Finite Group Databasebeta

← Group #11861522

Character table — Group #11861522

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size11111111222222222222222222224444444444444444444466666666888888888888888888881212121212121212121212121212121212121212121212121212121218181818181818181818181824242424242424243636
order1222444433666666888812121212121212123446668812121212242424242424242444444444121212121212121224242424242424242424242444448888888812121212121212122424242424242424224444448888121212122424242488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111
χ511111111111111111111111111111-1-1111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111
χ611111111111111111111111111111-1-1111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-111-1-1
χ711111111111111111111111111111-1-1111-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1111111-1-111-1-1-1-1
χ811111111111111111111111111111-1-1111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111
χ91111111111111111-1-1-1-111111111111111-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1
χ101111111111111111-1-1-1-111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111
χ111111111111111111-1-1-1-111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111
χ121111111111111111-1-1-1-111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1
χ131111111111111111-1-1-1-1111111111-1-1111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ141111111111111111-1-1-1-1111111111-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-111
χ151111111111111111-1-1-1-1111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111
χ161111111111111111-1-1-1-1111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1
χ171111-1-1-1-111111111ii−i−i-1-1-1-1-1-1-1-111-1111i−i-1-1-1-1iiii−i−i−i−i11-1-111-1-111-1-111-1-1ii−i−iii−i−iii−i−i1-11-1i−ii−ii−ii−i11-1-111-1-1ii−i−iii−i−i11-1-111-1-1ii−i−i1-11-1i−ii−ii−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−i11-1-1-1-11111-1-111-1-1ii−i−iii−i−iii−i−i1-1-11i−ii−i−ii−ii11-1-1-1-111ii−i−i−i−iii-1-111-1-111−i−iii1-1-11i−i−ii−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-1-11111-1-111-1-111-1-1ii−i−iii−i−iii−i−i-111-1−ii−iii−ii−i-1-11111-1-1−i−iiiii−i−i-1-111-1-111−i−iii-111-1−iii−i−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-1-111-1-11111-1-111-1-1ii−i−iii−i−iii−i−i-11-11−ii−ii−ii−ii-1-111-1-111−i−iii−i−iii11-1-111-1-1ii−i−i-11-11−ii−iii−i
χ211111-1-1-1-111111111ii−i−i-1-1-1-1-1-1-1-11-11111−ii-1-1-1-1iiii−i−i−i−i11-1-111-1-1-1-111-1-111−i−iiiii−i−i−i−iii-11-11i−i−iii−i−ii11-1-111-1-1ii−i−iii−i−i-1-11111-1-1−i−iii-11-11−ii−iii−i
