Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
462 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 462 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. #20245117 | C2 | semidirect |
| 4. #20244284 | C2 | semidirect |
| 5. #20241483 | C2 | semidirect |
| 6. #20241478 | C2 | semidirect |
| 7. C47×#2145 | C2 | semidirect |
| 12. C2×#13093970 | C4 | semidirect |
| 13. C2×#13093968 | C4 | semidirect |
| 14. C2×#13093967 | C4 | semidirect |
| 15. C2×#13093965 | C4 | semidirect |
| 179. #2145 | D47 | semidirect |
| 211. C47 | #13016 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15689553 | 2 |
| #20252305 | 2 |
| #20245117 | 2 |
| #20244284 | 2 |
| #20241483 | 2 |
| #20241478 | 2 |
| C47×#2145 | 2 |
| #13016 | 47 |