Finite Group Databasebeta

← Group #11859488

Character table — Group #11859488

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size11111111222222222222222222223333333344444444444444444444444444446666666666666666666688888888888888881212121212121212121212121212121212121212121212121212121218181818181818182424242436363636
order122244442233446666661212121212121212888888883666666688881212121212121212242424242424242444444444888824242424242424246612122424242424242424242424242244666688881212121212121212121212122424242488888888242424242244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
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
χ71111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1
χ911111111-1-111-1-111111111111111111111111-1-1-1-111111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-11-11-111-1-111-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-11-11-1
χ1011111111-1-111-1-111111111111111111111111-1-1-1-111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-11-11-111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-111-11-11
χ1111111111-1-111-1-111111111111111111111111-1-1-1-1111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-11111-11-11-1-111-1-1111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-11-11
χ1211111111-1-111-1-111111111111111111111111-1-1-1-1111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-11111-11-11-1-11111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1111111-1-11-11-1
χ1311111111-1-111-1-111111111111111-1-1-1-1-1-1-1-11-1-1-1-111111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-11-11-1-11111-1-11111-1-1-1-1-1-1111111-1-1-1-1111111-1-1-11-11
χ1411111111-1-111-1-111111111111111-1-1-1-1-1-1-1-11-1-1-1-111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-11-11-1-111-1-111-1-1-1-11111-1-11111111111-1-1-1-1-1-1111-11-1
χ1511111111-1-111-1-111111111111111-1-1-1-1-1-1-1-11-1-1-1-1111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-11-111-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-11111-1-1111-11-1
χ1611111111-1-111-1-111111111111111-1-1-1-1-1-1-1-11-1-1-1-1111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-11-111-1-111-1-1-1-1-1-1111111-1-111111111-1-1-1-111-1-1-11-11
χ171111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1iiii−i−i−i−i11111111i−ii−i-1-1-1-1-1-1-1-1ii−i−iii−i−i11-1-111-1-1ii−i−iiiii−i−i−i−i11-1-1i−ii−iii−i−iii−i−i1-1-1111-1-1i−ii−i11-1-111-1-1-1-111ii−i−iii−i−iii−i−ii−ii−i1-1-11
χ181111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1iiii−i−i−i−i11111111i−ii−i-1-1-1-1-1-1-1-1ii−i−iii−i−i-1-111-1-111ii−i−iiiii−i−i−i−i11-1-1i−ii−iii−i−iii−i−i1-1-1111-1-1−ii−ii-1-111-1-111-1-111ii−i−i−i−iii−i−iii−ii−ii-111-1
χ191111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1iiii−i−i−i−i11111111−ii−ii-1-1-1-1-1-1-1-1−i−iii−i−iii11-1-111-1-1ii−i−iiiii−i−i−i−i11-1-1−ii−ii−i−iii−i−iii-111-1-1-111−ii−ii11-1-111-1-111-1-1ii−i−iii−i−iii−i−i−ii−ii-111-1
χ201111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1iiii−i−i−i−i11111111−ii−ii-1-1-1-1-1-1-1-1−i−iii−i−iii-1-111-1-111ii−i−iiiii−i−i−i−i11-1-1−ii−ii−i−iii−i−iii-111-1-1-111i−ii−i-1-111-1-11111-1-1ii−i−i−i−iii−i−iiii−ii−i1-1-11
χ211111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1−i−i−i−iiiii11111111i−ii−i-1-1-1-1-1-1-1-1ii−i−iii−i−i11-1-111-1-1−i−iii−i−i−i−iiiii11-1-1i−ii−iii−i−iii−i−i-111-1-1-111i−ii−i11-1-111-1-111-1-1−i−iii−i−iii−i−iiii−ii−i-111-1
χ221111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1−i−i−i−iiiii11111111i−ii−i-1-1-1-1-1-1-1-1ii−i−iii−i−i-1-111-1-111−i−iii−i−i−i−iiiii11-1-1i−ii−iii−i−iii−i−i-111-1-1-111−ii−ii-1-111-1-11111-1-1−i−iiiii−i−iii−i−i−ii−ii1-1-11
