Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
258 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 258 conjugacy classes of subgroups — too many to draw. Only its 71 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 |
|---|---|---|
| 1. #20241470 | C2 | semidirect |
| 2. C47⋊#1273 | C2 | semidirect |
| 20. C2×Q16×C47 | C8 | semidirect |
| 22. C2×D8×C47 | C8 | semidirect |
| 123. C47 | #7114 | semidirect |
| 127. C2×Q16 | C47⋊C8 | semidirect |
| 129. C2×D8 | C47⋊C8 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20241470 | 2 |
| C47⋊#1273 | 2 |
| C47×#1974 | 2 |
| #7114 | 47 |