Finite Group DatabasebetaFinite Group Databasebeta| order | 6592 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#15692967 |
| Sylow | C103 ⋊ C2×Q32 |
82 conjugacy classes of subgroups.
736 conjugacy classes — view the full character table.
| maximal subgroup of | #27197000, C4×#15692967, #27197012, … |
| maximal normal subgroup of | #27197000, C4×#15692967, #27197012, … |
| maximal quotient of | C2×#20267594, C2×#20267595, C2×#20267616, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6592, 976);