Finite Group Databasebeta

← Group #11664909

Character table — Group #11664909

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size11111111222222222222222222224444444444446666666666666666888888888888242424241111111122222222222222222222444444444444666666666666666688888888888824242424
order12224444344446668888888812121212121212122424242424242424224444448888888824446612121212121224442222444464444666888888881212121212121212242424242424242422444444888888882444661212121212122444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-111-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-111-1
χ61111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-1-111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-1-11
χ71111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-11-1-111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-11-1-11
χ81111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-111-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-111-1
χ91111-1-1-1-11-1-1111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-11-11-111-1-111-1-111-1-11111-1-1-1-11-1-1111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-11-11-111-1-111-1-111-1-1
χ101111-1-1-1-11-1-1111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1-11-11-1-111-1-111-1-1111111-1-1-1-11-1-1111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1-11-11-1-111-1-111-1-111
χ111111-1-1-1-11-1-1111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111-11-111-1-111-1-1-1-1111111-1-1-1-11-1-1111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111-11-111-1-111-1-1-1-111
χ121111-1-1-1-11-1-1111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-11-11-1-111-1-11111-1-11111-1-1-1-11-1-1111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-11-11-1-111-1-11111-1-1
χ131111-1-1-1-11-1-111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-1111-1-1-1-111-11-111111-1-1-1-11-1-111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-1111-1-1-1-111-11-11
χ141111-1-1-1-11-1-111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-111-1-1-11111-1-11-11-11111-1-1-1-11-1-111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-111-1-1-11111-1-11-11-1
χ151111-1-1-1-11-1-111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-11-1-1111-1-1-1-1111-11-11111-1-1-1-11-1-111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-11-1-1111-1-1-1-1111-11-1
χ161111-1-1-1-11-1-111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-111-1-1-11111-1-1-11-111111-1-1-1-11-1-111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-111-1-1-11111-1-1-11-11
χ17222222222-2-2-2-2222000000002222-2-2-2-20000000022-2-222-2-2000000000000000000000000222222222-2-2-2-2222000000002222-2-2-2-20000000022-2-222-2-2000000000000000000000000
χ18222222222-2-2-2-2222000000002222-2-2-2-200000000-2-222-2-222000000000000000000000000222222222-2-2-2-2222000000002222-2-2-2-200000000-2-222-2-222000000000000000000000000
