Finite Group Databasebeta

← Group #11803613

Character table — Group #11803613

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size1111111122222222222222222222444444444444444444448888888888888888888812121212121212121212121212121212121212121212121212121212121212121818181818181818242424242424242436363636
order122222223344446666666666666634444666666612121212121212121212121212121212121212121212121212121212222222444444444466666666121212121212121244444444661212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-11111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
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
χ511111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ611111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ711111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ811111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ91111111111-1-1-1-111111111111111111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-1
χ101111111111-1-1-1-111111111111111111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-111
χ111111111111-1-1-1-111111111111111111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111
χ121111111111-1-1-1-111111111111111111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-11111-1-1
χ131111111111-1-1-1-1111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-111
χ141111111111-1-1-1-1111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-1
χ151111111111-1-1-1-1111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1111111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1
χ161111111111-1-1-1-1111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-111-1-1-1-111
χ1711-11-1-11-111ii−i−i1-1-111-11-11-11-1-1-111-1i−i11-1-11-1-1ii−i−iii−i−i11-1-1ii−i−iii−i−i11-1-1ii−i−i1-11-11-1i−ii−ii−ii−i1-111-1-111-1-1ii−i−iii−i−i11-1-1ii−i−i1-1i−i1-1i−i1-1i−i
χ1811-11-1-11-111ii−i−i1-1-111-11-11-11-1-1-111-1i−i11-1-11-1-1ii−i−iii−i−i11-1-1ii−i−iii−i−i11-1-1ii−i−i1-11-1-11i−i−ii−iii−i-11-1-11111-1-1ii−i−i−i−iii-1-111−i−iii1-1i−i-11−ii-11−ii
χ1911-11-1-11-111ii−i−i1-1-111-11-11-11-1-1-111-1i−i11-1-11-1-1ii−i−iii−i−i11-1-1ii−i−iii−i−i11-1-1ii−i−i-11-111-1−iii−ii−i−ii1-111-1-1-1-111−i−iiiii−i−i-1-111−i−iii-11−ii1-1i−i-11−ii
χ2011-11-1-11-111ii−i−i1-1-111-11-11-11-1-1-111-1i−i11-1-11-1-1ii−i−iii−i−i11-1-1ii−i−iii−i−i11-1-1ii−i−i-11-11-11−ii−ii−ii−ii-11-1-111-1-111−i−iii−i−iii11-1-1ii−i−i-11−ii-11−ii1-1i−i
χ2111-11-1-11-111ii−i−i1-1-111-11-11-11-1-1-11-11−ii11-1-11-1-1ii−i−iii−i−i-1-111−i−iiiii−i−i-1-111−i−iii1-1-111-1i−ii−i−ii−ii-1111-1-111-1-1ii−i−iii−i−i11-1-1ii−i−i-11−ii-11−ii-11−ii
χ2211-11-1-11-111ii−i−i1-1-111-11-11-11-1-1-11-11−ii11-1-11-1-1ii−i−iii−i−i-1-111−i−iiiii−i−i-1-111−i−iii1-1-11-11i−i−iii−i−ii1-1-1-11111-1-1ii−i−i−i−iii-1-111−i−iii-11−ii1-1i−i1-1i−i
