Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
334 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 334 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. #20244987 | C2 | semidirect |
| 4. #20244174 | C2 | semidirect |
| 5. #20241497 | C2 | semidirect |
| 6. #20241481 | C2 | semidirect |
| 23. C47×#361 | C4 | semidirect |
| 162. #361 | Dic47 | semidirect |
| 168. C47 | #13144 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15688924 | 2 |
| #20244987 | 2 |
| #20244299 | 2 |
| #20244174 | 2 |
| #20241497 | 2 |
| #20241481 | 2 |
| C2×C47×#361 | 2 |
| #13144 | 47 |