Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
346 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 346 conjugacy classes of subgroups — too many to draw. Only its 83 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 |
|---|---|---|
| 9. #15689527 | C4 | semidirect |
| 10. #15689501 | C4 | semidirect |
| 14. Q16×Dic47 | C4 | semidirect |
| 15. #15689217 | C4 | semidirect |
| 183. C47 | #11745 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20253969 | 2 |
| #20245188 | 2 |
| #20243276 | 2 |
| #20241401 | 2 |
| #20241400 | 2 |
| #20241399 | 2 |
| C47×#1348 | 2 |
| #11745 | 47 |