Finite Group Databasebeta

← Group #11859351

Character table — Group #11859351

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size11111111222222222222222222223333333344444444444444444444444444446666666666666666666688888888888888881212121212121212121212121212121212121212121212121212121218181818181818182424242436363636
order12224444223344666666121212121212121288888888366666668888121212121212121224242424242424248888888888882424242424242424661212242424242424242424242424224444441212121212121212242424242424242424242424222244446612128888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-11111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
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
χ411111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
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
χ71111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111
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
χ911111111-1-111-1-111111111111111111111111-1-1-1-111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-11-111-1-11-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-11-11-111-1-1
χ1011111111-1-111-1-111111111111111111111111-1-1-1-111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-11111-1-1-1-1-1111-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-11-11-1-111
χ1111111111-1-111-1-111111111111111111111111-1-1-1-1111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-11111-11-1-111-11-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1-11-11-1-111
χ1211111111-1-111-1-111111111111111111111111-1-1-1-1111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-111111-1-1-1111-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1111-11-111-1-1
χ1311111111-1-111-1-111111111111111-1-1-1-1-1-1-1-11-1-1-1-111111-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11-1-1-1111-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1111-11-1-1-111
χ1411111111-1-111-1-111111111111111-1-1-1-1-1-1-1-11-1-1-1-111111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-11-1-111-11-1-1-1-111111111-1-1-1-1111111-1-111-1-1-11-1111-1-1
χ1511111111-1-111-1-111111111111111-1-1-1-1-1-1-1-11-1-1-1-1111-1-111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1111-1-1-111111-1-1-1-111111111-1-1-1-1-1-111-1-111-11-1111-1-1
χ1611111111-1-111-1-111111111111111-1-1-1-1-1-1-1-11-1-1-1-1111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-111-1-11-11111-1-1-1-11111-1-1-1-1111111-1-111-1-11-11-1-1-111
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−iii−i−iii−i−iii−i−iiiii−i−i−i−i11-1-1i−ii−iii−i−iii−i−i1-11-11-1-1111-1-111-1-1ii−i−iii−i−iii−i−i1111-1-1-1-11-1-11i−ii−i
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−iii−i−i−i−iii−i−iiiiiii−i−i−i−i11-1-1i−ii−iii−i−iii−i−i-111-11-11-111-1-111-1-1ii−i−i−i−iii−i−iii-1-1-1-11111-111-1−ii−ii
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−iiiii−i−iii−i−iii−i−iiiii−i−i−i−i11-1-1−ii−ii−i−iii−i−iii-11-11-111-1-1-111-1-111ii−i−iii−i−iii−i−i1111-1-1-1-1-111-1−ii−ii
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−iiiii−i−i−i−iii−i−iiiiiii−i−i−i−i11-1-1−ii−ii−i−iii−i−iii1-1-11-11-11-1-111-1-111ii−i−i−i−iii−i−iii-1-1-1-111111-1-11i−ii−i
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−i−i−iiiii−i−iii−i−i−i−i−i−iiiii11-1-1i−ii−iii−i−iii−i−i1-1-11-11-11-1-111-1-111−i−iiiii−i−iii−i−i-1-1-1-111111-1-11−ii−ii