χ2311-11-1-11-111ii−i−i1-1-111-11-11-11-1-1-11-11−ii11-1-11-1-1ii−i−iii−i−i-1-111−i−iiiii−i−i-1-111−i−iii-111-11-1−iii−i−iii−i-1111-1-1-1-111−i−iiiii−i−i-1-111−i−iii1-1i−i-11−ii1-1i−i
χ2411-11-1-11-111ii−i−i1-1-111-11-11-11-1-1-11-11−ii11-1-11-1-1ii−i−iii−i−i-1-111−i−iiiii−i−i-1-111−i−iii-111-1-11−ii−iii−ii−i1-1-1-111-1-111−i−iii−i−iii11-1-1ii−i−i1-1i−i1-1i−i-11−ii
χ2511-11-1-11-111−i−iii1-1-111-11-11-11-1-1-111-1−ii11-1-11-1-1−i−iii−i−iii11-1-1−i−iii−i−iii11-1-1−i−iii1-11-11-1−ii−ii−ii−ii1-111-1-111-1-1−i−iii−i−iii11-1-1−i−iii1-1−ii1-1−ii1-1−ii
χ2611-11-1-11-111−i−iii1-1-111-11-11-11-1-1-111-1−ii11-1-11-1-1−i−iii−i−iii11-1-1−i−iii−i−iii11-1-1−i−iii1-11-1-11−iii−ii−i−ii-11-1-11111-1-1−i−iiiii−i−i-1-111ii−i−i1-1−ii-11i−i-11i−i
χ2711-11-1-11-111−i−iii1-1-111-11-11-11-1-1-111-1−ii11-1-11-1-1−i−iii−i−iii11-1-1−i−iii−i−iii11-1-1−i−iii-11-111-1i−i−ii−iii−i1-111-1-1-1-111ii−i−i−i−iii-1-111ii−i−i-11i−i1-1−ii-11i−i
χ2811-11-1-11-111−i−iii1-1-111-11-11-11-1-1-111-1−ii11-1-11-1-1−i−iii−i−iii11-1-1−i−iii−i−iii11-1-1−i−iii-11-11-11i−ii−ii−ii−i-11-1-111-1-111ii−i−iii−i−i11-1-1−i−iii-11i−i-11i−i1-1−ii
χ2911-11-1-11-111−i−iii1-1-111-11-11-11-1-1-11-11i−i11-1-11-1-1−i−iii−i−iii-1-111ii−i−i−i−iii-1-111ii−i−i1-1-111-1−ii−iii−ii−i-1111-1-111-1-1−i−iii−i−iii11-1-1−i−iii-11i−i-11i−i-11i−i
χ3011-11-1-11-111−i−iii1-1-111-11-11-11-1-1-11-11i−i11-1-11-1-1−i−iii−i−iii-1-111ii−i−i−i−iii-1-111ii−i−i1-1-11-11−iii−i−iii−i1-1-1-11111-1-1−i−iiiii−i−i-1-111ii−i−i-11i−i1-1−ii1-1−ii
χ3111-11-1-11-111−i−iii1-1-111-11-11-11-1-1-11-11i−i11-1-11-1-1−i−iii−i−iii-1-111ii−i−i−i−iii-1-111ii−i−i-111-11-1i−i−iii−i−ii-1111-1-1-1-111ii−i−i−i−iii-1-111ii−i−i1-1−ii-11i−i1-1−ii
χ3211-11-1-11-111−i−iii1-1-111-11-11-11-1-1-11-11i−i11-1-11-1-1−i−iii−i−iii-1-111ii−i−i−i−iii-1-111ii−i−i-111-1-11i−ii−i−ii−ii1-1-1-111-1-111ii−i−iii−i−i11-1-1−i−iii1-1−ii1-1−ii-11i−i
χ33222222222-12222222-1-1-122-1-12-1-12-12222-1-1-1-1-1-1-1-1-1-1-122222-12-12-12-1-1-1-1-1-1-1-1-1-1-1-1-122220022000022000000-1-1-1-1-1-1-1-1000000000000-1-1-1-100000000
χ34222222222-12222222-1-1-122-1-12-1-12-12222-1-1-1-1-1-1-1-1-1-1-122222-12-12-12-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200-2-20000-2-200000011111111000000000000111100000000
χ35222222222-12222222-1-1-122-1-12-1-12-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-12222-21-21-21-21-1-1-1-11111111122-2-200220000-2-2000000-1-1-1-1-1-1-1-1000000000000111100000000
χ36222222222-12222222-1-1-122-1-12-1-12-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-12222-21-21-21-21-1-1-1-111111111-2-22200-2-200002200000011111111000000000000-1-1-1-100000000
χ37222222222-1-2-2-2-2222-1-1-122-1-12-1-12-122-2-2-1-1-1-1-1-1-11111-2-2-2-22-12-1-21-211111-1-1-1-11111222200-2-20000-2-2000000-1-1-1-11111000000000000-1-11100000000
