Finite Group Databasebeta

← Group #11784085

Character table — Group #11784085

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size11111111222222222222222222223333333344444444444444444444444444446666666666666666666688888888888888881212121212121212121212121212121212121212121212121212121218181818181818182424242436363636
order122244442233446666661212121212121212888888883666666688881212121212121212242424242424242444444444888824242424242424246612122424242424242424242424242244444466661212121212121212121212122424242488888888121212128888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ71111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ91111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1iiii−i−i−i−i1-1-1-1111-1ii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iii−i−iiiii−i−i−i−i-1-111ii−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-1iiii−i−i−i−iii−i−i1111-1-1-1-111-1-1ii−i−i
χ101111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1iiii−i−i−i−i1-1-1-1111-1ii−i−i1111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiiiii−i−iiiii−i−i−i−i-1-111ii−i−iiiii−i−i−i−i11-1-111-1-11111-1-1-1-1−i−i−i−iiiiiii−i−i-1-1-1-11111-1-111−i−iii
χ111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1iiii−i−i−i−i1-1-1-1111-1−i−iii1111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−iii−i−iiiii−i−i−i−i-1-111−i−iii−i−i−i−iiiii-1-1-1-11111-1-1-1-11111iiii−i−i−i−iii−i−i1111-1-1-1-1-1-111−i−iii
χ121111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1iiii−i−i−i−i1-1-1-1111-1−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiiiii−i−iiiii−i−i−i−i-1-111−i−iii−i−i−i−iiiii-1-111-1-111-1-1-1-11111−i−i−i−iiiiiii−i−i-1-1-1-1111111-1-1ii−i−i
χ131111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii1-1-1-1111-1ii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i−i−iii−i−i−i−iiiii-1-111ii−i−iiiii−i−i−i−i-1-111-1-111-1-1-1-11111iiii−i−i−i−i−i−iii-1-1-1-1111111-1-1−i−iii
χ141111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii1-1-1-1111-1ii−i−i1111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii−i−iii−i−i−i−iiiii-1-111ii−i−iiiii−i−i−i−i-1-1-1-11111-1-1-1-11111−i−i−i−iiiii−i−iii1111-1-1-1-1-1-111ii−i−i
χ151111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii1-1-1-1111-1−i−iii1111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i−i−iii−i−i−i−iiiii-1-111−i−iii−i−i−i−iiiii11-1-111-1-11111-1-1-1-1iiii−i−i−i−i−i−iii-1-1-1-11111-1-111ii−i−i
χ161111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii1-1-1-1111-1−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−i−i−iiiii-1-111−i−iii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−iii1111-1-1-1-111-1-1−i−iii
