Finite Group Databasebeta

← Group #11803367

Character table — Group #11803367

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size1111111122222222222222222222444444444444444444448888888888888888888812121212121212121212121212121212121212121212121212121212121212121818181818181818242424242424242436363636
order1222222233444466666666666666344446666666121212121212121212121212121212121212121212121212121212124444444444444444121212121212121212121212121212122222444412121212121212122244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1
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
χ511111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ611111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111
χ711111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11111
χ811111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ91111111111-1-1-1-111111111111111111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1
χ101111111111-1-1-1-111111111111111111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-111
χ111111111111-1-1-1-111111111111111111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111
χ121111111111-1-1-1-111111111111111111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1
χ131111111111-1-1-1-1111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111
χ141111111111-1-1-1-1111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-1
χ151111111111-1-1-1-1111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1
χ161111111111-1-1-1-1111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111
χ17111-1-11-1-111ii−i−i11-1-1-1-111-1-111-1-111-1i−i11-1-1-11-1iiii−i−i−i−i11-1-1ii−i−i11-1-1ii−i−iii−i−i1-1i−i1-1i−i1-11-1i−ii−i11-1-1ii−i−i11-1-1ii−i−i11-1-1ii−i−i1-11-1i−ii−i1-1i−i
χ18111-1-11-1-111ii−i−i11-1-1-1-111-1-111-1-111-1i−i11-1-1-11-1iiii−i−i−i−i11-1-1ii−i−i11-1-1ii−i−iii−i−i1-1i−i-11−ii1-1-11i−i−ii11-1-1ii−i−i-1-111−i−iii-1-111−i−iii1-1-11i−i−ii-11−ii
χ19111-1-11-1-111ii−i−i11-1-1-1-111-1-111-1-111-1i−i11-1-1-11-1iiii−i−i−i−i11-1-1ii−i−i11-1-1ii−i−iii−i−i-11−ii1-1i−i-111-1−iii−i-1-111−i−iii11-1-1ii−i−i-1-111−i−iii-111-1−iii−i-11−ii
χ20111-1-11-1-111ii−i−i11-1-1-1-111-1-111-1-111-1i−i11-1-1-11-1iiii−i−i−i−i11-1-1ii−i−i11-1-1ii−i−iii−i−i-11−ii-11−ii-11-11−ii−ii-1-111−i−iii-1-111−i−iii11-1-1ii−i−i-11-11−ii−ii1-1i−i
χ21111-1-11-1-111ii−i−i11-1-1-1-111-1-111-1-11-11−ii11-1-1-11-1iiii−i−i−i−i-1-111−i−iii-1-111ii−i−i−i−iii1-1i−i1-1i−i-11-11−ii−ii11-1-1ii−i−i11-1-1ii−i−i11-1-1ii−i−i-11-11−ii−ii-11−ii
χ22111-1-11-1-111ii−i−i11-1-1-1-111-1-111-1-11-11−ii11-1-1-11-1iiii−i−i−i−i-1-111−i−iii-1-111ii−i−i−i−iii1-1i−i-11−ii-111-1−iii−i11-1-1ii−i−i-1-111−i−iii-1-111−i−iii-111-1−iii−i1-1i−i
