Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
362 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 117 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. #10623252 | C2 | semidirect |
| 4. #10622780 | C2 | semidirect |
| 5. #10622779 | C2 | semidirect |
| 6. #10622777 | C2 | semidirect |
| 7. #10622775 | C2 | semidirect |
| 8. #10622703 | C2 | semidirect |
| 10. C4×Dic44 | C2 | semidirect |
| 11. #10622292 | C2 | semidirect |
| 197. C11 | #3400 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10623252 | 2 |
| #10623244 | 2 |
| C11×#492 | 2 |
| #10622780 | 2 |
| #10622779 | 2 |
| #10622777 | 2 |
| #10622775 | 2 |
| #10622703 | 2 |
| #10622688 | 2 |
| C4×Dic44 | 2 |
| #10622292 | 2 |
| #3400 | 11 |