Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
392 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 392 conjugacy classes of subgroups — too many to draw. Only its 107 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. #20241498 | C2 | semidirect |
| 5. #20241497 | C2 | semidirect |
| 6. #20241486 | C2 | semidirect |
| 7. C47×#1383 | C2 | semidirect |
| 12. #15689170 | C4 | semidirect |
| 151. #1383 | D47 | semidirect |
| 172. C47 | #12875 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15689170 | 2 |
| C2×#15688904 | 2 |
| #20243418 | 2 |
| #20241498 | 2 |
| #20241497 | 2 |
| #20241486 | 2 |
| C47×#1383 | 2 |
| #12875 | 47 |