χ1922222222-12222-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000002222-1-1-1-1-1-1-1-1000022222222-12222-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000002222-1-1-1-1-1-1-1-10000
χ2022222222-12222-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-2-2-211111111000022222222-12222-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-2-2-2111111110000
χ2122222222-12222-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111000000000000000022-2-2-1-1-1-11111000022222222-12222-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111000000000000000022-2-2-1-1-1-111110000
χ2222222222-12222-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111110000000000000000-2-2221111-1-1-1-1000022222222-12222-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111110000000000000000-2-2221111-1-1-1-10000
χ232222-2-2-2-2222-2-222200000000-2-2-2-222-2-20000000022-2-2-2-2220000000000000000000000002222-2-2-2-2222-2-222200000000-2-2-2-222-2-20000000022-2-2-2-222000000000000000000000000
χ242222-2-2-2-2222-2-222200000000-2-2-2-222-2-200000000-2-22222-2-20000000000000000000000002222-2-2-2-2222-2-222200000000-2-2-2-222-2-200000000-2-22222-2-2000000000000000000000000
χ252222-2-2-2-2-1-2-222-1-1-12222-2-2-2-2111111-1-1-1-1-1-1111100000000000000002-22-2-1-111-1-11100002222-2-2-2-2-1-2-222-1-1-12222-2-2-2-2111111-1-1-1-1-1-1111100000000000000002-22-2-1-111-1-1110000
χ262222-2-2-2-2-1-2-222-1-1-12222-2-2-2-2111111-1-1-1-1-1-111110000000000000000-22-2211-1-111-1-100002222-2-2-2-2-1-2-222-1-1-12222-2-2-2-2111111-1-1-1-1-1-111110000000000000000-22-2211-1-111-1-10000
χ272222-2-2-2-2-1-2-222-1-1-1-2-2-2-22222111111-1-11111-1-1-1-100000000000000002-2-22-1-11111-1-100002222-2-2-2-2-1-2-222-1-1-1-2-2-2-22222111111-1-11111-1-1-1-100000000000000002-2-22-1-11111-1-10000
χ282222-2-2-2-2-1-2-222-1-1-1-2-2-2-22222111111-1-11111-1-1-1-10000000000000000-222-211-1-1-1-11100002222-2-2-2-2-1-2-222-1-1-1-2-2-2-22222111111-1-11111-1-1-1-10000000000000000-222-211-1-1-1-1110000
χ2922-2-222-2-2200002-2-2−i2−i2i2i2−i2−i2i2i222-2-20000−i2−i2i2i2−i2−i2i2i2002i−2i002i−2i22−2−222−2−2000000000000000022-2-222-2-2200002-2-2−i2−i2i2i2−i2−i2i2i222-2-20000−i2−i2i2i2−i2−i2i2i2002i−2i002i−2i22−2−222−2−20000000000000000
χ3022-2-222-2-2200002-2-2−i2−i2i2i2−i2−i2i2i222-2-20000−i2−i2i2i2−i2−i2i2i200−2i2i00−2i2i−2−222−2−222000000000000000022-2-222-2-2200002-2-2−i2−i2i2i2−i2−i2i2i222-2-20000−i2−i2i2i2−i2−i2i2i200−2i2i00−2i2i−2−222−2−2220000000000000000
χ3122-2-222-2-2200002-2-2i2i2−i2−i2i2i2−i2−i222-2-20000i2i2−i2−i2i2i2−i2−i2002i−2i002i−2i−2−222−2−222000000000000000022-2-222-2-2200002-2-2i2i2−i2−i2i2i2−i2−i222-2-20000i2i2−i2−i2i2i2−i2−i2002i−2i002i−2i−2−222−2−2220000000000000000