χ221111-1-1-1-111111111ii−i−i-1-1-1-1-1-1-1-11-11111−ii-1-1-1-1iiii−i−i−i−i11-1-1-1-111-1-111-1-111−i−iiiii−i−i−i−iii-111-1i−i−ii−iii−i11-1-1-1-111ii−i−i−i−iii11-1-1-1-111ii−i−i-111-1−iii−i−ii
χ231111-1-1-1-111111111ii−i−i-1-1-1-1-1-1-1-11-11111−ii-1-1-1-1iiii−i−i−i−i-1-11111-1-1-1-111-1-111−i−iiiii−i−i−i−iii1-1-11−iii−ii−i−ii-1-11111-1-1−i−iiiii−i−i11-1-1-1-111ii−i−i1-1-11i−i−ii−ii
χ241111-1-1-1-111111111ii−i−i-1-1-1-1-1-1-1-11-11111−ii-1-1-1-1iiii−i−i−i−i-1-111-1-111-1-111-1-111−i−iiiii−i−i−i−iii1-11-1−iii−i−iii−i-1-111-1-111−i−iii−i−iii-1-11111-1-1−i−iii1-11-1i−ii−ii−i
χ251111-1-1-1-111111111−i−iii-1-1-1-1-1-1-1-111-1111−ii-1-1-1-1−i−i−i−iiiii11-1-111-1-111-1-111-1-1−i−iii−i−iii−i−iii1-11-1−ii−ii−ii−ii11-1-111-1-1−i−iii−i−iii11-1-111-1-1−i−iii1-11-1−ii−ii−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−iiiii11-1-1-1-11111-1-111-1-1−i−iii−i−iii−i−iii1-1-11−ii−iii−ii−i11-1-1-1-111−i−iiiii−i−i-1-111-1-111ii−i−i1-1-11−iii−ii−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-1-11111-1-111-1-111-1-1−i−iii−i−iii−i−iii-111-1i−ii−i−ii−ii-1-11111-1-1ii−i−i−i−iii-1-111-1-111ii−i−i-111-1i−i−iii−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-1-111-1-11111-1-111-1-1−i−iii−i−iii−i−iii-11-11i−ii−ii−ii−i-1-111-1-111ii−i−iii−i−i11-1-111-1-1−i−iii-11-11i−ii−i−ii
χ291111-1-1-1-111111111−i−iii-1-1-1-1-1-1-1-11-11111i−i-1-1-1-1−i−i−i−iiiii11-1-111-1-1-1-111-1-111ii−i−i−i−iiiii−i−i-11-11−iii−i−iii−i11-1-111-1-1−i−iii−i−iii-1-11111-1-1ii−i−i-11-11i−ii−i−ii
χ301111-1-1-1-111111111−i−iii-1-1-1-1-1-1-1-11-11111i−i-1-1-1-1−i−i−i−iiiii11-1-1-1-111-1-111-1-111ii−i−i−i−iiiii−i−i-111-1−iii−ii−i−ii11-1-1-1-111−i−iiiii−i−i11-1-1-1-111−i−iii-111-1i−i−iii−i
χ311111-1-1-1-111111111−i−iii-1-1-1-1-1-1-1-11-11111i−i-1-1-1-1−i−i−i−iiiii-1-11111-1-1-1-111-1-111ii−i−i−i−iiiii−i−i1-1-11i−i−ii−iii−i-1-11111-1-1ii−i−i−i−iii11-1-1-1-111−i−iii1-1-11−iii−ii−i
χ321111-1-1-1-111111111−i−iii-1-1-1-1-1-1-1-11-11111i−i-1-1-1-1−i−i−i−iiiii-1-111-1-111-1-111-1-111ii−i−i−i−iiiii−i−i1-11-1i−i−iii−i−ii-1-111-1-111ii−i−iii−i−i-1-11111-1-1ii−i−i1-11-1−ii−ii−ii
χ33222222222-12-122-1-1222222-1-122-1-1-122-1-1-122-1-1-1-122-1-122-1-1000022222-12-1-1-1-1-12-12-1-1-1-1-1-1-1-1-10022000022220000-1-1-1-10000-1-1-1-100000000000000-1-100-1-100
χ34222222222-12-122-1-1222222-1-122-1-1-122-1-1-122-1-1-1-122-1-122-1-10000-2-2-2-22-12-1-1-1-1-12-12-1-1-1-1-1-1-1-1-100-2-20000-2-2-2-200001111000011110000000000000011001100
χ35222222222-12-122-1-1222222-1-122-1-1-1-2-2-1-1-1-2-2-1-1-1-122-1-122-1-100002222-21-211111-21-21-1-1-1-1111100-2-2000022-2-20000-1-1-1-10000-1-1-1-10000000000000011001100
