Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
532 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 532 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×#66962 | C2 | semidirect |
| 2. C22×Dic44 | C2 | semidirect |
| 4. #10623057 | C2 | semidirect |
| 5. C11×#405 | C2 | semidirect |
| 6. #10622328 | C2 | semidirect |
| 7. #10622312 | C2 | semidirect |
| 8. #10622309 | C2 | semidirect |
| 89. #405 | D11 | semidirect |
| 155. C11 | #3156 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#66962 | 2 |
| C22×Dic44 | 2 |
| C2×#66957 | 2 |
| #10623057 | 2 |
| C11×#405 | 2 |
| #10622328 | 2 |
| #10622312 | 2 |
| #10622309 | 2 |
| #3156 | 11 |