Finite Group Databasebeta

← Group #11859504

Character table — Group #11859504

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size11111111222222222222222222223333333344444444444444444444444444446666666666666666666688888888888888881212121212121212121212121212121212121212121212121212121218181818181818182424242436363636
order122244443366666688881212121212121212888888882346666688121212121212242424242424242424242424224444448888242424242424242466612121224242424242424242424224466668888121212121212121224242424242424244444888861224242488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-11111111111111111111111111-11-1111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-11-1-1-1111-1-1-1-1111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111-11-1-1-1111-1-1-1-1111111111111-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-11-1111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-11111-1-11111-1-1-1-1-1-1-1-11111111111111111-11-11-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
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
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-11-1-1-1111-1-1-1-1111111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-11-1-1-11111-1-11111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-11-1-1-1111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1111111-1-1-1-1-1-111-1-1-1-11111111111111111-1-1-1-1
χ91111111111111111-1-1-1-1111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111
χ101111111111111111-1-1-1-1111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1
χ111111111111111111-1-1-1-11111111111111111-11-1-1-111111-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-111111-11-1-1-111-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1
χ121111111111111111-1-1-1-11111111111111111-11-1-1-111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-111
χ131111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1
χ141111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11-11-11111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-111
χ151111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-1-111111-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111
χ161111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-1-111111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-11-1111-1-111-1-1-1-1-1-111-1-111111111-1-1-1-1111111-1-111-1-1
χ171111-1-1-1-111111111ii−i−i-1-1-1-1-1-1-1-1iiii−i−i−i−i11-111111i−i-1-1-1-1-1-1ii−i−iii−i−iii−i−i1111-1-1-1-1ii−i−iiiii−i−i−i−i111-1-1-1i−iii−i−iii−i−i-111-111-1-1i−ii−i11-1-1-1-111ii−i−iii−i−i11-1-1ii−i−i1-1i−i-11i−i
