Finite Group Databasebeta

← Group #11807568

Character table — Group #11807568

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size11111111222222222222222222224444444444444444444466666666888888888888888888881212121212121212121212121212121212121212121212121212121218181818181818181818181824242424242424243636
order122222223344446666666666666622344666666612121212121212124444444466666666121212121212121212121212224444444444121212121212121212121212121212124444444444446612121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1
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
χ51111111111111111111111111111-1-11-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111
χ61111111111111111111111111111-1-11-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-1-1
χ71111111111111111111111111111-1-11-1-1111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111-1-111-1-1-1-1
χ81111111111111111111111111111-1-11-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111
χ91111111111-1-1-1-111111111111111111-1-11111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ101111111111-1-1-1-111111111111111111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-111
χ111111111111-1-1-1-111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111
χ121111111111-1-1-1-111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1
χ131111111111-1-1-1-111111111111111-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1
χ141111111111-1-1-1-111111111111111-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111
χ151111111111-1-1-1-111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111
χ161111111111-1-1-1-111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1
χ17111-1-1-1-1111ii−i−i1-111-1-1-111-11-1-1-11-11i−i111-1-1-1-1ii−i−iii−i−iii−i−iii−i−i1-11-111-1-1i−ii−iii−i−iii−i−i1-11-11-1i−ii−i1-1ii−i−i11-1-1ii−i−i11-1-1ii−i−i11-1-111-1-11-11-1i−ii−ii−i
χ18111-1-1-1-1111ii−i−i1-111-1-1-111-11-1-1-11-11i−i111-1-1-1-1ii−i−iii−i−iii−i−i−i−iii1-11-111-1-1i−ii−iii−i−iii−i−i1-1-11-11i−i−ii1-1ii−i−i11-1-1−i−iii-1-111−i−iii-1-111-1-1111-1-11i−i−ii−ii
χ19111-1-1-1-1111ii−i−i1-111-1-1-111-11-1-1-11-11i−i111-1-1-1-1ii−i−iii−i−i−i−iiiii−i−i1-11-111-1-1i−ii−iii−i−iii−i−i-111-11-1−iii−i-11−i−iii-1-111ii−i−i11-1-1−i−iii-1-111-1-111-111-1−iii−i−ii
χ20111-1-1-1-1111ii−i−i1-111-1-1-111-11-1-1-11-11i−i111-1-1-1-1ii−i−iii−i−i−i−iii−i−iii1-11-111-1-1i−ii−iii−i−iii−i−i-11-11-11−ii−ii-11−i−iii-1-111−i−iii-1-111ii−i−i11-1-111-1-1-11-11−ii−iii−i
χ21111-1-1-1-1111ii−i−i1-111-1-1-111-11-1-1-1-111−ii111-1-1-1-1ii−i−iii−i−iii−i−iii−i−i-11-11-1-111−ii−iiii−i−i−i−iii-111-1-11−ii−ii1-1ii−i−i11-1-1ii−i−i11-1-1−i−iii11-1-1-1-111-11-11−ii−iii−i
