Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
644 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 644 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. #20243324 | C2 | semidirect |
| 4. #20243311 | C2 | semidirect |
| 6. #20241295 | C2 | semidirect |
| 7. C47×#1293 | C2 | semidirect |
| 12. #15689281 | C4 | semidirect |
| 14. #15689264 | C4 | semidirect |
| 249. #1293 | D47 | semidirect |
| 283. C47 | #9519 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20252625 | 2 |
| #20252433 | 2 |
| #20243324 | 2 |
| #20243311 | 2 |
| #20241932 | 2 |
| #20241295 | 2 |
| C47×#1293 | 2 |
| #9519 | 47 |