Finite Group DatabasebetaFinite Group Databasebeta| order | 1152 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C3×C4 · Schur multiplier (H2) = C24 |
| direct product | C4×A4×#67 |
| unambiguous semidirect product | (C22×C4×#67)⋊C3 |
| Fitting | C24×C3×C4 ⋊ C2×C3 |
1210 conjugacy classes of subgroups.
| transitive degree | μt(G) = 144 |
144 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1152, 157359);