Finite Group Databasebeta

← Group #11784083

Character table — Group #11784083

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size11111111222222222222222222223333333344444444444444444444444444446666666666666666666688888888888888881212121212121212121212121212121212121212121212121212121218181818181818182424242436363636
order122244442233446666661212121212121212888888883666666688881212121212121212242424242424242488888888888824242424242424246612122424242424242424242424242244666688881212121224242424242424242424242444444444242424244444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
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
χ411111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
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
χ71111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111
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−i1-1-1-1-1111ii−i−i111-1-1-1-11iiii−i−i−i−iii−i−i1111-1-1-1-1iiii−i−i−i−i-1-111ii−i−iiiii−i−i−i−i11-1-11111ii−i−i-1-1-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−iii−i−i11-1-1
χ101111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1iiii−i−i−i−i1-1-1-1-1111ii−i−i111-1-1-1-11iiii−i−i−i−iii−i−i-1-1-1-11111iiii−i−i−i−i-1-111ii−i−iiiii−i−i−i−i11-1-11111−i−iii-1-1-1-1ii−i−i-1-1-1-11111−i−i−i−iiiii−i−iii-1-111
χ111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1iiii−i−i−i−i1-1-1-1-1111−i−iii111-1-1-1-11−i−i−i−iiiiiii−i−i1111-1-1-1-1iiii−i−i−i−i-1-111−i−iii−i−i−i−iiiii-1-111-1-1-1-1−i−iii1111ii−i−i1111-1-1-1-1iiii−i−i−i−i−i−iii-1-111
χ121111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1iiii−i−i−i−i1-1-1-1-1111−i−iii111-1-1-1-11−i−i−i−iiiiiii−i−i-1-1-1-11111iiii−i−i−i−i-1-111−i−iii−i−i−i−iiiii-1-111-1-1-1-1ii−i−i1111ii−i−i-1-1-1-11111−i−i−i−iiiiiii−i−i11-1-1
χ131111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii1-1-1-1-1111ii−i−i111-1-1-1-11iiii−i−i−i−i−i−iii1111-1-1-1-1−i−i−i−iiiii-1-111ii−i−iiiii−i−i−i−i-1-111-1-1-1-1ii−i−i1111−i−iii1111-1-1-1-1−i−i−i−iiiiiii−i−i-1-111
χ141111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii1-1-1-1-1111ii−i−i111-1-1-1-11iiii−i−i−i−i−i−iii-1-1-1-11111−i−i−i−iiiii-1-111ii−i−iiiii−i−i−i−i-1-111-1-1-1-1−i−iii1111−i−iii-1-1-1-11111iiii−i−i−i−i−i−iii11-1-1
χ151111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii1-1-1-1-1111−i−iii111-1-1-1-11−i−i−i−iiiii−i−iii1111-1-1-1-1−i−i−i−iiiii-1-111−i−iii−i−i−i−iiiii11-1-11111−i−iii-1-1-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii−i−iii11-1-1
χ161111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii1-1-1-1-1111−i−iii111-1-1-1-11−i−i−i−iiiii−i−iii-1-1-1-11111−i−i−i−iiiii-1-111−i−iii−i−i−i−iiiii11-1-11111ii−i−i-1-1-1-1−i−iii-1-1-1-11111iiii−i−i−i−iii−i−i-1-111
