Finite Group Databasebeta

← Group #11805797

Character table — Group #11805797

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size11111111222222222222222222224444444444444444444466666666888888888888888888881212121212121212121212121212121212121212121212121212121218181818181818181818181824242424242424243636
order122222223344446666666666666634444666666612121212121212124444444412121212121212121212121212121212121212122244444444446666121212121212121212121212222244444444121212121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111-1-11111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111111111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
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
χ511111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ611111111111111111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1
χ711111111111111111111111111111-1-1-1-1111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-111-1-1
χ811111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111
χ91111111111-1-1-1-111111111111111111-1-11111111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1
χ101111111111-1-1-1-111111111111111111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-111
χ111111111111-1-1-1-111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-11111
χ121111111111-1-1-1-111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ131111111111-1-1-1-1111111111111111-1-1111111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1
χ141111111111-1-1-1-1111111111111111-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111
χ151111111111-1-1-1-1111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-111-1-111
χ161111111111-1-1-1-1111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1
χ1711-1-111-1-11111-1-11-111-1-1-11-1-1-11-111i−ii−i11-1-11-1-11111-1-1-1-1ii−i−i11-1-1i−iii−i−ii−i11-1-1ii−i−iii−i−i1-11-1i−ii−i1-1i−i11-1-1ii−i−iii−i−i11-1-111-1-111-1-1ii−i−i1-1i−ii−i1-1i−i
χ1811-1-111-1-11111-1-11-111-1-1-11-1-1-11-111i−ii−i11-1-11-1-11111-1-1-1-1ii−i−i-1-111i−iii−i−ii−i11-1-1ii−i−iii−i−i-111-1i−i−ii1-1−ii-1-111ii−i−iii−i−i-1-111-1-111-1-111−i−iii1-1−ii−ii1-1−ii
χ1911-1-111-1-11111-1-11-111-1-1-11-1-1-11-111i−ii−i11-1-11-1-11111-1-1-1-1−i−iii11-1-1i−iii−i−ii−i11-1-1ii−i−iii−i−i1-1-11−iii−i-11i−i11-1-1−i−iii−i−iii11-1-1-1-111-1-111−i−iii-11i−ii−i-11−ii
χ2011-1-111-1-11111-1-11-111-1-1-11-1-1-11-111i−ii−i11-1-11-1-11111-1-1-1-1−i−iii-1-111i−iii−i−ii−i11-1-1ii−i−iii−i−i-11-11−ii−ii-11−ii-1-111−i−iii−i−iii-1-11111-1-111-1-1ii−i−i-11−ii−ii-11i−i
