Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
922 conjugacy classes of subgroups; only the 187 normal subgroups are shown.
This group has 922 conjugacy classes of subgroups — too many to draw. Only its 187 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. #20253966 | C2 | semidirect |
| 2. #20253817 | C2 | semidirect |
| 3. #20253815 | C2 | semidirect |
| 4. #20243004 | C2 | semidirect |
| 5. #20243002 | C2 | semidirect |
| 6. #20242994 | C2 | semidirect |
| 7. #20242979 | C2 | semidirect |
| 8. C82×D47 | C2 | semidirect |
| 9. C47×#1709 | C2 | semidirect |
| 99. C8×D47 | D8 | semidirect |
| 124. C47⋊C8 | #135 | semidirect |
| 145. #1709 | D47 | semidirect |
| 176. C47 | #19603 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20253966 | 2 |
| #20253817 | 2 |
| #20253815 | 2 |
| #20243004 | 2 |
| #20243002 | 2 |
| #20242994 | 2 |
| #20242979 | 2 |
| C82×D47 | 2 |
| C47×#1709 | 2 |
| #19603 | 47 |