Finite Group Databasebeta

← Group #314184

Character table — Group #314184

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111111122222222444444888888888888888888888888881616161616161616161616163232
order12222222444444444488882244444444448888888888888824444488888844
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ311111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111-1-1-1-11111111111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111
χ61111111111111111111111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1
χ71111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-111-1-111-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-1-1-111
χ9111111111111111111-1-1-1-11111111111-1-1-1-111-1-1-1-111-1-1-1-1-1111-1-1-1-1-1-1111-1
χ10111111111111111111-1-1-1-111111111-1-111-1-111-1-1-1-111-1-1-1-11-1-1-11111-1-1-1-1-11
χ11111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-11111-1111-1-111-1-1-1-1-11
χ12111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-111111-1-1-111-1-1-1-1111-1
χ13111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-1111111-1-11-1
χ14111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-111111-111-1-1-1-11111-11
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-11-1-111-1-11111-11
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-11-111-1-11111-1-11-1
χ17222222222-22-22-22-2-2-22222000000002222-2-2000000000000-2-2000000000000
χ18222222222-22-22-22-2-2-2222200000000-2-2-2-2-2-200000000000022000000000000
χ19222222222-22-22-22-2-2-2-2-2-2-20000000022-2-2220000000000002-2000000000000
χ20222222222-22-22-22-2-2-2-2-2-2-200000000-2-22222000000000000-22000000000000
χ2122222222-22-22-22-22-2-2000022-2-222-2-2000000-2-2000022000000000000000000
χ2222222222-22-22-22-22-2-2000022-2-2-2-222000000220000-2-2000000000000000000
χ2322222222-22-22-22-22-2-20000-2-22222-2-2000000220000-2-2000000000000000000
χ2422222222-22-22-22-22-2-20000-2-222-2-222000000-2-2000022000000000000000000
χ252-22-22-2-2222-2-222-2-2-222i2i−2i−2i2-22-2000000002i−2i000000000000000000002i−2i0000
χ262-22-22-2-2222-2-222-2-2-222i2i−2i−2i-22-22000000002i−2i00000000000000000000−2i2i0000
χ272-22-22-2-2222-2-222-2-2-22−2i−2i2i2i2-22-200000000−2i2i00000000000000000000−2i2i0000
χ282-22-22-2-2222-2-222-2-2-22−2i−2i2i2i-22-2200000000−2i2i000000000000000000002i−2i0000
χ292-22-22-2-222-2-222-2-222-22i2i−2i−2i000000000000−2i2i000000000000002i−2i2-200000000
χ302-22-22-2-222-2-222-2-222-22i2i−2i−2i000000000000−2i2i00000000000000−2i2i-2200000000
χ312-22-22-2-222-2-222-2-222-2−2i−2i2i2i0000000000002i−2i000000000000002i−2i-2200000000
χ322-22-22-2-222-2-222-2-222-2−2i−2i2i2i0000000000002i−2i00000000000000−2i2i2-200000000
χ332-22-22-2-22-222-2-222-22-200002-2-220000000000002i2i−2i−2i002i2i−2i−2i00000000000000
χ342-22-22-2-22-222-2-222-22-200002-2-22000000000000−2i−2i2i2i00−2i−2i2i2i00000000000000
χ352-22-22-2-22-222-2-222-22-20000-222-20000000000002i2i−2i−2i00−2i−2i2i2i00000000000000
χ362-22-22-2-22-222-2-222-22-20000-222-2000000000000−2i−2i2i2i002i2i−2i−2i00000000000000
χ372-2-2-2222-22020-20-20002i−2i2i−2i000000002-22i−2i002−200002−2i2−i2i2−i2000000i2−i2002−200
χ382-2-2-2222-22020-20-20002i−2i2i−2i000000002-22i−2i00−220000−22−i2i2−i2i2000000−i2i200−2200
χ392-2-2-2222-22020-20-20002i−2i2i−2i00000000-22−2i2i002−200002−2i2−i2i2−i2000000−i2i200−2200
χ402-2-2-2222-22020-20-20002i−2i2i−2i00000000-22−2i2i00−220000−22−i2i2−i2i2000000i2−i2002−200
χ412-2-2-2222-22020-20-2000−2i2i−2i2i000000002-2−2i2i002−200002−2−i2i2−i2i2000000−i2i2002−200
χ422-2-2-2222-22020-20-2000−2i2i−2i2i000000002-2−2i2i00−220000−22i2−i2i2−i2000000i2−i200−2200
χ432-2-2-2222-22020-20-2000−2i2i−2i2i00000000-222i−2i002−200002−2−i2i2−i2i2000000i2−i200−2200
χ442-2-2-2222-22020-20-2000−2i2i−2i2i00000000-222i−2i00−220000−22i2−i2i2−i2000000−i2i2002−200
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000
χ4644-444-4-4-440-40-4040004-4-440000000000000000000000000000000000000000
χ4744-444-4-4-440-40-404000-444-40000000000000000000000000000000000000000
χ4844-444-4-4-4-404040-40000000000000000000000000000022−22−222200000000000000
χ4944-444-4-4-4-404040-400000000000000000000000000000−222222−2200000000000000
χ5044-4-4-44-4404040-40-400000000000000000000002i2−2i22i2−2i200000000000000000000
χ5144-4-4-44-4404040-40-40000000000000000000000−2i22i2−2i22i200000000000000000000
χ5244-4-4-44-440-40-4040400000000004-40000000000000000000000000000000000
χ5344-4-4-44-440-40-404040000000000-440000000000000000000000000000000000
χ544-44-44-4-44-4-444-4-444-4400000000000000000000000000000000000000000000
χ554-4-44-4-444040-40-404000000000000000000000022−22−222200000000000000000000
χ564-4-44-4-444040-40-4040000000000000000000000−222222−2200000000000000000000
χ574-4-44-4-4440-404040-40000000000004-400000000000000000000000000000000
χ584-4-44-4-4440-404040-4000000000000-4400000000000000000000000000000000
χ594-4-4-4444-4-40-4040400000000000000000000022−220000−2222000000000000000000
χ604-4-4-4444-4-40-40404000000000000000000000−2222000022−22000000000000000000
χ61888-8-8-88-8000000000000000000000000000000000000000000000000000000
χ628-888-88-8-8000000000000000000000000000000000000000000000000000000

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