Finite Group Databasebeta

← Group #11859505

Character table — Group #11859505

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size1111111122222222222222222222444444444444444444446666666666666666888888888888888888889999999912121212121212121212121212121212121212121212121218181818242424242424242436363636
order1222444433666666888812121212121212122346668812121212242424242424242444444444888888886666121212122424242424242424242424248888888822448888121212121212121224242424242424242244661212242424242488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11-11-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11-11-111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-11-11-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-11-11-1-111-1-1-1-1
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
χ51111111111111111111111111111-11-1111-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111-11-1111-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-11-11-1-1111111
χ71111111111111111111111111111-11-1111-1-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-11-111-1-11111
χ81111111111111111111111111111-11-1111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ91111111111111111-1-1-1-111111111111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1
χ101111111111111111-1-1-1-111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11-11-1-1-111-1-111
χ111111111111111111-1-1-1-111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-11-1111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1111-1-1-1-111
χ121111111111111111-1-1-1-111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111-1-1
χ131111111111111111-1-1-1-111111111-11-1111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111
χ141111111111111111-1-1-1-111111111-11-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-11-1111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-11-1111-1-111-1-1
χ151111111111111111-1-1-1-111111111-11-1111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111-11-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11-11-1-1-11111-1-1
χ161111111111111111-1-1-1-111111111-11-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-111
χ171111-1-1-1-111111111ii−i−i-1-1-1-1-1-1-1-111-1111i−i-1-1-1-1iiii−i−i−i−i11-1-111-1-1ii−i−iii−i−i1111-1-1-1-1ii−i−iii−i−iii−i−iiiii−i−i−i−i11-1-1i−ii−i11-1-111-1-1ii−i−iii−i−i-1-11111-1-1i−ii−i1-1i−i
χ181111-1-1-1-111111111ii−i−i-1-1-1-1-1-1-1-111-1111i−i-1-1-1-1iiii−i−i−i−i11-1-1-1-111ii−i−i−i−iii1111-1-1-1-1ii−i−iii−i−iii−i−i−i−i−i−iiiii1-1-11i−i−ii11-1-1-1-111ii−i−i−i−iii11-1-11-1-11i−i−ii-11−ii
χ191111-1-1-1-111111111ii−i−i-1-1-1-1-1-1-1-111-1111i−i-1-1-1-1iiii−i−i−i−i-1-11111-1-1−i−iiiii−i−i1111-1-1-1-1ii−i−iii−i−iii−i−i−i−i−i−iiiii-111-1−iii−i-1-11111-1-1−i−iiiii−i−i11-1-1-111-1−iii−i-11−ii
