Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
564 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 564 conjugacy classes of subgroups — too many to draw. Only its 165 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. C2×#66957 | C2 | semidirect |
| 2. #10623008 | C2 | semidirect |
| 3. C2×C11×#97 | C2 | semidirect |
| 4. #10622328 | C2 | semidirect |
| 5. #10622325 | C2 | semidirect |
| 27. C2×C8×C11 | D4 | semidirect |
| 55. C2×#97 | D11 | semidirect |
| 93. C2×C8 | D44 | semidirect |
| 99. C11 | #3150 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#66957 | 2 |
| #10623008 | 2 |
| C2×C11×#97 | 2 |
| #10622328 | 2 |
| #10622325 | 2 |
| #3150 | 11 |