Finite Group DatabasebetaFinite Group Databasebeta| order | 6592 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#15692965 |
| Sylow | C103 ⋊ C2×SD32 |
90 conjugacy classes of subgroups.
736 conjugacy classes — view the full character table.
| maximal subgroup of | C4×#15692965, #27196999, #27197005, … |
| maximal normal subgroup of | C4×#15692965, #27196999, #27197005, … |
| maximal quotient of | C2×#20267592, C2×#20267594, C2×#20267618, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6592, 973);