χ22111-1-1-1-1111ii−i−i1-111-1-1-111-11-1-1-1-111−ii111-1-1-1-1ii−i−iii−i−iii−i−i−i−iii-11-11-1-111−ii−iiii−i−i−i−iii-11-111-1−iii−i1-1ii−i−i11-1-1−i−iii-1-111ii−i−i-1-11111-1-1-111-1−iii−i−ii
χ23111-1-1-1-1111ii−i−i1-111-1-1-111-11-1-1-1-111−ii111-1-1-1-1ii−i−iii−i−i−i−iiiii−i−i-11-11-1-111−ii−iiii−i−i−i−iii1-11-1-11i−i−ii-11−i−iii-1-111ii−i−i11-1-1ii−i−i-1-11111-1-11-1-11i−i−ii−ii
χ24111-1-1-1-1111ii−i−i1-111-1-1-111-11-1-1-1-111−ii111-1-1-1-1ii−i−iii−i−i−i−iii−i−iii-11-11-1-111−ii−iiii−i−i−i−iii1-1-111-1i−ii−i-11−i−iii-1-111−i−iii-1-111−i−iii11-1-1-1-1111-11-1i−ii−ii−i
χ25111-1-1-1-1111−i−iii1-111-1-1-111-11-1-1-11-11−ii111-1-1-1-1−i−iii−i−iiiii−i−iii−i−i1-11-111-1-1−ii−ii−i−iii−i−iii-11-11-11i−ii−i-11ii−i−i-1-111ii−i−i-1-111−i−iii11-1-111-1-1-11-11i−ii−i−ii
χ26111-1-1-1-1111−i−iii1-111-1-1-111-11-1-1-11-11−ii111-1-1-1-1−i−iii−i−iiiii−i−i−i−iii1-11-111-1-1−ii−ii−i−iii−i−iii-111-11-1i−i−ii-11ii−i−i-1-111−i−iii11-1-1ii−i−i-1-111-1-111-111-1i−i−iii−i
χ27111-1-1-1-1111−i−iii1-111-1-1-111-11-1-1-11-11−ii111-1-1-1-1−i−iii−i−iii−i−iiiii−i−i1-11-111-1-1−ii−ii−i−iii−i−iii1-1-11-11−iii−i1-1−i−iii11-1-1ii−i−i-1-111ii−i−i-1-111-1-1111-1-11−iii−ii−i
χ28111-1-1-1-1111−i−iii1-111-1-1-111-11-1-1-11-11−ii111-1-1-1-1−i−iii−i−iii−i−iii−i−iii1-11-111-1-1−ii−ii−i−iii−i−iii1-11-11-1−ii−ii1-1−i−iii11-1-1−i−iii11-1-1−i−iii11-1-111-1-11-11-1−ii−ii−ii
χ29111-1-1-1-1111−i−iii1-111-1-1-111-11-1-1-1-111i−i111-1-1-1-1−i−iii−i−iiiii−i−iii−i−i-11-11-1-111i−ii−i−i−iiiii−i−i1-1-111-1−ii−ii-11ii−i−i-1-111ii−i−i-1-111ii−i−i11-1-1-1-1111-11-1−ii−ii−ii
χ30111-1-1-1-1111−i−iii1-111-1-1-111-11-1-1-1-111i−i111-1-1-1-1−i−iii−i−iiiii−i−i−i−iii-11-11-1-111i−ii−i−i−iiiii−i−i1-11-1-11−iii−i-11ii−i−i-1-111−i−iii11-1-1−i−iii-1-11111-1-11-1-11−iii−ii−i
χ31111-1-1-1-1111−i−iii1-111-1-1-111-11-1-1-1-111i−i111-1-1-1-1−i−iii−i−iii−i−iiiii−i−i-11-11-1-111i−ii−i−i−iiiii−i−i-11-111-1i−i−ii1-1−i−iii11-1-1ii−i−i-1-111−i−iii-1-11111-1-1-111-1i−i−iii−i
χ32111-1-1-1-1111−i−iii1-111-1-1-111-11-1-1-1-111i−i111-1-1-1-1−i−iii−i−iii−i−iii−i−iii-11-11-1-111i−ii−i−i−iiiii−i−i-111-1-11i−ii−i1-1−i−iii11-1-1−i−iii11-1-1ii−i−i11-1-1-1-111-11-11i−ii−i−ii
χ33222222222-1222222-1-1-12-1222-1-12-122-122-1-1-1-1-1-1-1-1-1-1-122222222000022-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1220000220022-1-1-1-1-1-1-1-100000000000000000000-1-100-1-10000
χ34222222222-1222222-1-1-12-1222-1-12-122-122-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2000022-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-2-20000-2-200-2-211111111000000000000000000001100110000
χ35222222222-1222222-1-1-12-1222-1-12-1-2-2-1-2-2-1-1-1-1-1-1-1-1-1-1-1222222220000-2-2111111-2-211-1-1-1-11111-2-20000-2-20022-1-1-1-1-1-1-1-1000000000000000000001100110000
