Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
326 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 326 conjugacy classes of subgroups — too many to draw. Only its 133 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 |
|---|---|---|
| 71. Dic44 | Q8 | semidirect |
| 182. C11 | #3387 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10623098 | 2 |
| Q8×Dic22 | 2 |
| C11×#446 | 2 |
| #10622464 | 2 |
| #10622463 | 2 |
| #10622442 | 2 |
| #10622329 | 2 |
| #10622315 | 2 |
| C4×Dic44 | 2 |
| #10622293 | 2 |
| #3387 | 11 |