Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
150 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 150 conjugacy classes of subgroups — too many to draw. Only its 51 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. C2×#66893 | C2 | semidirect |
| 5. #10622202 | C2 | semidirect |
| 6. #10622130 | C2 | semidirect |
| 7. #10622128 | C2 | semidirect |
| 111. C11 | #2219 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C11×#467 | 2 |
| C2×#66893 | 2 |
| #10622729 | 2 |
| C2×#66876 | 2 |
| #10622202 | 2 |
| #10622130 | 2 |
| #10622128 | 2 |
| #2219 | 11 |