Finite Group Databasebeta

← Group #337802

Character table — Group #337802

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444488888888888888888888888888881616161616161616323232
order12222222444444444488888888224444444444888888888888888844448888444
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-1111111-1-1-1-11111111111-1-1-1111-1-1-1-1-1
χ311111111111111111111111111-1-1111111-1-1-1-111111111-1-1-1-111111-1-1-1-1-111-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-111-1-1-1-1-1111
χ51111111111111111111111-1-1-1-11111-1-1111111-1-1111111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1
χ61111111111111111111111-1-1-1-111-1-111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-11
χ71111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-11111111111-1-1-1-1-111-111-1-1-1-11
χ81111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11-1-1-1111111-1
χ9111111111111111111-1-1-1-111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11-1-1-1-1-1-1-11-11
χ10111111111111111111-1-1-1-1111111-1-1-1-1-1-111-1-1111111-1-11111-1-1-1-1-111-1-1-111-11-1
χ11111111111111111111-1-1-1-11111-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-11-1
χ12111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-11
χ13111111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-111111-1-1
χ14111111111111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-11111-1-1-1-1-1-111111-1-1-111-1-1-111
χ15111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-11-1-111-111
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1111111111111-1-1-1-11-1-1
χ17222222222-22-22-22-2-2-200002222002222-2-20000-2-200000000000000-20000000000
χ18222222222-22-22-22-2-2-20000222200-2-2-2-2220000-2-20000000000000020000000000
χ19222222222-22-22-22-2-2-20000-2-2-2-20022-2-2-2-20000220000000000000020000000000
χ20222222222-22-22-22-2-2-20000-2-2-2-200-2-2222200002200000000000000-20000000000
χ2122222222-22-22-22-22-2-22222000022000000-2-2-2-2000000-2-20000000000020000000
χ2222222222-22-22-22-22-2-222220000-2-20000002222000000-2-200000000000-20000000
χ2322222222-22-22-22-22-2-2-2-2-2-2000022000000-2-2220000002200000000000-20000000
χ2422222222-22-22-22-22-2-2-2-2-2-20000-2-200000022-2-2000000220000000000020000000
χ2522-2-222-2-20-202020-20022-2-2i2i2−i2−i2000000002i−2i2i−2ii2−i200000022−2−2i2i2−i2−i200002−200000
χ2622-2-222-2-20-202020-20022-2-2i2i2−i2−i200000000−2i2i−2i2ii2−i2000000−2−222i2i2−i2−i20000−2200000
χ2722-2-222-2-20-202020-20022-2-2−i2−i2i2i2000000002i−2i2i−2i−i2i2000000−2−222−i2−i2i2i20000−2200000
χ2822-2-222-2-20-202020-20022-2-2−i2−i2i2i200000000−2i2i−2i2i−i2i200000022−2−2−i2−i2i2i200002−200000
χ2922-2-222-2-20-202020-200-2-222i2i2−i2−i2000000002i−2i−2i2ii2−i200000022−2−2−i2−i2i2i20000−2200000
χ3022-2-222-2-20-202020-200-2-222i2i2−i2−i200000000−2i2i2i−2ii2−i2000000−2−222−i2−i2i2i200002−200000
χ3122-2-222-2-20-202020-200-2-222−i2−i2i2i2000000002i−2i−2i2i−i2i2000000−2−222i2i2−i2−i200002−200000
χ3222-2-222-2-20-202020-200-2-222−i2−i2i2i200000000−2i2i2i−2i−i2i200000022−2−2i2i2−i2−i20000−2200000
χ332-22-22-22-220-20-202000i2−i2i2−i22-22-2002i−2i2i−2i0000000022−2−2i2−i20000i2−i2i2−i20000002−2000
χ342-22-22-22-220-20-202000i2−i2i2−i22-22-200−2i2i−2i2i00000000−2−222i2−i20000i2−i2i2−i2000000−22000
χ352-22-22-22-220-20-202000i2−i2i2−i2-22-22002i−2i−2i2i0000000022−2−2i2−i20000−i2i2−i2i2000000−22000
χ362-22-22-22-220-20-202000i2−i2i2−i2-22-2200−2i2i2i−2i00000000−2−222i2−i20000−i2i2−i2i20000002−2000
χ372-22-22-22-220-20-202000−i2i2−i2i22-22-2002i−2i2i−2i00000000−2−222−i2i20000−i2i2−i2i2000000−22000
χ382-22-22-22-220-20-202000−i2i2−i2i22-22-200−2i2i−2i2i0000000022−2−2−i2i20000−i2i2−i2i20000002−2000
χ392-22-22-22-220-20-202000−i2i2−i2i2-22-22002i−2i−2i2i00000000−2−222−i2i20000i2−i2i2−i20000002−2000
χ402-22-22-22-220-20-202000−i2i2−i2i2-22-2200−2i2i2i−2i0000000022−2−2−i2i20000i2−i2i2−i2000000−22000
χ412-2-2-2-222222-2-222-2-22-200000000000000000000002-22-2002i−2i2i−2i000002i−2i00000000
χ422-2-2-2-222222-2-222-2-22-200000000000000000000002-22-200−2i2i−2i2i00000−2i2i00000000
χ432-2-2-2-222222-2-222-2-22-20000000000000000000000-22-22002i−2i2i−2i00000−2i2i00000000
χ442-2-2-2-222222-2-222-2-22-20000000000000000000000-22-2200−2i2i−2i2i000002i−2i00000000
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000000
χ4644-44-4-44-44040-40-4000000000000000000000000022−22−2222000000000000000000000
χ4744-44-4-44-44040-40-40000000000000000000000000−222222−22000000000000000000000
χ4844-44-4-44-4-40-40404000000000000000004i−4i0000000000000000000000000000000
χ4944-44-4-44-4-40-4040400000000000000000−4i4i0000000000000000000000000000000
χ5044-4-444-4-4040-40-4040000002i22i2−2i2−2i2000000000000−2i22i20000000000000000000000000
χ5144-4-444-4-4040-40-404000000−2i2−2i22i22i20000000000002i2−2i20000000000000000000000000
χ524-444-44-4-404040-40-400000000004-40000000000000000000000000000000000000
χ534-444-44-4-404040-40-40000000000-440000000000000000000000000000000000000
χ544-444-44-4-40-40-404040000000000000000000000000000002i2−2i2−2i22i2000000000000000
χ554-444-44-4-40-40-40404000000000000000000000000000000−2i22i22i2−2i2000000000000000
χ564-44-44-44-4-404040-40002i2−2i22i2−2i20000000000000000000000−2i22i20000000000000000000
χ574-44-44-44-4-404040-4000−2i22i2−2i22i200000000000000000000002i2−2i20000000000000000000
χ584-4-444-4-4400000000002i2−2i2−2i22i22i2−2i2−2i22i2000000000000000000000000-222-200000000000
χ594-4-444-4-4400000000002i2−2i2−2i22i2−2i22i22i2−2i20000000000000000000000002-2-2200000000000
χ604-4-444-4-440000000000−2i22i22i2−2i22i2−2i2−2i22i20000000000000000000000002-2-2200000000000
χ614-4-444-4-440000000000−2i22i22i2−2i2−2i22i22i2−2i2000000000000000000000000-222-200000000000
χ624-4-4-4-44444-4-444-4-44-4400000000000000000000000000000000000000000000000
χ634-4-4-4-4444-444-4-444-4-4400000000000000000000000000000000000000000000000
χ644-4-4-4-4444-4-444-4-4444-400000000000000000000000000000000000000000000000
χ65888-8-8-8-88000000000000000000000000000000000000000000000000000000000

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