Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
248 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 248 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 |
|---|---|---|
| 138. C47 | #10689 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20244109 | 2 |
| #20243528 | 2 |
| #20241290 | 2 |
| #20241289 | 2 |
| #20241285 | 2 |
| #20241218 | 2 |
| C47×#1301 | 2 |
| #10689 | 47 |