Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
930 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 930 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. #20254146 | C2 | semidirect |
| 3. #20247035 | C2 | semidirect |
| 4. #20244223 | C2 | semidirect |
| 5. #20241959 | C2 | semidirect |
| 6. #20241235 | C2 | semidirect |
| 7. C47×#1786 | C2 | semidirect |
| 248. #1786 | D47 | semidirect |
| 283. C47 | #9947 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20254146 | 2 |
| C2×#15689257 | 2 |
| #20247035 | 2 |
| #20244223 | 2 |
| #20241959 | 2 |
| #20241235 | 2 |
| C47×#1786 | 2 |
| #9947 | 47 |