Finite Group Databasebeta

← Group #11859541

Character table — Group #11859541

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size1111111122222222222222222222444444444444444444448888888888888888888812121212121212121212121212121212121212121212121212121212121212121818181818181818242424242424242436363636
order1222444433666666888812121212121212123446668812121212242424242424242412121212121212122424242424242424242424242222444466668888888812121212242424242424242422448888661212242424244488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-11-11-1-111-1-1-1-1
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
χ511111111111111111111111111111-1-1111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-11-11-11-1111111-1-111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ611111111111111111111111111111-1-1111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-111-1-1111-1-111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1111111
χ711111111111111111111111111111-1-1111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-111-1-1-111-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11-11-111-1-11111
χ811111111111111111111111111111-1-1111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11-11-11-11-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ91111111111111111-1-1-1-111111111111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1
χ101111111111111111-1-1-1-111111111111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111111-11-1-1-111-1-111
χ111111111111111111-1-1-1-111111111111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-11-1111-1-1-1-111
χ121111111111111111-1-1-1-111111111111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1
χ131111111111111111-1-1-1-1111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111-11-11-11-11111-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111
χ141111111111111111-1-1-1-1111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111-1-111-1-1111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-11111-11-1111-1-111-1-1
χ151111111111111111-1-1-1-1111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-111-1-111-1-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111111-11-1-1-11111-1-1
χ161111111111111111-1-1-1-1111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-11-11-11-11-1-1-1-111-1-111-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-111
