Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
610 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 610 conjugacy classes of subgroups — too many to draw. Only its 103 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. #20254511 | C2 | semidirect |
| 3. #20248383 | C2 | semidirect |
| 4. #20242061 | C2 | semidirect |
| 5. #20241882 | C2 | semidirect |
| 6. #20241778 | C2 | semidirect |
| 7. C47×#1303 | C2 | semidirect |
| 221. #1303 | D47 | semidirect |
| 252. C47 | #10239 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20254511 | 2 |
| #20252854 | 2 |
| #20248383 | 2 |
| #20242061 | 2 |
| #20241882 | 2 |
| #20241778 | 2 |
| C47×#1303 | 2 |
| #10239 | 47 |