Finite Group DatabasebetaFinite Group Databasebeta| order | 6592 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#15692939 |
| Sylow | C103 ⋊ C2×#101 |
146 conjugacy classes of subgroups.
1042 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #27194939, C4×#15692939, #27195066, … |
| maximal normal subgroup of | #27194939, C4×#15692939, #27195066, … |
| maximal quotient of | C2×#20267516, #27193467, #27193473, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6592, 528);