Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
174 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 174 conjugacy classes of subgroups — too many to draw. Only its 95 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 |
|---|---|---|
| 6. #15688957 | C4 | semidirect |
| 9. #15688953 | C4 | semidirect |
| 88. C47 | #7478 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15688957 | 2 |
| C2×#15688953 | 2 |
| C2×C47×#366 | 2 |
| #7478 | 47 |