Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
150 conjugacy classes of subgroups; only the 47 normal subgroups are shown.
This group has 150 conjugacy classes of subgroups — too many to draw. Only its 47 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. D11×#107 | C2 | semidirect |
| 3. C11×#367 | C2 | semidirect |
| 4. #10622147 | C2 | semidirect |
| 5. (C2×D11)⋊C16 | C2 | semidirect |
| 6. #10622129 | C2 | semidirect |
| 7. #10622128 | C2 | semidirect |
| 56. #367 | D11 | semidirect |
| 106. C11 | #2233 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10622496 | 2 |
| D11×#107 | 2 |
| C11×#367 | 2 |
| #10622147 | 2 |
| (C2×D11)⋊C16 | 2 |
| #10622129 | 2 |
| #10622128 | 2 |
| #2233 | 11 |