Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
154 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 154 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. #10622691 | C2 | semidirect |
| 5. C11×#333 | C2 | semidirect |
| 6. #10622119 | C2 | semidirect |
| 7. #10622118 | C2 | semidirect |
| 65. #333 | D11 | semidirect |
| 114. C11 | #1695 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10622697 | 2 |
| #10622691 | 2 |
| #10622455 | 2 |
| #10622451 | 2 |
| C11×#333 | 2 |
| #10622119 | 2 |
| #10622118 | 2 |
| #1695 | 11 |