Finite Group Databasebeta

← Group #11803286

Character table — Group #11803286

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size1111111122222222222222222222444444444444444444448888888888888888888812121212121212121212121212121212121212121212121212121212121212121818181818181818242424242424242436363636
order1222222233444466666666666666223446666666121212121212121266666666121212121212121212121212224444444444444466661212121212121212121212122222444412121212121212122244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111-1-11-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ61111111111111111111111111111-1-11-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ71111111111111111111111111111-1-11-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ81111111111111111111111111111-1-11-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ91111111111-1-1-1-111111111111111111-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-1
χ101111111111-1-1-1-111111111111111111-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-111
χ111111111111-1-1-1-111111111111111111-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111
χ121111111111-1-1-1-111111111111111111-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-11111-1-1
χ131111111111-1-1-1-111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-1
χ141111111111-1-1-1-111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-111
χ151111111111-1-1-1-111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-111-1-1-1-111
χ161111111111-1-1-1-111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1
χ171111-1-1-1-111ii−i−i1-111-1-1-111-11-1-1-11-11i−i111-1-1-1-1ii−i−iii−i−i1-11-111-1-1i−ii−iii−i−iii−i−i1-11-1i−i1-1i−i1-1i−ii−i11-1-111-1-1ii−i−iii−i−i11-1-1ii−i−i1-1i−i1-1i−i1-1i−i
χ181111-1-1-1-111ii−i−i1-111-1-1-111-11-1-1-11-11i−i111-1-1-1-1ii−i−iii−i−i1-11-111-1-1i−ii−iii−i−iii−i−i1-11-1i−i-11−ii-11i−i−ii11-1-1-1-111ii−i−i−i−iii-1-111−i−iii1-1i−i-11−ii-11−ii
χ191111-1-1-1-111ii−i−i1-111-1-1-111-11-1-1-11-11i−i111-1-1-1-1ii−i−iii−i−i1-11-111-1-1i−ii−iii−i−iii−i−i-11-11−ii1-1i−i1-1−iii−i-1-11111-1-1−i−iiiii−i−i-1-111−i−iii-11−ii1-1i−i-11−ii
χ201111-1-1-1-111ii−i−i1-111-1-1-111-11-1-1-11-11i−i111-1-1-1-1ii−i−iii−i−i1-11-111-1-1i−ii−iii−i−iii−i−i-11-11−ii-11−ii-11−ii−ii-1-111-1-111−i−iii−i−iii11-1-1ii−i−i-11−ii-11−ii1-1i−i
χ211111-1-1-1-111ii−i−i1-111-1-1-111-11-1-1-1-111−ii111-1-1-1-1ii−i−iii−i−i-11-11-1-111−ii−iiii−i−i−i−iii1-1-11−ii1-1i−i-11i−i−ii11-1-1-1-111ii−i−i−i−iii-1-111−i−iii-11−ii1-1i−i1-1i−i
χ221111-1-1-1-111ii−i−i1-111-1-1-111-11-1-1-1-111−ii111-1-1-1-1ii−i−iii−i−i-11-11-1-111−ii−iiii−i−i−i−iii1-1-11−ii-11−ii1-1i−ii−i11-1-111-1-1ii−i−iii−i−i11-1-1ii−i−i-11−ii-11−ii-11−ii
