Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
292 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 292 conjugacy classes of subgroups — too many to draw. Only its 109 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 |
|---|---|---|
| 14. C4×Dic22 | C4 | semidirect |
| 127. C11 | #1805 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×Dic22 | 2 |
| C2×C11×C4⋊C8 | 2 |
| C2×#66880 | 2 |
| #10622549 | 2 |
| #10622189 | 2 |
| #1805 | 11 |