Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
352 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 352 conjugacy classes of subgroups — too many to draw. Only its 99 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. C2×#13093956 | C4 | semidirect |
| 9. #15688886 | C4 | semidirect |
| 13. C47×C22⋊C16 | C4 | semidirect |
| 125. C22⋊C16 | Dic47 | semidirect |
| 129. C47 | #7262 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20243413 | 2 |
| #20243105 | 2 |
| C47×#2112 | 2 |
| #7262 | 47 |