Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
298 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 298 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 |
|---|---|---|
| 157. C47 | #10639 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20243400 | 2 |
| #20243381 | 2 |
| #20242163 | 2 |
| #20241784 | 2 |
| #20241283 | 2 |
| #20241246 | 2 |
| C47×#1286 | 2 |
| #10639 | 47 |