Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
284 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 87 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. C2×C11×#107 | C2 | semidirect |
| 3. C2×Dic11⋊C8 | C2 | semidirect |
| 5. #10622598 | C2 | semidirect |
| 7. #10622167 | C2 | semidirect |
| 89. C2×#107 | D11 | semidirect |
| 172. C11 | #2067 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C11×#107 | 2 |
| C2×#66885 | 2 |
| C2×Dic11⋊C8 | 2 |
| #10622601 | 2 |
| #10622598 | 2 |
| C2×#66873 | 2 |
| #10622167 | 2 |
| #2067 | 11 |