Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
386 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 79 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. #20242086 | C2 | semidirect |
| 4. #20241899 | C2 | semidirect |
| 6. #20241258 | C2 | semidirect |
| 7. C47×#1843 | C2 | semidirect |
| 154. #1843 | D47 | semidirect |
| 184. C47 | #10514 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20254705 | 2 |
| #20242086 | 2 |
| #20242081 | 2 |
| #20241899 | 2 |
| #20241895 | 2 |
| #20241258 | 2 |
| C47×#1843 | 2 |
| #10514 | 47 |