Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
518 conjugacy classes of subgroups; only the 291 normal subgroups are shown.
This group has 518 conjugacy classes of subgroups — too many to draw. Only its 291 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 |
|---|---|---|
| 11. #15688844 | C4 | semidirect |
| 12. C8×C47⋊C8 | C4 | semidirect |
| 15. C47×#322 | C4 | semidirect |
| 85. #322 | Dic47 | semidirect |
| 87. C47 | #7844 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20243133 | 2 |
| C4×#13093934 | 2 |
| C2×#15688844 | 2 |
| C2×C8×C47⋊C8 | 2 |
| C2×C47×#322 | 2 |
| #7844 | 47 |