Finite Group Databasebeta

← Group #11807521

Character table — Group #11807521

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size11111111222222222222222222224444444444444444444466666666888888888888888888881212121212121212121212121212121212121212121212121212121218181818181818181818181824242424242424243636
order122222223344446666666666666634444666666612121212121212124444444412121212121212121212121212121212121212122222444444441212121212121212121212121212121244444444444466661212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1
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
χ511111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ611111111111111111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1
χ711111111111111111111111111111-1-1-1-1111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111111111-1-111-1-1-1-1
χ811111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111
χ91111111111-1-1-1-111111111111111111-1-11111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1
χ101111111111-1-1-1-111111111111111111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111
χ111111111111-1-1-1-111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111
χ121111111111-1-1-1-111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1111111111111-1-1-1-111-1-1-1-111-1-1
χ131111111111-1-1-1-1111111111111111-1-1111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1
χ141111111111-1-1-1-1111111111111111-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111
χ151111111111-1-1-1-1111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111
χ161111111111-1-1-1-1111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1111111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-11111-1-1-1-1
χ1711-11-1-1-1111ii−i−i11-1-111-1-111-1-1-1-111-1i−i11-1-1-11-1iiii−i−i−i−iii−i−i11-1-111-1-1ii−i−i11-1-1ii−i−iii−i−i1-11-11-1i−ii−ii−iii−i−i11-1-111-1-1ii−i−iii−i−iii−i−i11-1-11-11-1i−ii−i1-1
χ1811-11-1-1-1111ii−i−i11-1-111-1-111-1-1-1-111-1i−i11-1-1-11-1iiii−i−i−i−iii−i−i-1-11111-1-1ii−i−i11-1-1ii−i−iii−i−i1-1-111-1i−i−ii−iiii−i−i11-1-1-1-111−i−iii−i−iii−i−iii-1-1111-1-11i−i−ii-11
χ1911-11-1-1-1111ii−i−i11-1-111-1-111-1-1-1-111-1i−i11-1-1-11-1iiii−i−i−i−i−i−iii11-1-111-1-1ii−i−i11-1-1ii−i−iii−i−i-111-1-11−iii−ii−i−i−iii-1-11111-1-1ii−i−i−i−iii−i−iii-1-111-111-1−iii−i-11
χ2011-11-1-1-1111ii−i−i11-1-111-1-111-1-1-1-111-1i−i11-1-1-11-1iiii−i−i−i−i−i−iii-1-11111-1-1ii−i−i11-1-1ii−i−iii−i−i-11-11-11−ii−ii−ii−i−iii-1-111-1-111−i−iiiii−i−iii−i−i11-1-1-11-11−ii−ii1-1
χ2111-11-1-1-1111ii−i−i11-1-111-1-111-1-1-1-11-11−ii11-1-1-11-1iiii−i−i−i−iii−i−i11-1-1-1-111−i−iii-1-111ii−i−i−i−iii-11-111-1−ii−iii−iii−i−i11-1-111-1-1ii−i−iii−i−i−i−iii-1-111-11-11−ii−ii1-1
