Finite Group Databasebeta

← Group #11803624

Character table — Group #11803624

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size1111111122222222222222222222444444444444444444448888888888888888888812121212121212121212121212121212121212121212121212121212121212121818181818181818242424242424242436363636
order12222222334444666666666666663444466666661212121212121212121212121212121212121212121212121212121222224444444444446666666612121212121212124444444412121212121212122244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
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
χ511111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ611111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ711111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ811111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ91111111111-1-1-1-111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-111
χ101111111111-1-1-1-111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1
χ111111111111-1-1-1-111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1
χ121111111111-1-1-1-111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-111-1-111
χ131111111111-1-1-1-1111111111111111-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1
χ141111111111-1-1-1-1111111111111111-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-111
χ151111111111-1-1-1-1111111111111111-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111
χ161111111111-1-1-1-1111111111111111-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-111-1-111-1-1
χ1711-11-1-11-111ii−i−i11-1-1-1-11111-1-1-1-11i−i1-111-1-1-11-1iiii−i−i−i−i11-1-1ii−i−i11-1-1ii−i−iii−i−i1-11-1i−i1-1i−i1-1i−ii−i11-1-111-1-1ii−i−iii−i−i11-1-1ii−i−ii−i1-1i−i1-11-1i−i
χ1811-11-1-11-111ii−i−i11-1-1-1-11111-1-1-1-11i−i1-111-1-1-11-1iiii−i−i−i−i11-1-1ii−i−i11-1-1ii−i−iii−i−i1-1-11i−i1-1−ii-11i−i−ii11-1-1-1-111ii−i−i−i−iii-1-111−i−iiii−i1-1−ii-11-11−ii
χ1911-11-1-11-111ii−i−i11-1-1-1-11111-1-1-1-11i−i1-111-1-1-11-1iiii−i−i−i−i11-1-1ii−i−i11-1-1ii−i−iii−i−i-111-1−ii-11i−i1-1−iii−i-1-11111-1-1−i−iiiii−i−i-1-111−i−iii−ii-11i−i1-1-11−ii
χ2011-11-1-11-111ii−i−i11-1-1-1-11111-1-1-1-11i−i1-111-1-1-11-1iiii−i−i−i−i11-1-1ii−i−i11-1-1ii−i−iii−i−i-11-11−ii-11−ii-11−ii−ii-1-111-1-111−i−iii−i−iii11-1-1ii−i−i−ii-11−ii-111-1i−i
χ2111-11-1-11-111ii−i−i11-1-1-1-11111-1-1-1-11−ii-1111-1-1-11-1iiii−i−i−i−i-1-111−i−iii-1-111ii−i−i−i−iii1-11-1−ii-11−ii-11i−ii−i11-1-111-1-1ii−i−iii−i−i11-1-1ii−i−i−ii-11−ii-11-11−ii
χ2211-11-1-11-111ii−i−i11-1-1-1-11111-1-1-1-11−ii-1111-1-1-11-1iiii−i−i−i−i-1-111−i−iii-1-111ii−i−i−i−iii1-1-11−ii-11i−i1-1i−i−ii11-1-1-1-111ii−i−i−i−iii-1-111−i−iii−ii-11i−i1-11-1i−i
