Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
532 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 532 conjugacy classes of subgroups — too many to draw. Only its 99 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 |
|---|---|---|
| 1. #20244374 | C2 | semidirect |
| 4. #20243812 | C2 | semidirect |
| 5. #20243565 | C2 | semidirect |
| 6. #20241256 | C2 | semidirect |
| 133. C22⋊Dic47 | SD16 | semidirect |
| 281. C47 | #10565 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20244374 | 2 |
| #20244225 | 2 |
| #20243817 | 2 |
| #20243812 | 2 |
| #20243565 | 2 |
| #20241256 | 2 |
| C47×#3187 | 2 |
| #10565 | 47 |