χ3222-2-222-2-2200002-2-2i2i2−i2−i2i2i2−i2−i222-2-20000i2i2−i2−i2i2i2−i2−i200−2i2i00−2i2i22−2−222−2−2000000000000000022-2-222-2-2200002-2-2i2i2−i2−i2i2i2−i2−i222-2-20000i2i2−i2−i2i2i2−i2−i200−2i2i00−2i2i22−2−222−2−20000000000000000
χ3322-2-2-2-222200002-2-2−i2−i2i2i2i2i2−i2−i2-2-2220000−i2−i2i2i2i2i2−i2−i2002i−2i00−2i2i22−2−2−2−222000000000000000022-2-2-2-222200002-2-2−i2−i2i2i2i2i2−i2−i2-2-2220000−i2−i2i2i2i2i2−i2−i2002i−2i00−2i2i22−2−2−2−2220000000000000000
χ3422-2-2-2-222200002-2-2−i2−i2i2i2i2i2−i2−i2-2-2220000−i2−i2i2i2i2i2−i2−i200−2i2i002i−2i−2−22222−2−2000000000000000022-2-2-2-222200002-2-2−i2−i2i2i2i2i2−i2−i2-2-2220000−i2−i2i2i2i2i2−i2−i200−2i2i002i−2i−2−22222−2−20000000000000000
χ3522-2-2-2-222200002-2-2i2i2−i2−i2−i2−i2i2i2-2-2220000i2i2−i2−i2−i2−i2i2i2002i−2i00−2i2i−2−22222−2−2000000000000000022-2-2-2-222200002-2-2i2i2−i2−i2−i2−i2i2i2-2-2220000i2i2−i2−i2−i2−i2i2i2002i−2i00−2i2i−2−22222−2−20000000000000000
χ3622-2-2-2-222200002-2-2i2i2−i2−i2−i2−i2i2i2-2-2220000i2i2−i2−i2−i2−i2i2i200−2i2i002i−2i22−2−2−2−222000000000000000022-2-2-2-222200002-2-2i2i2−i2−i2−i2−i2i2i2-2-2220000i2i2−i2−i2−i2−i2i2i200−2i2i002i−2i22−2−2−2−2220000000000000000
χ372-22-22i−2i2i−2i20000-22-22−22−2−i2i2−i2i22i−2i2i−2i00002−22−2−i2i2−i2i22-2002i−2i002−22−2−i2i2−i2i200000000000000002-22-22i−2i2i−2i20000-22-22−22−2−i2i2−i2i22i−2i2i−2i00002−22−2−i2i2−i2i22-2002i−2i002−22−2−i2i2−i2i20000000000000000
χ382-22-22i−2i2i−2i20000-22-22−22−2−i2i2−i2i22i−2i2i−2i00002−22−2−i2i2−i2i2-2200−2i2i00−22−22i2−i2i2−i200000000000000002-22-22i−2i2i−2i20000-22-22−22−2−i2i2−i2i22i−2i2i−2i00002−22−2−i2i2−i2i2-2200−2i2i00−22−22i2−i2i2−i20000000000000000
χ392-22-22i−2i2i−2i20000-22-2−22−22i2−i2i2−i22i−2i2i−2i0000−22−22i2−i2i2−i22-2002i−2i00−22−22i2−i2i2−i200000000000000002-22-22i−2i2i−2i20000-22-2−22−22i2−i2i2−i22i−2i2i−2i0000−22−22i2−i2i2−i22-2002i−2i00−22−22i2−i2i2−i20000000000000000
χ402-22-22i−2i2i−2i20000-22-2−22−22i2−i2i2−i22i−2i2i−2i0000−22−22i2−i2i2−i2-2200−2i2i002−22−2−i2i2−i2i200000000000000002-22-22i−2i2i−2i20000-22-2−22−22i2−i2i2−i22i−2i2i−2i0000−22−22i2−i2i2−i2-2200−2i2i002−22−2−i2i2−i2i20000000000000000
χ412-22-2−2i2i−2i2i20000-22-22−22−2i2−i2i2−i2−2i2i−2i2i00002−22−2i2−i2i2−i22-200−2i2i002−22−2i2−i2i2−i200000000000000002-22-2−2i2i−2i2i20000-22-22−22−2i2−i2i2−i2−2i2i−2i2i00002−22−2i2−i2i2−i22-200−2i2i002−22−2i2−i2i2−i20000000000000000
χ422-22-2−2i2i−2i2i20000-22-22−22−2i2−i2i2−i2−2i2i−2i2i00002−22−2i2−i2i2−i2-22002i−2i00−22−22−i2i2−i2i200000000000000002-22-2−2i2i−2i2i20000-22-22−22−2i2−i2i2−i2−2i2i−2i2i00002−22−2i2−i2i2−i2-22002i−2i00−22−22−i2i2−i2i20000000000000000
χ432-22-2−2i2i−2i2i20000-22-2−22−22−i2i2−i2i2−2i2i−2i2i0000−22−22−i2i2−i2i22-200−2i2i00−22−22−i2i2−i2i200000000000000002-22-2−2i2i−2i2i20000-22-2−22−22−i2i2−i2i2−2i2i−2i2i0000−22−22−i2i2−i2i22-200−2i2i00−22−22−i2i2−i2i20000000000000000
χ442-22-2−2i2i−2i2i20000-22-2−22−22−i2i2−i2i2−2i2i−2i2i0000−22−22−i2i2−i2i2-22002i−2i002−22−2i2−i2i2−i200000000000000002-22-2−2i2i−2i2i20000-22-2−22−22−i2i2−i2i2−2i2i−2i2i0000−22−22−i2i2−i2i2-22002i−2i002−22−2i2−i2i2−i20000000000000000
