Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
1214 conjugacy classes of subgroups; only the 187 normal subgroups are shown.
This group has 1214 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 |
|---|---|---|
| 2. #20253319 | C2 | semidirect |
| 3. #20244605 | C2 | semidirect |
| 4. #20243836 | C2 | semidirect |
| 5. #20243602 | C2 | semidirect |
| 6. #20243346 | C2 | semidirect |
| 7. #20243312 | C2 | semidirect |
| 8. C47×#2310 | C2 | semidirect |
| 201. #2310 | D47 | semidirect |
| 237. C47 | #24023 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20257039 | 2 |
| #20253319 | 2 |
| #20244605 | 2 |
| #20243836 | 2 |
| #20243602 | 2 |
| #20243346 | 2 |
| #20243312 | 2 |
| C47×#2310 | 2 |
| #24023 | 47 |