χ23111-1-11-1-111ii−i−i11-1-1-1-111-1-111-1-11-11−ii11-1-1-11-1iiii−i−i−i−i-1-111−i−iii-1-111ii−i−i−i−iii-11−ii1-1i−i1-1-11i−i−ii-1-111−i−iii11-1-1ii−i−i-1-111−i−iii1-1-11i−i−ii1-1i−i
χ24111-1-11-1-111ii−i−i11-1-1-1-111-1-111-1-11-11−ii11-1-1-11-1iiii−i−i−i−i-1-111−i−iii-1-111ii−i−i−i−iii-11−ii-11−ii1-11-1i−ii−i-1-111−i−iii-1-111−i−iii11-1-1ii−i−i1-11-1i−ii−i-11−ii
χ25111-1-11-1-111−i−iii11-1-1-1-111-1-111-1-111-1−ii11-1-1-11-1−i−i−i−iiiii11-1-1−i−iii11-1-1−i−iii−i−iii1-1−ii1-1−ii1-11-1−ii−ii11-1-1−i−iii11-1-1−i−iii11-1-1−i−iii1-11-1−ii−ii1-1−ii
χ26111-1-11-1-111−i−iii11-1-1-1-111-1-111-1-111-1−ii11-1-1-11-1−i−i−i−iiiii11-1-1−i−iii11-1-1−i−iii−i−iii1-1−ii-11i−i1-1-11−iii−i11-1-1−i−iii-1-111ii−i−i-1-111ii−i−i1-1-11−iii−i-11i−i
χ27111-1-11-1-111−i−iii11-1-1-1-111-1-111-1-111-1−ii11-1-1-11-1−i−i−i−iiiii11-1-1−i−iii11-1-1−i−iii−i−iii-11i−i1-1−ii-111-1i−i−ii-1-111ii−i−i11-1-1−i−iii-1-111ii−i−i-111-1i−i−ii-11i−i
χ28111-1-11-1-111−i−iii11-1-1-1-111-1-111-1-111-1−ii11-1-1-11-1−i−i−i−iiiii11-1-1−i−iii11-1-1−i−iii−i−iii-11i−i-11i−i-11-11i−ii−i-1-111ii−i−i-1-111ii−i−i11-1-1−i−iii-11-11i−ii−i1-1−ii
χ29111-1-11-1-111−i−iii11-1-1-1-111-1-111-1-11-11i−i11-1-1-11-1−i−i−i−iiiii-1-111ii−i−i-1-111−i−iiiii−i−i1-1−ii1-1−ii-11-11i−ii−i11-1-1−i−iii11-1-1−i−iii11-1-1−i−iii-11-11i−ii−i-11i−i
χ30111-1-11-1-111−i−iii11-1-1-1-111-1-111-1-11-11i−i11-1-1-11-1−i−i−i−iiiii-1-111ii−i−i-1-111−i−iiiii−i−i1-1−ii-11i−i-111-1i−i−ii11-1-1−i−iii-1-111ii−i−i-1-111ii−i−i-111-1i−i−ii1-1−ii
χ31111-1-11-1-111−i−iii11-1-1-1-111-1-111-1-11-11i−i11-1-1-11-1−i−i−i−iiiii-1-111ii−i−i-1-111−i−iiiii−i−i-11i−i1-1−ii1-1-11−iii−i-1-111ii−i−i11-1-1−i−iii-1-111ii−i−i1-1-11−iii−i1-1−ii
χ32111-1-11-1-111−i−iii11-1-1-1-111-1-111-1-11-11i−i11-1-1-11-1−i−i−i−iiiii-1-111ii−i−i-1-111−i−iiiii−i−i-11i−i-11i−i1-11-1−ii−ii-1-111ii−i−i-1-111ii−i−i11-1-1−i−iii1-11-1−ii−ii-11i−i
χ33222222222-122222-122-1-12-12-12-12-1-12222-1-1-1-1-1-1-122-1-122-1-12-12-12-12-1-1-1-1-1-1-1-1-1-1-1-1-1000022220022002200000000-1-1-1-1-1-1-1-10000000000-1-100-1-10000
χ34222222222-122222-122-1-12-12-12-12-1-12222-1-1-1-1-1-1-122-1-122-1-12-12-12-12-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-200-2-200-2-2000000001111111100000000001100110000
χ35222222222-122222-122-1-12-12-12-12-1-1-2-2-2-2-1-1-1-1-1-1-122-1-122-1-1-21-21-21-211111-1-1-1-111110000222200-2-200-2-200000000-1-1-1-1-1-1-1-100000000001100110000
χ36222222222-122222-122-1-12-12-12-12-1-1-2-2-2-2-1-1-1-1-1-1-122-1-122-1-1-21-21-21-211111-1-1-1-111110000-2-2-2-20022002200000000111111110000000000-1-100-1-10000
χ37222222222-1-2-2-2-22-122-1-12-12-12-12-1-122-2-2-1-1-1-1-1-1-1-2-211-2-2112-12-1-21-21-1-1-1-111111111000022-2-2002200-2-200000000-1-1-1-111110000000000-1-100110000
χ38222222222-1-2-2-2-22-122-1-12-12-12-12-1-122-2-2-1-1-1-1-1-1-1-2-211-2-2112-12-1-21-21-1-1-1-1111111110000-2-22200-2-20022000000001111-1-1-1-100000000001100-1-10000