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−i−iii−i−iii−i−iii−i−i−i−iiiii11-1-1i−ii−iii−i−iii−i−i-11-11-111-1-1-111-1-111−i−iii−i−iii−i−iii1111-1-1-1-1-111-1i−ii−i
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−iii−i−iiiii−i−iii−i−i−i−i−i−iiiii11-1-1−ii−ii−i−iii−i−iii-111-11-11-111-1-111-1-1−i−iiiii−i−iii−i−i-1-1-1-11111-111-1i−ii−i
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−i−iii−i−iii−i−iii−i−i−i−iiiii11-1-1−ii−ii−i−iii−i−iii1-11-11-1-1111-1-111-1-1−i−iii−i−iii−i−iii1111-1-1-1-11-1-11−ii−ii
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−iii−i−iiiii−i−i−i−iiiiiii−i−i−i−i-1-111i−i−iiii−i−i−i−iii111-1-11-1-111-1-1-1-111−i−iiiii−i−i−i−iii11-1-1-1-11111-1-1i−i−ii
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−i−iii−i−iiiii−i−iiiii−i−i−i−i-1-111i−i−iiii−i−i−i−iii-1-11-1-111111-1-1-1-111−i−iii−i−iiiii−i−i-1-11111-1-1-1-111−iii−i
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−i−i−iiiii−i−i−i−iiiiiii−i−i−i−i-1-111−iii−i−i−iiiii−i−i-1-1-111-111-1-11111-1-1−i−iiiii−i−i−i−iii11-1-1-1-111-1-111−iii−i
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−i−iii−i−iiiii−i−iiiii−i−i−i−i-1-111−iii−i−i−iiiii−i−i11-111-1-1-1-1-11111-1-1−i−iii−i−iiiii−i−i-1-11111-1-111-1-1i−i−ii
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−iiiii−i−iii−i−i−i−iii−i−i−i−iiiii-1-111i−i−iiii−i−i−i−iii11-111-1-1-1-1-11111-1-1ii−i−iii−i−i−i−iii-1-11111-1-111-1-1−iii−i
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−iiiii−i−i−i−iiiii−i−i−i−i−i−iiiii-1-111i−i−iiii−i−i−i−iii-1-1-111-111-1-11111-1-1ii−i−i−i−iiiii−i−i11-1-1-1-111-1-111i−i−ii
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−iii−i−iii−i−i−i−iii−i−i−i−iiiii-1-111−iii−i−i−iiiii−i−i-1-11-1-111111-1-1-1-111ii−i−iii−i−i−i−iii-1-11111-1-1-1-111i−i−ii
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−iii−i−i−i−iiiii−i−i−i−i−i−iiiii-1-111−iii−i−i−iiiii−i−i111-1-11-1-111-1-1-1-111ii−i−i−i−iiiii−i−i11-1-1-1-11111-1-1−iii−i
χ3322222222222-122-1-1222-122-1-122-1-100000000-122-1-1-1-1-1222222-1-1-1-1-1-12222222200002222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122000022000000000000-1-1-1-1-1-1-1-100000000-1-1-1-10000
χ3422222222222-122-1-1222-122-1-122-1-100000000-122-1-1-1-1-1222222-1-1-1-1-1-1222222220000-2-2-2-2-2-2-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-20000-2-2000000000000111111110000000011110000
χ3522222222222-122-1-1222-122-1-122-1-100000000-122-1-1-1-1-1-2-2-2-222-1-1-1-1-1-1-2-2-2-2-2-2-2-200002222222200000000-1-1-1-1111111111111-2-20000-2-2000000000000-1-1-1-1-1-1-1-10000000011110000
χ3622222222222-122-1-1222-122-1-122-1-100000000-122-1-1-1-1-1-2-2-2-222-1-1-1-1-1-1-2-2-2-2-2-2-2-20000-2-2-2-2-2-2-2-200000000-1-1-1-1111111111111220000220000000000001111111100000000-1-1-1-10000
χ372222222222-122222-1-1-12-1-122-1-12222222222-1-1-122-1-1-12222-1-122-1-1-1-1-1-1-1-1-1-1-1-1222200000000-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100222200-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ382222222222-122222-1-1-12-1-122-1-12222222222-1-1-122-1-1-1-2-2-2-2-1-122-1-1-1-111111111222200000000-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111100-2-2-2-20011111111-1-1-1-1000000000000000000000000
χ392222222222-122222-1-1-12-1-122-1-122-2-2-2-2-2-2-2-2-1-1-122-1-1-12222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000000011111111-1-1-1-12222-1-1-1-1-1-1-1-100-2-2-2-200111111111111000000000000000000000000
