Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
376 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 376 conjugacy classes of subgroups — too many to draw. Only its 91 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. #20245009 | C2 | semidirect |
| 3. #20241375 | C2 | semidirect |
| 4. #20241372 | C2 | semidirect |
| 5. C47×#1812 | C2 | semidirect |
| 6. C2×#13094046 | C4 | semidirect |
| 9. #15689381 | C4 | semidirect |
| 11. #15689376 | C4 | semidirect |
| 15. C2×#13093956 | C4 | semidirect |
| 168. #1812 | D47 | semidirect |
| 194. C47 | #11867 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20253050 | 2 |
| #20245009 | 2 |
| #20241375 | 2 |
| #20241372 | 2 |
| C47×#1812 | 2 |
| #11867 | 47 |