Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
920 conjugacy classes of subgroups; only the 175 normal subgroups are shown.
This group has 920 conjugacy classes of subgroups — too many to draw. Only its 175 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. #20253937 | C2 | semidirect |
| 5. #20244369 | C2 | semidirect |
| 6. #20244233 | C2 | semidirect |
| 7. #20243602 | C2 | semidirect |
| 9. C47×#2642 | C2 | semidirect |
| 188. #2642 | D47 | semidirect |
| 225. C47 | #25691 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20257272 | 2 |
| #20253937 | 2 |
| #20253206 | 2 |
| #20244605 | 2 |
| #20244369 | 2 |
| #20244233 | 2 |
| #20243602 | 2 |
| #20243199 | 2 |
| C47×#2642 | 2 |
| #25691 | 47 |