Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
418 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 418 conjugacy classes of subgroups — too many to draw. Only its 93 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 |
|---|---|---|
| 3. #20244340 | C2 | semidirect |
| 4. #20242113 | C2 | semidirect |
| 6. #20241257 | C2 | semidirect |
| 7. C47×#1285 | C2 | semidirect |
| 10. #15689532 | C4 | semidirect |
| 11. #15689483 | C4 | semidirect |
| 189. #1285 | D47 | semidirect |
| 221. C47 | #9375 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20254611 | 2 |
| #20252529 | 2 |
| #20244340 | 2 |
| #20242113 | 2 |
| #20241911 | 2 |
| #20241257 | 2 |
| C47×#1285 | 2 |
| #9375 | 47 |