Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
348 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 348 conjugacy classes of subgroups — too many to draw. Only its 121 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 |
|---|---|---|
| 3. #10622795 | C2 | semidirect |
| 7. #10622488 | C2 | semidirect |
| 8. #10622407 | C2 | semidirect |
| 9. #10622406 | C2 | semidirect |
| 77. C2×Dic11 | Q16 | semidirect |
| 166. C11 | #3249 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10623153 | 2 |
| C11×#467 | 2 |
| #10622795 | 2 |
| #10622729 | 2 |
| C2×Dic11⋊C8 | 2 |
| #10622664 | 2 |
| #10622488 | 2 |
| #10622407 | 2 |
| #10622406 | 2 |
| #3249 | 11 |