Finite Group Databasebeta

← Group #11861297

Character table — Group #11861297

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size1111111122222222222222222222444444444444444444446666666666666666888888888888888888889999999912121212121212121212121212121212121212121212121218181818242424242424242436363636
order1222444433444466666612121212121212123444466612121212121212121212121288888888888888881212121212121212121212121212121212121212222244448888888824242424242424242424242424242424444424242424242424244444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111-1-1-1-11111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ611111111111111111111111111111-1-1-1-11111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ711111111111111111111111111111-1-1-1-1111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ811111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ91111111111-1-1-1-111111111111111111-1-1111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1
χ101111111111-1-1-1-111111111111111111-1-1111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-111
χ111111111111-1-1-1-111111111111111111-1-1111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-11111-1-1-1-111
χ121111111111-1-1-1-111111111111111111-1-1111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-11111-1-1
χ131111111111-1-1-1-1111111111111111-1-111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111
χ141111111111-1-1-1-1111111111111111-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-111-1-1
χ151111111111-1-1-1-1111111111111111-1-111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1111111-1-1-1-11111-1-1
χ161111111111-1-1-1-1111111111111111-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-1-111
χ171111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111-11-11111111-1-1-1-1-1-1-1-1ii−i−iii−i−iii−i−iii−i−i11-1-111-1-111-1-111-1-111-1-11111-1-1-1-1i−ii−ii−ii−iii−i−iii−i−iii−i−iii−i−i11-1-1i−ii−ii−ii−i1-11-1
χ181111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111-11-11111111-1-1-1-1-1-1-1-1ii−i−i−i−iiiii−i−i−i−iii11-1-111-1-111-1-111-1-111-1-1-1-1-1-11111i−ii−i−ii−iiii−i−i−i−iiiii−i−i−i−iii-1-111i−ii−i−ii−ii-11-11
χ191111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111-11-11111111-1-1-1-1-1-1-1-1−i−iiiii−i−i−i−iiiii−i−i11-1-111-1-111-1-111-1-111-1-1-1-1-1-11111−ii−iii−ii−i−i−iiiii−i−i−i−iiiii−i−i-1-111−ii−iii−ii−i-11-11
χ201111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111-11-11111111-1-1-1-1-1-1-1-1−i−iii−i−iii−i−iii−i−iii11-1-111-1-111-1-111-1-111-1-11111-1-1-1-1−ii−ii−ii−ii−i−iii−i−iii−i−iii−i−iii11-1-1−ii−ii−ii−ii1-11-1
χ211111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11-11-111111111-1-1-1-1-1-1-1-1ii−i−iii−i−iii−i−iii−i−i-1-111-1-11111-1-1-1-111-1-1111111-1-1-1-1−ii−ii−ii−iiii−i−iii−i−iii−i−iii−i−i11-1-1−ii−ii−ii−ii-11-11
χ221111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11-11-111111111-1-1-1-1-1-1-1-1ii−i−i−i−iiiii−i−i−i−iii-1-111-1-11111-1-1-1-111-1-111-1-1-1-11111−ii−iii−ii−iii−i−i−i−iiiii−i−i−i−iii-1-111−ii−iii−ii−i1-11-1
χ231111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11-11-111111111-1-1-1-1-1-1-1-1−i−iiiii−i−i−i−iiiii−i−i-1-111-1-11111-1-1-1-111-1-111-1-1-1-11111i−ii−i−ii−ii−i−iiiii−i−i−i−iiiii−i−i-1-111i−ii−i−ii−ii1-11-1
χ241111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11-11-111111111-1-1-1-1-1-1-1-1−i−iii−i−iii−i−iii−i−iii-1-111-1-11111-1-1-1-111-1-1111111-1-1-1-1i−ii−ii−ii−i−i−iii−i−iii−i−iii−i−iii11-1-1i−ii−ii−ii−i-11-11
χ251111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1ii−i−iii−i−i−i−iii−i−iii11-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-1i−i−iii−i−iiii−i−iii−i−i−i−iii−i−iii-1-111i−i−iii−i−ii1-1-11