χ181111-1-1-1-111111111ii−i−i-1-1-1-1-1-1-1-1iiii−i−i−i−i11-111111i−i-1-1-1-1-1-1ii−i−iii−i−iii−i−i11-1-111-1-1−i−iiiiiii−i−i−i−i111-1-1-1i−iii−i−iii−i−i-1-11111-1-1i−i−ii-1-111-1-111−i−iiiii−i−i-1-111−i−iii-11−ii1-1−ii
χ191111-1-1-1-111111111ii−i−i-1-1-1-1-1-1-1-1iiii−i−i−i−i-111-1-1111−ii11-1-1-1-1ii−i−iii−i−i−i−iii1111-1-1-1-1ii−i−iiiii−i−i−i−i-1-1-1111−iiii−i−i−i−iii1-1-111111−ii−ii11-1-1-1-1-1-1ii−i−i−i−iii11-1-1ii−i−i-11−ii1-1−ii
χ201111-1-1-1-111111111ii−i−i-1-1-1-1-1-1-1-1iiii−i−i−i−i-111-1-1111−ii11-1-1-1-1ii−i−iii−i−i−i−iii11-1-111-1-1−i−iiiiiii−i−i−i−i-1-1-1111−iiii−i−i−i−iii11-1-11111−iii−i-1-111-1-1-1-1−i−iii−i−iii-1-111−i−iii1-1i−i-11i−i
χ211111-1-1-1-111111111ii−i−i-1-1-1-1-1-1-1-1−i−i−i−iiiii11-111111i−i-1-1-1-1-1-1ii−i−iii−i−iii−i−i-1-111-1-111ii−i−i−i−i−i−iiiii111-1-1-1i−iii−i−iii−i−i11-1-1-1-111−iii−i11-1-111-1-1ii−i−i−i−iii-1-111−i−iii1-1i−i1-1−ii
χ221111-1-1-1-111111111ii−i−i-1-1-1-1-1-1-1-1−i−i−i−iiiii11-111111i−i-1-1-1-1-1-1ii−i−iii−i−iii−i−i-1-1-1-11111−i−iii−i−i−i−iiiii111-1-1-1i−iii−i−iii−i−i1-1-11-1-111−ii−ii-1-11111-1-1−i−iii−i−iii11-1-1ii−i−i-11−ii-11i−i
χ231111-1-1-1-111111111ii−i−i-1-1-1-1-1-1-1-1−i−i−i−iiiii-111-1-1111−ii11-1-1-1-1ii−i−iii−i−i−i−iii-1-111-1-111ii−i−i−i−i−i−iiiii-1-1-1111−iiii−i−i−i−iii-1-111-1-1-1-1i−i−ii11-1-11111ii−i−iii−i−i-1-111−i−iii-11−ii-11i−i
χ241111-1-1-1-111111111ii−i−i-1-1-1-1-1-1-1-1−i−i−i−iiiii-111-1-1111−ii11-1-1-1-1ii−i−iii−i−i−i−iii-1-1-1-11111−i−iii−i−i−i−iiiii-1-1-1111−iiii−i−i−i−iii-111-1-1-1-1-1i−ii−i-1-1111111−i−iiiii−i−i11-1-1ii−i−i1-1i−i1-1−ii
χ251111-1-1-1-111111111−i−iii-1-1-1-1-1-1-1-1iiii−i−i−i−i11-111111−ii-1-1-1-1-1-1−i−iii−i−iii−i−iii-1-111-1-111−i−iiiiiii−i−i−i−i111-1-1-1−ii−i−iii−i−iii11-1-1-1-111i−i−ii11-1-111-1-1−i−iiiii−i−i-1-111ii−i−i1-1−ii1-1i−i
χ261111-1-1-1-111111111−i−iii-1-1-1-1-1-1-1-1iiii−i−i−i−i11-111111−ii-1-1-1-1-1-1−i−iii−i−iii−i−iii-1-1-1-11111ii−i−iiiii−i−i−i−i111-1-1-1−ii−i−iii−i−iii1-1-11-1-111i−ii−i-1-11111-1-1ii−i−iii−i−i11-1-1−i−iii-11i−i-11−ii
χ271111-1-1-1-111111111−i−iii-1-1-1-1-1-1-1-1iiii−i−i−i−i-111-1-1111i−i11-1-1-1-1−i−iii−i−iiiii−i−i-1-111-1-111−i−iiiiiii−i−i−i−i-1-1-1111i−i−i−iiiii−i−i-1-111-1-1-1-1−iii−i11-1-11111−i−iii−i−iii-1-111ii−i−i-11i−i-11−ii
χ281111-1-1-1-111111111−i−iii-1-1-1-1-1-1-1-1iiii−i−i−i−i-111-1-1111i−i11-1-1-1-1−i−iii−i−iiiii−i−i-1-1-1-11111ii−i−iiiii−i−i−i−i-1-1-1111i−i−i−iiiii−i−i-111-1-1-1-1-1−ii−ii-1-1111111ii−i−i−i−iii11-1-1−i−iii1-1−ii1-1i−i
χ291111-1-1-1-111111111−i−iii-1-1-1-1-1-1-1-1−i−i−i−iiiii11-111111−ii-1-1-1-1-1-1−i−iii−i−iii−i−iii1111-1-1-1-1−i−iii−i−i−i−iiiii111-1-1-1−ii−i−iii−i−iii-111-111-1-1−ii−ii11-1-1-1-111−i−iii−i−iii11-1-1−i−iii1-1−ii-11−ii