χ38222222222-1-2-2-2-2222-1-1-122-1-12-1-12-122-2-2-1-1-1-1-1-1-11111-2-2-2-22-12-1-21-211111-1-1-1-11111-2-2-2-200220000220000001111-1-1-1-100000000000011-1-100000000
χ39222222222-1-2-2-2-2222-1-1-122-1-12-1-12-1-2-222-1-1-1-1-1-1-11111-2-2-2-2-21-212-12-111111111-1-1-1-122-2-200-2-2000022000000-1-1-1-1111100000000000011-1-100000000
χ40222222222-1-2-2-2-2222-1-1-122-1-12-1-12-1-2-222-1-1-1-1-1-1-11111-2-2-2-2-21-212-12-111111111-1-1-1-1-2-22200220000-2-20000001111-1-1-1-1000000000000-1-11100000000
χ4122222222-122222-1-1-1222-1-122-122-1-12222-1-1-1-1-1-1-12222-1-1-1-1-12-12-12-12-1-1-1-1-1-1-1-1-1-1-1-10000220022220022-1-1-1-100000000-1-1-1-1000000000000-1-1-1-10000
χ4222222222-122222-1-1-1222-1-122-122-1-12222-1-1-1-1-1-1-12222-1-1-1-1-12-12-12-12-1-1-1-1-1-1-1-1-1-1-1-10000-2-200-2-2-2-200-2-2111100000000111100000000000011110000
χ4322222222-122222-1-1-1222-1-122-122-1-1-2-2-2-2-1-1-1-1-1-1-12222-1-1-1-11-21-21-21-2-1-1-1-1111111110000220022-2-200-2-2-1-1-1-100000000-1-1-1-100000000000011110000
χ4422222222-122222-1-1-1222-1-122-122-1-1-2-2-2-2-1-1-1-1-1-1-12222-1-1-1-11-21-21-21-2-1-1-1-1111111110000-2-200-2-22200221111000000001111000000000000-1-1-1-10000
χ4522222222-12-2-2-2-2-1-1-1222-1-122-122-1-122-2-2-1-1-1-1-1-1-1-2-2-2-21111-12-121-21-21111-1-1-1-1111100002200-2-2-2-20022-1-1-1-1000000001111000000000000-1-1110000
χ4622222222-12-2-2-2-2-1-1-1222-1-122-122-1-122-2-2-1-1-1-1-1-1-1-2-2-2-21111-12-121-21-21111-1-1-1-111110000-2-200222200-2-2111100000000-1-1-1-100000000000011-1-10000
χ4722222222-12-2-2-2-2-1-1-1222-1-122-122-1-1-2-222-1-1-1-1-1-1-1-2-2-2-211111-21-2-12-1211111111-1-1-1-100002200-2-22200-2-2-1-1-1-100000000111100000000000011-1-10000
χ4822222222-12-2-2-2-2-1-1-1222-1-122-122-1-1-2-222-1-1-1-1-1-1-1-2-2-2-211111-21-2-12-1211111111-1-1-1-10000-2-20022-2-20022111100000000-1-1-1-1000000000000-1-1110000
χ4922-22-2-22-22-12i2i−2i−2i2-2-2-1-112-2-11211-2-12-22i−2i-1-111-111−i−iii2i2i−2i−2i2-1-212i−i−2ii−i−iii-1-111−i−iii2-22-2002i−2i00002i−2i000000-1-111−i−iii000000000000-11−ii00000000
χ5022-22-2-22-22-12i2i−2i−2i2-2-2-1-112-2-11211-2-12-22i−2i-1-111-111−i−iii2i2i−2i−2i2-1-212i−i−2ii−i−iii-1-111−i−iii-22-2200−2i2i0000−2i2i00000011-1-1ii−i−i0000000000001-1i−i00000000
χ5122-22-2-22-22-12i2i−2i−2i2-2-2-1-112-2-11211-2-1-22−2i2i-1-111-111−i−iii2i2i−2i−2i-212-1−2ii2i−i−i−iii11-1-1ii−i−i2-2-22002i−2i0000−2i2i000000-1-111−i−iii0000000000001-1i−i00000000
χ5222-22-2-22-22-12i2i−2i−2i2-2-2-1-112-2-11211-2-1-22−2i2i-1-111-111−i−iii2i2i−2i−2i-212-1−2ii2i−i−i−iii11-1-1ii−i−i-222-200−2i2i00002i−2i00000011-1-1ii−i−i000000000000-11−ii00000000
