Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
1188 conjugacy classes of subgroups; only the 271 normal subgroups are shown.
This group has 1188 conjugacy classes of subgroups — too many to draw. Only its 271 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. #20251852 | C2 | semidirect |
| 3. #20245062 | C2 | semidirect |
| 4. #20245051 | C2 | semidirect |
| 5. C47×#2884 | C2 | semidirect |
| 6. C2×#13094071 | C4 | semidirect |
| 11. #15689697 | C4 | semidirect |
| 14. C2×#13094022 | C4 | semidirect |
| 16. #41×Dic47 | C4 | semidirect |
| 176. #2884 | D47 | semidirect |
| 204. C47 | #33360 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20257169 | 2 |
| #20251852 | 2 |
| #20245062 | 2 |
| #20245051 | 2 |
| C47×#2884 | 2 |
| #33360 | 47 |