Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
200 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 200 conjugacy classes of subgroups — too many to draw. Only its 83 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 |
|---|---|---|
| 19. #66872 | C4 | semidirect |
| 20. #66871 | C4 | semidirect |
| 119. C11 | #1946 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C11×#424 | 2 |
| C2×#66886 | 2 |
| #10622715 | 2 |
| C2×#66879 | 2 |
| #10622611 | 2 |
| #10622193 | 2 |
| #10622170 | 2 |
| #1946 | 11 |