Finite Group Databasebeta

← Group #11859537

Character table — Group #11859537

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size1111111122222222222222222222444444444444444444448888888888888888888812121212121212121212121212121212121212121212121212121212121212121818181818181818242424242424242436363636
order12224444336666668888121212121212121223466688121212122424242424242424666612121212242424242424242424242424224444446666888888881212121224242424242424242244888812121212242424242488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111-111-1-11-111-1-111-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-11-1-111-11-1-111-1-111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1
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
χ51111111111111111111111111111-11-1111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111-11-1111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-1111-111-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111
χ71111111111111111111111111111-11-1111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1111-1-1-11-1-11111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-11111
χ81111111111111111111111111111-11-1111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
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
χ101111111111111111-1-1-1-111111111111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-11-111-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-111
χ111111111111111111-1-1-1-111111111111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-11-1-11111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111
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
χ131111111111111111-1-1-1-111111111-11-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111
χ141111111111111111-1-1-1-111111111-11-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111-1-1-1111-111-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-1
χ151111111111111111-1-1-1-111111111-11-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1111-1-1-11-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1
χ161111111111111111-1-1-1-111111111-11-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-111
χ171111-1-1-1-111111111ii−i−i-1-1-1-1-1-1-1-111-1111i−i-1-1-1-1iiii−i−i−i−i1111-1-1-1-1ii−i−iii−i−iii−i−i111-11-1-1-11111i−ii−ii−ii−i-1-1-1-1ii−i−iii−i−i-1-111ii−i−i1-11-1i−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−i1111-1-1-1-1ii−i−iii−i−iii−i−i1-11-1-11-1111-1-1i−i−iii−i−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−i1111-1-1-1-1ii−i−iii−i−iii−i−i-11-111-11-1-1-111−iii−i−iii−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−i1111-1-1-1-1ii−i−iii−i−iii−i−i-1-1-11-1111-1-1-1-1−ii−ii−ii−ii1111−i−iii−i−iii-1-111ii−i−i-11-11−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−i-1-1-1-11111−i−iiiii−i−i−i−iii11-11-11-1-11111−ii−iii−ii−i-1-1-1-1ii−i−iii−i−i-1-111ii−i−i-11-11−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−i-1-1-1-11111−i−iiiii−i−i−i−iii1-1-111-1-1111-1-1−iii−ii−i−ii-1-111ii−i−i−i−iii11-1-1−i−iii-111-1−iii−i1-1i−i
χ231111-1-1-1-111111111ii−i−i-1-1-1-1-1-1-1-1-111111−ii-1-1-1-1iiii−i−i−i−i-1-1-1-11111−i−iiiii−i−i−i−iii-111-1-111-1-1-111i−i−ii−iii−i11-1-1−i−iiiii−i−i11-1-1−i−iii1-1-11i−i−ii1-1i−i