χ231111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1−i−i−i−iiiii11111111−ii−ii-1-1-1-1-1-1-1-1−i−iii−i−iii11-1-111-1-1−i−iii−i−i−i−iiiii11-1-1−ii−ii−i−iii−i−iii1-1-1111-1-1−ii−ii11-1-111-1-1-1-111−i−iii−i−iii−i−iii−ii−ii1-1-11
χ241111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1−i−i−i−iiiii11111111−ii−ii-1-1-1-1-1-1-1-1−i−iii−i−iii-1-111-1-111−i−iii−i−i−i−iiiii11-1-1−ii−ii−i−iii−i−iii1-1-1111-1-1i−ii−i-1-111-1-111-1-111−i−iiiii−i−iii−i−ii−ii−i-111-1
χ251111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1iiii−i−i−i−i1-1-1-1-1111i−i−ii1111-1-1-1-1ii−i−i−i−iii11-1-1-1-111−i−iiiiiii−i−i−i−i-1-111i−i−iiii−i−i−i−iii11-1-11111i−i−ii11-1-1-1-111-1-1-1-1−i−iiiii−i−i−i−iiii−i−ii11-1-1
χ261111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1iiii−i−i−i−i1-1-1-1-1111i−i−ii1111-1-1-1-1ii−i−i−i−iii-1-11111-1-1−i−iiiiiii−i−i−i−i-1-111i−i−iiii−i−i−i−iii11-1-11111−iii−i-1-11111-1-1-1-1-1-1−i−iii−i−iiiii−i−i−iii−i-1-111
χ271111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1iiii−i−i−i−i1-1-1-1-1111−iii−i1111-1-1-1-1−i−iiiii−i−i11-1-1-1-111−i−iiiiiii−i−i−i−i-1-111−iii−i−i−iiiii−i−i-1-111-1-1-1-1−iii−i11-1-1-1-1111111−i−iiiii−i−i−i−iii−iii−i-1-111
χ281111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1iiii−i−i−i−i1-1-1-1-1111−iii−i1111-1-1-1-1−i−iiiii−i−i-1-11111-1-1−i−iiiiiii−i−i−i−i-1-111−iii−i−i−iiiii−i−i-1-111-1-1-1-1i−i−ii-1-11111-1-11111−i−iii−i−iiiii−i−ii−i−ii11-1-1
χ291111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii1-1-1-1-1111i−i−ii1111-1-1-1-1ii−i−i−i−iii11-1-1-1-111ii−i−i−i−i−i−iiiii-1-111i−i−iiii−i−i−i−iii-1-111-1-1-1-1i−i−ii11-1-1-1-1111111ii−i−i−i−iiiii−i−ii−i−ii-1-111
χ301111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii1-1-1-1-1111i−i−ii1111-1-1-1-1ii−i−i−i−iii-1-11111-1-1ii−i−i−i−i−i−iiiii-1-111i−i−iiii−i−i−i−iii-1-111-1-1-1-1−iii−i-1-11111-1-11111ii−i−iii−i−i−i−iii−iii−i11-1-1
χ311111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii1-1-1-1-1111−iii−i1111-1-1-1-1−i−iiiii−i−i11-1-1-1-111ii−i−i−i−i−i−iiiii-1-111−iii−i−i−iiiii−i−i11-1-11111−iii−i11-1-1-1-111-1-1-1-1ii−i−i−i−iiiii−i−i−iii−i11-1-1
χ321111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii1-1-1-1-1111−iii−i1111-1-1-1-1−i−iiiii−i−i-1-11111-1-1ii−i−i−i−i−i−iiiii-1-111−iii−i−i−iiiii−i−i11-1-11111i−i−ii-1-11111-1-1-1-1-1-1ii−i−iii−i−i−i−iiii−i−ii-1-111
χ3322222222222-122-1-1222-122-1-122-1-122222222-122-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000002222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1000000000000-1-1-1-1-1-1-1-10000000000000000
χ3422222222222-122-1-1222-122-1-122-1-122222222-122-1-1-1-1-1-2-2-2-222-1-1-1-1-1-111111111000000002222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111-2-2-2-211110000000000001111-1-1-1-10000000000000000
χ3522222222222-122-1-1222-122-1-122-1-1-2-2-2-2-2-2-2-2-122-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-21111000000000000111111110000000000000000
χ3622222222222-122-1-1222-122-1-122-1-1-2-2-2-2-2-2-2-2-122-1-1-1-1-1-2-2-2-222-1-1-1-1-1-11111111100000000-2-2-2-211111111-1-1-1-1-2-2-2-2111111112222-1-1-1-1000000000000-1-1-1-111110000000000000000
χ372222222222-122222-1-1-12-1-122-1-12200000000-1-1-122-1-1-12222-1-122-1-1-1-12222222222222222000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000002222-1-1-1-1-1-1-1-10000000000000000-1-1-1-10000
χ382222222222-122222-1-1-12-1-122-1-12200000000-1-1-122-1-1-12222-1-122-1-1-1-122222222-2-2-2-2-2-2-2-2000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-211111111000000000000000011110000
χ392222222222-122222-1-1-12-1-122-1-12200000000-1-1-122-1-1-1-2-2-2-2-1-122-1-1-1-1-2-2-2-2-2-2-2-222222222000000000000-1-1-1-111111111111100000000-2-2-2-2-1-1-1-1-1-1-1-1000000000000000011110000