χ231111-1-1-1-111ii−i−i1-111-1-1-111-11-1-1-1-111−ii111-1-1-1-1ii−i−iii−i−i-11-11-1-111−ii−iiii−i−i−i−iii-111-1i−i1-1i−i-11−ii−ii-1-111-1-111−i−iii−i−iii11-1-1ii−i−i1-1i−i1-1i−i-11−ii
χ241111-1-1-1-111ii−i−i1-111-1-1-111-11-1-1-1-111−ii111-1-1-1-1ii−i−iii−i−i-11-11-1-111−ii−iiii−i−i−i−iii-111-1i−i-11−ii1-1−iii−i-1-11111-1-1−i−iiiii−i−i-1-111−i−iii1-1i−i-11−ii1-1i−i
χ251111-1-1-1-111−i−iii1-111-1-1-111-11-1-1-11-11−ii111-1-1-1-1−i−iii−i−iii1-11-111-1-1−ii−ii−i−iii−i−iii1-11-1−ii1-1−ii1-1−ii−ii11-1-111-1-1−i−iii−i−iii11-1-1−i−iii1-1−ii1-1−ii1-1−ii
χ261111-1-1-1-111−i−iii1-111-1-1-111-11-1-1-11-11−ii111-1-1-1-1−i−iii−i−iii1-11-111-1-1−ii−ii−i−iii−i−iii1-11-1−ii-11i−i-11−iii−i11-1-1-1-111−i−iiiii−i−i-1-111ii−i−i1-1−ii-11i−i-11i−i
χ271111-1-1-1-111−i−iii1-111-1-1-111-11-1-1-11-11−ii111-1-1-1-1−i−iii−i−iii1-11-111-1-1−ii−ii−i−iii−i−iii-11-11i−i1-1−ii1-1i−i−ii-1-11111-1-1ii−i−i−i−iii-1-111ii−i−i-11i−i1-1−ii-11i−i
χ281111-1-1-1-111−i−iii1-111-1-1-111-11-1-1-11-11−ii111-1-1-1-1−i−iii−i−iii1-11-111-1-1−ii−ii−i−iii−i−iii-11-11i−i-11i−i-11i−ii−i-1-111-1-111ii−i−iii−i−i11-1-1−i−iii-11i−i-11i−i1-1−ii
χ291111-1-1-1-111−i−iii1-111-1-1-111-11-1-1-1-111i−i111-1-1-1-1−i−iii−i−iii-11-11-1-111i−ii−i−i−iiiii−i−i1-1-11i−i1-1−ii-11−iii−i11-1-1-1-111−i−iiiii−i−i-1-111ii−i−i-11i−i1-1−ii1-1−ii
χ301111-1-1-1-111−i−iii1-111-1-1-111-11-1-1-1-111i−i111-1-1-1-1−i−iii−i−iii-11-11-1-111i−ii−i−i−iiiii−i−i1-1-11i−i-11i−i1-1−ii−ii11-1-111-1-1−i−iii−i−iii11-1-1−i−iii-11i−i-11i−i-11i−i
χ311111-1-1-1-111−i−iii1-111-1-1-111-11-1-1-1-111i−i111-1-1-1-1−i−iii−i−iii-11-11-1-111i−ii−i−i−iiiii−i−i-111-1−ii1-1−ii-11i−ii−i-1-111-1-111ii−i−iii−i−i11-1-1−i−iii1-1−ii1-1−ii-11i−i
χ321111-1-1-1-111−i−iii1-111-1-1-111-11-1-1-1-111i−i111-1-1-1-1−i−iii−i−iii-11-11-1-111i−ii−i−i−iiiii−i−i-111-1−ii-11i−i1-1i−i−ii-1-11111-1-1ii−i−i−i−iii-1-111ii−i−i1-1−ii-11i−i1-1−ii
χ33222222222-1222222-1-1-12-1222-1-12-122-122-1-1-1-1-1-1-12222-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222220000002200-1-1-1-10000-1-1-1-1000000000000-1-1-1-100000000
χ34222222222-1222222-1-1-12-1222-1-12-122-122-1-1-1-1-1-1-12222-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-2-2-2000000-2-200111100001111000000000000111100000000
χ35222222222-1222222-1-1-12-1222-1-12-1-2-2-1-2-2-1-1-1-1-1-1-12222-1-1-1-1-2-211111111-2-2-1-1-1-1111122-2-2-2-20000002200-1-1-1-10000-1-1-1-1000000000000111100000000
χ36222222222-1222222-1-1-12-1222-1-12-1-2-2-1-2-2-1-1-1-1-1-1-12222-1-1-1-1-2-211111111-2-2-1-1-1-11111-2-22222000000-2-200111100001111000000000000-1-1-1-100000000
