Finite Group Databasebeta

← Group #256283

Character table — Group #256283

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11111111222222224444448888888888888888888888161616161616161616161616161616161616
order12222222444444442244444444444444444488888888224444444488888888
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1111-1-1-1-11-1-1111111111-1-1-11-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111-1-1111-1-1-1-11-1-1-1-1-1-1-1-1-1-11-1-1-11-11111-1-1-1-11111
χ51111111111111111111111-1-111-1-11-1-1-1-111111111111-11-1-1-11-1-1-1-1-1-1-1-11111
χ61111111111111111111111-1-111-1-11-1-1-1-1111-1-1-1-1-1-1-1-1-11-1-1-1111111111-1-1-1-1
χ71111111111111111111111-1-1-1-1-1-1111111-1-111111111-1-111-1-11111-1-1-1-1-1-1-1-1
χ81111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111
χ91111111111111111-1-1-1-1111111-1-1-11111-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1
χ101111111111111111-1-1-1-1111111-1-1-11111-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-111
χ111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-11111-1-1-11111-1-1-1-111
χ121111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-11111-111-1-1-1-11111-1-1
χ131111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11-111-11-1-111-1-11111-1-1
χ141111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-111-1111-1-111-1-1-1-111
χ151111111111111111-1-1-1-111-1-1-1-111-11111-1111111-1-1-1-111-1-1-1-111-1-1-1-111-1-111
χ161111111111111111-1-1-1-111-1-1-1-111-11111-111-1-1-1-1111111-1-1-1-1-1-11111-1-111-1-1
χ172222222222-2-222-2-22222-2-2002200-20000-222000000000-2000-2000000000000
χ182222222222-2-222-2-22222-2-200-2-200-20000-2-2-200000000020002000000000000
χ192222222222-2-222-2-2-2-2-2-2-2-2002200200002-2-20000000002000-2000000000000
χ202222222222-2-222-2-2-2-2-2-2-2-200-2-20020000222000000000-20002000000000000
χ2122222222-2-222-2-22222-2-2-2-22200-2-2-20000200000000002000-20000000000000
χ2222222222-2-222-2-22222-2-2-2-2-2-20022-2000020000000000-200020000000000000
χ2322222222-2-222-2-222-2-222-2-222002220000-20000000000-2000-20000000000000
χ2422222222-2-222-2-222-2-222-2-2-2-200-2-220000-20000000000200020000000000000
χ2522222222-2-2-2-2-2-2-2-222-2-222000000222-2-2-20000000000002-200000000000000
χ2622222222-2-2-2-2-2-2-2-222-2-2220000002-2-222-2000000000000-2200000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-22222000000-222-2-22000000000000-2200000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-22222000000-2-2-22220000000000002-200000000000000
χ292-22-22-2-222200-2-2002-22-200002i−2i000000002i−2ii2i2−i2−i2i2i2−i2−i2000000000000002−22−2
χ302-22-22-2-222200-2-2002-22-200002i−2i000000002i−2i−i2−i2i2i2−i2−i2i2i200000000000000−22−22
χ312-22-22-2-222200-2-2002-22-20000−2i2i00000000−2i2ii2i2−i2−i2i2i2−i2−i200000000000000−22−22
χ322-22-22-2-222200-2-2002-22-20000−2i2i00000000−2i2i−i2−i2i2i2−i2−i2i2i2000000000000002−22−2
χ332-22-22-2-222200-2-200-22-2200002i−2i00000000−2i2ii2i2−i2−i2−i2−i2i2i2000000000000002−2−22
χ342-22-22-2-222200-2-200-22-2200002i−2i00000000−2i2i−i2−i2i2i2i2i2−i2−i200000000000000−222−2
χ352-22-22-2-222200-2-200-22-220000−2i2i000000002i−2ii2i2−i2−i2−i2−i2i2i200000000000000−222−2
χ362-22-22-2-222200-2-200-22-220000−2i2i000000002i−2i−i2−i2i2i2i2i2−i2−i2000000000000002−2−22
χ372-2-2-2222-22-22-22-22-200002-200000002-22-200000002i−2i2i−2i000000002i−2i00000000
χ382-2-2-2222-22-22-22-22-200002-200000002-22-20000000−2i2i−2i2i00000000−2i2i00000000
χ392-2-2-2222-22-22-22-22-200002-20000000-22-2200000002i−2i2i−2i00000000−2i2i00000000
χ402-2-2-2222-22-22-22-22-200002-20000000-22-220000000−2i2i−2i2i000000002i−2i00000000
χ412-2-2-2222-2-22-22-22-2200002-200000002-2-220002i−2i2i−2i00000000002i−2i0000000000
χ422-2-2-2222-2-22-22-22-2200002-200000002-2-22000−2i2i−2i2i0000000000−2i2i0000000000
χ432-2-2-2222-2-22-22-22-2200002-20000000-222-20002i−2i2i−2i0000000000−2i2i0000000000
χ442-2-2-2222-2-22-22-22-2200002-20000000-222-2000−2i2i−2i2i00000000002i−2i0000000000
χ45444-4-4-44-4004400-4-40000004-400000000000000000000000000000000000000
χ46444-4-4-44-4004400-4-4000000-4400000000000000000000000000000000000000
χ47444-4-4-44-400-4-4004400000000004i−4i0000000000000000000000000000000000
χ48444-4-4-44-400-4-400440000000000−4i4i0000000000000000000000000000000000
χ4944-444-4-4-44-400-440000000000000000000000000022−22−2222000000000000000000
χ5044-444-4-4-44-400-4400000000000000000000000000−222222−22000000000000000000
χ5144-444-4-4-4-44004-4000000000000000000000022−22−22220000000000000000000000
χ5244-444-4-4-4-44004-40000000000000000000000−222222−220000000000000000000000
χ534-44-44-4-44-4-40044004-4-44000000000000000000000000000000000000000000
χ544-44-44-4-44-4-4004400-444-4000000000000000000000000000000000000000000
χ554-4-44-4-444004-400-44000000000000000000000000000000000000000022−220000
χ564-4-44-4-444004-400-440000000000000000000000000000000000000000−22220000
χ574-4-44-4-44400-44004-40000000000000000000000000000000000000022−22000000
χ584-4-44-4-44400-44004-400000000000000000000000000000000000000−2222000000
χ594-4-4-4444-44-4-444-4-440000-440000000000000000000000000000000000000000
χ604-4-4-4444-4-444-4-444-40000-440000000000000000000000000000000000000000
χ6188-8-8-88-88000000000000000000000000000000000000000000000000000000
χ628-888-88-8-8000000000000000000000000000000000000000000000000000000

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