Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
284 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 87 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 |
|---|---|---|
| 16. #66943 | C4 | semidirect |
| 17. #66941 | C4 | semidirect |
| 33. C42×C11 | Q8 | semidirect |
| 45. C4×Dic11 | Q8 | semidirect |
| 134. C42 | Dic22 | semidirect |
| 135. C11 | #1994 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10623048 | 2 |
| #10622731 | 2 |
| C42×Dic11 | 2 |
| C11×#339 | 2 |
| #10622193 | 2 |
| #10622170 | 2 |
| #10622161 | 2 |
| #1994 | 11 |