Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
1290 conjugacy classes of subgroups; only the 327 normal subgroups are shown.
This group has 1290 conjugacy classes of subgroups — too many to draw. Only its 327 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 |
|---|---|---|
| 1. #20241650 | C2 | semidirect |
| 4. #20241620 | C2 | semidirect |
| 15. C47×#399 | C4 | semidirect |
| 140. #399 | Dic47 | semidirect |
| 146. C47 | #14618 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20241650 | 2 |
| #20241637 | 2 |
| #20241625 | 2 |
| #20241620 | 2 |
| C2×C47×#399 | 2 |
| #14618 | 47 |