χ36222222222-12-122-1-1222222-1-122-1-1-1-2-2-1-1-1-2-2-1-1-1-122-1-122-1-10000-2-2-2-2-21-211111-21-21-1-1-1-1111100220000-2-222000011110000111100000000000000-1-100-1-100
χ37222222222-12-122-1-1-2-2-2-222-1-122-1-1-122-1-1-1-2-2-1-1-1-1-2-211-2-211000022222-12-1-1-1-1-1-21-211111111100220000-2-2-2-20000-1-1-1-10000111100000000000000-1-1001100
χ38222222222-12-122-1-1-2-2-2-222-1-122-1-1-122-1-1-1-2-2-1-1-1-1-2-211-2-2110000-2-2-2-22-12-1-1-1-1-1-21-211111111100-2-200002222000011110000-1-1-1-1000000000000001100-1-100
χ39222222222-12-122-1-1-2-2-2-222-1-122-1-1-1-2-2-1-1-122-1-1-1-1-2-211-2-21100002222-21-2111112-12-11111-1-1-1-100-2-20000-2-2220000-1-1-1-100001111000000000000001100-1-100
χ40222222222-12-122-1-1-2-2-2-222-1-122-1-1-1-2-2-1-1-122-1-1-1-1-2-211-2-2110000-2-2-2-2-21-2111112-12-11111-1-1-1-10022000022-2-2000011110000-1-1-1-100000000000000-1-1001100
χ4122222222-12-12-1-1222222-1-122-1-122-122-1-1-122-1-1-1-1-1-122-1-12222220000-12-12-1-1-1-1-12-12-1-1-1-1-1-1-1-1220022220000-1-1-1-10000-1-1-1-10000000000000000-1-100-1-10000
χ4222222222-12-12-1-1222222-1-122-1-122-122-1-1-122-1-1-1-1-1-122-1-122-2-2-2-20000-12-12-1-1-1-1-12-12-1-1-1-1-1-1-1-1-2-200-2-2-2-2000011110000111100000000000000001100110000
χ4322222222-12-12-1-1222222-1-122-1-122-1-2-2-1-1-1-2-2-1-1-1-1-1-122-1-122222200001-21-211111-21-2-1-1-1-11111-2-20022-2-20000-1-1-1-10000-1-1-1-100000000000000001100110000
χ4422222222-12-12-1-1222222-1-122-1-122-1-2-2-1-1-1-2-2-1-1-1-1-1-122-1-122-2-2-2-200001-21-211111-21-2-1-1-1-111112200-2-22200001111000011110000000000000000-1-100-1-10000
χ4522222222-12-12-1-122-2-2-2-2-1-122-1-122-122-1-1-1-2-2-1-1-1-111-2-211-2-222220000-12-12-1-1-1-11-21-2111111112200-2-2-2-20000-1-1-1-1000011110000000000000000-1-100110000
χ4622222222-12-12-1-122-2-2-2-2-1-122-1-122-122-1-1-1-2-2-1-1-1-111-2-211-2-2-2-2-2-20000-12-12-1-1-1-11-21-211111111-2-2002222000011110000-1-1-1-100000000000000001100-1-10000
χ4722222222-12-12-1-122-2-2-2-2-1-122-1-122-1-2-2-1-1-122-1-1-1-111-2-211-2-2222200001-21-21111-12-121111-1-1-1-1-2-200-2-2220000-1-1-1-10000111100000000000000001100-1-10000
χ4822222222-12-12-1-122-2-2-2-2-1-122-1-122-1-2-2-1-1-122-1-1-1-111-2-211-2-2-2-2-2-200001-21-21111-12-121111-1-1-1-1220022-2-2000011110000-1-1-1-10000000000000000-1-100110000
χ492222-2-2-2-22-12-122-1-12i2i−2i−2i-2-211-2-211-12-2-1-1-12i−2i11112i2i−i−i−2i−2iii000022-2-22-1-21-1-1112i−i−2ii−i−iii−i−iii002-200002i−2i2i−2i0000-1-1110000−i−iii00000000000000-1100−ii00
χ502222-2-2-2-22-12-122-1-12i2i−2i−2i-2-211-2-211-12-2-1-1-12i−2i11112i2i−i−i−2i−2iii0000-2-2222-1-21-1-1112i−i−2ii−i−iii−i−iii00-220000−2i2i−2i2i000011-1-10000ii−i−i000000000000001-100i−i00
