Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
436 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 436 conjugacy classes of subgroups — too many to draw. Only its 89 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. #20241732 | C2 | semidirect |
| 5. #20241299 | C2 | semidirect |
| 6. #20241250 | C2 | semidirect |
| 7. C47×#1487 | C2 | semidirect |
| 166. #1487 | D47 | semidirect |
| 196. C47 | #9527 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20253510 | 2 |
| #20252463 | 2 |
| #20242108 | 2 |
| #20241732 | 2 |
| #20241299 | 2 |
| #20241250 | 2 |
| C47×#1487 | 2 |
| #9527 | 47 |