Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
456 conjugacy classes of subgroups; only the 189 normal subgroups are shown.
This group has 456 conjugacy classes of subgroups — too many to draw. Only its 189 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 |
|---|---|---|
| 5. #10622643 | C2 | semidirect |
| 6. C4×#4326 | C2 | semidirect |
| 17. C2×#4326 | C4 | semidirect |
| 161. C11 | #2950 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C11×#519 | 2 |
| C22×#4326 | 2 |
| #10623047 | 2 |
| #10622838 | 2 |
| #10622643 | 2 |
| C4×#4326 | 2 |
| #10622617 | 2 |
| #10622611 | 2 |
| #10622610 | 2 |
| #2950 | 11 |