χ2311-11-1-11-111ii−i−i11-1-1-1-11111-1-1-1-11−ii-1111-1-1-11-1iiii−i−i−i−i-1-111−i−iii-1-111ii−i−i−i−iii-111-1i−i1-1−ii-11−iii−i-1-11111-1-1−i−iiiii−i−i-1-111−i−iiii−i1-1−ii-111-1i−i
χ2411-11-1-11-111ii−i−i11-1-1-1-11111-1-1-1-11−ii-1111-1-1-11-1iiii−i−i−i−i-1-111−i−iii-1-111ii−i−i−i−iii-11-11i−i1-1i−i1-1−ii−ii-1-111-1-111−i−iii−i−iii11-1-1ii−i−ii−i1-1i−i1-1-11−ii
χ2511-11-1-11-111−i−iii11-1-1-1-11111-1-1-1-11i−i-1111-1-1-11-1−i−i−i−iiiii-1-111ii−i−i-1-111−i−iiiii−i−i1-11-1i−i-11i−i-11−ii−ii11-1-111-1-1−i−iii−i−iii11-1-1−i−iiii−i-11i−i-11-11i−i
χ2611-11-1-11-111−i−iii11-1-1-1-11111-1-1-1-11i−i-1111-1-1-11-1−i−i−i−iiiii-1-111ii−i−i-1-111−i−iiiii−i−i1-1-11i−i-11−ii1-1−iii−i11-1-1-1-111−i−iiiii−i−i-1-111ii−i−ii−i-11−ii1-11-1−ii
χ2711-11-1-11-111−i−iii11-1-1-1-11111-1-1-1-11i−i-1111-1-1-11-1−i−i−i−iiiii-1-111ii−i−i-1-111−i−iiiii−i−i-111-1−ii1-1i−i-11i−i−ii-1-11111-1-1ii−i−i−i−iii-1-111ii−i−i−ii1-1i−i-111-1−ii
χ2811-11-1-11-111−i−iii11-1-1-1-11111-1-1-1-11i−i-1111-1-1-11-1−i−i−i−iiiii-1-111ii−i−i-1-111−i−iiiii−i−i-11-11−ii1-1−ii1-1i−ii−i-1-111-1-111ii−i−iii−i−i11-1-1−i−iii−ii1-1−ii1-1-11i−i
χ2911-11-1-11-111−i−iii11-1-1-1-11111-1-1-1-11−ii1-111-1-1-11-1−i−i−i−iiiii11-1-1−i−iii11-1-1−i−iii−i−iii1-11-1−ii1-1−ii1-1−ii−ii11-1-111-1-1−i−iii−i−iii11-1-1−i−iii−ii1-1−ii1-11-1−ii
χ3011-11-1-11-111−i−iii11-1-1-1-11111-1-1-1-11−ii1-111-1-1-11-1−i−i−i−iiiii11-1-1−i−iii11-1-1−i−iii−i−iii1-1-11−ii1-1i−i-11−iii−i11-1-1-1-111−i−iiiii−i−i-1-111ii−i−i−ii1-1i−i-11-11i−i
χ3111-11-1-11-111−i−iii11-1-1-1-11111-1-1-1-11−ii1-111-1-1-11-1−i−i−i−iiiii11-1-1−i−iii11-1-1−i−iii−i−iii-111-1i−i-11−ii1-1i−i−ii-1-11111-1-1ii−i−i−i−iii-1-111ii−i−ii−i-11−ii1-1-11i−i
χ3211-11-1-11-111−i−iii11-1-1-1-11111-1-1-1-11−ii1-111-1-1-11-1−i−i−i−iiiii11-1-1−i−iii11-1-1−i−iii−i−iii-11-11i−i-11i−i-11i−ii−i-1-111-1-111ii−i−iii−i−i11-1-1−i−iiii−i-11i−i-111-1−ii
χ33222222222-122222-122-1-12-12-12-12-1-12222-1-1-1-1-1-1-122-1-122-1-12-12-12-12-1-1-1-1-1-1-1-1-1-1-1-1-100220000222200220000-1-1-1-10000-1-1-1-1000000000000-1-1-1-10000
χ34222222222-122222-122-1-12-12-12-12-1-12222-1-1-1-1-1-1-122-1-122-1-12-12-12-12-1-1-1-1-1-1-1-1-1-1-1-1-100-2-20000-2-2-2-200-2-2000011110000111100000000000011110000
χ35222222222-122222-122-1-12-12-12-12-1-1-2-2-2-2-1-1-1-1-1-1-122-1-122-1-1-21-21-21-211111-1-1-1-1111100220000-2-2-2-200220000-1-1-1-10000-1-1-1-100000000000011110000
χ36222222222-122222-122-1-12-12-12-12-1-1-2-2-2-2-1-1-1-1-1-1-122-1-122-1-1-21-21-21-211111-1-1-1-1111100-2-20000222200-2-20000111100001111000000000000-1-1-1-10000
