Finite Group Databasebeta

← Group #10814913

Character table — Group #10814913

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size11111111222222222222222222222222222222224444444444444444444444444444444444444466666666888888888888888888881212121212121212121212122424242424242424
order12222222344444444666666688888888121212121212121244444444448888121212121212121224242424242424242424242424242424444444442244666612121212121212121212121244448888888844444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ7111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ8111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1
χ91111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-111-1-111-1-1
χ101111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-11111-1-111-1-111
χ111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-111-1-111
χ121111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-111-1-1
χ131111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-111
χ141111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-1111111-1-1-1-1-1-11111-1-1
χ151111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-11111-1-1
χ161111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111
χ171111-1-1-1-11-111-1-111-1-1-1-1-11111111-1-1-1-11111-1-1-1-11-111-1-111-1-111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1ii−i−iii−i−i1-11-111-1-111-1-111-1-111-1-1i−ii−iii−i−iii−i−ii−ii−ii−ii−i
χ181111-1-1-1-11-111-1-111-1-1-1-1-11111111-1-1-1-11111-1-1-1-11-111-1-111-1-111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1−i−iii−i−iii1-11-111-1-111-1-111-1-111-1-1−ii−ii−i−iii−i−iii−ii−ii−ii−ii
χ191111-1-1-1-11-111-1-111-1-1-1-1-11111111-1-1-1-11111-1-1-1-11-1-1-111-1-11111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1ii−i−iii−i−i-11-11-1-111-1-111-1-111-1-111i−ii−iii−i−iii−i−i−ii−ii−ii−ii
χ201111-1-1-1-11-111-1-111-1-1-1-1-11111111-1-1-1-11111-1-1-1-11-1-1-111-1-11111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1−i−iii−i−iii-11-11-1-111-1-111-1-111-1-111−ii−ii−i−iii−i−iiii−ii−ii−ii−i
χ211111-1-1-1-11-111-1-111-1-1-1-1-1111-1-1-1-111111111-1-1-1-11-111-1-1-1-111-1-111-1-111-1-111-1-1-1-11111-1-1-1-11111ii−i−iii−i−i1-1-1111-1-111-1-1-1-111-1-111i−ii−i−i−iii−i−iiii−ii−i−ii−ii
χ221111-1-1-1-11-111-1-111-1-1-1-1-1111-1-1-1-111111111-1-1-1-11-111-1-1-1-111-1-111-1-111-1-111-1-1-1-11111-1-1-1-11111−i−iii−i−iii1-1-1111-1-111-1-1-1-111-1-111−ii−iiii−i−iii−i−i−ii−iii−ii−i
χ231111-1-1-1-11-111-1-111-1-1-1-1-1111-1-1-1-111111111-1-1-1-11-1-1-11111-1-1-1-111-1-111-1-111-1-1-1-11111-1-1-1-11111ii−i−iii−i−i-111-1-1-111-1-11111-1-111-1-1i−ii−i−i−iii−i−iii−ii−iii−ii−i
χ241111-1-1-1-11-111-1-111-1-1-1-1-1111-1-1-1-111111111-1-1-1-11-1-1-11111-1-1-1-111-1-111-1-111-1-1-1-11111-1-1-1-11111−i−iii−i−iii-111-1-1-111-1-11111-1-111-1-1−ii−iiii−i−iii−i−ii−ii−i−ii−ii
χ251111-1-1-1-11-1-1-11111-1-1-1-1-11111111-1-1-1-1-1-1-1-11111-1111-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111ii−i−i−i−iii-11-11-1-11111-1-111-1-1-1-111i−i−iiii−i−i−i−iiii−i−iii−i−ii
χ261111-1-1-1-11-1-1-11111-1-1-1-1-11111111-1-1-1-1-1-1-1-11111-1111-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111−i−iiiii−i−i-11-11-1-11111-1-111-1-1-1-111−iii−i−i−iiiii−i−i−iii−i−iii−i
χ271111-1-1-1-11-1-1-11111-1-1-1-1-11111111-1-1-1-1-1-1-1-11111-11-1-111-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111ii−i−i−i−iii1-11-111-1-1-1-111-1-11111-1-1i−i−iiii−i−i−i−iii−iii−i−iii−i
χ281111-1-1-1-11-1-1-11111-1-1-1-1-11111111-1-1-1-1-1-1-1-11111-11-1-111-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111−i−iiiii−i−i1-11-111-1-1-1-111-1-11111-1-1−iii−i−i−iiiii−i−ii−i−iii−i−ii
