Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
342 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 342 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. C22⋊(C47⋊C16) | C4 | semidirect |
| 13. C47×#341 | C4 | semidirect |
| 128. #341 | Dic47 | semidirect |
| 130. C47 | #7259 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C22⋊(C47⋊C16) | 2 |
| #20243417 | 2 |
| C2×C47×#341 | 2 |
| #7259 | 47 |