χ36222222222-1222222-1-1-12-1222-1-12-1-2-2-1-2-2-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-20000-2-2111111-2-211-1-1-1-111112200002200-2-21111111100000000000000000000-1-100-1-10000
χ37222222222-1-2-2-2-222-1-1-12-1222-1-12-122-1-2-2-1-1-1-1-1-1-11111-2-2-2-22222000022-1-1-1-1-1-1-2-21111111111-2-200002200-2-2-1-1-1-11111000000000000000000001100-1-10000
χ38222222222-1-2-2-2-222-1-1-12-1222-1-12-122-1-2-2-1-1-1-1-1-1-11111-2-2-2-2-2-2-2-2000022-1-1-1-1-1-1-2-21111111111220000-2-200221111-1-1-1-100000000000000000000-1-100110000
χ39222222222-1-2-2-2-222-1-1-12-1222-1-12-1-2-2-122-1-1-1-1-1-1-11111-2-2-2-222220000-2-211111122-1-11111-1-1-1-1220000-2-200-2-2-1-1-1-1111100000000000000000000-1-100110000
χ40222222222-1-2-2-2-222-1-1-12-1222-1-12-1-2-2-122-1-1-1-1-1-1-11111-2-2-2-2-2-2-2-20000-2-211111122-1-11111-1-1-1-1-2-200002200221111-1-1-1-1000000000000000000001100-1-10000
χ4122222222-122222-1-1222-12-1-1-122-1222-122-1-1-1-1-1-1-12222-1-1-1-100002222-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-100222200220000000000-1-1-1-1-1-1-1-100000000000000-1-100-1-100
χ4222222222-122222-1-1222-12-1-1-122-1222-122-1-1-1-1-1-1-12222-1-1-1-10000-2-2-2-2-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-100-2-2-2-200-2-20000000000111111110000000000000011001100
χ4322222222-122222-1-1222-12-1-1-122-12-2-2-1-2-2-1-1-1-1-1-1-12222-1-1-1-10000222211-2-2111111-2-2-1-1-1-111110022-2-200-2-20000000000-1-1-1-1-1-1-1-10000000000000011001100
χ4422222222-122222-1-1222-12-1-1-122-12-2-2-1-2-2-1-1-1-1-1-1-12222-1-1-1-10000-2-2-2-211-2-2111111-2-2-1-1-1-1111100-2-222002200000000001111111100000000000000-1-100-1-100
χ4522222222-12-2-2-2-2-1-1222-12-1-1-122-1222-1-2-2-1-1-1-1-1-1-1-2-2-2-2111100002222-1-122-1-1-1-111-2-21111111100-2-2-2-200220000000000-1-1-1-11111000000000000001100-1-100
χ4622222222-12-2-2-2-2-1-1222-12-1-1-122-1222-1-2-2-1-1-1-1-1-1-1-2-2-2-211110000-2-2-2-2-1-122-1-1-1-111-2-21111111100222200-2-200000000001111-1-1-1-100000000000000-1-1001100
χ4722222222-12-2-2-2-2-1-1222-12-1-1-122-12-2-2-122-1-1-1-1-1-1-1-2-2-2-211110000222211-2-21111-1-1221111-1-1-1-100-2-22200-2-20000000000-1-1-1-1111100000000000000-1-1001100
χ4822222222-12-2-2-2-2-1-1222-12-1-1-122-12-2-2-122-1-1-1-1-1-1-1-2-2-2-211110000-2-2-2-211-2-21111-1-1221111-1-1-1-10022-2-2002200000000001111-1-1-1-1000000000000001100-1-100
χ49222-2-2-2-222-12i2i−2i−2i2-2-1-11-2122-2-11-212-2-12i−2i-1-1-11111−i−iii2i2i−2i−2i2i2i−2i−2i00002-2-11-1-1112i−2i−ii−i−iii−i−iii2-200002i−2i002-2−i−iii-1-11100000000000000000000-1100−ii0000
χ50222-2-2-2-222-12i2i−2i−2i2-2-1-11-2122-2-11-212-2-12i−2i-1-1-11111−i−iii2i2i−2i−2i−2i−2i2i2i00002-2-11-1-1112i−2i−ii−i−iii−i−iii-220000−2i2i00-22ii−i−i11-1-1000000000000000000001-100i−i0000
