Finite Group Databasebeta

← Group #12084500

Character table — Group #12084500

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107
size1111222222222222444444444444444444444444444448888888888888888888888881010101016161616161616161616162020202020202020202020202020323232324040808080
order1222444455101010101010224448888888820202020202020204040404040404040881010101020202020202040404040404040404040404044444484040404040404040222444888888882020202088248
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1
χ3111111111111111111111111111111111111111111111-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ5111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1111-1-1
χ6111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-111
χ7111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-111
χ8111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-111111111-1-111111-1-1
χ91111111111111111-1-11-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-11-11111-1-1-1-11-1-11-1-1-1-11111-1-1-1-11111-11-1
χ101111111111111111-1-11-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-11-11111-1-1-1-1-111-11111-1-1-1-111-1-111-1-11-11
χ111111111111111111-1-11-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111-11-1-1-1-111111-1-11-1-1-1-11111-1-111-1-1-1-11-11
χ121111111111111111-1-11-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11-11-1-1-1-11111-111-11111-1-1-1-11111-1-111-11-1
χ131111111111111111-1-11-1-1-1-1-1-11111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111111111-1-11-1-111-1-1-1-111-1-1-1-111-1-11
χ141111111111111111-1-11-1-1-1-1-1-11111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-111-111-1-11111-1-1-1-1-1-1-1-111-1
χ151111111111111111-1-11-1-1-1-1-1-111111111111111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-11-1-111-1-1-1-1111111-1-111-1
χ161111111111111111-1-11-1-1-1-1-1-111111111111111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-111-1-11111-1-1111111-1-11
χ1722222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522222222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222−1+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+52−1−52−1−52−1−52−1−520000222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000−1+52−1−52−1+52−1−5200000
χ1822222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522222222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2−1+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+52−1−52−1−52−1−52−1−520000-2-2-21−521−521+521+521−521−521+521+52000000000000001−521+521−521+5200000
χ1922222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222222-2-2-2-2-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+5222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521−521−521+521+521+521+5200002-2-2−1+52−1+52−1−52−1−521−521−521+521+5200000000000000−1+52−1−521−521+5200000
χ2022222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222222-2-2-2-2-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52-2-2−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521−521−521+521+521+521+520000-2221−521−521+521+52−1+52−1+52−1−52−1−52000000000000001−521+52−1+52−1−5200000
χ2122222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-22-2-22222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52221−521−521+521+52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000-22-2−1+52−1+52−1−52−1−521−521−521+521+52000000000000001−521+52−1+52−1−5200000
χ2222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-22-2-22222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52-2-21−521−521+521+52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200002-221−521−521+521+52−1+52−1+52−1−52−1−5200000000000000−1+52−1−521−521+5200000
χ2322222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-22-2-2-2-2-2-22222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52221−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+520000-2-22−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000001−521+521−521+5200000
χ2422222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-22-2-2-2-2-2-22222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-21−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52000022-21−521−521+521+521−521−521+521+5200000000000000−1+52−1−52−1+52−1−5200000
