Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
172 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 172 conjugacy classes of subgroups — too many to draw. Only its 61 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. C4×C11×D8 | C2 | semidirect |
| 3. C4×D88 | C2 | semidirect |
| 4. #10622200 | C2 | semidirect |
| 5. #10622129 | C2 | semidirect |
| 6. #10622128 | C2 | semidirect |
| 7. #10622099 | C2 | semidirect |
| 15. #66890 | C4 | semidirect |
| 25. C11×D8 | C2×C4 | semidirect |
| 34. D88 | C2×C4 | semidirect |
| 36. C11⋊C16 | C2×C4 | semidirect |
| 56. C4×D8 | D11 | semidirect |
| 98. D8 | C4×D11 | semidirect |
| 108. C11 | #2177 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×C11×D8 | 2 |
| C2×#66890 | 2 |
| C4×D88 | 2 |
| #10622200 | 2 |
| #10622129 | 2 |
| #10622128 | 2 |
| #10622099 | 2 |
| #2177 | 11 |