χ1711-1-111-1-1-11111-1-1-1-1-11111-1-111-1-1ii−i−iii−i−i11-11-1-1-11i−ii−i11-111-1-1-1ii−i−iii−i−ii−ii−iii−i−iii−i−iii−i−iii−i−i1-11-1i−ii−iii−i−iii−i−i1-11-111-1-11-11-111-1-1i−ii−iii−i−iii−i−i11-1-111-1-11-11-1i−ii−i
χ1811-1-111-1-1-11111-1-1-1-1-11111-1-111-1-1ii−i−iii−i−i11-11-1-1-11i−ii−i11-111-1-1-1ii−i−iii−i−ii−ii−i−i−iii−i−iiiii−i−iii−i−i1-11-1i−ii−iii−i−iii−i−i1-11-111-1-1-11-1111-1-1i−ii−i−i−iii−i−iii-1-111-1-111-11-11−ii−ii
χ1911-1-111-1-1-11111-1-1-1-1-11111-1-111-1-1ii−i−iii−i−i11-11-1-1-11−ii−ii11-111-1-1-1−i−iii−i−iiii−ii−iii−i−iii−i−iii−i−iii−i−i1-11-1−ii−ii−i−iii−i−iii-11-11-1-111-11-11-1-111i−ii−iii−i−iii−i−i11-1-111-1-1-11-11−ii−ii
χ2011-1-111-1-1-11111-1-1-1-1-11111-1-111-1-1ii−i−iii−i−i11-11-1-1-11−ii−ii11-111-1-1-1−i−iii−i−iiii−ii−i−i−iii−i−iiiii−i−iii−i−i1-11-1−ii−ii−i−iii−i−iii-11-11-1-1111-11-1-1-111i−ii−i−i−iii−i−iii-1-111-1-1111-11-1i−ii−i
χ2111-1-111-1-1-11111-1-1-1-1-11111-1-111-1-1−i−iii−i−iii11-11-1-1-11i−ii−i11-111-1-1-1ii−i−iii−i−i−ii−iiii−i−iii−i−i−i−iii−i−iii1-11-1i−ii−iii−i−iii−i−i-11-11-1-1111-11-1-1-111−ii−iiii−i−iii−i−i-1-111-1-1111-11-1−ii−ii
χ2211-1-111-1-1-11111-1-1-1-1-11111-1-111-1-1−i−iii−i−iii11-11-1-1-11i−ii−i11-111-1-1-1ii−i−iii−i−i−ii−ii−i−iii−i−iii−i−iii−i−iii1-11-1i−ii−iii−i−iii−i−i-11-11-1-111-11-11-1-111−ii−ii−i−iii−i−iii11-1-111-1-1-11-11i−ii−i
χ2311-1-111-1-1-11111-1-1-1-1-11111-1-111-1-1−i−iii−i−iii11-11-1-1-11−ii−ii11-111-1-1-1−i−iii−i−iii−ii−iiii−i−iii−i−i−i−iii−i−iii1-11-1−ii−ii−i−iii−i−iii1-11-111-1-1-11-1111-1-1−ii−iiii−i−iii−i−i-1-111-1-111-11-11i−ii−i
χ2411-1-111-1-1-11111-1-1-1-1-11111-1-111-1-1−i−iii−i−iii11-11-1-1-11−ii−ii11-111-1-1-1−i−iii−i−iii−ii−ii−i−iii−i−iii−i−iii−i−iii1-11-1−ii−ii−i−iii−i−iii1-11-111-1-11-11-111-1-1−ii−ii−i−iii−i−iii11-1-111-1-11-11-1−ii−ii
χ2511-1-1-1-1111-1111-1-1-1-1-111-1-111-1-11111-1-1-1-1111-11-11-1-111-1-1111-1-1-111-111-1-1-1-1111-1-11ii−i−i−i−iii11-1-1-1-111-111-11-1-1111-1-1-1-1111-1-1111-1-1−iii−i-1-1111-1-11ii−i−i−i−iii−i−iiiii−i−i−iii−ii−i−ii
χ2611-1-1-1-1111-1111-1-1-1-1-111-1-111-1-11111-1-1-1-1111-11-11-1-111-1-1111-1-1-111-111-1-1-1-1111-1-11−i−iiiii−i−i11-1-1-1-111-111-11-1-1111-1-1-1-1111-1-1111-1-1i−i−ii-1-1111-1-11−i−iiiii−i−iii−i−i−i−iiii−i−ii−iii−i
χ2711-1-1-1-1111-1111-1-1-1-1-111-1-111-1-11111-1-1-1-1111-11-11-1-11-111-111-1-1-111-1-1-11111-1-11-1-11ii−i−i−i−iii11-1-1-1-111-111-1-111-1-1-11111-1-1-111-1-1-111i−i−ii11-1-11-1-11ii−i−i−i−iii−i−iiiii−i−ii−i−ii−iii−i
χ2811-1-1-1-1111-1111-1-1-1-1-111-1-111-1-11111-1-1-1-1111-11-11-1-11-111-111-1-1-111-1-1-11111-1-11-1-11−i−iiiii−i−i11-1-1-1-111-111-1-111-1-1-11111-1-1-111-1-1-111−iii−i11-1-11-1-11−i−iiiii−i−iii−i−i−i−iii−iii−ii−i−ii