χ51222-2-2-2-222-12i2i−2i−2i2-2-1-11-2122-2-11-21-22-1−2i2i-1-1-11111−i−iii2i2i−2i−2i2i2i−2i−2i0000-221-111-1-1−2i2ii−i−i−iiiii−i−i-220000−2i2i002-2−i−iii-1-111000000000000000000001-100i−i0000
χ52222-2-2-2-222-12i2i−2i−2i2-2-1-11-2122-2-11-21-22-1−2i2i-1-1-11111−i−iii2i2i−2i−2i−2i−2i2i2i0000-221-111-1-1−2i2ii−i−i−iiiii−i−i2-200002i−2i00-22ii−i−i11-1-100000000000000000000-1100−ii0000
χ53222-2-2-2-222-1−2i−2i2i2i2-2-1-11-2122-2-11-212-2-1−2i2i-1-1-11111ii−i−i−2i−2i2i2i2i2i−2i−2i00002-2-11-1-111−2i2ii−iii−i−iii−i−i-2200002i−2i00-22−i−iii11-1-1000000000000000000001-100−ii0000
χ54222-2-2-2-222-1−2i−2i2i2i2-2-1-11-2122-2-11-212-2-1−2i2i-1-1-11111ii−i−i−2i−2i2i2i−2i−2i2i2i00002-2-11-1-111−2i2ii−iii−i−iii−i−i2-20000−2i2i002-2ii−i−i-1-11100000000000000000000-1100i−i0000
χ55222-2-2-2-222-1−2i−2i2i2i2-2-1-11-2122-2-11-21-22-12i−2i-1-1-11111ii−i−i−2i−2i2i2i2i2i−2i−2i0000-221-111-1-12i−2i−iiii−i−i−i−iii2-20000−2i2i00-22−i−iii11-1-100000000000000000000-1100i−i0000
χ56222-2-2-2-222-1−2i−2i2i2i2-2-1-11-2122-2-11-21-22-12i−2i-1-1-11111ii−i−i−2i−2i2i2i−2i−2i2i2i0000-221-111-1-12i−2i−iiii−i−i−i−iii-2200002i−2i002-2ii−i−i-1-111000000000000000000001-100−ii0000
χ57222-2-2-2-22-122i2i−2i−2i-1122-21-2-1-112-21-22-2-12i−2i-1-1-111112i2i−2i−2i−i−iii00002i2i−2i−2i-112-2-1-111−ii2i−2i−i−iii−i−iii002-22-2002i−2i0000000000−i−iii-1-11100000000000000-1100−ii00
χ58222-2-2-2-22-122i2i−2i−2i-1122-21-2-1-112-21-22-2-12i−2i-1-1-111112i2i−2i−2i−i−iii0000−2i−2i2i2i-112-2-1-111−ii2i−2i−i−iii−i−iii00-22-2200−2i2i0000000000ii−i−i11-1-1000000000000001-100i−i00
χ59222-2-2-2-22-122i2i−2i−2i-1122-21-2-1-112-21-2-22-1−2i2i-1-1-111112i2i−2i−2i−i−iii00002i2i−2i−2i1-1-2211-1-1i−i−2i2i−i−iiiii−i−i002-2-2200−2i2i0000000000−i−iii-1-111000000000000001-100i−i00
χ60222-2-2-2-22-122i2i−2i−2i-1122-21-2-1-112-21-2-22-1−2i2i-1-1-111112i2i−2i−2i−i−iii0000−2i−2i2i2i1-1-2211-1-1i−i−2i2i−i−iiiii−i−i00-222-2002i−2i0000000000ii−i−i11-1-100000000000000-1100−ii00
χ61222-2-2-2-22-12−2i−2i2i2i-1122-21-2-1-112-21-22-2-1−2i2i-1-1-11111−2i−2i2i2iii−i−i00002i2i−2i−2i-112-2-1-111i−i−2i2iii−i−iii−i−i00-22-22002i−2i0000000000−i−iii11-1-1000000000000001-100−ii00
χ62222-2-2-2-22-12−2i−2i2i2i-1122-21-2-1-112-21-22-2-1−2i2i-1-1-11111−2i−2i2i2iii−i−i0000−2i−2i2i2i-112-2-1-111i−i−2i2iii−i−iii−i−i002-22-200−2i2i0000000000ii−i−i-1-11100000000000000-1100i−i00
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χ9744-4-4-444-44-24i−4i−4i4i-44-22-2-424-442-2-4200-200-222-2-222−2i2i2i−2i4i−4i−4i4i00000000000000000000−2i2i2i−2i000000000000000000000000000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).