Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
372 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 372 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 |
|---|---|---|
| 4. C2×Dic11⋊C8 | C2 | semidirect |
| 5. #10622589 | C2 | semidirect |
| 6. #10622189 | C2 | semidirect |
| 7. #10622167 | C2 | semidirect |
| 14. D4×Dic11 | C4 | semidirect |
| 69. D4×C11 | C4⋊C4 | semidirect |
| 123. Dic11 | #102 | semidirect |
| 181. C11 | #1802 | semidirect |
| 193. D4 | Dic11⋊C4 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×D4×Dic11 | 2 |
| C2×C11×#102 | 2 |
| C2×#66896 | 2 |
| C2×Dic11⋊C8 | 2 |
| #10622589 | 2 |
| #10622189 | 2 |
| #10622167 | 2 |
| #1802 | 11 |