χ402222222222-122222-1-1-12-1-122-1-12200000000-1-1-122-1-1-1-2-2-2-2-1-122-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000-1-1-1-1111111111111000000002222111111110000000000000000-1-1-1-10000
χ4122222222-2-22-1-2-2-1-1222-122-1-122-1-122222222-1-2-211-1-1-122-2-2-2-211-1-1-1-1-1-1-1-1111100000000-2-2-2-2-1-1-1-1-1-1-1-1111122-2-2-1-1-1-111112-22-2-1-111000000000000-1-11111110000000000000000
χ4222222222-2-22-1-2-2-1-1222-122-1-122-1-122222222-1-2-211-1-1-1-2-222-2-211-1-1-1-11111-1-1-1-100000000-2-2-2-2-1-1-1-1-1-1-1-11111-2-2221111-1-1-1-1-22-2211-1-100000000000011-1-111110000000000000000
χ4322222222-2-22-1-2-2-1-1222-122-1-122-1-1-2-2-2-2-2-2-2-2-1-2-211-1-1-122-2-2-2-211-1-1-1-1-1-1-1-1111100000000222211111111111122-2-2-1-1-1-11111-22-2211-1-100000000000011-1-1-1-1-1-10000000000000000
χ4422222222-2-22-1-2-2-1-1222-122-1-122-1-1-2-2-2-2-2-2-2-2-1-2-211-1-1-1-2-222-2-211-1-1-1-11111-1-1-1-1000000002222111111111111-2-2221111-1-1-1-12-22-2-1-111000000000000-1-111-1-1-1-10000000000000000
χ4522222222-2-2-12-2-222-1-1-12-1-122-1-12200000000-111-2-2-1-1-122-2-211-2-2-1-1-1-12222-2-2-2-22222-2-2-2-20000000000001111-1-111-1-1-1-111110000000022-2-2-1-1-1-111110000000000000000-1-1110000
χ4622222222-2-2-12-2-222-1-1-12-1-122-1-12200000000-111-2-2-1-1-122-2-211-2-2-1-1-1-12222-2-2-2-2-2-2-2-222220000000000001111-1-111-1-1-1-1111100000000-2-2221111-1-1-1-1000000000000000011-1-10000
χ4722222222-2-2-12-2-222-1-1-12-1-122-1-12200000000-111-2-2-1-1-1-2-22211-2-2-1-1-1-1-2-2-2-222222222-2-2-2-2000000000000111111-1-11111-1-1-1-100000000-2-222-1-1-1-11111000000000000000011-1-10000
χ4822222222-2-2-12-2-222-1-1-12-1-122-1-12200000000-111-2-2-1-1-1-2-22211-2-2-1-1-1-1-2-2-2-22222-2-2-2-22222000000000000111111-1-11111-1-1-1-10000000022-2-21111-1-1-1-10000000000000000-1-1110000
χ492222-2-2-2-2222-1-2-2-1-1222-1-2-211-2-2112i2i2i2i−2i−2i−2i−2i-122-1-1-1-1-12i−2i2i−2i-2-2111111−i−iii−i−iii000000002i2i−2i−2i−i−i−i−iiiii-1-1112i−2i2i−2i−i−iii−i−iii2-2-22-1-11100000000000011-1-1−i−iii0000000000000000
χ502222-2-2-2-2222-1-2-2-1-1222-1-2-211-2-2112i2i2i2i−2i−2i−2i−2i-122-1-1-1-1-1−2i2i−2i2i-2-2111111ii−i−iii−i−i000000002i2i−2i−2i−i−i−i−iiiii-1-111−2i2i−2i2iii−i−iii−i−i-222-211-1-1000000000000-1-111−i−iii0000000000000000
χ512222-2-2-2-2222-1-2-2-1-1222-1-2-211-2-211−2i−2i−2i−2i2i2i2i2i-122-1-1-1-1-12i−2i2i−2i-2-2111111−i−iii−i−iii00000000−2i−2i2i2iiiii−i−i−i−i-1-1112i−2i2i−2i−i−iii−i−iii-222-211-1-1000000000000-1-111ii−i−i0000000000000000
χ522222-2-2-2-2222-1-2-2-1-1222-1-2-211-2-211−2i−2i−2i−2i2i2i2i2i-122-1-1-1-1-1−2i2i−2i2i-2-2111111ii−i−iii−i−i00000000−2i−2i2i2iiiii−i−i−i−i-1-111−2i2i−2i2iii−i−iii−i−i2-2-22-1-11100000000000011-1-1ii−i−i0000000000000000
χ532222-2-2-2-222-12-2-222-1-1-1211-2-211-2-200000000-1-1-122-1-1-12i−2i2i−2i11-2-211112i2i−2i−2i2i2i−2i−2i22-2-222-2-2000000000000-1-111−ii−ii−i−iii−i−iii000000002i−2i2i−2i-1-111-1-1110000000000000000−ii−ii0000
χ542222-2-2-2-222-12-2-222-1-1-1211-2-211-2-200000000-1-1-122-1-1-12i−2i2i−2i11-2-211112i2i−2i−2i2i2i−2i−2i-2-222-2-222000000000000-1-111−ii−ii−i−iii−i−iii00000000−2i2i−2i2i11-1-111-1-10000000000000000i−ii−i0000
χ552222-2-2-2-222-12-2-222-1-1-1211-2-211-2-200000000-1-1-122-1-1-1−2i2i−2i2i11-2-21111−2i−2i2i2i−2i−2i2i2i22-2-222-2-2000000000000-1-111i−ii−iii−i−iii−i−i00000000−2i2i−2i2i-1-111-1-1110000000000000000i−ii−i0000
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χ1448-88-8−8i8i8i−8i00-4-4004-444-44−4i4i−4i4i4i−4i4i−4i0000000020000-22-2000000002i−2i−2i2i0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.