Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
262 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 262 conjugacy classes of subgroups — too many to draw. Only its 105 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 |
|---|---|---|
| 16. #15688952 | C4 | semidirect |
| 132. C47 | #13173 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15688952 | 2 |
| #20244987 | 2 |
| #20244179 | 2 |
| #20244176 | 2 |
| #20241500 | 2 |
| C47×#1388 | 2 |
| #13173 | 47 |