χ452-2-222i−2i−2i2i22i−2i2-2-2-22000000002i−2i−2i2i2i−2i2-200000000000000002-2-22−2i2i2i−2i00000000000000002-2-222i−2i−2i2i22i−2i2-2-2-22000000002i−2i−2i2i2i−2i2-200000000000000002-2-22−2i2i2i−2i0000000000000000
χ462-2-222i−2i−2i2i22i−2i2-2-2-22000000002i−2i−2i2i2i−2i2-20000000000000000-222-22i−2i−2i2i00000000000000002-2-222i−2i−2i2i22i−2i2-2-2-22000000002i−2i−2i2i2i−2i2-20000000000000000-222-22i−2i−2i2i0000000000000000
χ472-2-222i−2i−2i2i2−2i2i-22-2-222i−2i−2i2i2-2-222i−2i−2i2i−2i2i-222i−2i−2i2i2-2-22000000000000000000000000000000002-2-222i−2i−2i2i2−2i2i-22-2-222i−2i−2i2i2-2-222i−2i−2i2i−2i2i-222i−2i−2i2i2-2-2200000000000000000000000000000000
χ482-2-222i−2i−2i2i2−2i2i-22-2-22−2i2i2i−2i-222-22i−2i−2i2i−2i2i-22−2i2i2i−2i-222-2000000000000000000000000000000002-2-222i−2i−2i2i2−2i2i-22-2-22−2i2i2i−2i-222-22i−2i−2i2i−2i2i-22−2i2i2i−2i-222-200000000000000000000000000000000
χ492-2-222i−2i−2i2i-1−2i2i-2211-12i−2i−2i2i2-2-22−iii−ii−i1-1−iii−i-111-100000000000000000000−i3i33−33−3−i3i300002-2-222i−2i−2i2i-1−2i2i-2211-12i−2i−2i2i2-2-22−iii−ii−i1-1−iii−i-111-100000000000000000000−i3i33−33−3−i3i30000
χ502-2-222i−2i−2i2i-1−2i2i-2211-12i−2i−2i2i2-2-22−iii−ii−i1-1−iii−i-111-100000000000000000000i3−i3−33−33i3−i300002-2-222i−2i−2i2i-1−2i2i-2211-12i−2i−2i2i2-2-22−iii−ii−i1-1−iii−i-111-100000000000000000000i3−i3−33−33i3−i30000
χ512-2-222i−2i−2i2i-1−2i2i-2211-1−2i2i2i−2i-222-2−iii−ii−i1-1i−i−ii1-1-1100000000000000000000−i3i33−3−33i3−i300002-2-222i−2i−2i2i-1−2i2i-2211-1−2i2i2i−2i-222-2−iii−ii−i1-1i−i−ii1-1-1100000000000000000000−i3i33−3−33i3−i30000
χ522-2-222i−2i−2i2i-1−2i2i-2211-1−2i2i2i−2i-222-2−iii−ii−i1-1i−i−ii1-1-1100000000000000000000i3−i3−333−3−i3i300002-2-222i−2i−2i2i-1−2i2i-2211-1−2i2i2i−2i-222-2−iii−ii−i1-1i−i−ii1-1-1100000000000000000000i3−i3−333−3−i3i30000
χ532-2-22−2i2i2i−2i22i−2i-22-2-222i−2i−2i2i-222-2−2i2i2i−2i2i−2i-222i−2i−2i2i-222-2000000000000000000000000000000002-2-22−2i2i2i−2i22i−2i-22-2-222i−2i−2i2i-222-2−2i2i2i−2i2i−2i-222i−2i−2i2i-222-200000000000000000000000000000000
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χ1424-44-4−4i4i−4i4i-200002-22−2222−2222−2i22i2−2i22i22i−2i2i−2i00002−22−2i2−i2i2−i200000000000000000000000000000000-44-444i−4i4i−4i20000-22-222−2222−222i2−2i22i2−2i2−2i2i−2i2i0000−22−22−i2i2−i2i200000000000000000000000000000000
χ1434-4-444i−4i−4i4i-24i−4i4-422-200000000−2i2i2i−2i−2i2i-220000000000000000000000000000000000000000-444-4−4i4i4i−4i2−4i4i-44-2-22000000002i−2i−2i2i2i−2i2-20000000000000000000000000000000000000000
χ1444-4-44−4i4i4i−4i-2−4i4i4-422-2000000002i−2i−2i2i2i−2i-220000000000000000000000000000000000000000-444-44i−4i−4i4i24i−4i-44-2-2200000000−2i2i2i−2i−2i2i2-20000000000000000000000000000000000000000

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