χ2522222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522222222222222−1−52−1+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+5222−1−52−1−52−1+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+520000222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000−1−52−1+52−1−52−1+5200000
χ2622222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522222222222222−1−52−1+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+52-2-2−1−52−1−52−1+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+520000-2-2-21+521+521−521−521+521+521−521−52000000000000001+521−521+521−5200000
χ2722222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222222-2-2-2-2-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−5222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521+521+521−521−521−521−5200002-2-2−1−52−1−52−1+52−1+521+521+521−521−5200000000000000−1−52−1+521+521−5200000
χ2822222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222222-2-2-2-2-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-2-2−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521+521+521−521−521−521−520000-2221+521+521−521−52−1−52−1−52−1+52−1+52000000000000001+521−52−1−52−1+5200000
χ2922222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-22-2-22222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52221+521+521−521−52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000-22-2−1−52−1−52−1+52−1+521+521+521−521−52000000000000001+521−52−1−52−1+5200000
χ3022222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-22-2-22222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-2-21+521+521−521−52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200002-221+521+521−521−52−1−52−1−52−1+52−1+5200000000000000−1−52−1+521+521−5200000
χ3122222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-22-2-2-2-2-2-22222−1−52−1+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+52221+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−520000-2-22−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000001+521−521+521−5200000
χ3222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-22-2-2-2-2-2-22222−1−52−1+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+52-2-21+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52000022-21+521+521−521−521+521+521−521−5200000000000000−1−52−1+52−1−52−1+5200000
χ3322222-2-222222222222-2-2-20000000022-2-2-2-22200000000002222-2-2-2-2-2-2000000000000222200000000000-2-2-2-22200000000000000000
χ3422222-2-222222222222-2-2-20000000022-2-2-2-22200000000002222-2-2-2-2-2-2000000000000-2-2-2-2000000000002222-2-200000000000000000
χ3522222-2-2222222222-2-2-2220000000022-2-2-2-2220000000000-2-2-2-2-2-22222000000000000222200000000000-222-2-2-200000000000000000
χ3622222-2-2222222222-2-2-2220000000022-2-2-2-2220000000000-2-2-2-2-2-22222000000000000-2-2-2-2000000000002-2-222200000000000000000
χ372222-222-22222222200-200000022-2-2-2-22222-2-222222222000000-2-20000-2-2-2-20000000022-2-200000000000-200200220000-2-2000000000
χ382222-222-22222222200-200000022-2-2-2-22222-2-222222222000000-2-20000-2-2-2-200000000-2-22200000000000200-200-2-2000022000000000
χ392222-222-22222222200-2000000-2-222-2-22222-2-2-2-2-2-2-2-2-2-2000000-2-2000022220000000022-2-200000000000-200200-2-2000022000000000
χ402222-222-22222222200-2000000-2-222-2-22222-2-2-2-2-2-2-2-2-2-2000000-2-20000222200000000-2-22200000000000200-200220000-2-2000000000
χ412222-2-2-2-222222222002002i2i−2i−2i0000-2-2-2-2-2-2-2-20000000000000022000000002i2i−2i−2i2i2i−2i−2i22-2-200000000000200-200002i2i−2i−2i00000000000
χ422222-2-2-2-222222222002002i2i−2i−2i0000-2-2-2-2-2-2-2-20000000000000022000000002i2i−2i−2i2i2i−2i−2i-2-22200000000000-20020000−2i−2i2i2i00000000000
χ432222-2-2-2-22222222200200−2i−2i2i2i0000-2-2-2-2-2-2-2-2000000000000002200000000−2i−2i2i2i−2i−2i2i2i22-2-200000000000200-20000−2i−2i2i2i00000000000
χ442222-2-2-2-22222222200200−2i−2i2i2i0000-2-2-2-2-2-2-2-2000000000000002200000000−2i−2i2i2i−2i−2i2i2i-2-22200000000000-200200002i2i−2i−2i00000000000
χ452-22-2200-2222-22-2-2-20002i−2ii2−i2i2−i22−22−2-2-200002222−2−222−2−2000000002i−2i2i−2i2−22−2i2−i2i2−i2i2−i2i2−i22i−2i2i−2i0000000000002-2000i2−i22−22−2i2−i2000000000
χ462-22-2200-2222-22-2-2-20002i−2ii2−i2i2−i22−22−2-2-200002222−2−222−2−2000000002i−2i2i−2i2−22−2i2−i2i2−i2i2−i2i2−i2−2i2i−2i2i000000000000-22000−i2i2−22−22−i2i2000000000
