Finite Group Databasebeta

← Group #309766

Character table — Group #309766

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888224444444488888888888888444444448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-111-1-1-1-1111111111111111-1-1-1-1-1-1-111-1-1-1-1-1
χ311111111111111111111111111-1-11111111111-1-1-1-11111-1-1-1-1-111111-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111111
χ51111111111111111111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-11
χ61111111111111111111111-1-1-1-111-1-1111111-1-11111-1-1-1-1-1-1-1-11-111-1-111-1-1-1-111-1
χ71111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-1111111-1-111-1
χ81111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-11
χ91111111111111111-1-1-1-11111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11
χ101111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1111111-1
χ111111111111111111-1-1-1-1111111-1-111-1-11111111111-1-1-1-11111-11-1-1-1-1-1-1-1-11111-1
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1111111-1-1-1-1-1-11
χ131111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111
χ141111111111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1111111111-1-1-11111-1-111-1-1-1
χ151111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1111-1-1111111-1-1-1
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1111
χ17222222222-222-2-22-22222-2-200002200-2-200000022-2-200000000-200000000000000
χ18222222222-222-2-22-22222-2-20000-2-200-2-2000000-2-22200000000200000000000000
χ19222222222-222-2-22-2-2-2-2-2-2-20000220022000000-2-22200000000-200000000000000
χ20222222222-222-2-22-2-2-2-2-2-2-20000-2-2002200000022-2-200000000200000000000000
χ2122222222-22-2-222-220000-2-2222200220022-2-2-2-20000000000000-20000000000000
χ2222222222-22-2-222-220000-2-2222200-2-200-2-222-2-2000000000000020000000000000
χ2322222222-22-2-222-220000-2-2-2-2-2-2002200-2-222220000000000000-20000000000000
χ2422222222-22-2-222-220000-2-2-2-2-2-200-2-20022-2-222000000000000020000000000000
χ252222-2-2-2-2202-200-2022-2-20022−2−22-2000000002−22-20022−2−222−2−2000000002−200000
χ262222-2-2-2-2202-200-2022-2-20022−2−2-22000000002−2-220022−2−2−2−22200000000−2200000
χ272222-2-2-2-2202-200-2022-2-200−2−2222-200000000−222-200−2−222−2−22200000000−2200000
χ282222-2-2-2-2202-200-2022-2-200−2−222-2200000000−22-2200−2−22222−2−2000000002−200000
χ292222-2-2-2-2202-200-20-2-2220022−2−22-2000000002−2-2200−2−222−2−222000000002−200000
χ302222-2-2-2-2202-200-20-2-2220022−2−2-22000000002−22-200−2−22222−2−200000000−2200000
χ312222-2-2-2-2202-200-20-2-22200−2−2222-200000000−22-220022−2−222−2−200000000−2200000
χ322222-2-2-2-2202-200-20-2-22200−2−222-2200000000−222-20022−2−2−2−222000000002−200000
χ332-22-22-22-222-2-2-2-2222i−2i2i−2i2-2000000002i−2i2i−2i2i−2i00000000000000002-200000000000
χ342-22-22-22-222-2-2-2-2222i−2i2i−2i2-2000000002i−2i−2i2i−2i2i0000000000000000-2200000000000
χ352-22-22-22-222-2-2-2-222−2i2i−2i2i2-200000000−2i2i2i−2i2i−2i0000000000000000-2200000000000
χ362-22-22-22-222-2-2-2-222−2i2i−2i2i2-200000000−2i2i−2i2i−2i2i00000000000000002-200000000000
χ372-22-22-22-22-2-2-2222-22i−2i2i−2i-2200000000−2i2i0000000000000000000000002i−2i00002-20
χ382-22-22-22-22-2-2-2222-22i−2i2i−2i-2200000000−2i2i000000000000000000000000−2i2i0000-220
χ392-22-22-22-22-2-2-2222-2−2i2i−2i2i-22000000002i−2i0000000000000000000000002i−2i0000-220
χ402-22-22-22-22-2-2-2222-2−2i2i−2i2i-22000000002i−2i000000000000000000000000−2i2i00002-20
χ412-22-22-22-2-2222-2-2-220000-2200000000002i−2i−2i2i0000002-22-2000000002i−2i000000000
χ422-22-22-22-2-2222-2-2-220000-2200000000002i−2i−2i2i000000-22-2200000000−2i2i000000000
χ432-22-22-22-2-2222-2-2-220000-220000000000−2i2i2i−2i0000002-22-200000000−2i2i000000000
χ442-22-22-22-2-2222-2-2-220000-220000000000−2i2i2i−2i000000-22-22000000002i−2i000000000
χ4544444444-4-4-4-4-4-4-4-40000440000000000000000000000000000000000000000000
χ464444-4-4-4-4-40-4400400000002222−22−220000000000−2222000000000000000000000000000
χ474444-4-4-4-4-40-440040000000−22−222222000000000022−22000000000000000000000000000
χ4844-4-4-4-44404004-40-40000000000004i−4i00000000000000000000000000000000000
χ4944-4-4-4-44404004-40-4000000000000−4i4i00000000000000000000000000000000000
χ5044-4-4-4-4440-400-44040000000000000000000000000000000000000000000022−22000
χ5144-4-4-4-4440-400-440400000000000000000000000000000000000000000000−2222000
χ524-44-44-44-4-4-44444-4-400004-40000000000000000000000000000000000000000000
χ534-44-4-44-4440-4400-404i−4i−4i4i000000000000000000000000000000000000000000000
χ544-44-4-44-4440-4400-40−4i4i4i−4i000000000000000000000000000000000000000000000
χ554-44-4-44-44-404-400400000000000000000000000000022−22−22220000000000000000000
χ564-44-4-44-44-404-4004000000000000000000000000000−222222−220000000000000000000
χ574-4-444-4-44000000000000002i2−2i22i2−2i2000000000000002i2−2i200002-22-2000000000000000
χ584-4-444-4-44000000000000002i2−2i22i2−2i200000000000000−2i22i20000-22-22000000000000000
χ594-4-444-4-4400000000000000−2i22i2−2i22i2000000000000002i2−2i20000-22-22000000000000000
χ604-4-444-4-4400000000000000−2i22i2−2i22i200000000000000−2i22i200002-22-2000000000000000
χ614-4-44-444-40400-440-40000004i−4i−4i4i000000000000000000000000000000000000000
χ624-4-44-444-40400-440-4000000−4i4i4i−4i000000000000000000000000000000000000000
χ634-4-44-444-40-4004-40400000000000000000000000000000022−22−2222000000000000000
χ644-4-44-444-40-4004-404000000000000000000000000000000−222222−22000000000000000
χ6588-8-888-8-8000000000000000000000000000000000000000000000000000000000

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