Finite Group DatabasebetaFinite Group Databasebeta| order | 1152 |
| isoclinism | isoclinic class of D3×A4 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C3×C8 · Schur multiplier (H2) = C24 |
| direct product | C2×D3×C8×A4 |
| unambiguous semidirect product | (C23×D3×C8)⋊C3 |
| Fitting | C23×C3×C8 ⋊ C2×C3 |
| derived | C22×C3 ⋊ C22×C3×C8 |
934 conjugacy classes of subgroups; only the 147 normal subgroups are shown.
This group has 934 conjugacy classes of subgroups — too many to draw. Only its 147 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 144 |
192 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1152, 157309);