Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
336 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 336 conjugacy classes of subgroups — too many to draw. Only its 63 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 |
|---|---|---|
| 7. C2×#13093935 | C4 | semidirect |
| 8. #15688989 | C4 | semidirect |
| 10. #15688916 | C4 | semidirect |
| 14. C47×#353 | C4 | semidirect |
| 150. #353 | Dic47 | semidirect |
| 151. C47 | #7504 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15688916 | 2 |
| #20244213 | 2 |
| C2×C47×#353 | 2 |
| #7504 | 47 |