Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
438 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 438 conjugacy classes of subgroups — too many to draw. Only its 81 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 |
|---|---|---|
| 232. C47 | #10563 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20243857 | 2 |
| #20243822 | 2 |
| #20243592 | 2 |
| #20241960 | 2 |
| #20241752 | 2 |
| #20241293 | 2 |
| C47×#3195 | 2 |
| #10563 | 47 |