Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
184 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 184 conjugacy classes of subgroups — too many to draw. Only its 59 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 |
|---|---|---|
| 125. C11 | #2082 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C11×#419 | 2 |
| C2×#66900 | 2 |
| #10622838 | 2 |
| #10622737 | 2 |
| #10622197 | 2 |
| #10622171 | 2 |
| #10622169 | 2 |
| #2082 | 11 |