Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
244 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 244 conjugacy classes of subgroups — too many to draw. Only its 89 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 |
|---|---|---|
| 10. #66923 | C4 | semidirect |
| 11. #66922 | C4 | semidirect |
| 30. C4×Dic11 | Q8 | semidirect |
| 88. C11 | #1995 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10623001 | 2 |
| C11×#423 | 2 |
| #10622545 | 2 |
| #10622193 | 2 |
| #1995 | 11 |