χ241111-1-1-1-111111111ii−i−i-1-1-1-1-1-1-1-1-111111−ii-1-1-1-1iiii−i−i−i−i-1-1-1-11111−i−iiiii−i−i−i−iii-1-11-11-111-1-1-1-1i−ii−i−ii−ii1111−i−iii−i−iii-1-111ii−i−i1-11-1i−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−iiiii1111-1-1-1-1−i−iii−i−iii−i−iii111-11-1-1-11111−ii−ii−ii−ii-1-1-1-1−i−iii−i−iii-1-111−i−iii1-11-1−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−iiiii1111-1-1-1-1−i−iii−i−iii−i−iii1-11-1-11-1111-1-1−iii−i−iii−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−iiiii1111-1-1-1-1−i−iii−i−iii−i−iii-11-111-11-1-1-111i−i−iii−i−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−iiiii1111-1-1-1-1−i−iii−i−iii−i−iii-1-1-11-1111-1-1-1-1i−ii−ii−ii−i1111ii−i−iii−i−i-1-111−i−iii-11-11i−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−iiiii-1-1-1-11111ii−i−i−i−iiiii−i−i11-11-11-1-11111i−ii−i−ii−ii-1-1-1-1−i−iii−i−iii-1-111−i−iii-11-11i−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−iiiii-1-1-1-11111ii−i−i−i−iiiii−i−i1-1-111-1-1111-1-1i−i−ii−iii−i-1-111−i−iiiii−i−i11-1-1ii−i−i-111-1i−i−ii1-1−ii
χ311111-1-1-1-111111111−i−iii-1-1-1-1-1-1-1-1-111111i−i-1-1-1-1−i−i−i−iiiii-1-1-1-11111ii−i−i−i−iiiii−i−i-111-1-111-1-1-111−iii−ii−i−ii11-1-1ii−i−i−i−iii11-1-1ii−i−i1-1-11−iii−i1-1−ii
χ321111-1-1-1-111111111−i−iii-1-1-1-1-1-1-1-1-111111i−i-1-1-1-1−i−i−i−iiiii-1-1-1-11111ii−i−i−i−iiiii−i−i-1-11-11-111-1-1-1-1−ii−iii−ii−i1111ii−i−iii−i−i-1-111−i−iii1-11-1−ii−ii-11i−i
χ33222222222-122-1-12-1222222-1-122-1-12-12-1-1-122-1-1-1-122-1-122-1-12-1-1-12-1-1-12-12-1-1-1-1-1-1-1-1-10200220200-1-10022002200-1-10000-1-1-1-10000000000-1-100-1-10000
χ34222222222-122-1-12-1222222-1-122-1-12-12-1-1-122-1-1-1-122-1-122-1-12-1-1-12-1-1-12-12-1-1-1-1-1-1-1-1-10-200-2-20-2001100-2-200-2-200110000111100000000001100110000
χ35222222222-122-1-12-1222222-1-122-1-1-2-1-2-1-1-1-2-2-1-1-1-122-1-122-1-1-2111-2111-21-21-1-1-1-111110200-2-20200-1-100-2-2002200-1-10000-1-1-1-100000000001100110000
χ36222222222-122-1-12-1222222-1-122-1-1-2-1-2-1-1-1-2-2-1-1-1-122-1-122-1-1-2111-2111-21-21-1-1-1-111110-200220-20011002200-2-20011000011110000000000-1-100-1-10000
χ37222222222-122-1-12-1-2-2-2-222-1-122-1-12-12-1-1-1-2-2-1-1-1-1-2-211-2-2112-1-1-12-1-1-1-21-21111111110200220200-1-100-2-200-2-200-1-1000011110000000000-1-100110000
χ38222222222-122-1-12-1-2-2-2-222-1-122-1-12-12-1-1-1-2-2-1-1-1-1-2-211-2-2112-1-1-12-1-1-1-21-21111111110-200-2-20-200110022002200110000-1-1-1-100000000001100-1-10000
χ39222222222-122-1-12-1-2-2-2-222-1-122-1-1-2-1-2-1-1-122-1-1-1-1-2-211-2-211-2111-21112-12-11111-1-1-1-10200-2-20200-1-1002200-2-200-1-10000111100000000001100-1-10000
χ40222222222-122-1-12-1-2-2-2-222-1-122-1-1-2-1-2-1-1-122-1-1-1-1-2-211-2-211-2111-21112-12-11111-1-1-1-10-200220-2001100-2-2002200110000-1-1-1-10000000000-1-100110000
χ4122222222-12-1-122-122222-1-122-1-1222-12-1-1-122-1-1-1-1-1-122-1-122-12-1-1-12-1-1-12-12-1-1-1-1-1-1-1-120220020-1-10022002200-1-100-1-1-1-1000000000000-1-100-1-1000000
χ4222222222-12-1-122-122222-1-122-1-1222-12-1-1-122-1-1-1-1-1-122-1-122-12-1-1-12-1-1-12-12-1-1-1-1-1-1-1-1-20-2-200-201100-2-200-2-20011001111000000000000110011000000
χ4322222222-12-1-122-122222-1-122-1-122-2-1-2-1-1-1-2-2-1-1-1-1-1-122-1-1221-2111-2111-21-2-1-1-1-1111120-2-20020-1-100-2-2002200-1-100-1-1-1-1000000000000110011000000
χ4422222222-12-1-122-122222-1-122-1-122-2-1-2-1-1-1-2-2-1-1-1-1-1-122-1-1221-2111-2111-21-2-1-1-1-11111-202200-2011002200-2-20011001111000000000000-1-100-1-1000000
