Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
684 conjugacy classes of subgroups; only the 171 normal subgroups are shown.
This group has 684 conjugacy classes of subgroups — too many to draw. Only its 171 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. #20243067 | C2 | semidirect |
| 5. #20243031 | C2 | semidirect |
| 6. #20243023 | C2 | semidirect |
| 7. #20242984 | C2 | semidirect |
| 189. C47 | #19751 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20254133 | 2 |
| #20254129 | 2 |
| #20253930 | 2 |
| #20243067 | 2 |
| #20243031 | 2 |
| #20243023 | 2 |
| #20242984 | 2 |
| #20241691 | 2 |
| C47×#3139 | 2 |
| #19751 | 47 |