χ37222222222-1-2-2-2-22-122-1-12-12-12-12-1-122-2-2-1-1-1-1-1-1-1-2-211-2-211-21-212-12-111111111-1-1-1-10022000022-2-200-2-20000-1-1-1-100001111000000000000-1-1110000
χ38222222222-1-2-2-2-22-122-1-12-12-12-12-1-122-2-2-1-1-1-1-1-1-1-2-211-2-211-21-212-12-111111111-1-1-1-100-2-20000-2-2220022000011110000-1-1-1-100000000000011-1-10000
χ39222222222-1-2-2-2-22-122-1-12-12-12-12-1-1-2-222-1-1-1-1-1-1-1-2-211-2-2112-12-1-21-21-1-1-1-11111111100220000-2-22200-2-20000-1-1-1-10000111100000000000011-1-10000
χ40222222222-1-2-2-2-22-122-1-12-12-12-12-1-1-2-222-1-1-1-1-1-1-1-2-211-2-2112-12-1-21-21-1-1-1-11111111100-2-2000022-2-20022000011110000-1-1-1-1000000000000-1-1110000
χ4122222222-122222-12-1-122-12-12-12-12-12222-1-1-1-1-1-1-1-1-122-1-122-12-12-12-12-1-1-1-1-1-1-1-1-1-1-1-12200222200002200-1-1-1-10000-1-1-1-1000000000000-1-1-1-100000000
χ4222222222-122222-12-1-122-12-12-12-12-12222-1-1-1-1-1-1-1-1-122-1-122-12-12-12-12-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-2-2-20000-2-200111100001111000000000000111100000000
χ4322222222-122222-12-1-122-12-12-12-12-1-2-2-2-2-1-1-1-1-1-1-1-1-122-1-1221-21-21-21-21111-1-1-1-111112200-2-2-2-200002200-1-1-1-10000-1-1-1-1000000000000111100000000
χ4422222222-122222-12-1-122-12-12-12-12-1-2-2-2-2-1-1-1-1-1-1-1-1-122-1-1221-21-21-21-21111-1-1-1-11111-2-20022220000-2-200111100001111000000000000-1-1-1-100000000
χ4522222222-12-2-2-2-2-12-1-122-12-12-12-12-122-2-2-1-1-1-1-1-1-111-2-211-2-21-21-2-12-1211111111-1-1-1-1220022-2-20000-2-200-1-1-1-100001111000000000000-1-11100000000
χ4622222222-12-2-2-2-2-12-1-122-12-12-12-12-122-2-2-1-1-1-1-1-1-111-2-211-2-21-21-2-12-1211111111-1-1-1-1-2-200-2-2220000220011110000-1-1-1-100000000000011-1-100000000
χ4722222222-12-2-2-2-2-12-1-122-12-12-12-12-1-2-222-1-1-1-1-1-1-111-2-211-2-2-12-121-21-2-1-1-1-1111111112200-2-2220000-2-200-1-1-1-10000111100000000000011-1-100000000
χ4822222222-12-2-2-2-2-12-1-122-12-12-12-12-1-2-222-1-1-1-1-1-1-111-2-211-2-2-12-121-21-2-1-1-1-111111111-2-20022-2-20000220011110000-1-1-1-1000000000000-1-11100000000
χ4922-22-2-22-22-12i2i−2i−2i2-1-2-2112-12-1-21-21-12i−2i2-2-1-1111-112i2i−i−i−2i−2iii2-1-212i−i−2ii-1-111−i−iii−i−iii002-200002i−2i2-2002i−2i0000-1-1110000−i−iii000000000000−ii-110000
χ5022-22-2-22-22-12i2i−2i−2i2-1-2-2112-12-1-21-21-12i−2i2-2-1-1111-112i2i−i−i−2i−2iii2-1-212i−i−2ii-1-111−i−iii−i−iii00-220000−2i2i-2200−2i2i000011-1-10000ii−i−i000000000000i−i1-10000
χ5122-22-2-22-22-12i2i−2i−2i2-1-2-2112-12-1-21-21-1−2i2i-22-1-1111-112i2i−i−i−2i−2iii-212-1−2ii2i−i11-1-1−i−iiiii−i−i002-20000−2i2i-22002i−2i0000-1-1110000−i−iii000000000000i−i1-10000