χ37222222222-1-2-2-2-222-1-1-12-1222-1-12-122-1-2-2-1-1-1-1-1-1-1-2-2-2-2111122-1-1-1-1-1-111-2-2111111112222-2-2000000-2-200-1-1-1-100001111000000000000-1-11100000000
χ38222222222-1-2-2-2-222-1-1-12-1222-1-12-122-1-2-2-1-1-1-1-1-1-1-2-2-2-2111122-1-1-1-1-1-111-2-211111111-2-2-2-222000000220011110000-1-1-1-100000000000011-1-100000000
χ39222222222-1-2-2-2-222-1-1-12-1222-1-12-1-2-2-122-1-1-1-1-1-1-1-2-2-2-21111-2-2111111-1-1221111-1-1-1-122-2-222000000-2-200-1-1-1-10000111100000000000011-1-100000000
χ40222222222-1-2-2-2-222-1-1-12-1222-1-12-1-2-2-122-1-1-1-1-1-1-1-2-2-2-21111-2-2111111-1-1221111-1-1-1-1-2-222-2-2000000220011110000-1-1-1-1000000000000-1-11100000000
χ4122222222-122222-1-1222-12-1-1-122-1222-122-1-1-1-1-1-1-1-1-1-1-12222-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-100000022222200220000-1-1-1-10000-1-1-1-1000000000000-1-1-1-10000
χ4222222222-122222-1-1222-12-1-1-122-1222-122-1-1-1-1-1-1-1-1-1-1-12222-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1000000-2-2-2-2-2-200-2-2000011110000111100000000000011110000
χ4322222222-122222-1-1222-12-1-1-122-12-2-2-1-2-2-1-1-1-1-1-1-1-1-1-1-1222211-2-21111-2-211-1-1-1-111110000002222-2-200-2-20000111100001111000000000000-1-1-1-10000
χ4422222222-122222-1-1222-12-1-1-122-12-2-2-1-2-2-1-1-1-1-1-1-1-1-1-1-1222211-2-21111-2-211-1-1-1-11111000000-2-2-2-22200220000-1-1-1-10000-1-1-1-100000000000011110000
χ4522222222-12-2-2-2-2-1-1222-12-1-1-122-1222-1-2-2-1-1-1-1-1-1-11111-2-2-2-2-1-122-1-1-1-1-2-2111111111100000022-2-22200-2-20000-1-1-1-100001111000000000000-1-1110000
χ4622222222-12-2-2-2-2-1-1222-12-1-1-122-1222-1-2-2-1-1-1-1-1-1-11111-2-2-2-2-1-122-1-1-1-1-2-21111111111000000-2-222-2-20022000011110000-1-1-1-100000000000011-1-10000
χ4722222222-12-2-2-2-2-1-1222-12-1-1-122-12-2-2-122-1-1-1-1-1-1-11111-2-2-2-211-2-2111122-1-11111-1-1-1-100000022-2-2-2-20022000011110000-1-1-1-1000000000000-1-1110000
χ4822222222-12-2-2-2-2-1-1222-12-1-1-122-12-2-2-122-1-1-1-1-1-1-11111-2-2-2-211-2-2111122-1-11111-1-1-1-1000000-2-2222200-2-20000-1-1-1-10000111100000000000011-1-10000
χ492222-2-2-2-22-12i2i−2i−2i2-2-1-11-2122-2-11-212-2-12i−2i-1-1-111112i2i−2i−2i−i−iii2-2-11-1-111−ii2i−2i−i−iii−i−iii2-22-22i−2i0000002i−2i00-1-1110000−i−iii000000000000-11−ii00000000
χ502222-2-2-2-22-12i2i−2i−2i2-2-1-11-2122-2-11-212-2-12i−2i-1-1-111112i2i−2i−2i−i−iii2-2-11-1-111−ii2i−2i−i−iii−i−iii-22-22−2i2i000000−2i2i0011-1-10000ii−i−i0000000000001-1i−i00000000
χ512222-2-2-2-22-12i2i−2i−2i2-2-1-11-2122-2-11-21-22-1−2i2i-1-1-111112i2i−2i−2i−i−iii-221-111-1-1i−i−2i2i−i−iiiii−i−i2-2-22−2i2i0000002i−2i00-1-1110000−i−iii0000000000001-1i−i00000000
