Finite Group Databasebeta

← Group #12089951

Character table — Group #12089951

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size11112222222222224444444444444444444888888888888888888888888888161616162020202020203232323232323232404040404040404040404080
order1222444455101010101010488888820202020202020202020202088840404040404040404040404040404040404040404040404024442244441010202020202020444448888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-11111-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111
χ51111111111111111111-1-111111111111111-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-11-1-1-111-1-1111
χ61111111111111111111-1-111111111111111-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11-1111-1-111-1-1-1
χ71111111111111111111-1-111111111111111-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1111111-1-1-1-1-1
χ81111111111111111111-1-111111111111111-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111111-1-1-1-1-1-111111
χ911111111111111111-1-111-1-11111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-111111111-1-111-1-1111-1-1-1-1-1-111-1
χ1011111111111111111-1-111-1-11111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-111-1-111-1-1-1-1-1111111-1-11
χ1111111111111111111-1-111-1-11111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-111111-1-1-1-111-1-11111-111-1-1-1-1-1-11
χ1211111111111111111-1-111-1-11111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-111-1-111-1-111-1-11-1-1111111-1
χ1311111111111111111-1-1-1-1-1-1111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1111-1-1-1-111-1-1-1-111-11-111-1-11111-1
χ1411111111111111111-1-1-1-1-1-1111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-11-1-1111111-1-1-1-1111-11-1-111-1-1-1-11
χ1511111111111111111-1-1-1-1-1-1111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-111-1-111-1-11111-1-1-111-1-1-1-111-1-11
χ1611111111111111111-1-1-1-1-1-1111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-111-1-1-1-11111-1-11-1-11111-1-111-1
χ1722222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522222000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000000
χ1822222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-20000001−521+521−521+521−521+521−521+52000000000000
χ1922222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52222-2-222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+5222-2-2000000−1+52−1−52−1+52−1−521−521+521−521+52000000000000
χ2022222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52222-2-222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52-2-2220000001−521+521−521+52−1+52−1−52−1+52−1−52000000000000
χ2122222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522-2-222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522-2-21−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+522-22-2000000−1+52−1−521−521+52−1+52−1−521−521+52000000000000
χ2222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522-2-222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522-2-21−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52-22-220000001−521+52−1+52−1−521−521+52−1+52−1−52000000000000
χ2322222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522-2-2-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2221−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-2-22000000−1+52−1−521−521+521−521+52−1+52−1−52000000000000
χ2422222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522-2-2-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2221−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-222-20000001−521+52−1+52−1−52−1+52−1−521−521+52000000000000
χ2522222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522222000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000000000
χ2622222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2-20000001+521−521+521−521+521−521+521−52000000000000
χ2722222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52222-2-222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−5222-2-2000000−1−52−1+52−1−52−1+521+521−521+521−52000000000000
χ2822222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52222-2-222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52-2-2220000001+521−521+521−52−1−52−1+52−1−52−1+52000000000000
χ2922222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522-2-222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522-2-21+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−522-22-2000000−1−52−1+521+521−52−1−52−1+521+521−52000000000000
χ3022222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522-2-222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522-2-21+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52-22-220000001+521−52−1−52−1+521+521−52−1−52−1+52000000000000
χ3122222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522-2-2-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2221+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522-2-22000000−1−52−1+521+521−521+521−52−1−52−1+52000000000000
χ3222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522-2-2-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2221+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-222-20000001+521−52−1−52−1+52−1−52−1+521+521−52000000000000
χ3322222-22-222222222-2002200-2-2-2-22222-2-2-2-2-2000000000022-2-222-2-200000000000022220000000000-2-20000000000
χ3422222-22-222222222-2002200-2-2-2-22222-2-2-2-2-2000000000022-2-222-2-2000000000000-2-2-2-20000000000220000000000
χ3522222-22-222222222-200-2-200-2-2-2-22222-2-2-2-220000000000-2-222-2-22200000000000022-2-200000000002-20000000000
