Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
360 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 141 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 |
|---|---|---|
| 3. #10622694 | C2 | semidirect |
| 4. #10622692 | C2 | semidirect |
| 6. #10622633 | C2 | semidirect |
| 146. C11 | #3229 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C11×#533 | 2 |
| C2×#66922 | 2 |
| #10622694 | 2 |
| #10622692 | 2 |
| #10622656 | 2 |
| #10622633 | 2 |
| #10622538 | 2 |
| #3229 | 11 |