χ291111-1-1-1-11-1-1-11111-1-1-1-1-1111-1-1-1-11111-1-1-1-11111-1111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1ii−i−i−i−iii-111-1-1-11111-1-1-1-11111-1-1i−i−ii−i−iiiii−i−ii−i−ii−iii−i
χ301111-1-1-1-11-1-1-11111-1-1-1-1-1111-1-1-1-11111-1-1-1-11111-1111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1−i−iiiii−i−i-111-1-1-11111-1-1-1-11111-1-1−iii−iii−i−i−i−iii−iii−ii−i−ii
χ311111-1-1-1-11-1-1-11111-1-1-1-1-1111-1-1-1-11111-1-1-1-11111-11-1-11111-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1ii−i−i−i−iii1-1-1111-1-1-1-11111-1-1-1-111i−i−ii−i−iiiii−i−i−iii−ii−i−ii
χ321111-1-1-1-11-1-1-11111-1-1-1-1-1111-1-1-1-11111-1-1-1-11111-11-1-11111-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1−i−iiiii−i−i1-1-1111-1-1-1-11111-1-1-1-111−iii−iii−i−i−i−iiii−i−ii−iii−i
χ33222222222-22222-2-2-222222220000000022222222-2-2000000000000-2-2-2-2-2-2-2-200000000000000002222222200000000000000000000-2-2-2-20000000000000000
χ34222222222-22222-2-2-222222220000000022222222-2-2000000000000-2-2-2-2-2-2-2-20000000000000000-2-2-2-2-2-2-2-20000000000000000000022220000000000000000
χ35222222222-2-2-2-2-2-2-2-2222222200000000-2-2-2-2-2-2-2-222000000000000-2-22222-2-200000000000000002222-2-2-2-200000000000000000000-2-2220000000000000000
χ36222222222-2-2-2-2-2-2-2-2222222200000000-2-2-2-2-2-2-2-222000000000000-2-22222-2-20000000000000000-2-2-2-222220000000000000000000022-2-20000000000000000
χ3722222222-122222222-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-122222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000002222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000
χ3822222222-122222222-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-122-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-2111111111111111100000000000000000000
χ3922222222-122222222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111111111110000000022-2-2-1-1-1-1-1-1-1-11111111100000000000000000000
χ4022222222-122222222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-122-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-1-1111111111111111100000000-2-22211111111-1-1-1-1-1-1-1-100000000000000000000
χ4122222222-12-2-2-2-2222-1-1-1-1-1-1-12222222211111111-2-222222222-2-2-2-2-1-11111-1-1-1-1-1-1-1-1-1-11111111100000000-2-2-2-21111-1-1-1-1-1-1-1-1111100000000000000000000
χ4222222222-12-2-2-2-2222-1-1-1-1-1-1-12222222211111111-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-11111-1-1-1-1-1-1-1-1-1-111111111000000002222-1-1-1-111111111-1-1-1-100000000000000000000
χ4322222222-12-2-2-2-2222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111-2-22222-2-2-2-22222-1-11111-1-111111111-1-1-1-1-1-1-1-100000000-2-2221111-1-1-1-11111-1-1-1-100000000000000000000
χ4422222222-12-2-2-2-2222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111-2-2-2-2-2-222222222-1-11111-1-111111111-1-1-1-1-1-1-1-10000000022-2-2-1-1-1-11111-1-1-1-1111100000000000000000000
χ452222-2-2-2-22222-2-2-2-22-2-2-2-2222000000002222-2-2-2-2-2200000000000022-2-222-2-200000000000000002i2i−2i−2i2i2i−2i−2i00000000000000000000−2i2i−2i2i0000000000000000
χ462222-2-2-2-22222-2-2-2-22-2-2-2-2222000000002222-2-2-2-2-2200000000000022-2-222-2-20000000000000000−2i−2i2i2i−2i−2i2i2i000000000000000000002i−2i2i−2i0000000000000000
χ472222-2-2-2-222-2-222-2-22-2-2-2-222200000000-2-2-2-222222-20000000000002222-2-2-2-200000000000000002i2i−2i−2i−2i−2i2i2i00000000000000000000−2i2i2i−2i0000000000000000
