Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
414 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 414 conjugacy classes of subgroups — too many to draw. Only its 115 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. C2×#15688943 | C2 | semidirect |
| 5. #20243551 | C2 | semidirect |
| 6. #20241498 | C2 | semidirect |
| 7. C47×#1387 | C2 | semidirect |
| 12. #15689239 | C4 | semidirect |
| 157. #1387 | D47 | semidirect |
| 182. C47 | #12820 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15689239 | 2 |
| C2×#15688943 | 2 |
| #20245101 | 2 |
| #20245098 | 2 |
| #20243551 | 2 |
| #20241498 | 2 |
| C47×#1387 | 2 |
| #12820 | 47 |