χ301111-1-1-1-111111111−i−iii-1-1-1-1-1-1-1-1−i−i−i−iiiii11-111111−ii-1-1-1-1-1-1−i−iii−i−iii−i−iii11-1-111-1-1ii−i−i−i−i−i−iiiii111-1-1-1−ii−i−iii−i−iii-1-11111-1-1−iii−i-1-111-1-111ii−i−i−i−iii-1-111ii−i−i-11i−i1-1i−i
χ311111-1-1-1-111111111−i−iii-1-1-1-1-1-1-1-1−i−i−i−iiiii-111-1-1111i−i11-1-1-1-1−i−iii−i−iiiii−i−i1111-1-1-1-1−i−iii−i−i−i−iiiii-1-1-1111i−i−i−iiiii−i−i1-1-111111i−ii−i11-1-1-1-1-1-1−i−iiiii−i−i11-1-1−i−iii-11i−i1-1i−i
χ321111-1-1-1-111111111−i−iii-1-1-1-1-1-1-1-1−i−i−i−iiiii-111-1-1111i−i11-1-1-1-1−i−iii−i−iiiii−i−i11-1-111-1-1ii−i−i−i−i−i−iiiii-1-1-1111i−i−i−iiiii−i−i11-1-11111i−i−ii-1-111-1-1-1-1ii−i−iii−i−i-1-111ii−i−i1-1−ii-11−ii
χ33222222222-1-1-1222-12222-1-12222-1-1222222222-12-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1220000220000-1-1-1-1-1-1-1-12-1-12-1-122-1-1-1-1-1-1-1-12020-1-1-1-122000000-1-1-1-10000-1-1-1-10000000000000000
χ34222222222-1-1-1222-12222-1-12222-1-122222222-2-1-211-1-1-1-2-211-1-1-1-12222-1-1-1-11111220000220000-1-1-1-1-1-1-1-1-211-211-2-2-1-1-1-11111-20-20-1-111-2-2000000-1-111000011110000000000000000
χ35222222222-1-1-1222-12222-1-12222-1-1-2-2-2-2-2-2-2-22-12-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-20000-2-20000111111112-1-12-1-122-1-1-1-1-1-1-1-1-20-201111-2-20000001111000011110000000000000000
χ36222222222-1-1-1222-12222-1-12222-1-1-2-2-2-2-2-2-2-2-2-1-211-1-1-1-2-211-1-1-1-12222-1-1-1-11111-2-20000-2-2000011111111-211-211-2-2-1-1-1-11111202011-1-12200000011-1-10000-1-1-1-10000000000000000
χ37222222222-1-1-1222-1-2-2-2-2-1-12222-1-1222222222-12-1-1-1-1-1-2-2-1-1-1-1-1-1-2-2-2-211111111-2-20000-2-20000-1-1-1-1-1-1-1-12-1-12-1-1-2-211111111-20-2011112200000011110000-1-1-1-10000000000000000
χ38222222222-1-1-1222-1-2-2-2-2-1-12222-1-122222222-2-1-211-1-1-12211-1-1-1-1-2-2-2-21111-1-1-1-1-2-20000-2-20000-1-1-1-1-1-1-1-1-211-211221111-1-1-1-1202011-1-1-2-200000011-1-1000011110000000000000000
χ39222222222-1-1-1222-1-2-2-2-2-1-12222-1-1-2-2-2-2-2-2-2-22-12-1-1-1-1-1-2-2-1-1-1-1-1-1-2-2-2-211111111220000220000111111112-1-12-1-1-2-2111111112020-1-1-1-1-2-2000000-1-1-1-1000011110000000000000000
χ40222222222-1-1-1222-1-2-2-2-2-1-12222-1-1-2-2-2-2-2-2-2-2-2-1-211-1-1-12211-1-1-1-1-2-2-2-21111-1-1-1-122000022000011111111-211-211221111-1-1-1-1-20-20-1-11122000000-1-1110000-1-1-1-10000000000000000
χ4122222222-1222-1-1-12222222-1-1-1-122000000002-1222-1-1-12222-1-1-1-1-1-1-1-12222222200222200222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1020200000022-1-1-1-10000-1-1-1-1000000000000-1-1-1-10000
χ4222222222-1222-1-1-12222222-1-1-1-122000000002-1222-1-1-12222-1-1-1-1-1-1-1-12222222200-2-2-2-200-2-2-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10-20-2000000-2-211110000111100000000000011110000