χ5322-22-2-22-22-1−2i−2i2i2i2-2-2-1-112-2-11211-2-12-2−2i2i-1-111-111ii−i−i−2i−2i2i2i2-1-21−2ii2i−iii−i−i-1-111ii−i−i2-22-200−2i2i0000−2i2i000000-1-111ii−i−i000000000000-11i−i00000000
χ5422-22-2-22-22-1−2i−2i2i2i2-2-2-1-112-2-11211-2-12-2−2i2i-1-111-111ii−i−i−2i−2i2i2i2-1-21−2ii2i−iii−i−i-1-111ii−i−i-22-22002i−2i00002i−2i00000011-1-1−i−iii0000000000001-1−ii00000000
χ5522-22-2-22-22-1−2i−2i2i2i2-2-2-1-112-2-11211-2-1-222i−2i-1-111-111ii−i−i−2i−2i2i2i-212-12i−i−2iiii−i−i11-1-1−i−iii2-2-2200−2i2i00002i−2i000000-1-111ii−i−i0000000000001-1−ii00000000
χ5622-22-2-22-22-1−2i−2i2i2i2-2-2-1-112-2-11211-2-1-222i−2i-1-111-111ii−i−i−2i−2i2i2i-212-12i−i−2iiii−i−i11-1-1−i−iii-222-2002i−2i0000−2i2i00000011-1-1−i−iii000000000000-11i−i00000000
χ5722-22-2-22-2-122i2i−2i−2i-11122-2-112-2-1-2-21-12-22i−2i-1-111-1112i2i−2i−2i−i−iii-121-2−i2ii−2i−i−iii-1-111−i−iii00002-2002i−2i2i−2i002-2-1-11100000000−i−iii000000000000-11−ii0000
χ5822-22-2-22-2-122i2i−2i−2i-11122-2-112-2-1-2-21-12-22i−2i-1-111-1112i2i−2i−2i−i−iii-121-2−i2ii−2i−i−iii-1-111−i−iii0000-2200−2i2i−2i2i00-2211-1-100000000ii−i−i0000000000001-1i−i0000
χ5922-22-2-22-2-122i2i−2i−2i-11122-2-112-2-1-2-21-1-22−2i2i-1-111-1112i2i−2i−2i−i−iii1-2-12i−2i−i2i−i−iii11-1-1ii−i−i00002-2002i−2i−2i2i00-22-1-11100000000−i−iii0000000000001-1i−i0000
χ6022-22-2-22-2-122i2i−2i−2i-11122-2-112-2-1-2-21-1-22−2i2i-1-111-1112i2i−2i−2i−i−iii1-2-12i−2i−i2i−i−iii11-1-1ii−i−i0000-2200−2i2i2i−2i002-211-1-100000000ii−i−i000000000000-11−ii0000
χ6122-22-2-22-2-12−2i−2i2i2i-11122-2-112-2-1-2-21-12-2−2i2i-1-111-111−2i−2i2i2iii−i−i-121-2i−2i−i2iii−i−i-1-111ii−i−i00002-200−2i2i−2i2i002-2-1-11100000000ii−i−i000000000000-11i−i0000
χ6222-22-2-22-2-12−2i−2i2i2i-11122-2-112-2-1-2-21-12-2−2i2i-1-111-111−2i−2i2i2iii−i−i-121-2i−2i−i2iii−i−i-1-111ii−i−i0000-22002i−2i2i−2i00-2211-1-100000000−i−iii0000000000001-1−ii0000
χ6322-22-2-22-2-12−2i−2i2i2i-11122-2-112-2-1-2-21-1-222i−2i-1-111-111−2i−2i2i2iii−i−i1-2-12−i2ii−2iii−i−i11-1-1−i−iii00002-200−2i2i2i−2i00-22-1-11100000000ii−i−i0000000000001-1−ii0000
χ6422-22-2-22-2-12−2i−2i2i2i-11122-2-112-2-1-2-21-1-222i−2i-1-111-111−2i−2i2i2iii−i−i1-2-12−i2ii−2iii−i−i11-1-1−i−iii0000-22002i−2i−2i2i002-211-1-100000000−i−iii000000000000-11i−i0000
χ652-22-22-22-2222i−2i2i−2i-22-22-22-22-222-2-2-2200002-22-2-22-22i−2i2i−2i2i−2i2i−2i000000002i−2i2i−2i00000000000000000000000000000000000000002-22-22i−2i2i−2i000000000000
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χ1154-4-4-4-4444-2-2-444-422-2-2222222-2-2-2-2100001-1-11-1-112-2-222-2-2200000000-111-13i−3i−3i3i3i−3i−3i3i0000000000000000000000000000000000000000000000000000
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χ1208-8-888-8-88-4-4000044-4444-4-4-4-44-44420000-2-2-2222-200000000000000000000000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).