Finite Group DatabasebetaFinite Group Databasebeta| order | 6592 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | Q32×D103 |
| Fitting | Q32×C103 ⋊ C2 |
| Sylow | C103 ⋊ C2×Q32 |
82 conjugacy classes of subgroups.
583 conjugacy classes — view the full character table.
| maximal subgroup of | SD64×D103, Q64×D103, #27197460, … |
| maximal normal subgroup of | SD64×D103, Q64×D103, #27197460, … |
| maximal quotient of | #358×D103, #366×D103, #27197000, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6592, 975);