Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
234 conjugacy classes of subgroups; only the 147 normal subgroups are shown.
This group has 234 conjugacy classes of subgroups — too many to draw. Only its 147 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 |
|---|---|---|
| 2. #20241454 | C2 | semidirect |
| 19. C2×C16×C47 | C8 | semidirect |
| 78. C47 | #11999 | semidirect |
| 83. C2×C16 | C47⋊C8 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20242136 | 2 |
| #20241454 | 2 |
| C2×C47×#346 | 2 |
| #11999 | 47 |