Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
404 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 404 conjugacy classes of subgroups — too many to draw. Only its 141 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×C11×C4⋊Q8 | C2 | semidirect |
| 3. #10622701 | C2 | semidirect |
| 4. #10622697 | C2 | semidirect |
| 5. #10622692 | C2 | semidirect |
| 6. #10622581 | C2 | semidirect |
| 7. #10622538 | C2 | semidirect |
| 81. C2×C4⋊Q8 | D11 | semidirect |
| 155. C11 | #3227 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C11×C4⋊Q8 | 2 |
| #10623008 | 2 |
| #10622701 | 2 |
| #10622697 | 2 |
| #10622692 | 2 |
| #10622581 | 2 |
| #10622538 | 2 |
| #3227 | 11 |