Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
262 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 262 conjugacy classes of subgroups — too many to draw. Only its 97 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 |
|---|---|---|
| 14. #15688950 | C4 | semidirect |
| 15. #15688950 | C4 | semidirect |
| 16. #15688948 | C4 | semidirect |
| 17. #15688948 | C4 | semidirect |
| 148. C47 | #13113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20245170 | 2 |
| #20244134 | 2 |
| #20243269 | 2 |
| #20241484 | 2 |
| #20241481 | 2 |
| #20241465 | 2 |
| C47×#1382 | 2 |
| #13113 | 47 |