Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
316 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 316 conjugacy classes of subgroups — too many to draw. Only its 89 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. #20245153 | C2 | semidirect |
| 5. #20244179 | C2 | semidirect |
| 6. #20241491 | C2 | semidirect |
| 7. C47×#2161 | C2 | semidirect |
| 126. #2161 | D47 | semidirect |
| 153. C47 | #13472 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20245153 | 2 |
| C2×#15688937 | 2 |
| C2×#15688935 | 2 |
| #20244296 | 2 |
| #20244179 | 2 |
| #20241491 | 2 |
| C47×#2161 | 2 |
| #13472 | 47 |