Finite Group DatabasebetaFinite Group Databasebeta| order | 6592 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | Q16×Dic103 |
| Sylow | C103 ⋊ C4×Q16 |
110 conjugacy classes of subgroups.
742 conjugacy classes — view the full character table.
| maximal subgroup of | #27196993, SD32×Dic103, #27197000, … |
| maximal normal subgroup of | #27196993, SD32×Dic103, #27197000, … |
| maximal quotient of | Q16×C103⋊C8, #27193995, #27194041, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6592, 644);