χ201111-1-1-1-111111111ii−i−i-1-1-1-1-1-1-1-111-1111i−i-1-1-1-1iiii−i−i−i−i-1-111-1-111−i−iii−i−iii1111-1-1-1-1ii−i−iii−i−iii−i−iiiii−i−i−i−i-1-111−ii−ii-1-111-1-111−i−iii−i−iii-1-111-1-111−ii−ii1-1i−i
χ211111-1-1-1-111111111ii−i−i-1-1-1-1-1-1-1-1-111111−ii-1-1-1-1iiii−i−i−i−i11-1-111-1-1ii−i−iii−i−i-1-1-1-11111−i−iiiii−i−i−i−iiiiiii−i−i−i−i-1-111−ii−ii11-1-111-1-1ii−i−iii−i−i-1-111-1-111−ii−ii-11−ii
χ221111-1-1-1-111111111ii−i−i-1-1-1-1-1-1-1-1-111111−ii-1-1-1-1iiii−i−i−i−i11-1-1-1-111ii−i−i−i−iii-1-1-1-11111−i−iiiii−i−i−i−iii−i−i−i−iiiii-111-1−iii−i11-1-1-1-111ii−i−i−i−iii11-1-1-111-1−iii−i1-1i−i
χ231111-1-1-1-111111111ii−i−i-1-1-1-1-1-1-1-1-111111−ii-1-1-1-1iiii−i−i−i−i-1-11111-1-1−i−iiiii−i−i-1-1-1-11111−i−iiiii−i−i−i−iii−i−i−i−iiiii1-1-11i−i−ii-1-11111-1-1−i−iiiii−i−i11-1-11-1-11i−i−ii1-1i−i
χ241111-1-1-1-111111111ii−i−i-1-1-1-1-1-1-1-1-111111−ii-1-1-1-1iiii−i−i−i−i-1-111-1-111−i−iii−i−iii-1-1-1-11111−i−iiiii−i−i−i−iiiiiii−i−i−i−i11-1-1i−ii−i-1-111-1-111−i−iii−i−iii-1-11111-1-1i−ii−i-11−ii
χ251111-1-1-1-111111111−i−iii-1-1-1-1-1-1-1-111-1111−ii-1-1-1-1−i−i−i−iiiii11-1-111-1-1−i−iii−i−iii1111-1-1-1-1−i−iii−i−iii−i−iii−i−i−i−iiiii11-1-1−ii−ii11-1-111-1-1−i−iii−i−iii-1-11111-1-1−ii−ii1-1−ii
χ261111-1-1-1-111111111−i−iii-1-1-1-1-1-1-1-111-1111−ii-1-1-1-1−i−i−i−iiiii11-1-1-1-111−i−iiiii−i−i1111-1-1-1-1−i−iii−i−iii−i−iiiiiii−i−i−i−i1-1-11−iii−i11-1-1-1-111−i−iiiii−i−i11-1-11-1-11−iii−i-11i−i
χ271111-1-1-1-111111111−i−iii-1-1-1-1-1-1-1-111-1111−ii-1-1-1-1−i−i−i−iiiii-1-11111-1-1ii−i−i−i−iii1111-1-1-1-1−i−iii−i−iii−i−iiiiiii−i−i−i−i-111-1i−i−ii-1-11111-1-1ii−i−i−i−iii11-1-1-111-1i−i−ii-11i−i
χ281111-1-1-1-111111111−i−iii-1-1-1-1-1-1-1-111-1111−ii-1-1-1-1−i−i−i−iiiii-1-111-1-111ii−i−iii−i−i1111-1-1-1-1−i−iii−i−iii−i−iii−i−i−i−iiiii-1-111i−ii−i-1-111-1-111ii−i−iii−i−i-1-111-1-111i−ii−i1-1−ii
χ291111-1-1-1-111111111−i−iii-1-1-1-1-1-1-1-1-111111i−i-1-1-1-1−i−i−i−iiiii11-1-111-1-1−i−iii−i−iii-1-1-1-11111ii−i−i−i−iiiii−i−i−i−i−i−iiiii-1-111i−ii−i11-1-111-1-1−i−iii−i−iii-1-111-1-111i−ii−i-11i−i
χ301111-1-1-1-111111111−i−iii-1-1-1-1-1-1-1-1-111111i−i-1-1-1-1−i−i−i−iiiii11-1-1-1-111−i−iiiii−i−i-1-1-1-11111ii−i−i−i−iiiii−i−iiiii−i−i−i−i-111-1i−i−ii11-1-1-1-111−i−iiiii−i−i11-1-1-111-1i−i−ii1-1−ii
χ311111-1-1-1-111111111−i−iii-1-1-1-1-1-1-1-1-111111i−i-1-1-1-1−i−i−i−iiiii-1-11111-1-1ii−i−i−i−iii-1-1-1-11111ii−i−i−i−iiiii−i−iiiii−i−i−i−i1-1-11−iii−i-1-11111-1-1ii−i−i−i−iii11-1-11-1-11−iii−i1-1−ii
χ321111-1-1-1-111111111−i−iii-1-1-1-1-1-1-1-1-111111i−i-1-1-1-1−i−i−i−iiiii-1-111-1-111ii−i−iii−i−i-1-1-1-11111ii−i−i−i−iiiii−i−i−i−i−i−iiiii11-1-1−ii−ii-1-111-1-111ii−i−iii−i−i-1-11111-1-1−ii−ii-11i−i
