Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
290 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 290 conjugacy classes of subgroups — too many to draw. Only its 87 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 |
|---|---|---|
| 165. C47 | #9585 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20242179 | 2 |
| #20242052 | 2 |
| #20241842 | 2 |
| #20241810 | 2 |
| #20241672 | 2 |
| #20241226 | 2 |
| C47×#1299 | 2 |
| #9585 | 47 |