χ2911-1-1-1-1111-1111-1-1-1-1-111-1-111-1-111-1-11111-1-11-11-11-1-111-1-1111-1-1-111-111-1-1-1-111-111-1ii−i−i−i−iii-1-11111-1-1-111-11-1-1111-1-1-1-111-111-1-1-111−iii−i11-1-1-111-1ii−i−i−i−iiiii−i−i−i−iii−iii−i−iii−i
χ3011-1-1-1-1111-1111-1-1-1-1-111-1-111-1-111-1-11111-1-11-11-11-1-111-1-1111-1-1-111-111-1-1-1-111-111-1−i−iiiii−i−i-1-11111-1-1-111-11-1-1111-1-1-1-111-111-1-1-111i−i−ii11-1-1-111-1−i−iiiii−i−i−i−iiiii−i−ii−i−iii−i−ii
χ3111-1-1-1-1111-1111-1-1-1-1-111-1-111-1-111-1-11111-1-11-11-11-1-11-111-111-1-1-111-1-1-11111-1-1-111-1ii−i−i−i−iii-1-11111-1-1-111-1-111-1-1-11111-1-11-1-1111-1-1i−i−ii-1-111-111-1ii−i−i−i−iiiii−i−i−i−iiii−i−iii−i−ii
χ3211-1-1-1-1111-1111-1-1-1-1-111-1-111-1-111-1-11111-1-11-11-11-1-11-111-111-1-1-111-1-1-11111-1-1-111-1−i−iiiii−i−i-1-11111-1-1-111-1-111-1-1-11111-1-11-1-1111-1-1−iii−i-1-111-111-1−i−iiiii−i−i−i−iiiii−i−i−iii−i−iii−i
χ3322222222222-12222-1-12-1-1-12222-1-122222222-122-1-1-1-1-122222-1-1-1-1-1-12-1-1-1-1-1-1-1-1222200000000-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-10000-1-1-1-1-1-1-1-1000000000000000000000000
χ3422222222222-12222-1-12-1-1-12222-1-122222222-122-1-1-1-1-1-2-2-2-22-1-1-1-1-1-1211111111222200000000-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111-2-2-2-2111100001111-1-1-1-1000000000000000000000000
χ3522222222222-12222-1-12-1-1-12222-1-1-2-2-2-2-2-2-2-2-122-1-1-1-1-122222-1-1-1-1-1-12-1-1-1-1-1-1-1-1-2-2-2-20000000011111111-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-21111000011111111000000000000000000000000
χ3622222222222-12222-1-12-1-1-12222-1-1-2-2-2-2-2-2-2-2-122-1-1-1-1-1-2-2-2-22-1-1-1-1-1-1211111111-2-2-2-20000000011111111-1-1-1-1-2-2-2-2111111112222-1-1-1-10000-1-1-1-11111000000000000000000000000
χ372222222222-1222-1-122-1222-1-1-1-12200000000-1-1-122-1-1-12222-122-1-1-1-1-12222222200002222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000222200000000-1-1-1-1-1-1-1-100000000-1-1-1-10000
χ382222222222-1222-1-122-1222-1-1-1-12200000000-1-1-122-1-1-12222-122-1-1-1-1-1222222220000-2-2-2-2-2-2-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-200000000111111110000000011110000
χ392222222222-1222-1-122-1222-1-1-1-12200000000-1-1-122-1-1-1-2-2-2-2-122-1-1-1-1-1-2-2-2-2-2-2-2-200002222222200000000-1-1-1-111111111111100000000-2-2-2-200000000-1-1-1-1-1-1-1-10000000011110000
χ402222222222-1222-1-122-1222-1-1-1-12200000000-1-1-122-1-1-1-2-2-2-2-122-1-1-1-1-1-2-2-2-2-2-2-2-20000-2-2-2-2-2-2-2-200000000-1-1-1-1111111111111000000002222000000001111111100000000-1-1-1-10000
χ4122222222-2-222-2-222222222222222222222222-2-2-2-22220000-2-2-22222-200000000-2-2-2-20000000022222222-2-2-2-20000000000000000000000000000-2-2-2-2000000000000000000000000
χ4222222222-2-222-2-222222222222222-2-2-2-2-2-2-2-22-2-2-2-22220000-2-2-22222-200000000222200000000-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000002222000000000000000000000000