χ482222-2-2-2-222-2-222-2-22-2-2-2-222200000000-2-2-2-222222-20000000000002222-2-2-2-20000000000000000−2i−2i2i2i2i2i−2i−2i000000000000000000002i−2i−2i2i0000000000000000
χ492222-2-2-2-2-1-222-2-222-21111-1-1-12222-2-2-2-2-1-1-1-111112-222-2-222-2-222-2-211-1-111-1-1-1-1-1-11111-1-1-1-11111000000002-22-2-1-111-1-111-1-111-1-11100000000000000000000
χ502222-2-2-2-2-1-222-2-222-21111-1-1-12222-2-2-2-2-1-1-1-111112-2-2-222-2-22222-2-211-1-111-1-1-1-1-1-11111-1-1-1-1111100000000-22-2211-1-111-1-111-1-111-1-100000000000000000000
χ512222-2-2-2-2-1-222-2-222-21111-1-1-1-2-2-2-22222-1-1-1-111112-222-2-2-2-222-2-22211-1-111-1-11111-1-1-1-11111-1-1-1-1000000002-2-22-1-111-1-11111-1-111-1-100000000000000000000
χ522222-2-2-2-2-1-222-2-222-21111-1-1-1-2-2-2-22222-1-1-1-111112-2-2-22222-2-2-2-22211-1-111-1-11111-1-1-1-11111-1-1-1-100000000-222-211-1-111-1-1-1-111-1-11100000000000000000000
χ532222-2-2-2-2-1-2-2-22222-21111-1-1-12222-2-2-2-21111-1-1-1-1-2222-2-222-2-2-2-2221111-1-1-1-1-1-1-1-111111111-1-1-1-100000000-22-2211-1-1-1-111-1-11111-1-100000000000000000000
χ542222-2-2-2-2-1-2-2-22222-21111-1-1-12222-2-2-2-21111-1-1-1-1-22-2-222-2-222-2-2221111-1-1-1-1-1-1-1-111111111-1-1-1-1000000002-22-2-1-11111-1-111-1-1-1-11100000000000000000000
χ552222-2-2-2-2-1-2-2-22222-21111-1-1-1-2-2-2-222221111-1-1-1-1-2222-2-2-2-22222-2-21111-1-1-1-11111-1-1-1-1-1-1-1-1111100000000-222-211-1-1-1-11111-1-1-1-11100000000000000000000
χ562222-2-2-2-2-1-2-2-22222-21111-1-1-1-2-2-2-222221111-1-1-1-1-22-2-22222-2-222-2-21111-1-1-1-11111-1-1-1-1-1-1-1-11111000000002-2-22-1-11111-1-1-1-11111-1-100000000000000000000
χ5722-2-222-2-22-200002-2222-2-22-2-222-2-222-2-200000000002i−2i2i−2i2i−2i2i−2i00002-200002-222-2-222-2-20000000000000000000000002i−2i2i−2i2i−2i2i−2i000000000000000000000000
χ5822-2-222-2-22-200002-2222-2-22-2-222-2-222-2-20000000000−2i2i−2i2i−2i2i−2i2i00002-200002-222-2-222-2-2000000000000000000000000−2i2i−2i2i−2i2i−2i2i000000000000000000000000
χ5922-2-222-2-22-200002-2222-2-22-2-2-2-222-2-22200000000002i−2i2i−2i−2i2i−2i2i00002-200002-2-2-222-2-2220000000000000000000000002i−2i2i−2i−2i2i−2i2i000000000000000000000000
χ6022-2-222-2-22-200002-2222-2-22-2-2-2-222-2-2220000000000−2i2i−2i2i2i−2i2i−2i00002-200002-2-2-222-2-222000000000000000000000000−2i2i−2i2i2i−2i2i−2i000000000000000000000000
χ6122-2-222-2-2-1-200002-22-1-111-11122-2-222-2-233−3−333−3−3002i−2i2i−2i2i−2i2i−2i0000-113−33−3-11-1-111-1-11133−3−333−3−3000000000000−i3i3−i3i3−ii−ii−ii−ii−i3i3−i3i300000000000000000000
χ6222-2-222-2-2-1-200002-22-1-111-11122-2-222-2-233−3−333−3−300−2i2i−2i2i−2i2i−2i2i0000-113−33−3-11-1-111-1-11133−3−333−3−3000000000000i3−i3i3−i3i−ii−ii−ii−ii3−i3i3−i300000000000000000000
χ6322-2-222-2-2-1-200002-22-1-111-11122-2-222-2-2−3−333−3−333002i−2i2i−2i2i−2i2i−2i0000-11−33−33-11-1-111-1-111−3−333−3−333000000000000i3−i3i3−i3−ii−ii−ii−iii3−i3i3−i300000000000000000000
χ6422-2-222-2-2-1-200002-22-1-111-11122-2-222-2-2−3−333−3−33300−2i2i−2i2i−2i2i−2i2i0000-11−33−33-11-1-111-1-111−3−333−3−333000000000000−i3i3−i3i3i−ii−ii−ii−i−i3i3−i3i300000000000000000000
χ6522-2-222-2-2-1-200002-22-1-111-111-2-222-2-22233−3−333−3−3002i−2i2i−2i−2i2i−2i2i0000-113−33−3-1111-1-111-1-1−3−333−3−333000000000000−i3i3−i3i3−ii−iii−ii−ii3−i3i3−i300000000000000000000
χ6622-2-222-2-2-1-200002-22-1-111-111-2-222-2-22233−3−333−3−300−2i2i−2i2i2i−2i2i−2i0000-113−33−3-1111-1-111-1-1−3−333−3−333000000000000i3−i3i3−i3i−ii−i−ii−ii−i3i3−i3i300000000000000000000
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Here i is the imaginary unit (i² = −1).