Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
178 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 178 conjugacy classes of subgroups — too many to draw. Only its 95 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. #15688951 | C4 | semidirect |
| 9. #15688949 | C4 | semidirect |
| 12. C47×M64 | C4 | semidirect |
| 81. M64 | Dic47 | semidirect |
| 87. C47 | #7477 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20245172 | 2 |
| C2×#15688951 | 2 |
| C2×C47×M64 | 2 |
| #7477 | 47 |