χ402222222222-122222-1-1-12-1-122-1-122-2-2-2-2-2-2-2-2-1-1-122-1-1-1-2-2-2-2-1-122-1-1-1-111111111-2-2-2-20000000011111111-1-1-1-1-2-2-2-21111111100222200-1-1-1-1-1-1-1-11111000000000000000000000000
χ4122222222-2-22-1-2-2-1-1222-122-1-122-1-100000000-1-2-211-1-1-122-2-2-2-211-1-1-1-12222-2-2-2-200002222-2-2-2-2000000001111-1-111-1-1-1-111112-200002-2000000000000-1-1-1-1111100000000-11-110000
χ4222222222-2-22-1-2-2-1-1222-122-1-122-1-100000000-1-2-211-1-1-122-2-2-2-211-1-1-1-12222-2-2-2-20000-2-2-2-22222000000001111-1-111-1-1-1-11111-220000-220000000000001111-1-1-1-1000000001-11-10000
χ4322222222-2-22-1-2-2-1-1222-122-1-122-1-100000000-1-2-211-1-1-1-2-222-2-211-1-1-1-1-2-2-2-2222200002222-2-2-2-200000000111111-1-11111-1-1-1-1-220000-22000000000000-1-1-1-11111000000001-11-10000
χ4422222222-2-22-1-2-2-1-1222-122-1-122-1-100000000-1-2-211-1-1-1-2-222-2-211-1-1-1-1-2-2-2-222220000-2-2-2-2222200000000111111-1-11111-1-1-1-12-200002-20000000000001111-1-1-1-100000000-11-110000
χ4522222222-2-2-12-2-222-1-1-12-1-122-1-12222222222-111-2-2-1-1-122-2-211-2-2-1-1-1-1-1-1-1-11111-2-2-2-200000000-1-1-1-1-1-1-1-1111122-2-2-1-1-1-111110022-2-200-1-1-1-111111111000000000000000000000000
χ4622222222-2-2-12-2-222-1-1-12-1-122-1-12222222222-111-2-2-1-1-1-2-22211-2-2-1-1-1-11111-1-1-1-1-2-2-2-200000000-1-1-1-1-1-1-1-11111-2-2221111-1-1-1-100-2-222001111-1-1-1-11111000000000000000000000000
χ4722222222-2-2-12-2-222-1-1-12-1-122-1-122-2-2-2-2-2-2-2-2-111-2-2-1-1-122-2-211-2-2-1-1-1-1-1-1-1-1111122220000000011111111111122-2-2-1-1-1-1111100-2-222001111-1-1-1-1-1-1-1-1000000000000000000000000
χ4822222222-2-2-12-2-222-1-1-12-1-122-1-122-2-2-2-2-2-2-2-2-111-2-2-1-1-1-2-22211-2-2-1-1-1-11111-1-1-1-1222200000000111111111111-2-2221111-1-1-1-10022-2-200-1-1-1-11111-1-1-1-1000000000000000000000000
χ492222-2-2-2-2222-1-2-2-1-1222-1-2-211-2-21100000000-122-1-1-1-1-12i−2i2i−2i-2-21111112i2i−2i−2i2i2i−2i−2i00002i2i−2i−2i2i2i−2i−2i00000000-1-111−ii−ii−i−iii−i−iii2-20000-22000000000000−i−iii−i−iii00000000-111-10000
χ502222-2-2-2-2222-1-2-2-1-1222-1-2-211-2-21100000000-122-1-1-1-1-12i−2i2i−2i-2-21111112i2i−2i−2i2i2i−2i−2i0000−2i−2i2i2i−2i−2i2i2i00000000-1-111−ii−ii−i−iii−i−iii-2200002-2000000000000ii−i−iii−i−i000000001-1-110000
χ512222-2-2-2-2222-1-2-2-1-1222-1-2-211-2-21100000000-122-1-1-1-1-1−2i2i−2i2i-2-2111111−2i−2i2i2i−2i−2i2i2i00002i2i−2i−2i2i2i−2i−2i00000000-1-111i−ii−iii−i−iii−i−i-2200002-2000000000000−i−iii−i−iii000000001-1-110000
χ522222-2-2-2-2222-1-2-2-1-1222-1-2-211-2-21100000000-122-1-1-1-1-1−2i2i−2i2i-2-2111111−2i−2i2i2i−2i−2i2i2i0000−2i−2i2i2i−2i−2i2i2i00000000-1-111i−ii−iii−i−iii−i−i2-20000-22000000000000ii−i−iii−i−i00000000-111-10000
χ532222-2-2-2-222-12-2-222-1-1-1211-2-211-2-22i2i2i2i−2i−2i−2i−2i-1-1-122-1-1-12i−2i2i−2i11-2-21111−i−iii−i−iii2i2i−2i−2i00000000−i−i−i−iiiii-1-1112i−2i2i−2i−i−iii−i−iii002-22-200-1-111-1-111−i−iii000000000000000000000000
χ542222-2-2-2-222-12-2-222-1-1-1211-2-211-2-22i2i2i2i−2i−2i−2i−2i-1-1-122-1-1-1−2i2i−2i2i11-2-21111ii−i−iii−i−i2i2i−2i−2i00000000−i−i−i−iiiii-1-111−2i2i−2i2iii−i−iii−i−i00-22-220011-1-111-1-1−i−iii000000000000000000000000
χ552222-2-2-2-222-12-2-222-1-1-1211-2-211-2-2−2i−2i−2i−2i2i2i2i2i-1-1-122-1-1-12i−2i2i−2i11-2-21111−i−iii−i−iii−2i−2i2i2i00000000iiii−i−i−i−i-1-1112i−2i2i−2i−i−iii−i−iii00-22-220011-1-111-1-1ii−i−i000000000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.