Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
234 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 234 conjugacy classes of subgroups — too many to draw. Only its 91 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 |
|---|---|---|
| 5. C4⋊(C47⋊C16) | C4 | semidirect |
| 8. #15688876 | C4 | semidirect |
| 97. C47 | #7299 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20245187 | 2 |
| #20242151 | 2 |
| C4×#106×C47 | 2 |
| #7299 | 47 |