Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
164 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 164 conjugacy classes of subgroups — too many to draw. Only its 71 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. C22×C11⋊C16 | C2 | semidirect |
| 3. C2×#66862 | C2 | semidirect |
| 4. C11×C22⋊C16 | C2 | semidirect |
| 5. (C2×D11)⋊C16 | C2 | semidirect |
| 6. #10622140 | C2 | semidirect |
| 7. Dic11⋊C16 | C2 | semidirect |
| 39. C11⋊C16 | D4 | semidirect |
| 63. C22⋊C16 | D11 | semidirect |
| 67. C22×C11 | M32 | semidirect |
| 115. C11 | #2168 | semidirect |
| 138. C22 | #66862 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C8×C22⋊D11 | 2 |
| C22×C11⋊C16 | 2 |
| C2×#66862 | 2 |
| C11×C22⋊C16 | 2 |
| (C2×D11)⋊C16 | 2 |
| #10622140 | 2 |
| Dic11⋊C16 | 2 |
| #2168 | 11 |