χ261111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1ii−i−i−i−iii−i−iiiii−i−i11-1-1-1-111-1-11111-1-1-1-111-1-1-1-11111i−i−ii−iii−iii−i−i−i−iii−i−iiiii−i−i11-1-1i−i−ii−iii−i-111-1
χ271111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1−i−iiiii−i−iii−i−i−i−iii11-1-1-1-111-1-11111-1-1-1-111-1-1-1-11111−iii−ii−i−ii−i−iiiii−i−iii−i−i−i−iii11-1-1−iii−ii−i−ii-111-1
χ281111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1−i−iii−i−iiiii−i−iii−i−i11-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-1−iii−i−iii−i−i−iii−i−iiiii−i−iii−i−i-1-111−iii−i−iii−i1-1-11
χ291111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11-111-1111-1-1-1-11111-1-1-1-1ii−i−iii−i−i−i−iii−i−iii-1-11111-1-1-1-111-1-11111-1-11111-1-1-1-1−iii−i−iii−iii−i−iii−i−i−i−iii−i−iii-1-111−iii−i−iii−i-111-1
χ301111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11-111-1111-1-1-1-11111-1-1-1-1ii−i−i−i−iii−i−iiiii−i−i-1-11111-1-1-1-111-1-11111-1-1-1-1-1-11111−iii−ii−i−iiii−i−i−i−iii−i−iiiii−i−i11-1-1−iii−ii−i−ii1-1-11
χ311111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11-111-1111-1-1-1-11111-1-1-1-1−i−iiiii−i−iii−i−i−i−iii-1-11111-1-1-1-111-1-11111-1-1-1-1-1-11111i−i−ii−iii−i−i−iiiii−i−iii−i−i−i−iii11-1-1i−i−ii−iii−i1-1-11
χ321111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11-111-1111-1-1-1-11111-1-1-1-1−i−iii−i−iiiii−i−iii−i−i-1-11111-1-1-1-111-1-11111-1-11111-1-1-1-1i−i−iii−i−ii−i−iii−i−iiiii−i−iii−i−i-1-111i−i−iii−i−ii-111-1
χ33222222222-122222-122-1-122-1-122-1-1-12222-1-1-122-1-122-1-1-1-1-1-100002222000022222-12-12-12-1-1-1-1-1-1-1-1-1-1-1-1-100000000000022220000-1-1-1-10000-1-1-1-100000000-1-1-1-10000
χ34222222222-122222-122-1-122-1-122-1-1-12222-1-1-122-1-122-1-1-1-1-1-10000-2-2-2-20000-2-2-2-22-12-12-12-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000-2-2-2-200001111000011110000000011110000
χ35222222222-122222-122-1-122-1-122-1-1-1-2-2-2-2-1-1-122-1-122-1-1-1-1-1-10000222200002222-21-21-21-21-1-1-1-111111111000000000000-2-2-2-20000-1-1-1-10000-1-1-1-10000000011110000
χ36222222222-122222-122-1-122-1-122-1-1-1-2-2-2-2-1-1-122-1-122-1-1-1-1-1-10000-2-2-2-20000-2-2-2-2-21-21-21-21-1-1-1-1111111110000000000002222000011110000111100000000-1-1-1-10000
χ37222222222-1-2-2-2-22-122-1-122-1-122-1-1-122-2-2-1-1-1-2-211-2-211-1-1-1-1000022220000-2-2-2-22-12-1-21-211111-1-1-1-1111100000000000022-2-20000-1-1-1-10000111100000000-1-1110000
χ38222222222-1-2-2-2-22-122-1-122-1-122-1-1-122-2-2-1-1-1-2-211-2-211-1-1-1-10000-2-2-2-2000022222-12-1-21-211111-1-1-1-11111000000000000-2-222000011110000-1-1-1-10000000011-1-10000
χ39222222222-1-2-2-2-22-122-1-122-1-122-1-1-1-2-222-1-1-1-2-211-2-211-1-1-1-1000022220000-2-2-2-2-21-212-12-111111111-1-1-1-1000000000000-2-2220000-1-1-1-1000011110000000011-1-10000
χ40222222222-1-2-2-2-22-122-1-122-1-122-1-1-1-2-222-1-1-1-2-211-2-211-1-1-1-10000-2-2-2-200002222-21-212-12-111111111-1-1-1-100000000000022-2-2000011110000-1-1-1-100000000-1-1110000
χ4122222222-122222-12-1-122-1-122-1-122-12222-1-1-1-1-122-1-122-1-1-1-12222000022220000-12-12-12-12-1-1-1-1-1-1-1-1-1-1-1-10000000022220000-1-1-1-10000-1-1-1-100000000-1-1-1-100000000
χ4222222222-122222-12-1-122-1-122-1-122-12222-1-1-1-1-122-1-122-1-1-1-1-2-2-2-20000-2-2-2-20000-12-12-12-12-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-2000011110000111100000000111100000000
χ4322222222-122222-12-1-122-1-122-1-122-1-2-2-2-2-1-1-1-1-122-1-122-1-1-1-122220000222200001-21-21-21-2-1-1-1-11111111100000000-2-2-2-20000-1-1-1-10000-1-1-1-100000000111100000000
