Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
482 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 482 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 |
|---|---|---|
| 4. #20241835 | C2 | semidirect |
| 5. #20241281 | C2 | semidirect |
| 6. #20241244 | C2 | semidirect |
| 7. C47×#2320 | C2 | semidirect |
| 10. #15689418 | C4 | semidirect |
| 11. #15689323 | C4 | semidirect |
| 176. #2320 | D47 | semidirect |
| 209. C47 | #9330 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20253510 | 2 |
| #20244306 | 2 |
| #20241895 | 2 |
| #20241835 | 2 |
| #20241281 | 2 |
| #20241244 | 2 |
| C47×#2320 | 2 |
| #9330 | 47 |