Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
1598 conjugacy classes of subgroups; only the 635 normal subgroups are shown.
This group has 1598 conjugacy classes of subgroups — too many to draw. Only its 635 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 |
|---|---|---|
| 6. #15688969 | C4 | semidirect |
| 12. C43×C47 | C4 | semidirect |
| 88. C43 | Dic47 | semidirect |
| 89. C47 | #13757 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15688969 | 2 |
| #20241615 | 2 |
| C4×C47⋊#95 | 2 |
| C2×C43×C47 | 2 |
| #13757 | 47 |