Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
568 conjugacy classes of subgroups; only the 161 normal subgroups are shown.
This group has 568 conjugacy classes of subgroups — too many to draw. Only its 161 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×C4×Q8×C11 | C2 | semidirect |
| 3. #10622844 | C2 | semidirect |
| 4. #10622606 | C2 | semidirect |
| 6. #10622599 | C2 | semidirect |
| 7. C4×(C2×D11)⋊C4 | C2 | semidirect |
| 8. #10622545 | C2 | semidirect |
| 76. C2×C4×Q8 | D11 | semidirect |
| 146. C11 | #2398 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×Q8×C11 | 2 |
| C2×C4×D44 | 2 |
| #10622844 | 2 |
| #10622606 | 2 |
| #10622604 | 2 |
| #10622599 | 2 |
| C4×(C2×D11)⋊C4 | 2 |
| #10622545 | 2 |
| #2398 | 11 |