Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
544 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 544 conjugacy classes of subgroups — too many to draw. Only its 113 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. #20246305 | C2 | semidirect |
| 4. #20241784 | C2 | semidirect |
| 5. #20241290 | C2 | semidirect |
| 6. #20241246 | C2 | semidirect |
| 12. #15689330 | C4 | semidirect |
| 13. #15689320 | C4 | semidirect |
| 230. C47 | #9180 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20252856 | 2 |
| #20246305 | 2 |
| #20241883 | 2 |
| #20241784 | 2 |
| #20241290 | 2 |
| #20241246 | 2 |
| C47×#1517 | 2 |
| #9180 | 47 |