χ4522222222-12-1-122-12-2-2-2-2-1-122-1-1222-12-1-1-1-2-2-1-1-1-111-2-211-2-2-12-1-1-12-1-11-21-21111111120220020-1-100-2-200-2-200-1-1001111000000000000-1-10011000000
χ4622222222-12-1-122-12-2-2-2-2-1-122-1-1222-12-1-1-1-2-2-1-1-1-111-2-211-2-2-12-1-1-12-1-11-21-211111111-20-2-200-201100220022001100-1-1-1-10000000000001100-1-1000000
χ4722222222-12-1-122-12-2-2-2-2-1-122-1-122-2-1-2-1-1-122-1-1-1-111-2-211-2-21-2111-211-12-121111-1-1-1-120-2-20020-1-1002200-2-200-1-10011110000000000001100-1-1000000
χ4822222222-12-1-122-12-2-2-2-2-1-122-1-122-2-1-2-1-1-122-1-1-1-111-2-211-2-21-2111-211-12-121111-1-1-1-1-202200-201100-2-20022001100-1-1-1-1000000000000-1-10011000000
χ492222-2-2-2-22-122-1-12-12i2i−2i−2i-2-211-2-2112-1-2-1-1-12i−2i11112i2i−i−i−2i−2iii2-1-1-1-21112i−i−2ii−i−iii−i−iii02002-20-200-1-1002i−2i002i−2i00110000−i−iii0000000000-1100−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−2iii2-1-1-1-21112i−i−2ii−i−iii−i−iii0-200-2202001100−2i2i00−2i2i00-1-10000ii−i−i00000000001-100i−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−2iii-21112-1-1-1−2ii2i−i−i−iiiii−i−i0200-220-200-1-100−2i2i002i−2i00110000−i−iii00000000001-100i−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−2iii-21112-1-1-1−2ii2i−i−i−iiiii−i−i0-2002-2020011002i−2i00−2i2i00-1-10000ii−i−i0000000000-1100−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−i2-1-1-1-2111−2ii2i−iii−i−iii−i−i02002-20-200-1-100−2i2i00−2i2i00110000ii−i−i0000000000-1100i−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−i2-1-1-1-2111−2ii2i−iii−i−iii−i−i0-200-22020011002i−2i002i−2i00-1-10000−i−iii00000000001-100−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−i-21112-1-1-12i−i−2iiii−i−i−i−iii0200-220-200-1-1002i−2i00−2i2i00110000ii−i−i00000000001-100−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−i-21112-1-1-12i−i−2iiii−i−i−i−iii0-2002-202001100−2i2i002i−2i00-1-10000−i−iii0000000000-1100i−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−2i-12-1-11-211−i2ii−2i−i−iii−i−iii202-200-20-1-1002i−2i002i−2i001100−i−iii000000000000-1100−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-12-1-11-211−i2ii−2i−i−iii−i−iii-20-2200201100−2i2i00−2i2i00-1-100ii−i−i0000000000001-100i−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−2i1-211-12-1-1i−2i−i2i−i−iiiii−i−i20-2200-20-1-100−2i2i002i−2i001100−i−iii0000000000001-100i−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−2i1-211-12-1-1i−2i−i2i−i−iiiii−i−i-202-2002011002i−2i00−2i2i00-1-100ii−i−i000000000000-1100−ii000000
χ612222-2-2-2-2-12-1-122-12−2i−2i2i2i11-2-211-2-22-1-2-1-1-1−2i2i1111ii−2i−2i−i−i2i2i-12-1-11-211i−2i−i2iii−i−iii−i−i202-200-20-1-100−2i2i00−2i2i001100ii−i−i000000000000-1100i−i000000
χ622222-2-2-2-2-12-1-122-12−2i−2i2i2i11-2-211-2-22-1-2-1-1-1−2i2i1111ii−2i−2i−i−i2i2i-12-1-11-211i−2i−i2iii−i−iii−i−i-20-22002011002i−2i002i−2i00-1-100−i−iii0000000000001-100−ii000000
χ632222-2-2-2-2-12-1-122-12−2i−2i2i2i11-2-211-2-2-2-12-1-1-12i−2i1111ii−2i−2i−i−i2i2i1-211-12-1-1−i2ii−2iii−i−i−i−iii20-2200-20-1-1002i−2i00−2i2i001100ii−i−i0000000000001-100−ii000000
χ642222-2-2-2-2-12-1-122-12−2i−2i2i2i11-2-211-2-2-2-12-1-1-12i−2i1111ii−2i−2i−i−i2i2i1-211-12-1-1−i2ii−2iii−i−i−i−iii-202-200201100−2i2i002i−2i00-1-100−i−iii000000000000-1100i−i000000
χ652-2-2222-2-222-2-2-2-2222i−2i2i−2i2222-2-2-2-2020-2-220022-2-22i−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.