Finite Group DatabasebetaFinite Group Databasebeta| order | 1152 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C3 · Schur multiplier (H2) = C26 |
| direct product | C2×A4×#237 |
| unambiguous semidirect product | (C23×#237)⋊C3 |
| Fitting | C23×C3×D4 ⋊ C2×C3 |
2774 conjugacy classes of subgroups.
| transitive degree | μt(G) = 144 |
120 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1152, 157806);