Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
492 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 492 conjugacy classes of subgroups — too many to draw. Only its 107 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. #20244333 | C2 | semidirect |
| 3. #20241900 | C2 | semidirect |
| 5. #20241280 | C2 | semidirect |
| 6. #20241245 | C2 | semidirect |
| 24. C47×#474 | C4 | semidirect |
| 25. C47×#461 | C4 | semidirect |
| 192. #474 | Dic47 | semidirect |
| 193. #461 | Dic47 | semidirect |
| 210. C47 | #9327 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20246031 | 2 |
| #20244333 | 2 |
| #20241900 | 2 |
| #20241831 | 2 |
| #20241280 | 2 |
| #20241245 | 2 |
| C47×#3110 | 2 |
| #9327 | 47 |