Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
230 conjugacy classes of subgroups; only the 77 normal subgroups are shown.
This group has 230 conjugacy classes of subgroups — too many to draw. Only its 77 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×C8×C11 | C2 | semidirect |
| 4. #10622715 | C2 | semidirect |
| 6. #10622190 | C2 | semidirect |
| 7. #10622161 | C2 | semidirect |
| 16. #66885 | C4 | semidirect |
| 18. #66880 | C4 | semidirect |
| 77. C2×C4×C8 | D11 | semidirect |
| 138. C11 | #1937 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×C8×C11 | 2 |
| #10622726 | 2 |
| #10622723 | 2 |
| #10622715 | 2 |
| C2×#66869 | 2 |
| #10622190 | 2 |
| #10622161 | 2 |
| #1937 | 11 |