 | C2 | semidirect |
| 7. #10622117 | C2 | semidirect |
| 66. C11⋊C8 | D8 | semidirect |
| 73. #331 | D11 | semidirect |
| 128. C11 | #1685 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10622689 | 2 |
| #10622685 | 2 |
| #10622459 | 2 |
| #10622451 | 2 |
| C11×#331 | 2 |
| #10622120 | 2 |
| #10622117 | 2 |
| #1685 | 11 |