Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
436 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 436 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. #20244328 | C2 | semidirect |
| 5. #20241834 | C2 | semidirect |
| 6. #20241237 | C2 | semidirect |
| 7. C47×#1302 | C2 | semidirect |
| 206. #1302 | D47 | semidirect |
| 241. C47 | #9051 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20253470 | 2 |
| #20252529 | 2 |
| #20244328 | 2 |
| #20241974 | 2 |
| #20241834 | 2 |
| #20241237 | 2 |
| C47×#1302 | 2 |
| #9051 | 47 |