Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
246 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 246 conjugacy classes of subgroups — too many to draw. Only its 111 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 |
|---|---|---|
| 8. C4×C47⋊C16 | C4 | semidirect |
| 14. C4×C16×C47 | C4 | semidirect |
| 48. C4×Dic47 | C16 | semidirect |
| 103. C4×C16 | Dic47 | semidirect |
| 106. C47 | #7142 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20245187 | 2 |
| #20243133 | 2 |
| C47×#2162 | 2 |
| #7142 | 47 |