χ5222-22-2-22-22-12i2i−2i−2i2-1-2-2112-12-1-21-21-1−2i2i-22-1-1111-112i2i−i−i−2i−2iii-212-1−2ii2i−i11-1-1−i−iiiii−i−i00-2200002i−2i2-200−2i2i000011-1-10000ii−i−i000000000000−ii-110000
χ5322-22-2-22-22-1−2i−2i2i2i2-1-2-2112-12-1-21-21-12i−2i-22-1-1111-11−2i−2iii2i2i−i−i-212-12i−i−2ii11-1-1ii−i−i−i−iii002-200002i−2i-2200−2i2i0000-1-1110000ii−i−i000000000000−ii1-10000
χ5422-22-2-22-22-1−2i−2i2i2i2-1-2-2112-12-1-21-21-12i−2i-22-1-1111-11−2i−2iii2i2i−i−i-212-12i−i−2ii11-1-1ii−i−i−i−iii00-220000−2i2i2-2002i−2i000011-1-10000−i−iii000000000000i−i-110000
χ5522-22-2-22-22-1−2i−2i2i2i2-1-2-2112-12-1-21-21-1−2i2i2-2-1-1111-11−2i−2iii2i2i−i−i2-1-21−2ii2i−i-1-111ii−i−iii−i−i002-20000−2i2i2-200−2i2i0000-1-1110000ii−i−i000000000000i−i-110000
χ5622-22-2-22-22-1−2i−2i2i2i2-1-2-2112-12-1-21-21-1−2i2i2-2-1-1111-11−2i−2iii2i2i−i−i2-1-21−2ii2i−i-1-111ii−i−iii−i−i00-2200002i−2i-22002i−2i000011-1-10000−i−iii000000000000−ii1-10000
χ5722-22-2-22-2-122i2i−2i−2i-1211-2-2-12-121-21-2-12i−2i2-2-1-1111-11−i−i2i2iii−2i−2i-121-2−i2ii−2i-1-111−i−iii−i−iii2-2002i−2i2-200002i−2i00-1-1110000−i−iii000000000000−ii-1100000000
χ5822-22-2-22-2-122i2i−2i−2i-1211-2-2-12-121-21-2-12i−2i2-2-1-1111-11−i−i2i2iii−2i−2i-121-2−i2ii−2i-1-111−i−iii−i−iii-2200−2i2i-220000−2i2i0011-1-10000ii−i−i000000000000i−i1-100000000
χ5922-22-2-22-2-122i2i−2i−2i-1211-2-2-12-121-21-2-1−2i2i-22-1-1111-11−i−i2i2iii−2i−2i1-2-12i−2i−i2i11-1-1−i−iiiii−i−i2-200−2i2i-2200002i−2i00-1-1110000−i−iii000000000000i−i1-100000000
χ6022-22-2-22-2-122i2i−2i−2i-1211-2-2-12-121-21-2-1−2i2i-22-1-1111-11−i−i2i2iii−2i−2i1-2-12i−2i−i2i11-1-1−i−iiiii−i−i-22002i−2i2-20000−2i2i0011-1-10000ii−i−i000000000000−ii-1100000000
χ6122-22-2-22-2-12−2i−2i2i2i-1211-2-2-12-121-21-2-12i−2i-22-1-1111-11ii−2i−2i−i−i2i2i1-2-12−i2ii−2i11-1-1ii−i−i−i−iii2-2002i−2i-220000−2i2i00-1-1110000ii−i−i000000000000−ii1-100000000
χ6222-22-2-22-2-12−2i−2i2i2i-1211-2-2-12-121-21-2-12i−2i-22-1-1111-11ii−2i−2i−i−i2i2i1-2-12−i2ii−2i11-1-1ii−i−i−i−iii-2200−2i2i2-200002i−2i0011-1-10000−i−iii000000000000i−i-1100000000
χ6322-22-2-22-2-12−2i−2i2i2i-1211-2-2-12-121-21-2-1−2i2i2-2-1-1111-11ii−2i−2i−i−i2i2i-121-2i−2i−i2i-1-111ii−i−iii−i−i2-200−2i2i2-20000−2i2i00-1-1110000ii−i−i000000000000i−i-1100000000
χ6422-22-2-22-2-12−2i−2i2i2i-1211-2-2-12-121-21-2-1−2i2i2-2-1-1111-11ii−2i−2i−i−i2i2i-121-2i−2i−i2i-1-111ii−i−iii−i−i-22002i−2i-2200002i−2i0011-1-10000−i−iii000000000000−ii1-100000000
χ652-22-22-22-2222i−2i2i−2i-2-22-22-222-2-222-2-220000-2-222-22-22i−2i2i−2i2i−2i2i−2i0000000000002i−2i2i−2i0000000000000000000000000000000000002-22-22i−2i2i−2i000000000000
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Here i is the imaginary unit (i² = −1).