Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
638 conjugacy classes of subgroups; only the 153 normal subgroups are shown.
This group has 638 conjugacy classes of subgroups — too many to draw. Only its 153 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. #20244191 | C2 | semidirect |
| 4. C47⋊#1273 | C2 | semidirect |
| 5. C2×C47×#498 | C2 | semidirect |
| 118. C2×#498 | D47 | semidirect |
| 141. C47 | #10312 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15689471 | 2 |
| #20244194 | 2 |
| #20244191 | 2 |
| C47⋊#1273 | 2 |
| C2×C47×#498 | 2 |
| #10312 | 47 |