Finite Group DatabasebetaFinite Group Databasebeta| order | 6592 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C2×#15692957 |
| Sylow | C103 ⋊ C2×#108 |
106 conjugacy classes of subgroups.
1660 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #27193237, #27193238, #27193239, … |
| maximal normal subgroup of | #27193237, #27193238, #27193239, … |
| maximal quotient of | C2×#20267542, C2×#20267544, #27193892, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6592, 595);