χ39222222222-1-2-2-2-22-122-1-12-12-12-12-1-1-2-222-1-1-1-1-1-1-1-2-211-2-211-21-212-12-111111111-1-1-1-1000022-2-200-2-2002200000000-1-1-1-1111100000000001100-1-10000
χ40222222222-1-2-2-2-22-122-1-12-12-12-12-1-1-2-222-1-1-1-1-1-1-1-2-211-2-211-21-212-12-111111111-1-1-1-10000-2-222002200-2-2000000001111-1-1-1-10000000000-1-100110000
χ4122222222-122222-12-1-122-12-12-12-12-12222-1-1-1-1-1-1-1-1-122-1-122-12-12-12-12-1-1-1-1-1-1-1-1-1-1-1-12222000022002200-1-1-1-1-1-1-1-10000000000000000-1-100-1-1000000
χ4222222222-122222-12-1-122-12-12-12-12-12222-1-1-1-1-1-1-1-1-122-1-122-12-12-12-12-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-2-200-2-200111111110000000000000000110011000000
χ4322222222-122222-12-1-122-12-12-12-12-1-2-2-2-2-1-1-1-1-1-1-1-1-122-1-1221-21-21-21-21111-1-1-1-1111122220000-2-200-2-200-1-1-1-1-1-1-1-10000000000000000110011000000
χ4422222222-122222-12-1-122-12-12-12-12-1-2-2-2-2-1-1-1-1-1-1-1-1-122-1-1221-21-21-21-21111-1-1-1-11111-2-2-2-2000022002200111111110000000000000000-1-100-1-1000000
χ4522222222-12-2-2-2-2-12-1-122-12-12-12-12-122-2-2-1-1-1-1-1-1-111-2-211-2-2-12-121-21-2-1-1-1-11111111122-2-200002200-2-200-1-1-1-111110000000000000000-1-10011000000
χ4622222222-12-2-2-2-2-12-1-122-12-12-12-12-122-2-2-1-1-1-1-1-1-111-2-211-2-2-12-121-21-2-1-1-1-111111111-2-2220000-2-20022001111-1-1-1-100000000000000001100-1-1000000
χ4722222222-12-2-2-2-2-12-1-122-12-12-12-12-1-2-222-1-1-1-1-1-1-111-2-211-2-21-21-2-12-1211111111-1-1-1-122-2-20000-2-2002200-1-1-1-1111100000000000000001100-1-1000000
χ4822222222-12-2-2-2-2-12-1-122-12-12-12-12-1-2-222-1-1-1-1-1-1-111-2-211-2-21-21-2-12-1211111111-1-1-1-1-2-22200002200-2-2001111-1-1-1-10000000000000000-1-10011000000
χ49222-2-22-2-22-12i2i−2i−2i2-1-2-2112-1-212-1-21-12-22i−2i-1-1111-112i2i−i−i−2i−2iii2-1-212i−i−2ii-1-111−i−iii−i−iii00002-22i−2i002-2002i−2i00000000-1-111−i−iii0000000000-1100−ii0000
χ50222-2-22-2-22-12i2i−2i−2i2-1-2-2112-1-212-1-21-12-22i−2i-1-1111-112i2i−i−i−2i−2iii2-1-212i−i−2ii-1-111−i−iii−i−iii0000-22−2i2i00-2200−2i2i0000000011-1-1ii−i−i00000000001-100i−i0000
χ51222-2-22-2-22-12i2i−2i−2i2-1-2-2112-1-212-1-21-1-22−2i2i-1-1111-112i2i−i−i−2i−2iii-212-1−2ii2i−i11-1-1−i−iiiii−i−i00002-22i−2i00-2200−2i2i00000000-1-111−i−iii00000000001-100i−i0000
χ52222-2-22-2-22-12i2i−2i−2i2-1-2-2112-1-212-1-21-1-22−2i2i-1-1111-112i2i−i−i−2i−2iii-212-1−2ii2i−i11-1-1−i−iiiii−i−i0000-22−2i2i002-2002i−2i0000000011-1-1ii−i−i0000000000-1100−ii0000
χ53222-2-22-2-22-1−2i−2i2i2i2-1-2-2112-1-212-1-21-12-2−2i2i-1-1111-11−2i−2iii2i2i−i−i2-1-21−2ii2i−i-1-111ii−i−iii−i−i00002-2−2i2i002-200−2i2i00000000-1-111ii−i−i0000000000-1100i−i0000