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−iii−i−i1111-1-1-1-11111i−ii−ii−ii−i-1-1-1-1ii−i−iii−i−i-1-111ii−i−i11-1-1i−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−i11-1-111-1-1ii−i−iii−i−iii−i−i11-1-1-1-11111-1-1i−ii−i−ii−ii-1-111ii−i−i−i−iii11-1-1−i−iii1-1-11i−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−i11-1-111-1-1ii−i−iii−i−iii−i−i-1-11111-1-1-1-111−ii−iii−ii−i11-1-1−i−iiiii−i−i11-1-1−i−iii-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−i11-1-111-1-1ii−i−iii−i−iii−i−i-1-1-1-11111-1-1-1-1−ii−ii−ii−ii1111−i−iii−i−iii-1-111ii−i−i-1-111−ii−ii1-1i−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−i-1-111-1-111−i−iiiii−i−i−i−iii1-11-1-11-111111i−i−iii−i−ii-1-1-1-1ii−i−iii−i−i-1-111ii−i−i-1-111−ii−ii-11−ii
χ221111-1-1-1-111111111ii−i−i-1-1-1-1-1-1-1-11-11111−ii-1-1-1-1iiii−i−i−i−i-1-111-1-111−i−iiiii−i−i−i−iii1-1-11-111-111-1-1i−i−ii−iii−i-1-111ii−i−i−i−iii11-1-1−i−iii-111-1−iii−i1-1i−i
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-1-111-1-111−i−iiiii−i−i−i−iii-111-11-1-11-1-111−iii−ii−i−ii11-1-1−i−iiiii−i−i11-1-1−i−iii1-1-11i−i−ii1-1i−i
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−i−iiiii−i−i−i−iii-11-111-11-1-1-1-1-1−iii−i−iii−i1111−i−iii−i−iii-1-111ii−i−i11-1-1i−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−iii−i−iii1111-1-1-1-11111−ii−ii−ii−ii-1-1-1-1−i−iii−i−iii-1-111−i−iii11-1-1−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−iiiii11-1-111-1-1−i−iii−i−iii−i−iii11-1-1-1-11111-1-1−ii−iii−ii−i-1-111−i−iiiii−i−i11-1-1ii−i−i1-1-11−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−iiiii11-1-111-1-1−i−iii−i−iii−i−iii-1-11111-1-1-1-111i−ii−i−ii−ii11-1-1ii−i−i−i−iii11-1-1ii−i−i-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−iiiii11-1-111-1-1−i−iii−i−iii−i−iii-1-1-1-11111-1-1-1-1i−ii−ii−ii−i1111ii−i−iii−i−i-1-111−i−iii-1-111i−ii−i1-1−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−iiiii-1-111-1-111ii−i−i−i−iiiii−i−i1-11-1-11-111111−iii−i−iii−i-1-1-1-1−i−iii−i−iii-1-111−i−iii-1-111i−ii−i-11i−i
χ301111-1-1-1-111111111−i−iii-1-1-1-1-1-1-1-11-11111i−i-1-1-1-1−i−i−i−iiiii-1-111-1-111ii−i−i−i−iiiii−i−i1-1-11-111-111-1-1−iii−ii−i−ii-1-111−i−iiiii−i−i11-1-1ii−i−i-111-1i−i−ii1-1−ii
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-1-111-1-111ii−i−i−i−iiiii−i−i-111-11-1-11-1-111i−i−ii−iii−i11-1-1ii−i−i−i−iii11-1-1ii−i−i1-1-11−iii−i1-1−ii
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-1-111-1-111ii−i−i−i−iiiii−i−i-11-111-11-1-1-1-1-1i−i−iii−i−ii1111ii−i−iii−i−i-1-111−i−iii11-1-1−ii−ii-11i−i
χ33222222222-122-1-12-1222222-1-122-1-1-122-1-1-122-1-1-1-122-1-122-1-12-12-1-1-1-1-12-12-1-1-1-1-1-1-1-1-10022002200-1-10000222200-1-10000-1-1-1-1000000000-10-100-1-10000
χ34222222222-122-1-12-1222222-1-122-1-1-122-1-1-122-1-1-1-122-1-122-1-12-12-1-1-1-1-12-12-1-1-1-1-1-1-1-1-100-2-200-2-200110000-2-2-2-200110000111100000000010100110000
χ35222222222-122-1-12-1222222-1-122-1-1-1-2-2-1-1-1-2-2-1-1-1-122-1-122-1-1-21-211111-21-21-1-1-1-11111002-2002-200-1-1000022-2-200-1-10000-1-1-1-100000000010100110000
