Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
476 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 476 conjugacy classes of subgroups — too many to draw. Only its 109 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. #20252305 | C2 | semidirect |
| 3. C2×#15688937 | C2 | semidirect |
| 4. #20244296 | C2 | semidirect |
| 5. #20241491 | C2 | semidirect |
| 6. #20241475 | C2 | semidirect |
| 7. C47×#2143 | C2 | semidirect |
| 12. C2×#13093967 | C4 | semidirect |
| 13. C2×#13093965 | C4 | semidirect |
| 168. #2143 | D47 | semidirect |
| 197. C47 | #13036 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15689558 | 2 |
| #20252305 | 2 |
| C2×#15688937 | 2 |
| #20244296 | 2 |
| #20241491 | 2 |
| #20241475 | 2 |
| C47×#2143 | 2 |
| #13036 | 47 |