χ54222-2-22-2-22-1−2i−2i2i2i2-1-2-2112-1-212-1-21-12-2−2i2i-1-1111-11−2i−2iii2i2i−i−i2-1-21−2ii2i−i-1-111ii−i−iii−i−i0000-222i−2i00-22002i−2i0000000011-1-1−i−iii00000000001-100−ii0000
χ55222-2-22-2-22-1−2i−2i2i2i2-1-2-2112-1-212-1-21-1-222i−2i-1-1111-11−2i−2iii2i2i−i−i-212-12i−i−2ii11-1-1ii−i−i−i−iii00002-2−2i2i00-22002i−2i00000000-1-111ii−i−i00000000001-100−ii0000
χ56222-2-22-2-22-1−2i−2i2i2i2-1-2-2112-1-212-1-21-1-222i−2i-1-1111-11−2i−2iii2i2i−i−i-212-12i−i−2ii11-1-1ii−i−i−i−iii0000-222i−2i002-200−2i2i0000000011-1-1−i−iii0000000000-1100i−i0000
χ57222-2-22-2-2-122i2i−2i−2i-1211-2-2-121-2-121-2-12-22i−2i-1-1111-11−i−i2i2iii−2i−2i-121-2−i2ii−2i-1-111−i−iii−i−iii2-22i−2i00002-2002i−2i00-1-111−i−iii0000000000000000-1100−ii000000
χ58222-2-22-2-2-122i2i−2i−2i-1211-2-2-121-2-121-2-12-22i−2i-1-1111-11−i−i2i2iii−2i−2i-121-2−i2ii−2i-1-111−i−iii−i−iii-22−2i2i0000-2200−2i2i0011-1-1ii−i−i00000000000000001-100i−i000000
χ59222-2-22-2-2-122i2i−2i−2i-1211-2-2-121-2-121-2-1-22−2i2i-1-1111-11−i−i2i2iii−2i−2i1-2-12i−2i−i2i11-1-1−i−iiiii−i−i2-22i−2i0000-2200−2i2i00-1-111−i−iii00000000000000001-100i−i000000
χ60222-2-22-2-2-122i2i−2i−2i-1211-2-2-121-2-121-2-1-22−2i2i-1-1111-11−i−i2i2iii−2i−2i1-2-12i−2i−i2i11-1-1−i−iiiii−i−i-22−2i2i00002-2002i−2i0011-1-1ii−i−i0000000000000000-1100−ii000000
χ61222-2-22-2-2-12−2i−2i2i2i-1211-2-2-121-2-121-2-12-2−2i2i-1-1111-11ii−2i−2i−i−i2i2i-121-2i−2i−i2i-1-111ii−i−iii−i−i2-2−2i2i00002-200−2i2i00-1-111ii−i−i0000000000000000-1100i−i000000
χ62222-2-22-2-2-12−2i−2i2i2i-1211-2-2-121-2-121-2-12-2−2i2i-1-1111-11ii−2i−2i−i−i2i2i-121-2i−2i−i2i-1-111ii−i−iii−i−i-222i−2i0000-22002i−2i0011-1-1−i−iii00000000000000001-100−ii000000
χ63222-2-22-2-2-12−2i−2i2i2i-1211-2-2-121-2-121-2-1-222i−2i-1-1111-11ii−2i−2i−i−i2i2i1-2-12−i2ii−2i11-1-1ii−i−i−i−iii2-2−2i2i0000-22002i−2i00-1-111ii−i−i00000000000000001-100−ii000000
χ64222-2-22-2-2-12−2i−2i2i2i-1211-2-2-121-2-121-2-1-222i−2i-1-1111-11ii−2i−2i−i−i2i2i1-2-12−i2ii−2i11-1-1ii−i−i−i−iii-222i−2i00002-200−2i2i0011-1-1−i−iii0000000000000000-1100i−i000000
χ652-2-2222-2-2222i−2i2i−2i-2-22-22-2-2-22222-2-220000-2-222-22-22i−2i2i−2i2i−2i2i−2i0000000000002i−2i2i−2i0000000000000000000000000000000000002-22-22i−2i2i−2i000000000000
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χ1144-4-4-4-4444-2-24-4-44222-22-22222-2-2-2-210000-1-1-1-1111-22-222-22-200000000-333-31-1-11-333-30000000000000000000000000000000000000000000000000000
χ1154-4-4-4-4444-2-2-444-4222-22-22222-2-2-2-210000-1-1-1-11112-22-2-22-22000000003-3-33-111-1-333-30000000000000000000000000000000000000000000000000000
χ1164-4-4-4-4444-2-2-444-4222-22-22222-2-2-2-210000-1-1-1-11112-22-2-22-2200000000-333-3-111-13-3-330000000000000000000000000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).