χ171-1-1111-1-11-1111-1-1-11-1-11-1-1-1-1111111-1-111-1-1111-1-1-11-11-11-11-11-1-1-11111-1-111-1-1ii−i−iii−i−i1-11-111-1-111-1-11-11-11-11-111-1-111-1-11-1i−ii−i1-111-1-111-1-1ii−i−iii−i−i1-11-1ii−i−iii−i−ii−ii−ii−ii−i
χ181-1-1111-1-11-1111-1-1-11-1-11-1-1-1-1111111-1-111-1-1111-1-1-11-11-11-11-11-1-1-11111-1-111-1-1−i−iii−i−iii1-11-111-1-111-1-11-11-11-11-111-1-111-1-11-1−ii−ii1-111-1-111-1-1−i−iii−i−iii1-11-1−i−iii−i−iii−ii−ii−ii−ii
χ191-1-1111-1-11-1111-1-1-11-1-11-1-1-1-1111111-1-111-1-1111-1-1-11-1-11-111-11-1-1-111-1-111-1-111ii−i−iii−i−i1-11-111-1-111-1-11-11-1-11-11-1-111-1-111-11−ii−ii-11-1-111-1-111ii−i−iii−i−i1-11-1ii−i−iii−i−i−ii−ii−ii−ii
χ201-1-1111-1-11-1111-1-1-11-1-11-1-1-1-1111111-1-111-1-1111-1-1-11-1-11-111-11-1-1-111-1-111-1-111−i−iii−i−iii1-11-111-1-111-1-11-11-1-11-11-1-111-1-111-11i−ii−i-11-1-111-1-111−i−iii−i−iii1-11-1−i−iii−i−iiii−ii−ii−ii−i
χ211-1-1111-1-11-1111-1-1-11-1-11-1-1-1-11111-1-111-1-111111-1-1-11-11-11-11-11-1-1-11111-1-111-1-1ii−i−iii−i−i-11-11-1-111-1-1111-11-11-11-111-1-111-1-1-11i−ii−i-11-1-111-1-111ii−i−iii−i−i-11-11−i−iii−i−iiii−ii−i−ii−ii
χ221-1-1111-1-11-1111-1-1-11-1-11-1-1-1-11111-1-111-1-111111-1-1-11-11-11-11-11-1-1-11111-1-111-1-1−i−iii−i−iii-11-11-1-111-1-1111-11-11-11-111-1-111-1-1-11−ii−ii-11-1-111-1-111−i−iii−i−iii-11-11ii−i−iii−i−i−ii−iii−ii−i
χ231-1-1111-1-11-1111-1-1-11-1-11-1-1-1-11111-1-111-1-111111-1-1-11-1-11-111-11-1-1-111-1-111-1-111ii−i−iii−i−i-11-11-1-111-1-1111-11-1-11-11-1-111-1-1111-1−ii−ii1-111-1-111-1-1ii−i−iii−i−i-11-11−i−iii−i−iii−ii−iii−ii−i
χ241-1-1111-1-11-1111-1-1-11-1-11-1-1-1-11111-1-111-1-111111-1-1-11-1-11-111-11-1-1-111-1-111-1-111−i−iii−i−iii-11-11-1-111-1-1111-11-1-11-11-1-111-1-1111-1i−ii−i1-111-1-111-1-1−i−iii−i−iii-11-11ii−i−iii−i−ii−ii−i−ii−ii
χ251-1-11-1-111-11111-1-1-11-1-111111-1-1-1-1ii−i−i−i−iii1-1-11-1-111i−i−ii1-11-111-1-1ii−i−i−i−iii11-1-1-1-111i−i−iiii−i−i−i−iii-111-1i−i−iiii−i−i−i−iii1-1−iii−i-1111-1-1-1-11111-1-1-1-111i−i−ii−i−iiiii−i−i−iii−i1-1-11
χ261-1-11-1-111-11111-1-1-11-1-111111-1-1-1-1ii−i−i−i−iii1-1-11-1-111i−i−ii1-11-111-1-1ii−i−i−i−iii-1-11111-1-1i−i−iiii−i−i−i−iii-111-1i−i−iiii−i−i−i−iii1-1i−i−ii-1111-1-1-1-111-1-11111-1-1i−i−iiii−i−i−i−iiii−i−ii-111-1
χ271-1-11-1-111-11111-1-1-11-1-111111-1-1-1-1ii−i−i−i−iii1-1-11-1-111−iii−i1-11-111-1-1−i−iiiii−i−i11-1-1-1-111i−i−iiii−i−i−i−iii-111-1−iii−i−i−iiiii−i−i-11i−i−ii1-1-1-11111-1-111-1-1-1-111i−i−ii−i−iiiii−i−ii−i−ii-111-1
χ281-1-11-1-111-11111-1-1-11-1-111111-1-1-1-1ii−i−i−i−iii1-1-11-1-111−iii−i1-11-111-1-1−i−iiiii−i−i-1-11111-1-1i−i−iiii−i−i−i−iii-111-1−iii−i−i−iiiii−i−i-11−iii−i1-1-1-11111-1-1-1-11111-1-1i−i−iiii−i−i−i−iii−iii−i1-1-11