χ522222-2-2-2-22-12i2i−2i−2i2-2-1-11-2122-2-11-21-22-1−2i2i-1-1-111112i2i−2i−2i−i−iii-221-111-1-1i−i−2i2i−i−iiiii−i−i-222-22i−2i000000−2i2i0011-1-10000ii−i−i000000000000-11−ii00000000
χ532222-2-2-2-22-1−2i−2i2i2i2-2-1-11-2122-2-11-212-2-1−2i2i-1-1-11111−2i−2i2i2iii−i−i2-2-11-1-111i−i−2i2iii−i−iii−i−i2-22-2−2i2i000000−2i2i00-1-1110000ii−i−i000000000000-11i−i00000000
χ542222-2-2-2-22-1−2i−2i2i2i2-2-1-11-2122-2-11-212-2-1−2i2i-1-1-11111−2i−2i2i2iii−i−i2-2-11-1-111i−i−2i2iii−i−iii−i−i-22-222i−2i0000002i−2i0011-1-10000−i−iii0000000000001-1−ii00000000
χ552222-2-2-2-22-1−2i−2i2i2i2-2-1-11-2122-2-11-21-22-12i−2i-1-1-11111−2i−2i2i2iii−i−i-221-111-1-1−ii2i−2iii−i−i−i−iii2-2-222i−2i000000−2i2i00-1-1110000ii−i−i0000000000001-1−ii00000000
χ562222-2-2-2-22-1−2i−2i2i2i2-2-1-11-2122-2-11-21-22-12i−2i-1-1-11111−2i−2i2i2iii−i−i-221-111-1-1−ii2i−2iii−i−i−i−iii-222-2−2i2i0000002i−2i0011-1-10000−i−iii000000000000-11i−i00000000
χ572222-2-2-2-2-122i2i−2i−2i-1122-21-2-1-112-21-22-2-12i−2i-1-1-11111−i−iii2i2i−2i−2i-112-2-1-1112i−2i−ii−i−iii−i−iii0000002-22i−2i2-2002i−2i0000-1-1110000−i−iii000000000000-11−ii0000
χ582222-2-2-2-2-122i2i−2i−2i-1122-21-2-1-112-21-22-2-12i−2i-1-1-11111−i−iii2i2i−2i−2i-112-2-1-1112i−2i−ii−i−iii−i−iii000000-22−2i2i-2200−2i2i000011-1-10000ii−i−i0000000000001-1i−i0000
χ592222-2-2-2-2-122i2i−2i−2i-1122-21-2-1-112-21-2-22-1−2i2i-1-1-11111−i−iii2i2i−2i−2i1-1-2211-1-1−2i2ii−i−i−iiiii−i−i0000002-22i−2i-2200−2i2i000011-1-10000ii−i−i000000000000-11−ii0000
χ602222-2-2-2-2-122i2i−2i−2i-1122-21-2-1-112-21-2-22-1−2i2i-1-1-11111−i−iii2i2i−2i−2i1-1-2211-1-1−2i2ii−i−i−iiiii−i−i000000-22−2i2i2-2002i−2i0000-1-1110000−i−iii0000000000001-1i−i0000
χ612222-2-2-2-2-12−2i−2i2i2i-1122-21-2-1-112-21-22-2-1−2i2i-1-1-11111ii−i−i−2i−2i2i2i-112-2-1-111−2i2ii−iii−i−iii−i−i0000002-2−2i2i2-200−2i2i0000-1-1110000ii−i−i000000000000-11i−i0000
χ622222-2-2-2-2-12−2i−2i2i2i-1122-21-2-1-112-21-22-2-1−2i2i-1-1-11111ii−i−i−2i−2i2i2i-112-2-1-111−2i2ii−iii−i−iii−i−i000000-222i−2i-22002i−2i000011-1-10000−i−iii0000000000001-1−ii0000
χ632222-2-2-2-2-12−2i−2i2i2i-1122-21-2-1-112-21-2-22-12i−2i-1-1-11111ii−i−i−2i−2i2i2i1-1-2211-1-12i−2i−iiii−i−i−i−iii0000002-2−2i2i-22002i−2i000011-1-10000−i−iii000000000000-11i−i0000
χ642222-2-2-2-2-12−2i−2i2i2i-1122-21-2-1-112-21-2-22-12i−2i-1-1-11111ii−i−i−2i−2i2i2i1-1-2211-1-12i−2i−iiii−i−i−i−iii000000-222i−2i2-200−2i2i0000-1-1110000ii−i−i0000000000001-1−ii0000
χ6522-2-222-2-2222i−2i2i−2i-222-22-2-22-22-22-2-2002002-2-222-2-22i−2i2i−2i2i−2i2i−2i0000000000002i−2i2i−2i0000000000000000000000000000000000002-22-22i−2i2i−2i000000000000
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Here i is the imaginary unit (i² = −1).