Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
324 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 324 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×C4⋊C8 | C2 | semidirect |
| 4. C2×#66880 | C2 | semidirect |
| 6. #10622542 | C2 | semidirect |
| 7. #10622189 | C2 | semidirect |
| 73. C2×C4×C11 | SD16 | semidirect |
| 100. C2×C4⋊C8 | D11 | semidirect |
| 188. C11 | #2055 | semidirect |
| 219. C2×C4 | #4314 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#4314 | 2 |
| C2×C11×C4⋊C8 | 2 |
| C2×#66885 | 2 |
| C2×#66880 | 2 |
| #10622552 | 2 |
| #10622542 | 2 |
| #10622189 | 2 |
| #2055 | 11 |