Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
282 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 282 conjugacy classes of subgroups — too many to draw. Only its 105 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 |
|---|---|---|
| 13. #15688950 | C4 | semidirect |
| 14. #15688948 | C4 | semidirect |
| 78. C47⋊C16 | C4⋊C4 | semidirect |
| 145. C47 | #13174 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20245177 | 2 |
| C2×#15688947 | 2 |
| C2×#15688901 | 2 |
| #20244126 | 2 |
| #20241498 | 2 |
| #20241493 | 2 |
| C47×#1946 | 2 |
| #13174 | 47 |