Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
334 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 334 conjugacy classes of subgroups — too many to draw. Only its 87 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 |
|---|---|---|
| 12. #15689150 | C4 | semidirect |
| 13. #15689150 | C4 | semidirect |
| 18. C4×#10625329 | C4 | semidirect |
| 19. C2×#13093935 | C4 | semidirect |
| 193. C47 | #12865 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20252039 | 2 |
| #20243492 | 2 |
| #20241518 | 2 |
| #20241516 | 2 |
| #20241510 | 2 |
| #20241508 | 2 |
| C47×#1827 | 2 |
| #12865 | 47 |