χ2211-11-1-1-1111ii−i−i11-1-111-1-111-1-1-1-11-11−ii11-1-1-11-1iiii−i−i−i−iii−i−i-1-111-1-111−i−iii-1-111ii−i−i−i−iii-111-11-1−iii−i−iiii−i−i11-1-1-1-111−i−iii−i−iiiii−i−i11-1-1-111-1−iii−i-11
χ2311-11-1-1-1111ii−i−i11-1-111-1-111-1-1-1-11-11−ii11-1-1-11-1iiii−i−i−i−i−i−iii11-1-1-1-111−i−iii-1-111ii−i−i−i−iii1-1-11-11i−i−iii−i−i−iii-1-11111-1-1ii−i−i−i−iiiii−i−i11-1-11-1-11i−i−ii-11
χ2411-11-1-1-1111ii−i−i11-1-111-1-111-1-1-1-11-11−ii11-1-1-11-1iiii−i−i−i−i−i−iii-1-111-1-111−i−iii-1-111ii−i−i−i−iii1-11-1-11i−ii−i−ii−i−iii-1-111-1-111−i−iiiii−i−i−i−iii-1-1111-11-1i−ii−i1-1
χ2511-11-1-1-1111−i−iii11-1-111-1-111-1-1-1-111-1−ii11-1-1-11-1−i−i−i−iiiiiii−i−i11-1-111-1-1−i−iii11-1-1−i−iii−i−iii-111-1-11i−i−ii−iiii−i−i-1-11111-1-1−i−iiiii−i−iii−i−i-1-111-111-1i−i−ii-11
χ2611-11-1-1-1111−i−iii11-1-111-1-111-1-1-1-111-1−ii11-1-1-11-1−i−i−i−iiiiiii−i−i-1-11111-1-1−i−iii11-1-1−i−iii−i−iii-11-11-11i−ii−ii−iii−i−i-1-111-1-111ii−i−i−i−iii−i−iii11-1-1-11-11i−ii−i1-1
χ2711-11-1-1-1111−i−iii11-1-111-1-111-1-1-1-111-1−ii11-1-1-11-1−i−i−i−iiiii−i−iii11-1-111-1-1−i−iii11-1-1−i−iii−i−iii1-11-11-1−ii−ii−ii−i−iii11-1-111-1-1−i−iii−i−iii−i−iii11-1-11-11-1−ii−ii1-1
χ2811-11-1-1-1111−i−iii11-1-111-1-111-1-1-1-111-1−ii11-1-1-11-1−i−i−i−iiiii−i−iii-1-11111-1-1−i−iii11-1-1−i−iii−i−iii1-1-111-1−iii−ii−i−i−iii11-1-1-1-111ii−i−iii−i−iii−i−i-1-1111-1-11−iii−i-11
χ2911-11-1-1-1111−i−iii11-1-111-1-111-1-1-1-11-11i−i11-1-1-11-1−i−i−i−iiiiiii−i−i11-1-1-1-111ii−i−i-1-111−i−iiiii−i−i1-1-11-11−iii−i−iiii−i−i-1-11111-1-1−i−iiiii−i−i−i−iii11-1-11-1-11−iii−i-11
χ3011-11-1-1-1111−i−iii11-1-111-1-111-1-1-1-11-11i−i11-1-1-11-1−i−i−i−iiiiiii−i−i-1-111-1-111ii−i−i-1-111−i−iiiii−i−i1-11-1-11−ii−iii−iii−i−i-1-111-1-111ii−i−i−i−iiiii−i−i-1-1111-11-1−ii−ii1-1
χ3111-11-1-1-1111−i−iii11-1-111-1-111-1-1-1-11-11i−i11-1-1-11-1−i−i−i−iiiii−i−iii11-1-1-1-111ii−i−i-1-111−i−iiiii−i−i-11-111-1i−ii−i−ii−i−iii11-1-111-1-1−i−iii−i−iiiii−i−i-1-111-11-11i−ii−i1-1
χ3211-11-1-1-1111−i−iii11-1-111-1-111-1-1-1-11-11i−i11-1-1-11-1−i−i−i−iiiii−i−iii-1-111-1-111ii−i−i-1-111−i−iiiii−i−i-111-11-1i−i−iii−i−i−iii11-1-1-1-111ii−i−iii−i−i−i−iii11-1-1-111-1i−i−ii-11
χ33222222222-122222-12-12-12-12-122-1-1-12222-1-1-1-1-1-1-122-1-122-1-1000022222-12-12-12-1-1-1-1-1-1-1-1-1-1-1-1-100220000222200000000-1-1-1-1-1-1-1-100000000000000-1-100-1-100
χ34222222222-122222-12-12-12-12-122-1-1-12222-1-1-1-1-1-1-122-1-122-1-10000-2-2-2-22-12-12-12-1-1-1-1-1-1-1-1-1-1-1-1-100-2-20000-2-2-2-200000000111111110000000000000011001100
χ35222222222-122222-12-12-12-12-122-1-1-1-2-2-2-2-1-1-1-1-1-1-122-1-122-1-100002222-21-21-21-211111-1-1-1-1111100-2-20000-2-22200000000-1-1-1-1-1-1-1-10000000000000011001100
χ36222222222-122222-12-12-12-12-122-1-1-1-2-2-2-2-1-1-1-1-1-1-122-1-122-1-10000-2-2-2-2-21-21-21-211111-1-1-1-111110022000022-2-2000000001111111100000000000000-1-100-1-100
