Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
158 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 158 conjugacy classes of subgroups — too many to draw. Only its 57 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 |
|---|---|---|
| 112. C11 | #2102 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10622737 | 2 |
| #10622731 | 2 |
| C11×#344 | 2 |
| #10622197 | 2 |
| #10622193 | 2 |
| #10622170 | 2 |
| #10622169 | 2 |
| #2102 | 11 |