Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
276 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 276 conjugacy classes of subgroups — too many to draw. Only its 67 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 |
|---|---|---|
| 4. C2×#66888 | C2 | semidirect |
| 5. #10622733 | C2 | semidirect |
| 6. #10622732 | C2 | semidirect |
| 7. #10622196 | C2 | semidirect |
| 154. C11 | #2046 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#4324 | 2 |
| C2×C11×#100 | 2 |
| #10622828 | 2 |
| C2×#66888 | 2 |
| #10622733 | 2 |
| #10622732 | 2 |
| #10622196 | 2 |
| #2046 | 11 |