χ37222222222-1-2-2-2-22-12-12-12-12-122-1-1-122-2-2-1-1-1-1-1-1-1-2-211-2-211000022222-12-1-21-21-1-1-1-11111111100220000-2-2-2-200000000-1-1-1-1111100000000000000-1-1001100
χ38222222222-1-2-2-2-22-12-12-12-12-122-1-1-122-2-2-1-1-1-1-1-1-1-2-211-2-2110000-2-2-2-22-12-1-21-21-1-1-1-11111111100-2-200002222000000001111-1-1-1-1000000000000001100-1-100
χ39222222222-1-2-2-2-22-12-12-12-12-122-1-1-1-2-222-1-1-1-1-1-1-1-2-211-2-21100002222-21-212-12-111111111-1-1-1-100-2-2000022-2-200000000-1-1-1-11111000000000000001100-1-100
χ40222222222-1-2-2-2-22-12-12-12-12-122-1-1-1-2-222-1-1-1-1-1-1-1-2-211-2-2110000-2-2-2-2-21-212-12-111111111-1-1-1-100220000-2-222000000001111-1-1-1-100000000000000-1-1001100
χ4122222222-122222-12-12-12-12-12-1-122-12222-1-1-1-1-1-1-1-1-122-1-12222220000-12-12-12-12-1-1-1-1-1-1-1-1-1-1-1-1220022220000-1-1-1-1-1-1-1-100000000000000000000-1-100-1-10000
χ4222222222-122222-12-12-12-12-12-1-122-12222-1-1-1-1-1-1-1-1-122-1-122-2-2-2-20000-12-12-12-12-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-2-2-2000011111111000000000000000000001100110000
χ4322222222-122222-12-12-12-12-12-1-122-1-2-2-2-2-1-1-1-1-1-1-1-1-122-1-122222200001-21-21-21-21111-1-1-1-11111-2-20022-2-20000-1-1-1-1-1-1-1-1000000000000000000001100110000
χ4422222222-122222-12-12-12-12-12-1-122-1-2-2-2-2-1-1-1-1-1-1-1-1-122-1-122-2-2-2-200001-21-21-21-21111-1-1-1-111112200-2-22200001111111100000000000000000000-1-100-1-10000
χ4522222222-12-2-2-2-2-12-12-12-12-12-1-122-122-2-2-1-1-1-1-1-1-111-2-211-2-222220000-12-121-21-2-1-1-1-111111111-2-200-2-2220000-1-1-1-11111000000000000000000001100-1-10000
χ4622222222-12-2-2-2-2-12-12-12-12-12-1-122-122-2-2-1-1-1-1-1-1-111-2-211-2-2-2-2-2-20000-12-121-21-2-1-1-1-111111111220022-2-200001111-1-1-1-100000000000000000000-1-100110000
χ4722222222-12-2-2-2-2-12-12-12-12-12-1-122-1-2-222-1-1-1-1-1-1-111-2-211-2-2222200001-21-2-12-1211111111-1-1-1-12200-2-2-2-20000-1-1-1-1111100000000000000000000-1-100110000
χ4822222222-12-2-2-2-2-12-12-12-12-12-1-122-1-2-222-1-1-1-1-1-1-111-2-211-2-2-2-2-2-200001-21-2-12-1211111111-1-1-1-1-2-200222200001111-1-1-1-1000000000000000000001100-1-10000
χ49222-22-2-2-2222-22-2-2-2-2-22222-2-22-22-220000-2-22-2-2222-22-22-22-2000000000000000000002-22-20000000000000000000000000000000000002i−2i2i−2i2i−2i2i−2i0000000000
χ50222-22-2-2-2222-22-2-2-2-2-22222-2-22-22-220000-2-22-2-2222-22-22-22-2000000000000000000002-22-2000000000000000000000000000000000000−2i2i−2i2i−2i2i−2i2i0000000000
χ51222-22-2-2-222-22-22-2-2-2-22222-2-22-22-220000-2-22-2-222-22-22-22-2200000000000000000000-22-220000000000000000000000000000000000002i−2i2i−2i−2i2i−2i2i0000000000
