Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
464 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 464 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 |
|---|---|---|
| 1. #20248613 | C2 | semidirect |
| 5. #20241266 | C2 | semidirect |
| 6. #20241234 | C2 | semidirect |
| 7. C47×#1289 | C2 | semidirect |
| 218. #1289 | D47 | semidirect |
| 249. C47 | #10376 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20248613 | 2 |
| #20244223 | 2 |
| #20241955 | 2 |
| C2×#15688858 | 2 |
| #20241266 | 2 |
| #20241234 | 2 |
| C47×#1289 | 2 |
| #10376 | 47 |