Finite Group Databasebeta

← Group #286452

Character table — Group #286452

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444444888888888888888888888881616161616161616161616163232
order12222222444444442244444488884444488888888888888888844444488888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11-1-11-1-1-1-111-1-1-1-1
χ31111111111111111111111111111-1-11-1-1111111-1-1-1-111111111-1-1-1-1-1-111-1-111-1-1
χ41111111111111111111111111111-1-11-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-111
χ5111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1111111111-1-11-1-1-1-1-1-1-1-111
χ6111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1
χ7111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111111111-111-111-1-111-1-1-1-1
χ8111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ91111111111111111-1-1-1-1-1-111111111-11111-1-1-1-111111111-1-1-1-1-111-1-1-111-1-1-1-11-1
χ101111111111111111-1-1-1-1-1-111111111-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-111-11
χ111111111111111111-1-1-1-1-1-1111111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11-1-11111111-1-1-11
χ121111111111111111-1-1-1-1-1-1111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111-1
χ131111111111111111-1-1-1-1-1-111-1-1-1-111-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111111-1
χ141111111111111111-1-1-1-1-1-111-1-1-1-111-111-1-11111-1-1-1-1-1-1-1-11111-111-1-1-11111-1-1-11
χ151111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-111-11
χ161111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111-1-111111-1-1-1-11-1
χ172222222222-2-2-22-2222-2-222-2-2000022-2-2-2000000000000000000200-20000000000
χ182222222222-2-2-22-2222-2-222-2-20000-2-2-222000000000000000000-20020000000000
χ192222222222-2-2-22-22-2-222-2-2-2-20000222-2-2000000000000000000-20020000000000
χ202222222222-2-2-22-22-2-222-2-2-2-20000-2-2222000000000000000000200-20000000000
χ2122222222-2-2222-22-22222-2-2-2-2222200-200-2-222-2-200000000000000000000000000
χ2222222222-2-2222-22-22222-2-2-2-2-2-2-2-200-20022-2-22200000000000000000000000000
χ2322222222-2-2222-22-2-2-2-2-222-2-2222200200-2-2-2-22200000000000000000000000000
χ2422222222-2-2222-22-2-2-2-2-222-2-2-2-2-2-2002002222-2-200000000000000000000000000
χ2522222222-2-2-2-2-2-2-2-222-2-2-2-2220000002000000002i2i−2i−2i00000000000000002i−2i0000
χ2622222222-2-2-2-2-2-2-2-222-2-2-2-222000000200000000−2i−2i2i2i0000000000000000−2i2i0000
χ2722222222-2-2-2-2-2-2-2-2-2-2222222000000-2000000002i2i−2i−2i0000000000000000−2i2i0000
χ2822222222-2-2-2-2-2-2-2-2-2-2222222000000-200000000−2i−2i2i2i00000000000000002i−2i0000
χ292222-2-2-2-20022-20-202-22-2000022-2-200000002-200000022−2−222−2−20000002−2002−200
χ302222-2-2-2-20022-20-202-22-2000022-2-200000002-2000000−2−222−2−222000000−2200−2200
χ312222-2-2-2-20022-20-202-22-20000-2-2220000000-2200000022−2−222−2−2000000−2200−2200
χ322222-2-2-2-20022-20-202-22-20000-2-2220000000-22000000−2−222−2−2220000002−2002−200
χ332222-2-2-2-20022-20-20-22-22000022-2-20000000-2200000022−2−2−2−2220000002−200−2200
χ342222-2-2-2-20022-20-20-22-22000022-2-20000000-22000000−2−22222−2−2000000−22002−200
χ352222-2-2-2-20022-20-20-22-220000-2-22200000002-200000022−2−2−2−222000000−22002−200
χ362222-2-2-2-20022-20-20-22-220000-2-22200000002-2000000−2−22222−2−20000002−200−2200
χ372-2-222-22-22-22-22-2-220000002-20000000000000002i−2i2i−2i00002-22-200002i−2i00000000
χ382-2-222-22-22-22-22-2-220000002-20000000000000002i−2i2i−2i0000-22-220000−2i2i00000000
χ392-2-222-22-22-22-22-2-220000002-2000000000000000−2i2i−2i2i00002-22-20000−2i2i00000000
χ402-2-222-22-22-22-22-2-220000002-2000000000000000−2i2i−2i2i0000-22-2200002i−2i00000000
χ412-2-222-22-2-22-22-222-20000002-20000000000000002-2-222i−2i2i−2i000002i−2i00000000000
χ422-2-222-22-2-22-22-222-20000002-20000000000000002-2-22−2i2i−2i2i00000−2i2i00000000000
χ432-2-222-22-2-22-22-222-20000002-2000000000000000-222-22i−2i2i−2i00000−2i2i00000000000
χ442-2-222-22-2-22-22-222-20000002-2000000000000000-222-2−2i2i−2i2i000002i−2i00000000000
χ454444-4-4-4-400-4-440404-4-44000000000000000000000000000000000000000000000
χ464444-4-4-4-400-4-44040-444-4000000000000000000000000000000000000000000000
χ4744-4-444-4-44-400040-40000000000004-400000000000000000000000000000000000
χ4844-4-444-4-44-400040-4000000000000-4400000000000000000000000000000000000
χ4944-4-444-4-4-44000-4040000000000000004i−4i00000000000000000000000000000000
χ5044-4-444-4-4-44000-404000000000000000−4i4i00000000000000000000000000000000
χ514-44-44-4-4444000-40-40000000022−2222−220000022−22000000000000000000000000000000
χ524-44-44-4-4444000-40-400000000−2222−222200000−2222000000000000000000000000000000
χ534-44-44-4-44-4-40004040000000022−2222−2200000−2222000000000000000000000000000000
χ544-44-44-4-44-4-400040400000000−2222−22220000022−22000000000000000000000000000000
χ554-44-4-444-40000000000004i−4i0022−22−22220000000002i2−2i200000000000000000000000000
χ564-44-4-444-40000000000004i−4i00−222222−22000000000−2i22i200000000000000000000000000
χ574-44-4-444-4000000000000−4i4i0022−22−2222000000000−2i22i200000000000000000000000000
χ584-44-4-444-4000000000000−4i4i00−222222−220000000002i2−2i200000000000000000000000000
χ594-4-444-44-44-4-44-4-444000000-4400000000000000000000000000000000000000000
χ604-4-444-44-4-444-444-4-4000000-4400000000000000000000000000000000000000000
χ614-4-44-44-44004-4-4040000000000000000000000000000000022−22−222200000000000000
χ624-4-44-44-44004-4-40400000000000000000000000000000000−222222−2200000000000000
χ634-4-44-44-4400-4440-400000000000000000000000000002i2−2i2−2i22i2000000000000000000
χ644-4-44-44-4400-4440-40000000000000000000000000000−2i22i22i2−2i2000000000000000000
χ6588-8-8-8-888000000000000000000000000000000000000000000000000000000000

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