Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
494 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 494 conjugacy classes of subgroups — too many to draw. Only its 149 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 |
|---|---|---|
| 3. #20243548 | C2 | semidirect |
| 4. #20243516 | C2 | semidirect |
| 5. C47×#1273 | C2 | semidirect |
| 107. #1273 | D47 | semidirect |
| 123. C47 | #10671 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20244194 | 2 |
| #20243548 | 2 |
| #20243516 | 2 |
| C47×#1273 | 2 |
| #10671 | 47 |