Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
402 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 402 conjugacy classes of subgroups — too many to draw. Only its 89 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. C2×C11×#102 | C2 | semidirect |
| 3. C2×#66896 | C2 | semidirect |
| 4. C2×#66885 | C2 | semidirect |
| 5. #10622598 | C2 | semidirect |
| 6. C2×#66873 | C2 | semidirect |
| 7. #10622188 | C2 | semidirect |
| 54. C11×C4⋊C4 | D4 | semidirect |
| 113. C2×#102 | D11 | semidirect |
| 206. C4⋊C4 | C22⋊D11 | semidirect |
| 209. C11 | #2041 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#66993 | 2 |
| C2×C11×#102 | 2 |
| C2×#66896 | 2 |
| C2×#66885 | 2 |
| #10622598 | 2 |
| C2×#66873 | 2 |
| #10622188 | 2 |
| #2041 | 11 |