Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
858 conjugacy classes of subgroups; only the 335 normal subgroups are shown.
This group has 858 conjugacy classes of subgroups — too many to draw. Only its 335 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 |
|---|---|---|
| 9. C47⋊#338 | C4 | semidirect |
| 11. C47×#338 | C4 | semidirect |
| 84. Dic47 | #338 | direct (N × H) |
| 99. #338 | Dic47 | direct (N × H) |
| 100. C47 | C4×#338 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×M16×Dic47 | 2 |
| C2×C47⋊#338 | 2 |
| C2×C47×#338 | 2 |
| C4×#338 | 47 |