Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
682 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 682 conjugacy classes of subgroups — too many to draw. Only its 131 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 |
|---|---|---|
| 1. #20242053 | C2 | semidirect |
| 2. #20242026 | C2 | semidirect |
| 3. #20241822 | C2 | semidirect |
| 4. #20241740 | C2 | semidirect |
| 198. C47 | #8477 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20242053 | 2 |
| #20242026 | 2 |
| #20241822 | 2 |
| #20241740 | 2 |
| C47×#3510 | 2 |
| #8477 | 47 |