Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
454 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 454 conjugacy classes of subgroups — too many to draw. Only its 113 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 |
|---|---|---|
| 9. #15689502 | C4 | semidirect |
| 10. #15689473 | C4 | semidirect |
| 105. C4×Dic47 | Q16 | semidirect |
| 192. C47 | #9297 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20254336 | 2 |
| #20246137 | 2 |
| #20244368 | 2 |
| #20241953 | 2 |
| #20241248 | 2 |
| #20241216 | 2 |
| C47×#1548 | 2 |
| #9297 | 47 |