χ472-22-2200-2222-22-2-2-20002i−2i−i2i2−i2i2−22−22-2-2000022−2−222−2−222000000002i−2i2i−2i−22−22−i2i2−i2i2−i2i2−i2i22i−2i2i−2i0000000000002-2000−i2i2−22−22−i2i2000000000
χ482-22-2200-2222-22-2-2-20002i−2i−i2i2−i2i2−22−22-2-2000022−2−222−2−222000000002i−2i2i−2i−22−22−i2i2−i2i2−i2i2−i2i2−2i2i−2i2i000000000000-22000i2−i22−22−2i2−i2000000000
χ492-22-2200-2222-22-2-2-2000−2i2ii2−i2i2−i2−22−22-2-2000022−2−222−2−22200000000−2i2i−2i2i−22−22i2−i2i2−i2i2−i2i2−i22i−2i2i−2i000000000000-22000−i2i22−22−2−i2i2000000000
χ502-22-2200-2222-22-2-2-2000−2i2ii2−i2i2−i2−22−22-2-2000022−2−222−2−22200000000−2i2i−2i2i−22−22i2−i2i2−i2i2−i2i2−i2−2i2i−2i2i0000000000002-2000i2−i2−22−22i2−i2000000000
χ512-22-2200-2222-22-2-2-2000−2i2i−i2i2−i2i22−22−2-2-200002222−2−222−2−200000000−2i2i−2i2i2−22−2−i2i2−i2i2−i2i2−i2i22i−2i2i−2i000000000000-22000i2−i2−22−22i2−i2000000000
χ522-22-2200-2222-22-2-2-2000−2i2i−i2i2−i2i22−22−2-2-200002222−2−222−2−200000000−2i2i−2i2i2−22−2−i2i2−i2i2−i2i2−i2i2−2i2i−2i2i0000000000002-2000−i2i22−22−2−i2i2000000000
χ532-22-2-2002222-22-2-2-22-20002−2−222−2−22220000-2-222−2−222−2−2002-22-2000000−22−222−2−222−2−222i−2i−2i2i0000000000000002i−2ii2−i2−i2i2i2−i2−i2i2000000000
χ542-22-2-2002222-22-2-2-22-20002−2−222−2−22220000-2-222−2−222−2−2002-22-2000000−22−222−2−222−2−22−2i2i2i−2i000000000000000−2i2i−i2i2i2−i2−i2i2i2−i2000000000
χ552-22-2-2002222-22-2-2-22-2000−222−2−222−2220000-2-2−2−222−2−222002-22-20000002−22−2−222−2−222−22i−2i−2i2i0000000000000002i−2i−i2i2i2−i2−i2i2i2−i2000000000
χ562-22-2-2002222-22-2-2-22-2000−222−2−222−2220000-2-2−2−222−2−222002-22-20000002−22−2−222−2−222−2−2i2i2i−2i000000000000000−2i2ii2−i2−i2i2i2−i2−i2i2000000000
χ572-22-2-2002222-22-2-2-2-220002−2−22−222−2220000-2-2−2−222−2−22200-22-220000002−22−22−2−222−2−222i−2i−2i2i000000000000000−2i2i−i2i2−i2i2i2−i2i2−i2000000000
χ582-22-2-2002222-22-2-2-2-220002−2−22−222−2220000-2-2−2−222−2−22200-22-220000002−22−22−2−222−2−22−2i2i2i−2i0000000000000002i−2ii2−i2i2−i2−i2i2−i2i2000000000
χ592-22-2-2002222-22-2-2-2-22000−222−22−2−22220000-2-222−2−222−2−200-22-22000000−22−22−222−2−222−22i−2i−2i2i000000000000000−2i2ii2−i2i2−i2−i2i2−i2i2000000000
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χ984-4-4404-40−1−5−1+51+51+51−51−5−1−5−1+50000000000000001+51−5−1−5−1+5002ζ4−2ζ36−2ζ4+2ζ362ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ282ζ12−2ζ28−2ζ12+2ζ28−222200000000000000000000000000000−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ3700000000000000000000000
χ994-4-440-44044-4-4-4-44400000000000000044-4-4000000000000000000000000000000000000000000000000000000000000000000022−22000
χ1004-4-440-44044-4-4-4-44400000000000000044-4-40000000000000000000000000000000000000000000000000000000000000000000−2222000
χ10188-8-8000088-88-88-8-80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10288-8-80000−2+25−2−252−25−2+252+25−2−252−252+25000000000000000000000−2ζ7−2ζ13+2ζ23+2ζ372ζ7+2ζ13−2ζ23−2ζ372ζ7+2ζ13−2ζ23−2ζ37−2ζ7−2ζ13+2ζ23+2ζ372ζ21−2ζ29−2ζ31+2ζ39−2ζ21+2ζ29+2ζ31−2ζ39−2ζ21+2ζ29+2ζ31−2ζ392ζ21−2ζ29−2ζ31+2ζ3900000000000000000000000000000000000000000000000000000000000000
χ10388-8-80000−2+25−2−252−25−2+252+25−2−252−252+250000000000000000000002ζ7+2ζ13−2ζ23−2ζ37−2ζ7−2ζ13+2ζ23+2ζ37−2ζ7−2ζ13+2ζ23+2ζ372ζ7+2ζ13−2ζ23−2ζ37−2ζ21+2ζ29+2ζ31−2ζ392ζ21−2ζ29−2ζ31+2ζ392ζ21−2ζ29−2ζ31+2ζ39−2ζ21+2ζ29+2ζ31−2ζ3900000000000000000000000000000000000000000000000000000000000000
χ10488-8-80000−2−25−2+252+25−2−252−25−2+252+252−25000000000000000000000−2ζ21+2ζ29+2ζ31−2ζ392ζ21−2ζ29−2ζ31+2ζ392ζ21−2ζ29−2ζ31+2ζ39−2ζ21+2ζ29+2ζ31−2ζ39−2ζ7−2ζ13+2ζ23+2ζ372ζ7+2ζ13−2ζ23−2ζ372ζ7+2ζ13−2ζ23−2ζ37−2ζ7−2ζ13+2ζ23+2ζ3700000000000000000000000000000000000000000000000000000000000000
χ10588-8-80000−2−25−2+252+25−2−252−25−2+252+252−250000000000000000000002ζ21−2ζ29−2ζ31+2ζ39−2ζ21+2ζ29+2ζ31−2ζ39−2ζ21+2ζ29+2ζ31−2ζ392ζ21−2ζ29−2ζ31+2ζ392ζ7+2ζ13−2ζ23−2ζ37−2ζ7−2ζ13+2ζ23+2ζ37−2ζ7−2ζ13+2ζ23+2ζ372ζ7+2ζ13−2ζ23−2ζ3700000000000000000000000000000000000000000000000000000000000000
χ1068-8-880-880−2+25−2−252−252−252+252+25−2+25−2−25000000000000000−2+25−2−252−252+25000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-8-880-880−2−25−2+252+252+252−252−25−2−25−2+25000000000000000−2−25−2+252+252−25000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.