χ33222222222-122-1-12-1222222-1-122-1-12-12-1-1-122-1-1-1-122-1-122-1-100002222000022222-1-1-12-1-1-12-12-1-1-1-1-1-1-1-1-100000000020200220000-1-1-1-10000-1-1-1-100000-10-100-1-10000
χ34222222222-122-1-12-1222222-1-122-1-12-12-1-1-122-1-1-1-122-1-122-1-10000-2-2-2-20000-2-2-2-22-1-1-12-1-1-12-12-1-1-1-1-1-1-1-1-1000000000-20-200-2-200001111000011110000010100110000
χ35222222222-122-1-12-1222222-1-122-1-1-2-1-2-1-1-1-2-2-1-1-1-122-1-122-1-10000222200002222-2111-2111-21-21-1-1-1-11111000000000-20-200-2-20000-1-1-1-10000-1-1-1-10000010100110000
χ36222222222-122-1-12-1222222-1-122-1-1-2-1-2-1-1-1-2-2-1-1-1-122-1-122-1-10000-2-2-2-20000-2-2-2-2-2111-2111-21-21-1-1-1-111110000000002020022000011110000111100000-10-100-1-10000
χ37222222222-122-1-12-1-2-2-2-222-1-122-1-12-12-1-1-1-2-2-1-1-1-1-2-211-2-211000022220000-2-2-2-22-1-1-12-1-1-1-21-211111111100000000020200-2-20000-1-1-1-10000111100000-10-100110000
χ38222222222-122-1-12-1-2-2-2-222-1-122-1-12-12-1-1-1-2-2-1-1-1-1-2-211-2-2110000-2-2-2-2000022222-1-1-12-1-1-1-21-2111111111000000000-20-20022000011110000-1-1-1-10000010100-1-10000
χ39222222222-122-1-12-1-2-2-2-222-1-122-1-1-2-1-2-1-1-122-1-1-1-1-2-211-2-211000022220000-2-2-2-2-2111-21112-12-11111-1-1-1-1000000000-20-200220000-1-1-1-1000011110000010100-1-10000
χ40222222222-122-1-12-1-2-2-2-222-1-122-1-1-2-1-2-1-1-122-1-1-1-1-2-211-2-2110000-2-2-2-200002222-2111-21112-12-11111-1-1-1-100000000020200-2-2000011110000-1-1-1-100000-10-100110000
χ4122222222-12-1-122-122222-1-122-1-1222-12-1-1-122-1-1-1-1-1-122-1-1222222000022220000-12-1-1-12-1-1-12-12-1-1-1-1-1-1-1-10000000020202200-1-1-1-10000-1-1-1-100000000-10-10-1-1000000
χ4222222222-12-1-122-122222-1-122-1-1222-12-1-1-122-1-1-1-1-1-122-1-122-2-2-2-20000-2-2-2-20000-12-1-1-12-1-1-12-12-1-1-1-1-1-1-1-100000000-20-20-2-20011110000111100000000101011000000
χ4322222222-12-1-122-122222-1-122-1-122-2-1-2-1-1-1-2-2-1-1-1-1-1-122-1-12222220000222200001-2111-2111-21-2-1-1-1-1111100000000-20-20-2-200-1-1-1-10000-1-1-1-100000000101011000000
χ4422222222-12-1-122-122222-1-122-1-122-2-1-2-1-1-1-2-2-1-1-1-1-1-122-1-122-2-2-2-20000-2-2-2-200001-2111-2111-21-2-1-1-1-11111000000002020220011110000111100000000-10-10-1-1000000
χ4522222222-12-1-122-12-2-2-2-2-1-122-1-1222-12-1-1-1-2-2-1-1-1-111-2-211-2-222220000-2-2-2-20000-12-1-1-12-1-11-21-211111111000000002020-2-200-1-1-1-10000111100000000-10-1011000000
χ4622222222-12-1-122-12-2-2-2-2-1-122-1-1222-12-1-1-1-2-2-1-1-1-111-2-211-2-2-2-2-2-2000022220000-12-1-1-12-1-11-21-21111111100000000-20-20220011110000-1-1-1-1000000001010-1-1000000
χ4722222222-12-1-122-12-2-2-2-2-1-122-1-122-2-1-2-1-1-122-1-1-1-111-2-211-2-222220000-2-2-2-200001-2111-211-12-121111-1-1-1-100000000-20-202200-1-1-1-100001111000000001010-1-1000000