χ4422222222-122222-12-1-122-1-122-1-122-1-2-2-2-2-1-1-1-1-122-1-122-1-1-1-1-2-2-2-20000-2-2-2-200001-21-21-21-2-1-1-1-111111111000000002222000011110000111100000000-1-1-1-100000000
χ4522222222-12-2-2-2-2-12-1-122-1-122-1-122-122-2-2-1-1-111-2-211-2-2-1-1-1-122220000-2-2-2-20000-12-121-21-21111-1-1-1-111110000000022-2-20000-1-1-1-10000111100000000-1-11100000000
χ4622222222-12-2-2-2-2-12-1-122-1-122-1-122-122-2-2-1-1-111-2-211-2-2-1-1-1-1-2-2-2-2000022220000-12-121-21-21111-1-1-1-1111100000000-2-222000011110000-1-1-1-10000000011-1-100000000
χ4722222222-12-2-2-2-2-12-1-122-1-122-1-122-1-2-222-1-1-111-2-211-2-2-1-1-1-122220000-2-2-2-200001-21-2-12-1211111111-1-1-1-100000000-2-2220000-1-1-1-1000011110000000011-1-100000000
χ4822222222-12-2-2-2-2-12-1-122-1-122-1-122-1-2-222-1-1-111-2-211-2-2-1-1-1-1-2-2-2-20000222200001-21-2-12-1211111111-1-1-1-10000000022-2-2000011110000-1-1-1-100000000-1-11100000000
χ492222-2-2-2-22-122-2-22-122-1-1-2-211-2-211-12-22-2-1-1-122-1-1-2-211111100002i2i−2i−2i00002i2i−2i−2i2-1-212-1-21-1-111-1-111-1-1110000000000002i−2i2i−2i0000−i−iii0000−i−iii00000000−ii−ii0000
χ502222-2-2-2-22-122-2-22-122-1-1-2-211-2-211-12-22-2-1-1-122-1-1-2-21111110000−2i−2i2i2i0000−2i−2i2i2i2-1-212-1-21-1-111-1-111-1-111000000000000−2i2i−2i2i0000ii−i−i0000ii−i−i00000000i−ii−i0000
χ512222-2-2-2-22-122-2-22-122-1-1-2-211-2-211-1-22-22-1-1-122-1-1-2-211111100002i2i−2i−2i00002i2i−2i−2i-212-1-212-1-1-11111-1-111-1-1000000000000−2i2i−2i2i0000−i−iii0000−i−iii00000000i−ii−i0000
χ522222-2-2-2-22-122-2-22-122-1-1-2-211-2-211-1-22-22-1-1-122-1-1-2-21111110000−2i−2i2i2i0000−2i−2i2i2i-212-1-212-1-1-11111-1-111-1-10000000000002i−2i2i−2i0000ii−i−i0000ii−i−i00000000−ii−ii0000
χ532222-2-2-2-22-1-2-2222-122-1-1-2-211-2-211-12-2-22-1-1-1-2-21122-1-1111100002i2i−2i−2i0000−2i−2i2i2i2-1-21-212-111-1-1-1-11111-1-10000000000002i−2i−2i2i0000−i−iii0000ii−i−i00000000−iii−i0000
χ542222-2-2-2-22-1-2-2222-122-1-1-2-211-2-211-12-2-22-1-1-1-2-21122-1-111110000−2i−2i2i2i00002i2i−2i−2i2-1-21-212-111-1-1-1-11111-1-1000000000000−2i2i2i−2i0000ii−i−i0000−i−iii00000000i−i−ii0000
χ552222-2-2-2-22-1-2-2222-122-1-1-2-211-2-211-1-222-2-1-1-1-2-21122-1-1111100002i2i−2i−2i0000−2i−2i2i2i-212-12-1-2111-1-111-1-1-1-111000000000000−2i2i2i−2i0000−i−iii0000ii−i−i00000000i−i−ii0000
χ562222-2-2-2-22-1-2-2222-122-1-1-2-211-2-211-1-222-2-1-1-1-2-21122-1-111110000−2i−2i2i2i00002i2i−2i−2i-212-12-1-2111-1-111-1-1-1-1110000000000002i−2i−2i2i0000ii−i−i0000−i−iii00000000−iii−i0000
χ572222-2-2-2-2-1222-2-2-12-1-12211-2-211-2-2-12-22-2-1-1-1-1-12211-2-211112i2i−2i−2i00002i2i−2i−2i0000-121-2-121-2-1-111-1-111-1-111000000002i−2i2i−2i0000−i−iii0000−i−iii00000000−ii−ii00000000
χ582222-2-2-2-2-1222-2-2-12-1-12211-2-211-2-2-12-22-2-1-1-1-1-12211-2-21111−2i−2i2i2i0000−2i−2i2i2i0000-121-2-121-2-1-111-1-111-1-11100000000−2i2i−2i2i0000ii−i−i0000ii−i−i00000000i−ii−i00000000
χ592222-2-2-2-2-1222-2-2-12-1-12211-2-211-2-2-1-22-22-1-1-1-1-12211-2-211112i2i−2i−2i00002i2i−2i−2i00001-2-121-2-12-1-11111-1-111-1-100000000−2i2i−2i2i0000−i−iii0000−i−iii00000000i−ii−i00000000
χ602222-2-2-2-2-1222-2-2-12-1-12211-2-211-2-2-1-22-22-1-1-1-1-12211-2-21111−2i−2i2i2i0000−2i−2i2i2i00001-2-121-2-12-1-11111-1-111-1-1000000002i−2i2i−2i0000ii−i−i0000ii−i−i00000000−ii−ii00000000
χ612222-2-2-2-2-12-2-222-12-1-12211-2-211-2-2-12-2-22-1-1-111-2-2-1-12211112i2i−2i−2i0000−2i−2i2i2i0000-121-21-2-1211-1-1-1-11111-1-1000000002i−2i−2i2i0000−i−iii0000ii−i−i00000000−iii−i00000000
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Here ζ is a primitive root of unity of order 8 (ζ8 = 1); i = ζ2.