Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
484 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 105 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. C4×#13094046 | C2 | semidirect |
| 3. #20245125 | C2 | semidirect |
| 4. #20245117 | C2 | semidirect |
| 5. #20244276 | C2 | semidirect |
| 6. #20241503 | C2 | semidirect |
| 7. C47×#1376 | C2 | semidirect |
| 12. #15689566 | C4 | semidirect |
| 14. #15689561 | C4 | semidirect |
| 39. C2×Dic188 | C2×C4 | semidirect |
| 43. C2×D376 | C2×C4 | semidirect |
| 71. M32×C47 | C2×C4 | semidirect |
| 192. #1376 | D47 | semidirect |
| 220. C47 | #13027 | semidirect |
| 254. M32 | C4×D47 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20256524 | 2 |
| C4×#13094046 | 2 |
| #20245125 | 2 |
| #20245117 | 2 |
| #20244276 | 2 |
| #20241503 | 2 |
| C47×#1376 | 2 |
| #13027 | 47 |