Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
458 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 458 conjugacy classes of subgroups — too many to draw. Only its 119 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 |
|---|---|---|
| 17. C47×#491 | C4 | semidirect |
| 127. #491 | Dic47 | semidirect |
| 138. C47 | #9004 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20246574 | 2 |
| #20244362 | 2 |
| C2×#15688865 | 2 |
| #20241270 | 2 |
| C2×C47×#491 | 2 |
| #9004 | 47 |