Finite Group Databasebeta

← Group #352571

Character table — Group #352571

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11111111222222224444444444888888888888888888888888161616161616161632323232
order12222222444444444488888888444444444444888888888888888888884444
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111-1-1-1-111-1-11-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111-1-1-1-111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111-11111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1
χ611111111111111111111111111-11111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111
χ711111111111111111111111111-1-1-1-1-1-1-111-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111
χ811111111111111111111111111-1-1-1-1-1-1-111-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ9111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11-11-1
χ10111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-11-11
χ11111111111111111111-1-1-1-1-1-1-1-11-1-1-1-111-1-11-1-1-1-1-1-11111111111-1-111-1-1-11-11
χ12111111111111111111-1-1-1-1-1-1-1-11-1-1-1-111-1-11-1-1-1-1-1-111111111-1-111-1-1111-11-1
χ13111111111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1111-1-11
χ14111111111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-111-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11111111111-1-1-1-111-1-1-1-111-111-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11111111111-1-1-1-1-1-11111-1-11-1-11
χ1722222222222-2-2-2-22-2-200000000222-2-2-2-2222-2-2000000000000000000000000
χ1822222222222-2-2-2-22-2-2000000002-2-222-2-2-2-2222000000000000000000000000
χ1922222222222-2-2-2-22-2-200000000-222-2-222-2-2-222000000000000000000000000
χ2022222222222-2-2-2-22-2-200000000-2-2-2222222-2-2-2000000000000000000000000
χ2122222222-2-2-22222-2-2-22222-2-2-2-2200002-200-20022-2-200000000000000000000
χ2222222222-2-2-22222-2-2-22222-2-2-2-2-20000-2200200-2-22200000000000000000000
χ2322222222-2-2-22222-2-2-2-2-2-2-22222200002-200-200-2-22200000000000000000000
χ2422222222-2-2-22222-2-2-2-2-2-2-22222-20000-220020022-2-200000000000000000000
χ2522222222-2-2-2-2-2-2-2-2220000000020000-2200-20000002i2i−2i−2i2i2i−2i−2i000000000000
χ2622222222-2-2-2-2-2-2-2-2220000000020000-2200-2000000−2i−2i2i2i−2i−2i2i2i000000000000
χ2722222222-2-2-2-2-2-2-2-22200000000-200002-20020000002i2i−2i−2i−2i−2i2i2i000000000000
χ2822222222-2-2-2-2-2-2-2-22200000000-200002-2002000000−2i−2i2i2i2i2i−2i−2i000000000000
χ2922-222-2-2-222-22-22-2-22-20000000002-22-200000002-22-200002-22-2000000000000
χ3022-222-2-2-222-22-22-2-22-20000000002-22-20000000-22-220000-22-22000000000000
χ3122-222-2-2-222-22-22-2-22-2000000000-22-2200000002-22-20000-22-22000000000000
χ3222-222-2-2-222-22-22-2-22-2000000000-22-220000000-22-2200002-22-2000000000000
χ3322-222-2-2-222-2-22-22-2-2222-2-222-2-202-2-22000000000002-22-20000000000000000
χ3422-222-2-2-222-2-22-22-2-2222-2-222-2-20-222-200000000000-22-220000000000000000
χ3522-222-2-2-222-2-22-22-2-22-2-222-2-22202-2-2200000000000-22-220000000000000000
χ3622-222-2-2-222-2-22-22-2-22-2-222-2-2220-222-2000000000002-22-20000000000000000
χ3722-222-2-2-2-2-222-22-22-220000000000000002i−2i02i−2i2-2-222i−2i−2i2i0000000000000000
χ3822-222-2-2-2-2-222-22-22-220000000000000002i−2i02i−2i-222-2−2i2i2i−2i0000000000000000
χ3922-222-2-2-2-2-222-22-22-22000000000000000−2i2i0−2i2i2-2-22−2i2i2i−2i0000000000000000
χ4022-222-2-2-2-2-222-22-22-22000000000000000−2i2i0−2i2i-222-22i−2i−2i2i0000000000000000
χ4122-222-2-2-2-2-22-22-2222-222-2-2-2-22200000002i−2i0−2i2i00000000−2i2i2i−2i000000000000
χ4222-222-2-2-2-2-22-22-2222-222-2-2-2-2220000000−2i2i02i−2i000000002i−2i−2i2i000000000000
χ4322-222-2-2-2-2-22-22-2222-2-2-22222-2-200000002i−2i0−2i2i000000002i−2i−2i2i000000000000
χ4422-222-2-2-2-2-22-22-2222-2-2-22222-2-20000000−2i2i02i−2i00000000−2i2i2i−2i000000000000
χ45444-4-44-4-40004-4-44000000000000000000000000000000000000022−2200000000
χ46444-4-44-4-40004-4-440000000000000000000000000000000000000−222200000000
χ47444-4-44-4-4000-444-40000000000000000000000000000000000000000022−220000
χ48444-4-44-4-4000-444-400000000000000000000000000000000000000000−22220000
χ4944-4-4-4-44400044-4-40000000000000000000000000000000000000002i2−2i2000000
χ5044-4-4-4-44400044-4-4000000000000000000000000000000000000000−2i22i2000000
χ5144-4-4-4-444000-4-4440000000000000000000000000000000000022−220000000000
χ5244-4-4-4-444000-4-44400000000000000000000000000000000000−22220000000000
χ534-444-4-4-444-440000-40022−2222−2222−2222−22000000000000000000000000000000000000
χ544-444-4-4-444-440000-400−2222−2222−2222−2222000000000000000000000000000000000000
χ554-444-4-4-44-44-4000040022−2222−22−2222−2222000000000000000000000000000000000000
χ564-444-4-4-44-44-40000400−2222−222222−2222−22000000000000000000000000000000000000
χ574-4-44-444-44-4-4000040022−22−222222−22−2222000000000000000000000000000000000000
χ584-4-44-444-44-4-40000400−222222−22−222222−22000000000000000000000000000000000000
χ594-4-44-444-4-4440000-40022−22−2222−222222−22000000000000000000000000000000000000
χ604-4-44-444-4-4440000-400−222222−2222−22−2222000000000000000000000000000000000000
χ618-88-88-88-8000000000000000000000000000000000000000000000000000000
χ628-8-8-888-88000000000000000000000000000000000000000000000000000000

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