Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
236 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 236 conjugacy classes of subgroups — too many to draw. Only its 71 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 |
|---|---|---|
| 133. C47 | #10648 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20242159 | 2 |
| #20242118 | 2 |
| #20242088 | 2 |
| #20241298 | 2 |
| #20241257 | 2 |
| #20241250 | 2 |
| C47×#1497 | 2 |
| #10648 | 47 |