χ512222-2-2-2-22-12-122-1-12i2i−2i−2i-2-211-2-211-1-22-1-1-1−2i2i11112i2i−i−i−2i−2iii000022-2-2-212-111-1-1−2ii2i−i−i−iiiii−i−i00-2200002i−2i−2i2i0000-1-1110000−i−iii000000000000001-100i−i00
χ522222-2-2-2-22-12-122-1-12i2i−2i−2i-2-211-2-211-1-22-1-1-1−2i2i11112i2i−i−i−2i−2iii0000-2-222-212-111-1-1−2ii2i−i−i−iiiii−i−i002-20000−2i2i2i−2i000011-1-10000ii−i−i00000000000000-1100−ii00
χ532222-2-2-2-22-12-122-1-1−2i−2i2i2i-2-211-2-211-12-2-1-1-1−2i2i1111−2i−2iii2i2i−i−i000022-2-22-1-21-1-111−2ii2i−iii−i−iii−i−i002-20000−2i2i−2i2i0000-1-1110000ii−i−i00000000000000-1100i−i00
χ542222-2-2-2-22-12-122-1-1−2i−2i2i2i-2-211-2-211-12-2-1-1-1−2i2i1111−2i−2iii2i2i−i−i0000-2-2222-1-21-1-111−2ii2i−iii−i−iii−i−i00-2200002i−2i2i−2i000011-1-10000−i−iii000000000000001-100−ii00
χ552222-2-2-2-22-12-122-1-1−2i−2i2i2i-2-211-2-211-1-22-1-1-12i−2i1111−2i−2iii2i2i−i−i000022-2-2-212-111-1-12i−i−2iiii−i−i−i−iii00-220000−2i2i2i−2i0000-1-1110000ii−i−i000000000000001-100−ii00
χ562222-2-2-2-22-12-122-1-1−2i−2i2i2i-2-211-2-211-1-22-1-1-12i−2i1111−2i−2iii2i2i−i−i0000-2-222-212-111-1-12i−i−2iiii−i−i−i−iii002-200002i−2i−2i2i000011-1-10000−i−iii00000000000000-1100i−i00
χ572222-2-2-2-2-12-12-1-1222i2i−2i−2i11-2-211-2-2-12-2-1-1-12i−2i1111−i−i2i2iii−2i−2i22-2-20000-121-2-1-111−i2ii−2i−i−iii−i−iii2-2002i−2i2i−2i0000-1-1110000−i−iii0000000000000000-1100−ii0000
χ582222-2-2-2-2-12-12-1-1222i2i−2i−2i11-2-211-2-2-12-2-1-1-12i−2i1111−i−i2i2iii−2i−2i-2-2220000-121-2-1-111−i2ii−2i−i−iii−i−iii-2200−2i2i−2i2i000011-1-10000ii−i−i00000000000000001-100i−i0000
χ592222-2-2-2-2-12-12-1-1222i2i−2i−2i11-2-211-2-2-1-22-1-1-1−2i2i1111−i−i2i2iii−2i−2i22-2-200001-2-1211-1-1i−2i−i2i−i−iiiii−i−i-22002i−2i−2i2i0000-1-1110000−i−iii00000000000000001-100i−i0000
χ602222-2-2-2-2-12-12-1-1222i2i−2i−2i11-2-211-2-2-1-22-1-1-1−2i2i1111−i−i2i2iii−2i−2i-2-22200001-2-1211-1-1i−2i−i2i−i−iiiii−i−i2-200−2i2i2i−2i000011-1-10000ii−i−i0000000000000000-1100−ii0000
χ612222-2-2-2-2-12-12-1-122−2i−2i2i2i11-2-211-2-2-12-2-1-1-1−2i2i1111ii−2i−2i−i−i2i2i22-2-20000-121-2-1-111i−2i−i2iii−i−iii−i−i2-200−2i2i−2i2i0000-1-1110000ii−i−i0000000000000000-1100i−i0000
χ622222-2-2-2-2-12-12-1-122−2i−2i2i2i11-2-211-2-2-12-2-1-1-1−2i2i1111ii−2i−2i−i−i2i2i-2-2220000-121-2-1-111i−2i−i2iii−i−iii−i−i-22002i−2i2i−2i000011-1-10000−i−iii00000000000000001-100−ii0000
χ632222-2-2-2-2-12-12-1-122−2i−2i2i2i11-2-211-2-2-1-22-1-1-12i−2i1111ii−2i−2i−i−i2i2i22-2-200001-2-1211-1-1−i2ii−2iii−i−i−i−iii-2200−2i2i2i−2i0000-1-1110000ii−i−i00000000000000001-100−ii0000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.