χ3622222-22-222222222-200-2-200-2-2-2-22222-2-2-2-220000000000-2-222-2-222000000000000-2-2220000000000-220000000000
χ372222-22-2222222222-22200-2-22222-2-2-2-2-2-2-2-200022-2-222-2-2000000000000000000000000220000000000-22-20000000
χ382222-22-2222222222-22200-2-22222-2-2-2-2-2-2-2-200022-2-222-2-2000000000000000000000000-2-200000000002-220000000
χ392222-22-2222222222-2-2-200222222-2-2-2-2-2-2-2-2000-2-222-2-222000000000000000000000000220000000000-2-220000000
χ402222-22-2222222222-2-2-200222222-2-2-2-2-2-2-2-2000-2-222-2-222000000000000000000000000-2-2000000000022-20000000
χ4122-2-2-202022-2-222-2-202−22i−2i2−200002-22-200000i2−i22−22−22−22−22i−2i002i−2i00i2i2−i2−i2i2i2−i2−i200002-22i−2i0000000000000002−2i2−i2000
χ4222-2-2-202022-2-222-2-202−22i−2i2−200002-22-200000i2−i22−22−22−22−22i−2i002i−2i00i2i2−i2−i2i2i2−i2−i20000-22−2i2i000000000000000−22−i2i2000
χ4322-2-2-202022-2-222-2-202−2−2i2i2−200002-22-200000−i2i22−22−22−22−2−2i2i00−2i2i00−i2−i2i2i2−i2−i2i2i200002-2−2i2i0000000000000002−2−i2i2000
χ4422-2-2-202022-2-222-2-202−2−2i2i2−200002-22-200000−i2i22−22−22−22−2−2i2i00−2i2i00−i2−i2i2i2−i2−i2i2i20000-222i−2i000000000000000−22i2−i2000
χ4522-2-2-202022-2-222-2-20−222i−2i−2200002-22-200000−i2i2−22−22−22−222i−2i002i−2i00−i2−i2i2i2−i2−i2i2i200002-22i−2i000000000000000−22−i2i2000
χ4622-2-2-202022-2-222-2-20−222i−2i−2200002-22-200000−i2i2−22−22−22−222i−2i002i−2i00−i2−i2i2i2−i2−i2i2i20000-22−2i2i0000000000000002−2i2−i2000
χ4722-2-2-202022-2-222-2-20−22−2i2i−2200002-22-200000i2−i2−22−22−22−22−2i2i00−2i2i00i2i2−i2−i2i2i2−i2−i200002-2−2i2i000000000000000−22i2−i2000
χ4822-2-2-202022-2-222-2-20−22−2i2i−2200002-22-200000i2−i2−22−22−22−22−2i2i00−2i2i00i2i2−i2−i2i2i2−i2−i20000-222i−2i0000000000000002−2−i2i2000
χ4944444-44-4−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5-40044001−51−51+51+5−1+5−1+5−1−5−1−51−51−51+51+5-40000000000−1+5−1+51−51−5−1−5−1−51+51+500000000000000000000000000000000000000
χ5044444-44-4−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5-400-4-4001−51−51+51+5−1+5−1+5−1−5−1−51−51−51+51+5400000000001−51−5−1+5−1+51+51+5−1−5−1−500000000000000000000000000000000000000
χ5144444-44-4−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5-40044001+51+51−51−5−1−5−1−5−1+5−1+51+51+51−51−5-40000000000−1−5−1−51+51+5−1+5−1+51−51−500000000000000000000000000000000000000
χ5244444-44-4−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5-400-4-4001+51+51−51−5−1−5−1−5−1+5−1+51+51+51−51−5400000000001+51+5−1−5−1−51−51−5−1+5−1+500000000000000000000000000000000000000
χ534444-44-44−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5-44400-4-4−1+5−1+5−1−5−1−51−51−51+51+51−51−51+51+5000−1+5−1+51−51−5−1−5−1−51+51+50000000000000000000000000000000000000000000000
χ544444-44-44−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5-4-4-40044−1+5−1+5−1−5−1−51−51−51+51+51−51−51+51+50001−51−5−1+5−1+51+51+5−1−5−1−50000000000000000000000000000000000000000000000
χ554444-44-44−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5-44400-4-4−1−5−1−5−1+5−1+51+51+51−51−51+51+51−51−5000−1−5−1−51+51+5−1+5−1+51−51−50000000000000000000000000000000000000000000000
χ564444-44-44−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5-4-4-40044−1−5−1−5−1+5−1+51+51+51−51−51+51+51−51−50001+51+5−1−5−1−51−51−5−1+5−1+50000000000000000000000000000000000000000000000
χ574444-4-4-4-4444444444000000-4-4-4-4-4-4-4-44444000000000000000000000000000000000000000000000000000000000
χ584444-4-4-4-4−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−540000001−51−51+51+51−51−51+51+5−1+5−1+5−1−5−1−500000000000000000002ζ12−2ζ28−2ζ12+2ζ282ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ36−2ζ4+2ζ362ζ4−2ζ36000000000000000000000000000000
χ594444-4-4-4-4−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−540000001−51−51+51+51−51−51+51+5−1+5−1+5−1−5−1−50000000000000000000−2ζ12+2ζ282ζ12−2ζ28−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ362ζ4−2ζ36−2ζ4+2ζ36000000000000000000000000000000
χ604444-4-4-4-4−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+540000001+51+51−51−51+51+51−51−5−1−5−1−5−1+5−1+50000000000000000000−2ζ4+2ζ362ζ4−2ζ36−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ28−2ζ12+2ζ282ζ12−2ζ28000000000000000000000000000000
χ614444-4-4-4-4−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+540000001+51+51−51−51+51+51−51−5−1−5−1−5−1+5−1+500000000000000000002ζ4−2ζ36−2ζ4+2ζ362ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ282ζ12−2ζ28−2ζ12+2ζ28000000000000000000000000000000
χ6244-4-440-4044-4-444-4-4022−2200−22220000-44-44000000022−22−222222−22−22220000000000000000000000000000000000000000000000
χ6344-4-440-4044-4-444-4-40−22220022−220000-44-440000000−222222−22−222222−220000000000000000000000000000000000000000000000
χ6444-4-440-40−1+5−1−51−51+5−1+5−1−51−51+5022−2200−222200001−5−1+51+5−1−50000000−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ3900−2ζ22+2ζ382ζ22−2ζ38002ζ6−2ζ14−2ζ6+2ζ14ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39000000000000000000000000000000
χ6544-4-440-40−1+5−1−51−51+5−1+5−1−51−51+5022−2200−222200001−5−1+51+5−1−50000000−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39002ζ22−2ζ38−2ζ22+2ζ3800−2ζ6+2ζ142ζ6−2ζ14−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39000000000000000000000000000000
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χ814-44-4040-44444-4-4-4-400000004-44-400000000000000000000000000000000000000000000000000000000000000−22220
χ824-44-40-4044444-4-4-4-40000000-44-4400000000000000000000000000000000000000000004i−4i00000000000000000000
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Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.