χ4322222222-1222-1-1-12222222-1-1-1-12200000000-2-1-2-2-2-1-1-1-2-2-2-2-1-1-1-1-1-1-1-12222-2-2-2-20022220022220000000011111111-1-1-1-111110-20-2000000-2-2-1-1-1-10000-1-1-1-100000000000011110000
χ4422222222-1222-1-1-12222222-1-1-1-12200000000-2-1-2-2-2-1-1-1-2-2-2-2-1-1-1-1-1-1-1-12222-2-2-2-200-2-2-2-200-2-2-2-20000000011111111-1-1-1-11111020200000022111100001111000000000000-1-1-1-10000
χ4522222222-1222-1-1-12-2-2-2-222-1-1-1-122000000002-1222-1-1-1-2-222-1-1-1-11111-2-2-2-2-2-2-2-200222200-2-2-2-200000000-1-1-1-1-1-111111111110202000000-2-2-1-1-1-100001111000000000000-1-1110000
χ4622222222-1222-1-1-12-2-2-2-222-1-1-1-122000000002-1222-1-1-1-2-222-1-1-1-11111-2-2-2-2-2-2-2-200-2-2-2-200222200000000-1-1-1-1-1-111111111110-20-20000002211110000-1-1-1-100000000000011-1-10000
χ4722222222-1222-1-1-12-2-2-2-222-1-1-1-12200000000-2-1-2-2-2-1-1-122-2-2-1-1-1-11111-2-2-2-2222200222200-2-2-2-200000000111111-1-11111-1-1-1-10-20-200000022-1-1-1-10000111100000000000011-1-10000
χ4822222222-1222-1-1-12-2-2-2-222-1-1-1-12200000000-2-1-2-2-2-1-1-122-2-2-1-1-1-11111-2-2-2-2222200-2-2-2-200222200000000111111-1-11111-1-1-1-10202000000-2-211110000-1-1-1-1000000000000-1-1110000
χ492222-2-2-2-22-1-1-1222-12i2i−2i−2i11-2-2-2-2112i2i2i2i−2i−2i−2i−2i2-1-2-1-1-1-1-12i−2i1111112i2i−2i−2i−i−iii−i−iii220000-2-20000−i−i−i−iiiii2-1-1-2112i−2i−i−iii−i−iii-2020-1-1112i−2i00000011-1-10000−i−iii0000000000000000
χ502222-2-2-2-22-1-1-1222-12i2i−2i−2i11-2-2-2-2112i2i2i2i−2i−2i−2i−2i-2-1211-1-1-1−2i2i-1-111112i2i−2i−2i−i−iiiii−i−i220000-2-20000−i−i−i−iiiii-2112-1-1−2i2i−i−iiiii−i−i20-20-1-1-1-1−2i2i00000011110000ii−i−i0000000000000000
χ512222-2-2-2-22-1-1-1222-12i2i−2i−2i11-2-2-2-211−2i−2i−2i−2i2i2i2i2i2-1-2-1-1-1-1-12i−2i1111112i2i−2i−2i−i−iii−i−iii-2-20000220000iiii−i−i−i−i2-1-1-2112i−2i−i−iii−i−iii20-2011-1-1−2i2i000000-1-1110000ii−i−i0000000000000000
χ522222-2-2-2-22-1-1-1222-12i2i−2i−2i11-2-2-2-211−2i−2i−2i−2i2i2i2i2i-2-1211-1-1-1−2i2i-1-111112i2i−2i−2i−i−iiiii−i−i-2-20000220000iiii−i−i−i−i-2112-1-1−2i2i−i−iiiii−i−i-202011112i−2i000000-1-1-1-10000−i−iii0000000000000000
χ532222-2-2-2-22-1-1-1222-1−2i−2i2i2i11-2-2-2-2112i2i2i2i−2i−2i−2i−2i2-1-2-1-1-1-1-1−2i2i111111−2i−2i2i2iii−i−iii−i−i-2-20000220000−i−i−i−iiiii2-1-1-211−2i2iii−i−iii−i−i20-2011-1-12i−2i000000-1-1110000−i−iii0000000000000000
χ542222-2-2-2-22-1-1-1222-1−2i−2i2i2i11-2-2-2-2112i2i2i2i−2i−2i−2i−2i-2-1211-1-1-12i−2i-1-11111−2i−2i2i2iii−i−i−i−iii-2-20000220000−i−i−i−iiiii-2112-1-12i−2iii−i−i−i−iii-20201111−2i2i000000-1-1-1-10000ii−i−i0000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.