Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
442 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 442 conjugacy classes of subgroups — too many to draw. Only its 91 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. #20245138 | C2 | semidirect |
| 3. #20245137 | C2 | semidirect |
| 4. #20245123 | C2 | semidirect |
| 5. #20244142 | C2 | semidirect |
| 6. #20241467 | C2 | semidirect |
| 7. C47×#2145 | C2 | semidirect |
| 74. #106×C47 | D4 | semidirect |
| 190. #2145 | D47 | semidirect |
| 220. C47 | #13416 | semidirect |
| 263. #106 | C22⋊D47 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20253831 | 2 |
| #20245138 | 2 |
| #20245137 | 2 |
| #20245123 | 2 |
| #20244142 | 2 |
| #20241467 | 2 |
| C47×#2145 | 2 |
| #13416 | 47 |