Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
342 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 342 conjugacy classes of subgroups — too many to draw. Only its 113 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. #10622795 | C2 | semidirect |
| 7. #10622467 | C2 | semidirect |
| 8. #10622406 | C2 | semidirect |
| 9. #10622404 | C2 | semidirect |
| 163. C11 | #3255 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10623153 | 2 |
| C11×#470 | 2 |
| #10622795 | 2 |
| #10622750 | 2 |
| #10622731 | 2 |
| #10622665 | 2 |
| #10622467 | 2 |
| #10622406 | 2 |
| #10622404 | 2 |
| #3255 | 11 |