χ36222222222-122-1-12-1222222-1-122-1-1-1-2-2-1-1-1-2-2-1-1-1-122-1-122-1-1-21-211111-21-21-1-1-1-1111100-2200-2200110000-2-222001100001111000000000-10-100-1-10000
χ37222222222-122-1-12-1-2-2-2-222-1-122-1-1-122-1-1-1-2-2-1-1-1-1-2-211-2-2112-12-1-1-1-1-1-21-21111111110022002200-1-10000-2-2-2-200-1-100001111000000000-10-100110000
χ38222222222-122-1-12-1-2-2-2-222-1-122-1-1-122-1-1-1-2-2-1-1-1-1-2-211-2-2112-12-1-1-1-1-1-21-211111111100-2-200-2-200110000222200110000-1-1-1-100000000010100-1-10000
χ39222222222-122-1-12-1-2-2-2-222-1-122-1-1-1-2-2-1-1-122-1-1-1-1-2-211-2-211-21-2111112-12-11111-1-1-1-1002-2002-200-1-10000-2-22200-1-10000111100000000010100-1-10000
χ40222222222-122-1-12-1-2-2-2-222-1-122-1-1-1-2-2-1-1-122-1-1-1-1-2-211-2-211-21-2111112-12-11111-1-1-1-100-2200-220011000022-2-200110000-1-1-1-1000000000-10-100110000
χ4122222222-12-1-122-122222-1-122-1-122-122-1-1-122-1-1-1-1-1-122-1-122-12-12-1-1-1-1-12-12-1-1-1-1-1-1-1-122002200-1-10022220000-1-100-1-1-1-1000000000000-10-10-1-1000000
χ4222222222-12-1-122-122222-1-122-1-122-122-1-1-122-1-1-1-1-1-122-1-122-12-12-1-1-1-1-12-12-1-1-1-1-1-1-1-1-2-200-2-2001100-2-2-2-2000011001111000000000000101011000000
χ4322222222-12-1-122-122222-1-122-1-122-1-2-2-1-1-1-2-2-1-1-1-1-1-122-1-1221-21-211111-21-2-1-1-1-111112-2002-200-1-10022-2-20000-1-100-1-1-1-1000000000000101011000000
χ4422222222-12-1-122-122222-1-122-1-122-1-2-2-1-1-1-2-2-1-1-1-1-1-122-1-1221-21-211111-21-2-1-1-1-11111-2200-22001100-2-222000011001111000000000000-10-10-1-1000000
χ4522222222-12-1-122-12-2-2-2-2-1-122-1-122-122-1-1-1-2-2-1-1-1-111-2-211-2-2-12-12-1-1-1-11-21-21111111122002200-1-100-2-2-2-20000-1-1001111000000000000-10-1011000000
χ4622222222-12-1-122-12-2-2-2-2-1-122-1-122-122-1-1-1-2-2-1-1-1-111-2-211-2-2-12-12-1-1-1-11-21-211111111-2-200-2-2001100222200001100-1-1-1-10000000000001010-1-1000000
χ4722222222-12-1-122-12-2-2-2-2-1-122-1-122-1-2-2-1-1-122-1-1-1-111-2-211-2-21-21-21111-12-121111-1-1-1-12-2002-200-1-100-2-2220000-1-10011110000000000001010-1-1000000
χ4822222222-12-1-122-12-2-2-2-2-1-122-1-122-1-2-2-1-1-122-1-1-1-111-2-211-2-21-21-21111-12-121111-1-1-1-1-2200-2200110022-2-200001100-1-1-1-1000000000000-10-1011000000
χ492222-2-2-2-22-122-1-12-12i2i−2i−2i-2-211-2-211-12-2-1-1-12i−2i11112i2i−i−i−2i−2iii2-1-21-1-1112i−i−2ii−i−iii−i−iii002200-2-200-1-100002i−2i2i−2i00110000−i−iii000000000-10100−ii0000
χ502222-2-2-2-22-122-1-12-12i2i−2i−2i-2-211-2-211-12-2-1-1-12i−2i11112i2i−i−i−2i−2iii2-1-21-1-1112i−i−2ii−i−iii−i−iii00-2-2002200110000−2i2i−2i2i00-1-10000ii−i−i00000000010-100i−i0000
χ512222-2-2-2-22-122-1-12-12i2i−2i−2i-2-211-2-211-1-22-1-1-1−2i2i11112i2i−i−i−2i−2iii-212-111-1-1−2ii2i−i−i−iiiii−i−i002-200-2200-1-100002i−2i−2i2i00110000−i−iii00000000010-100i−i0000
