Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
216 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 216 conjugacy classes of subgroups — too many to draw. Only its 53 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×Q32 | C2 | semidirect |
| 4. C2×#66893 | C2 | semidirect |
| 5. #10622202 | C2 | semidirect |
| 7. #10622141 | C2 | semidirect |
| 70. C2×Q32 | D11 | semidirect |
| 78. C2×D11 | Q32 | semidirect |
| 129. C11 | #2188 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×Q16×D11 | 2 |
| C2×C11×Q32 | 2 |
| #10622801 | 2 |
| C2×#66893 | 2 |
| #10622202 | 2 |
| (C2×D11)⋊C16 | 2 |
| #10622141 | 2 |
| #2188 | 11 |