Finite Group Databasebeta

← Group #126273

Character table — Group #126273

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111111122228888888888888888881616161616161616161616161616161616163232
order12222222222244444444444444444422444488888888888844
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-11111111111-1-1-1-1-1-1
χ41111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-1111111
χ511111111111111-1-1-1-111111-1-1-1-111111-1-1-1-11111-1-1-1-11111-1-1
χ611111111111111-1-1-1-111111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-111
χ711111111111111-1-1-1-11-1-1-1-11111111-1-111-1-11111-1-1-1-1-1-1-1-111
χ811111111111111-1-1-1-11-1-1-1-11111111-1-111-1-1-1-1-1-111111111-1-1
χ92222222222222-20000-2222200002-2-2-2-2000000000000000000
χ102222222222222-20000-2-2-2-2-200002-2-222000000000000000000
χ11222222222222-222222-200000000-22-20000-2-200000000000000
χ12222222222222-22-2-2-2-2-200000000-22-200002200000000000000
χ13222222222222-2-20000200002222-2-2200-2-20000000000000000
χ14222222222222-2-2000020000-2-2-2-2-2-2200220000000000000000
χ152222-2-2-2-2-222-20-22i2i−2i−2i00000000002000000022−2−2i2i2−i2−i2000000
χ162222-2-2-2-2-222-20-22i2i−2i−2i000000000020000000−2−222−i2−i2i2i2000000
χ172222-2-2-2-2-222-20-2−2i−2i2i2i00000000002000000022−2−2−i2−i2i2i2000000
χ182222-2-2-2-2-222-20-2−2i−2i2i2i000000000020000000−2−222i2i2−i2−i2000000
χ1922-2-222-2-222-2-2-20000002i2i−2i−2i00002000000002−22−20000i2i2−i2−i200
χ2022-2-222-2-222-2-2-20000002i2i−2i−2i0000200000000−22−220000−i2−i2i2i200
χ2122-2-222-2-222-2-2-2000000−2i−2i2i2i00002000000002−22−20000−i2−i2i2i200
χ2222-2-222-2-222-2-2-2000000−2i−2i2i2i0000200000000−22−220000i2i2−i2−i200
χ2322-2-2-2-2222-22-2000000200002i2i−2i−2i00-200000000002−22−2i2−i2i2−i200
χ2422-2-2-2-2222-22-2000000200002i2i−2i−2i00-20000000000−22−22−i2i2−i2i200
χ2522-2-2-2-2222-22-200000020000−2i−2i2i2i00-200000000002−22−2−i2i2−i2i200
χ2622-2-2-2-2222-22-200000020000−2i−2i2i2i00-20000000000−22−22i2−i2i2−i200
χ2744444444-4-4-4-40000000000000000000000000000000000002-2
χ2844444444-4-4-4-4000000000000000000000000000000000000-22
χ294444-4-4-4-44-4-44000000000000000000000000000000002-2-2200
χ304444-4-4-4-44-4-4400000000000000000000000000000000-222-200
χ314444-4-4-4-4-444-40400000000000000-4000000000000000000000
χ3244-4-444-4-444-4-4400000000000000-40000000000000000000000
χ3344-4-444-4-4-4-44400000000000000000000000000002i−2i−2i2i000000
χ3444-4-444-4-4-4-4440000000000000000000000000000−2i2i2i−2i000000
χ3544-4-4-4-4444-44-4000000-40000000000400000000000000000000
χ3644-4-4-4-444-44-440000000000000000000000002-2-220000000000
χ3744-4-4-4-444-44-44000000000000000000000000-222-20000000000
χ384-44-4-444-4000000000002i−2i2i−2i2-22-200000002i−2i00000000000000
χ394-44-4-444-4000000000002i−2i2i−2i-22-220000000−2i2i00000000000000
χ404-44-4-444-400000000000−2i2i−2i2i2-22-20000000−2i2i00000000000000
χ414-44-4-444-400000000000−2i2i−2i2i-22-2200000002i−2i00000000000000
χ424-4-444-44-40000002i−2i2i−2i000002i−2i−2i2i0002-2000000000000000000
χ434-4-444-44-40000002i−2i2i−2i00000−2i2i2i−2i000-22000000000000000000
χ444-4-444-44-4000000−2i2i−2i2i000002i−2i−2i2i000-22000000000000000000
χ454-4-444-44-4000000−2i2i−2i2i00000−2i2i2i−2i0002-2000000000000000000
χ464-4-44-44-440000002-2-2202-2-220000000002-20000000000000000
χ474-4-44-44-440000002-2-220-222-2000000000-220000000000000000
χ484-4-44-44-44000000-222-202-2-22000000000-220000000000000000
χ494-4-44-44-44000000-222-20-222-20000000002-20000000000000000
χ508-88-88-8-88000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).