Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
1190 conjugacy classes of subgroups; only the 271 normal subgroups are shown.
This group has 1190 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. #20251871 | C2 | semidirect |
| 3. #20245041 | C2 | semidirect |
| 4. #20245027 | C2 | semidirect |
| 5. C47×#2884 | C2 | semidirect |
| 6. C22×Q8×D47 | C4 | semidirect |
| 12. #15689694 | C4 | semidirect |
| 14. #15689630 | C4 | semidirect |
| 16. #15689601 | C4 | semidirect |
| 177. #2884 | D47 | semidirect |
| 205. C47 | #33349 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20257036 | 2 |
| #20251871 | 2 |
| #20245041 | 2 |
| #20245027 | 2 |
| C47×#2884 | 2 |
| #33349 | 47 |