Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
402 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 402 conjugacy classes of subgroups — too many to draw. Only its 117 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. #10623364 | C2 | semidirect |
| 2. C11×#408 | C2 | semidirect |
| 3. #10622747 | C2 | semidirect |
| 4. #10622729 | C2 | semidirect |
| 5. #10622728 | C2 | semidirect |
| 6. #10622349 | C2 | semidirect |
| 7. #10622347 | C2 | semidirect |
| 8. #10622346 | C2 | semidirect |
| 9. #10622335 | C2 | semidirect |
| 105. #408 | D11 | semidirect |
| 187. C11 | #3203 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10623364 | 2 |
| C11×#408 | 2 |
| #10622747 | 2 |
| #10622729 | 2 |
| #10622728 | 2 |
| #10622349 | 2 |
| #10622347 | 2 |
| #10622346 | 2 |
| #10622335 | 2 |
| #3203 | 11 |