χ291-1-11-1-111-11111-1-1-11-1-111111-1-1-1-1−i−iiiii−i−i1-1-11-1-111i−i−ii1-11-111-1-1ii−i−i−i−iii11-1-1-1-111−iii−i−i−iiiii−i−i-111-1i−i−iiii−i−i−i−iii-11−iii−i1-1-1-11111-1-111-1-1-1-111−iii−iii−i−i−i−iii−iii−i-111-1
χ301-1-11-1-111-11111-1-1-11-1-111111-1-1-1-1−i−iiiii−i−i1-1-11-1-111i−i−ii1-11-111-1-1ii−i−i−i−iii-1-11111-1-1−iii−i−i−iiiii−i−i-111-1i−i−iiii−i−i−i−iii-11i−i−ii1-1-1-11111-1-1-1-11111-1-1−iii−i−i−iiiii−i−ii−i−ii1-1-11
χ311-1-11-1-111-11111-1-1-11-1-111111-1-1-1-1−i−iiiii−i−i1-1-11-1-111−iii−i1-11-111-1-1−i−iiiii−i−i11-1-1-1-111−iii−i−i−iiiii−i−i-111-1−iii−i−i−iiiii−i−i1-1i−i−ii-1111-1-1-1-11111-1-1-1-111−iii−iii−i−i−i−iiii−i−ii1-1-11
χ321-1-11-1-111-11111-1-1-11-1-111111-1-1-1-1−i−iiiii−i−i1-1-11-1-111−iii−i1-11-111-1-1−i−iiiii−i−i-1-11111-1-1−iii−i−i−iiiii−i−i-111-1−iii−i−i−iiiii−i−i1-1−iii−i-1111-1-1-1-111-1-11111-1-1−iii−i−i−iiiii−i−i−iii−i-111-1
χ3322222222222-122-1-1222-122-1-122-1-122222222-12-1-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000002222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122000022-1-1-1-1-1-1-1-100000000-1-1-1-10000000000000000
χ3422222222222-122-1-1222-122-1-122-1-122222222-12-1-1-1-1-12-2-2-2-222-1-1-1-1-1-111111111000000002222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111-2-20000-2-21111111100000000-1-1-1-10000000000000000
χ3522222222222-122-1-1222-122-1-122-1-1-2-2-2-2-2-2-2-2-12-1-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-1-2-20000-2-2111111110000000011110000000000000000
χ3622222222222-122-1-1222-122-1-122-1-1-2-2-2-2-2-2-2-2-12-1-1-1-1-12-2-2-2-222-1-1-1-1-1-11111111100000000-2-2-2-211111111-1-1-1-1-2-2-2-21111111122000022-1-1-1-1-1-1-1-10000000011110000000000000000
χ372222222222-122222-1-1-12-1-122-1-12200000000-1-122-1-1-1-12222-1-122-1-1-1-12222222222222222000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10022220000000000-1-1-1-1-1-1-1-1000000000000-1-1-1-10000
χ382222222222-122222-1-1-12-1-122-1-12200000000-1-122-1-1-1-12222-1-122-1-1-1-122222222-2-2-2-2-2-2-2-2000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-200000000001111111100000000000011110000
χ392222222222-122222-1-1-12-1-122-1-12200000000-1-122-1-1-1-1-2-2-2-2-1-122-1-1-1-1-2-2-2-2-2-2-2-222222222000000000000-1-1-1-111111111111100-2-2-2-20000000000-1-1-1-1-1-1-1-100000000000011110000
χ402222222222-122222-1-1-12-1-122-1-12200000000-1-122-1-1-1-1-2-2-2-2-1-122-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000-1-1-1-1111111111111002222000000000011111111000000000000-1-1-1-10000
