Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
326 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 326 conjugacy classes of subgroups — too many to draw. Only its 91 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. C2×#66922 | C2 | semidirect |
| 4. C11×#336 | C2 | semidirect |
| 5. #10622189 | C2 | semidirect |
| 26. C2×D44 | Q8 | semidirect |
| 73. #336 | D11 | semidirect |
| 136. C11 | #2023 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#66922 | 2 |
| C2×#66885 | 2 |
| #10622552 | 2 |
| C11×#336 | 2 |
| #10622189 | 2 |
| #2023 | 11 |