Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
338 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 338 conjugacy classes of subgroups — too many to draw. Only its 109 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 |
|---|---|---|
| 21. C47×#333 | C4 | semidirect |
| 22. C47×#332 | C4 | semidirect |
| 158. #333 | Dic47 | semidirect |
| 159. #332 | Dic47 | semidirect |
| 161. C47 | #9579 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20244366 | 2 |
| C4⋊C8×Dic47 | 2 |
| #20242159 | 2 |
| #20241791 | 2 |
| #20241285 | 2 |
| #20241220 | 2 |
| C47×#1542 | 2 |
| #9579 | 47 |