Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
452 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 452 conjugacy classes of subgroups — too many to draw. Only its 97 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 |
|---|---|---|
| 2. #20252489 | C2 | semidirect |
| 3. #20242125 | C2 | semidirect |
| 6. #20241278 | C2 | semidirect |
| 7. C47×#1299 | C2 | semidirect |
| 175. #1299 | D47 | semidirect |
| 203. C47 | #9438 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20253763 | 2 |
| #20252489 | 2 |
| #20242125 | 2 |
| #20242057 | 2 |
| #20242055 | 2 |
| #20241278 | 2 |
| C47×#1299 | 2 |
| #9438 | 47 |