χ4322222222-2-22-1-2-222-1-12-1-1-12222-1-122222222-1-2-211-1-1-10000-211-1-1-1-1-2−i3i3−i3i3−i3i3−i3i3-2-2-2-200000000-1-1-1-1-1-1-1-111110000−i3i3−i3i3−i3i3−i3i30000−i3i3−i3i30000−i3i3−i3i31111000000000000000000000000
χ4422222222-2-22-1-2-222-1-12-1-1-12222-1-122222222-1-2-211-1-1-10000-211-1-1-1-1-2i3−i3i3−i3i3−i3i3−i3-2-2-2-200000000-1-1-1-1-1-1-1-111110000i3−i3i3−i3i3−i3i3−i30000i3−i3i3−i30000i3−i3i3−i31111000000000000000000000000
χ4522222222-2-22-1-2-222-1-12-1-1-12222-1-1-2-2-2-2-2-2-2-2-1-2-211-1-1-10000-211-1-1-1-1-2−i3i3−i3i3−i3i3−i3i32222000000001111111111110000−i3i3−i3i3−i3i3−i3i30000i3−i3i3−i30000i3−i3i3−i3-1-1-1-1000000000000000000000000
χ4622222222-2-22-1-2-222-1-12-1-1-12222-1-1-2-2-2-2-2-2-2-2-1-2-211-1-1-10000-211-1-1-1-1-2i3−i3i3−i3i3−i3i3−i32222000000001111111111110000i3−i3i3−i3i3−i3i3−i30000−i3i3−i3i30000−i3i3−i3i3-1-1-1-1000000000000000000000000
χ472222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-22i2i2i2i−2i−2i−2i−2i222222220000-2-2-2-2-2-2-2-200000000−2i−2i2i2i000000002i2i2i2i−2i−2i−2i−2i22-2-20000000000000000000000000000−2i−2i2i2i000000000000000000000000
χ482222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-2−2i−2i−2i−2i2i2i2i2i222222220000-2-2-2-2-2-2-2-2000000002i2i−2i−2i00000000−2i−2i−2i−2i2i2i2i2i22-2-200000000000000000000000000002i2i−2i−2i000000000000000000000000
χ492222-2-2-2-2222-1-2-222-1-12-111-2-2-2-2112i2i2i2i−2i−2i−2i−2i-122-1-1-1-1-10000-2111111-23−33−3−33−33−2i−2i2i2i00000000−i−i−i−iiiii-1-11100003−33−3−33−330000−i3i3−i3i30000i3−i3i3−i3ii−i−i000000000000000000000000
χ502222-2-2-2-2222-1-2-222-1-12-111-2-2-2-2112i2i2i2i−2i−2i−2i−2i-122-1-1-1-1-10000-2111111-2−33−333−33−3−2i−2i2i2i00000000−i−i−i−iiiii-1-1110000−33−333−33−30000i3−i3i3−i30000−i3i3−i3i3ii−i−i000000000000000000000000
χ512222-2-2-2-2222-1-2-222-1-12-111-2-2-2-211−2i−2i−2i−2i2i2i2i2i-122-1-1-1-1-10000-2111111-23−33−3−33−332i2i−2i−2i00000000iiii−i−i−i−i-1-11100003−33−3−33−330000i3−i3i3−i30000−i3i3−i3i3−i−iii000000000000000000000000
χ522222-2-2-2-2222-1-2-222-1-12-111-2-2-2-211−2i−2i−2i−2i2i2i2i2i-122-1-1-1-1-10000-2111111-2−33−333−33−32i2i−2i−2i00000000iiii−i−i−i−i-1-1110000−33−333−33−30000−i3i3−i3i30000i3−i3i3−i3−i−iii000000000000000000000000
χ532222-2-2-2-2-2-22-12222-1-12-111-2-2-2-2112i2i2i2i−2i−2i−2i−2i-1-2-211-1-1-12i2i−2i−2i2-1-111112−i−i−i−iiiii2i2i−2i−2i00000000−i−i−i−iiiii11-1-12i2i−2i−2i−i−i−i−iiiii22-2-2-1-1-1-100001111−i−iii000000000000000000000000
χ542222-2-2-2-2-2-22-12222-1-12-111-2-2-2-2112i2i2i2i−2i−2i−2i−2i-1-2-211-1-1-1−2i−2i2i2i2-1-111112iiii−i−i−i−i2i2i−2i−2i00000000−i−i−i−iiiii11-1-1−2i−2i2i2iiiii−i−i−i−i-2-22211110000-1-1-1-1−i−iii000000000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.