χ522222-2-2-2-22-122-1-12-12i2i−2i−2i-2-211-2-211-1-22-1-1-1−2i2i11112i2i−i−i−2i−2iii-212-111-1-1−2ii2i−i−i−iiiii−i−i00-22002-200110000−2i2i2i−2i00-1-10000ii−i−i000000000-10100−ii0000
χ532222-2-2-2-22-122-1-12-1−2i−2i2i2i-2-211-2-211-12-2-1-1-1−2i2i1111−2i−2iii2i2i−i−i2-1-21-1-111−2ii2i−iii−i−iii−i−i002200-2-200-1-10000−2i2i−2i2i00110000ii−i−i000000000-10100i−i0000
χ542222-2-2-2-22-122-1-12-1−2i−2i2i2i-2-211-2-211-12-2-1-1-1−2i2i1111−2i−2iii2i2i−i−i2-1-21-1-111−2ii2i−iii−i−iii−i−i00-2-20022001100002i−2i2i−2i00-1-10000−i−iii00000000010-100−ii0000
χ552222-2-2-2-22-122-1-12-1−2i−2i2i2i-2-211-2-211-1-22-1-1-12i−2i1111−2i−2iii2i2i−i−i-212-111-1-12i−i−2iiii−i−i−i−iii002-200-2200-1-10000−2i2i2i−2i00110000ii−i−i00000000010-100−ii0000
χ562222-2-2-2-22-122-1-12-1−2i−2i2i2i-2-211-2-211-1-22-1-1-12i−2i1111−2i−2iii2i2i−i−i-212-111-1-12i−i−2iiii−i−i−i−iii00-22002-2001100002i−2i−2i2i00-1-10000−i−iii000000000-10100i−i0000
χ572222-2-2-2-2-12-1-122-122i2i−2i−2i11-2-211-2-2-12-2-1-1-12i−2i1111−i−i2i2iii−2i−2i-121-2-1-111−i2ii−2i−i−iii−i−iii2200-2-200-1-1002i−2i2i−2i00001100−i−iii000000000000-1010−ii000000
χ582222-2-2-2-2-12-1-122-122i2i−2i−2i11-2-211-2-2-12-2-1-1-12i−2i1111−i−i2i2iii−2i−2i-121-2-1-111−i2ii−2i−i−iii−i−iii-2-20022001100−2i2i−2i2i0000-1-100ii−i−i00000000000010-10i−i000000
χ592222-2-2-2-2-12-1-122-122i2i−2i−2i11-2-211-2-2-1-22-1-1-1−2i2i1111−i−i2i2iii−2i−2i1-2-1211-1-1i−2i−i2i−i−iiiii−i−i2-200-2200-1-1002i−2i−2i2i00001100−i−iii00000000000010-10i−i000000
χ602222-2-2-2-2-12-1-122-122i2i−2i−2i11-2-211-2-2-1-22-1-1-1−2i2i1111−i−i2i2iii−2i−2i1-2-1211-1-1i−2i−i2i−i−iiiii−i−i-22002-2001100−2i2i2i−2i0000-1-100ii−i−i000000000000-1010−ii000000
χ612222-2-2-2-2-12-1-122-12−2i−2i2i2i11-2-211-2-2-12-2-1-1-1−2i2i1111ii−2i−2i−i−i2i2i-121-2-1-111i−2i−i2iii−i−iii−i−i2200-2-200-1-100−2i2i−2i2i00001100ii−i−i000000000000-1010i−i000000
χ622222-2-2-2-2-12-1-122-12−2i−2i2i2i11-2-211-2-2-12-2-1-1-1−2i2i1111ii−2i−2i−i−i2i2i-121-2-1-111i−2i−i2iii−i−iii−i−i-2-200220011002i−2i2i−2i0000-1-100−i−iii00000000000010-10−ii000000
χ632222-2-2-2-2-12-1-122-12−2i−2i2i2i11-2-211-2-2-1-22-1-1-12i−2i1111ii−2i−2i−i−i2i2i1-2-1211-1-1−i2ii−2iii−i−i−i−iii2-200-2200-1-100−2i2i2i−2i00001100ii−i−i00000000000010-10−ii000000
χ642222-2-2-2-2-12-1-122-12−2i−2i2i2i11-2-211-2-2-1-22-1-1-12i−2i1111ii−2i−2i−i−i2i2i1-2-1211-1-1−i2ii−2iii−i−i−i−iii-22002-20011002i−2i−2i2i0000-1-100−i−iii000000000000-1010i−i000000
χ652-2-2222-2-222-2-2-2-2222i−2i2i−2i2222-2-2-2-22002-2-20022-2-22i−2i2i−2i2i−2i2i−2i0000000000002i−2i2i−2i0000000000000000000000000000000000002-22-22i−2i2i−2i000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.