Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
230 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 230 conjugacy classes of subgroups — too many to draw. Only its 51 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×#66972 | C2 | semidirect |
| 2. C2×#66892 | C2 | semidirect |
| 3. C2×D176 | C2 | semidirect |
| 4. #10622496 | C2 | semidirect |
| 5. C11×#358 | C2 | semidirect |
| 6. (C2×D11)⋊C16 | C2 | semidirect |
| 7. #10622129 | C2 | semidirect |
| 33. C11×Q16 | D4 | semidirect |
| 42. D88 | D4 | semidirect |
| 73. #358 | D11 | semidirect |
| 122. Q16 | D44 | semidirect |
| 136. C11 | #2186 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#66972 | 2 |
| C2×#66892 | 2 |
| C2×D176 | 2 |
| #10622496 | 2 |
| C11×#358 | 2 |
| (C2×D11)⋊C16 | 2 |
| #10622129 | 2 |
| #2186 | 11 |