χ52222-22-2-2-222-22-22-2-2-2-22222-2-22-22-220000-2-22-2-222-22-22-22-2200000000000000000000-22-22000000000000000000000000000000000000−2i2i−2i2i2i−2i2i−2i0000000000
χ5322-22-2-2-222-12i2i−2i−2i2-1-212-1-212-1-2-211-12-22i−2i-1-1111-112i2i−i−i−2i−2iii000022-2-22-1-212i−i−2ii-1-111−i−iii−i−iii002-200002i−2i2i−2i00000000-1-111−i−iii00000000000000-1100−ii00
χ5422-22-2-2-222-12i2i−2i−2i2-1-212-1-212-1-2-211-12-22i−2i-1-1111-112i2i−i−i−2i−2iii0000-2-2222-1-212i−i−2ii-1-111−i−iii−i−iii00-220000−2i2i−2i2i0000000011-1-1ii−i−i000000000000001-100i−i00
χ5522-22-2-2-222-12i2i−2i−2i2-1-212-1-212-1-2-211-1-22−2i2i-1-1111-112i2i−i−i−2i−2iii000022-2-2-212-1−2ii2i−i11-1-1−i−iiiii−i−i00-220000−2i2i2i−2i00000000-1-111−i−iii000000000000001-100i−i00
χ5622-22-2-2-222-12i2i−2i−2i2-1-212-1-212-1-2-211-1-22−2i2i-1-1111-112i2i−i−i−2i−2iii0000-2-222-212-1−2ii2i−i11-1-1−i−iiiii−i−i002-200002i−2i−2i2i0000000011-1-1ii−i−i00000000000000-1100−ii00
χ5722-22-2-2-222-1−2i−2i2i2i2-1-212-1-212-1-2-211-12-2−2i2i-1-1111-11−2i−2iii2i2i−i−i000022-2-22-1-21−2ii2i−i-1-111ii−i−iii−i−i002-20000−2i2i−2i2i00000000-1-111ii−i−i00000000000000-1100i−i00
χ5822-22-2-2-222-1−2i−2i2i2i2-1-212-1-212-1-2-211-12-2−2i2i-1-1111-11−2i−2iii2i2i−i−i0000-2-2222-1-21−2ii2i−i-1-111ii−i−iii−i−i00-2200002i−2i2i−2i0000000011-1-1−i−iii000000000000001-100−ii00
χ5922-22-2-2-222-1−2i−2i2i2i2-1-212-1-212-1-2-211-1-222i−2i-1-1111-11−2i−2iii2i2i−i−i000022-2-2-212-12i−i−2ii11-1-1ii−i−i−i−iii00-2200002i−2i−2i2i00000000-1-111ii−i−i000000000000001-100−ii00
χ6022-22-2-2-222-1−2i−2i2i2i2-1-212-1-212-1-2-211-1-222i−2i-1-1111-11−2i−2iii2i2i−i−i0000-2-222-212-12i−i−2ii11-1-1ii−i−i−i−iii002-20000−2i2i2i−2i0000000011-1-1−i−iii00000000000000-1100i−i00
χ6122-22-2-2-22-122i2i−2i−2i-121-2-121-2-1211-2-2-12-22i−2i-1-1111-11−i−i2i2iii−2i−2i2i2i−2i−2i0000-121-2−i2ii−2i-1-111−i−iii−i−iii2-2002-22i−2i0000−i−iii-1-11100000000000000000000-1100−ii0000
χ6222-22-2-2-22-122i2i−2i−2i-121-2-121-2-1211-2-2-12-22i−2i-1-1111-11−i−i2i2iii−2i−2i−2i−2i2i2i0000-121-2−i2ii−2i-1-111−i−iii−i−iii-2200-22−2i2i0000ii−i−i11-1-1000000000000000000001-100i−i0000
χ6322-22-2-2-22-122i2i−2i−2i-121-2-121-2-1211-2-2-1-22−2i2i-1-1111-11−i−i2i2iii−2i−2i2i2i−2i−2i00001-2-12i−2i−i2i11-1-1−i−iiiii−i−i-22002-2−2i2i0000−i−iii-1-111000000000000000000001-100i−i0000
χ6422-22-2-2-22-122i2i−2i−2i-121-2-121-2-1211-2-2-1-22−2i2i-1-1111-11−i−i2i2iii−2i−2i−2i−2i2i2i00001-2-12i−2i−i2i11-1-1−i−iiiii−i−i2-200-222i−2i0000ii−i−i11-1-100000000000000000000-1100−ii0000
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χ8144444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-2144441111111-2-2-2-2-2-2-2-200000000-2-2-2-2-2-2-2-211111111111100000000000000000000000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).