χ4822222222-12-1-122-12-2-2-2-2-1-122-1-122-2-1-2-1-1-122-1-1-1-111-2-211-2-2-2-2-2-20000222200001-2111-211-12-121111-1-1-1-1000000002020-2-20011110000-1-1-1-100000000-10-1011000000
χ492222-2-2-2-22-122-1-12-12i2i−2i−2i-2-211-2-2112-1-2-1-1-12i−2i11112i2i−i−i−2i−2iii000022-2-200002i2i−2i−2i2-1-1-1-21112i−i−2ii−i−iii−i−iii00000000020-2002i−2i0000-1-1110000−i−iii00000-10100−ii0000
χ502222-2-2-2-22-122-1-12-12i2i−2i−2i-2-211-2-2112-1-2-1-1-12i−2i11112i2i−i−i−2i−2iii0000-2-2220000−2i−2i2i2i2-1-1-1-21112i−i−2ii−i−iii−i−iii000000000-20200−2i2i000011-1-10000ii−i−i0000010-100i−i0000
χ512222-2-2-2-22-122-1-12-12i2i−2i−2i-2-211-2-211-2-12-1-1-1−2i2i11112i2i−i−i−2i−2iii000022-2-200002i2i−2i−2i-21112-1-1-1−2ii2i−i−i−iiiii−i−i000000000-20200−2i2i0000-1-1110000−i−iii0000010-100i−i0000
χ522222-2-2-2-22-122-1-12-12i2i−2i−2i-2-211-2-211-2-12-1-1-1−2i2i11112i2i−i−i−2i−2iii0000-2-2220000−2i−2i2i2i-21112-1-1-1−2ii2i−i−i−iiiii−i−i00000000020-2002i−2i000011-1-10000ii−i−i00000-10100−ii0000
χ532222-2-2-2-22-122-1-12-1−2i−2i2i2i-2-211-2-2112-1-2-1-1-1−2i2i1111−2i−2iii2i2i−i−i000022-2-20000−2i−2i2i2i2-1-1-1-2111−2ii2i−iii−i−iii−i−i00000000020-200−2i2i0000-1-1110000ii−i−i00000-10100i−i0000
χ542222-2-2-2-22-122-1-12-1−2i−2i2i2i-2-211-2-2112-1-2-1-1-1−2i2i1111−2i−2iii2i2i−i−i0000-2-22200002i2i−2i−2i2-1-1-1-2111−2ii2i−iii−i−iii−i−i000000000-202002i−2i000011-1-10000−i−iii0000010-100−ii0000
χ552222-2-2-2-22-122-1-12-1−2i−2i2i2i-2-211-2-211-2-12-1-1-12i−2i1111−2i−2iii2i2i−i−i000022-2-20000−2i−2i2i2i-21112-1-1-12i−i−2iiii−i−i−i−iii000000000-202002i−2i0000-1-1110000ii−i−i0000010-100−ii0000
χ562222-2-2-2-22-122-1-12-1−2i−2i2i2i-2-211-2-211-2-12-1-1-12i−2i1111−2i−2iii2i2i−i−i0000-2-22200002i2i−2i−2i-21112-1-1-12i−i−2iiii−i−i−i−iii00000000020-200−2i2i000011-1-10000−i−iii00000-10100i−i0000
χ572222-2-2-2-2-12-1-122-122i2i−2i−2i11-2-211-2-22-1-2-1-1-12i−2i1111−i−i2i2iii−2i−2i22-2-200002i2i−2i−2i0000-12-1-11-211−i2ii−2i−i−iii−i−iii0000000020-202i−2i00-1-1110000−i−iii00000000-1010−ii000000
χ582222-2-2-2-2-12-1-122-122i2i−2i−2i11-2-211-2-22-1-2-1-1-12i−2i1111−i−i2i2iii−2i−2i-2-2220000−2i−2i2i2i0000-12-1-11-211−i2ii−2i−i−iii−i−iii00000000-2020−2i2i0011-1-10000ii−i−i0000000010-10i−i000000
χ592222-2-2-2-2-12-1-122-122i2i−2i−2i11-2-211-2-2-2-12-1-1-1−2i2i1111−i−i2i2iii−2i−2i22-2-200002i2i−2i−2i00001-211-12-1-1i−2i−i2i−i−iiiii−i−i00000000-2020−2i2i00-1-1110000−i−iii0000000010-10i−i000000
χ602222-2-2-2-2-12-1-122-122i2i−2i−2i11-2-211-2-2-2-12-1-1-1−2i2i1111−i−i2i2iii−2i−2i-2-2220000−2i−2i2i2i00001-211-12-1-1i−2i−i2i−i−iiiii−i−i0000000020-202i−2i0011-1-10000ii−i−i00000000-1010−ii000000
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Here ζ is a primitive root of unity of order 8 (ζ8 = 1); i = ζ2.