χ4122222222-2-222-2-222222222222222222222222-2-2-2222-20000-2-2-2-222220000000000000000-2-2-2-222222222-2-2-2-2000000000000000000000000000000000000-2-2-2-20000000000000000
χ4222222222-2-222-2-222222222222222-2-2-2-2-2-2-2-22-2-2-2222-20000-2-2-2-2222200000000000000002222-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000022220000000000000000
χ4322222222-2-22-1-2-2-1-1222-122-1-122-1-122222222-1-211-1-1-1-20000-2-211-1-1-1-1−i3i3−i3i3−i3i3−i3i300000000-2-2-2-2-1-1-1-1-1-1-1-111110000−i3i3−i3i3−i3i3−i3i300000000−i3i3−i3i3−i3i3−i3i30000000011110000000000000000
χ4422222222-2-22-1-2-2-1-1222-122-1-122-1-122222222-1-211-1-1-1-20000-2-211-1-1-1-1i3−i3i3−i3i3−i3i3−i300000000-2-2-2-2-1-1-1-1-1-1-1-111110000i3−i3i3−i3i3−i3i3−i300000000i3−i3i3−i3i3−i3i3−i30000000011110000000000000000
χ4522222222-2-22-1-2-2-1-1222-122-1-122-1-1-2-2-2-2-2-2-2-2-1-211-1-1-1-20000-2-211-1-1-1-1−i3i3−i3i3−i3i3−i3i30000000022221111111111110000−i3i3−i3i3−i3i3−i3i300000000i3−i3i3−i3i3−i3i3−i300000000-1-1-1-10000000000000000
χ4622222222-2-22-1-2-2-1-1222-122-1-122-1-1-2-2-2-2-2-2-2-2-1-211-1-1-1-20000-2-211-1-1-1-1i3−i3i3−i3i3−i3i3−i30000000022221111111111110000i3−i3i3−i3i3−i3i3−i300000000−i3i3−i3i3−i3i3−i3i300000000-1-1-1-10000000000000000
χ472222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-22i2i2i2i−2i−2i−2i−2i222222220000-2-2-2-2-2-2-2-20000000000000000−2i−2i2i2i2i2i2i2i−2i−2i−2i−2i22-2-2000000000000000000000000000000000000−2i−2i2i2i0000000000000000
χ482222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-2−2i−2i−2i−2i2i2i2i2i222222220000-2-2-2-2-2-2-2-200000000000000002i2i−2i−2i−2i−2i−2i−2i2i2i2i2i22-2-20000000000000000000000000000000000002i2i−2i−2i0000000000000000
χ492222-2-2-2-2222-1-2-2-1-1222-1-2-211-2-2112i2i2i2i−2i−2i−2i−2i-12-1-1-1-1-120000-2-21111113−33−3−33−3300000000−2i−2i2i2i−i−i−i−iiiii-1-11100003−33−3−33−3300000000−i3i3−i3i3i3−i3i3−i300000000ii−i−i0000000000000000
χ502222-2-2-2-2222-1-2-2-1-1222-1-2-211-2-2112i2i2i2i−2i−2i−2i−2i-12-1-1-1-1-120000-2-2111111−33−333−33−300000000−2i−2i2i2i−i−i−i−iiiii-1-1110000−33−333−33−300000000i3−i3i3−i3−i3i3−i3i300000000ii−i−i0000000000000000
χ512222-2-2-2-2222-1-2-2-1-1222-1-2-211-2-211−2i−2i−2i−2i2i2i2i2i-12-1-1-1-1-120000-2-21111113−33−3−33−33000000002i2i−2i−2iiiii−i−i−i−i-1-11100003−33−3−33−3300000000i3−i3i3−i3−i3i3−i3i300000000−i−iii0000000000000000
χ522222-2-2-2-2222-1-2-2-1-1222-1-2-211-2-211−2i−2i−2i−2i2i2i2i2i-12-1-1-1-1-120000-2-2111111−33−333−33−3000000002i2i−2i−2iiiii−i−i−i−i-1-1110000−33−333−33−300000000−i3i3−i3i3i3−i3i3−i300000000−i−iii0000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.