Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
324 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 324 conjugacy classes of subgroups — too many to draw. Only its 123 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 |
|---|---|---|
| 66. Dic44 | Q8 | semidirect |
| 169. C11 | #3383 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10623216 | 2 |
| C11×#499 | 2 |
| #10622676 | 2 |
| #10622491 | 2 |
| #10622487 | 2 |
| #10622486 | 2 |
| #10622470 | 2 |
| #10622467 | 2 |
| C4×Dic44 | 2 |
| C8×Dic22 | 2 |
| #3383 | 11 |