χ2111-1-111-1-11111-1-11-111-1-1-11-1-1-11-111−ii−ii11-1-11-1-11111-1-1-1-1ii−i−i11-1-1−ii−i−iii−ii11-1-1−i−iii−i−iii1-1-11i−i−ii-11−ii11-1-1ii−i−iii−i−i11-1-1-1-111-1-111ii−i−i-11−ii−ii-11i−i
χ2211-1-111-1-11111-1-11-111-1-1-11-1-1-11-111−ii−ii11-1-11-1-11111-1-1-1-1ii−i−i-1-111−ii−i−iii−ii11-1-1−i−iii−i−iii-11-11i−ii−i-11i−i-1-111ii−i−iii−i−i-1-11111-1-111-1-1−i−iii-11i−ii−i-11−ii
χ2311-1-111-1-11111-1-11-111-1-1-11-1-1-11-111−ii−ii11-1-11-1-11111-1-1-1-1−i−iii11-1-1−ii−i−iii−ii11-1-1−i−iii−i−iii1-11-1−ii−ii1-1−ii11-1-1−i−iii−i−iii11-1-111-1-111-1-1−i−iii1-1−ii−ii1-1−ii
χ2411-1-111-1-11111-1-11-111-1-1-11-1-1-11-111−ii−ii11-1-11-1-11111-1-1-1-1−i−iii-1-111−ii−i−iii−ii11-1-1−i−iii−i−iii-111-1−iii−i1-1i−i-1-111−i−iii−i−iii-1-111-1-111-1-111ii−i−i1-1i−ii−i1-1i−i
χ2511-1-111-1-111-1-1111-111-1-1-11-1-1-11-111i−i−ii11-1-11-1-1-1-1-1-11111ii−i−i11-1-1i−i−i−iiii−i-1-111ii−i−i−i−iii-111-1−ii−ii-11i−i-1-111ii−i−i−i−iii11-1-1-1-11111-1-1ii−i−i1-1i−i−ii-11−ii
χ2611-1-111-1-111-1-1111-111-1-1-11-1-1-11-111i−i−ii11-1-11-1-1-1-1-1-11111ii−i−i-1-111i−i−i−iiii−i-1-111ii−i−i−i−iii1-11-1−iii−i-11−ii11-1-1ii−i−i−i−iii-1-11111-1-1-1-111−i−iii1-1−iii−i-11i−i
χ2711-1-111-1-111-1-1111-111-1-1-11-1-1-11-111i−i−ii11-1-11-1-1-1-1-1-11111−i−iii11-1-1i−i−i−iiii−i-1-111ii−i−i−i−iii-11-11i−i−ii1-1i−i-1-111−i−iiiii−i−i11-1-111-1-1-1-111−i−iii-11i−i−ii1-1i−i
χ2811-1-111-1-111-1-1111-111-1-1-11-1-1-11-111i−i−ii11-1-11-1-1-1-1-1-11111−i−iii-1-111i−i−i−iiii−i-1-111ii−i−i−i−iii1-1-11i−ii−i1-1−ii11-1-1−i−iiiii−i−i-1-111-1-11111-1-1ii−i−i-11−iii−i1-1−ii
χ2911-1-111-1-111-1-1111-111-1-1-11-1-1-11-111−iii−i11-1-11-1-1-1-1-1-11111ii−i−i11-1-1−iiii−i−i−ii-1-111−i−iiiii−i−i-11-11−iii−i1-1−ii-1-111ii−i−i−i−iii11-1-111-1-1-1-111ii−i−i-11−iii−i1-1−ii
χ3011-1-111-1-111-1-1111-111-1-1-11-1-1-11-111−iii−i11-1-11-1-1-1-1-1-11111ii−i−i-1-111−iiii−i−i−ii-1-111−i−iiiii−i−i1-1-11−ii−ii1-1i−i11-1-1ii−i−i−i−iii-1-111-1-11111-1-1−i−iii-11i−i−ii1-1i−i
χ3111-1-111-1-111-1-1111-111-1-1-11-1-1-11-111−iii−i11-1-11-1-1-1-1-1-11111−i−iii11-1-1−iiii−i−i−ii-1-111−i−iiiii−i−i-111-1i−ii−i-11−ii-1-111−i−iiiii−i−i11-1-1-1-11111-1-1−i−iii1-1−iii−i-11i−i
χ3211-1-111-1-111-1-1111-111-1-1-11-1-1-11-111−iii−i11-1-11-1-1-1-1-1-11111−i−iii-1-111−iiii−i−i−ii-1-111−i−iiiii−i−i1-11-1i−i−ii-11i−i11-1-1−i−iiiii−i−i-1-11111-1-1-1-111ii−i−i1-1i−i−ii-11−ii
χ33222222222-1222222-1-12-1-122-1-122-1-12222-1-1-1-1-1-1-122-1-122-1-100002222-1-12-12-122-1-1-1-1-1-1-1-1-1-1-1-1220000220022-1-1-1-100000000-1-1-1-100000000000000-1-1-1-10000
χ34222222222-1222222-1-12-1-122-1-122-1-12222-1-1-1-1-1-1-122-1-122-1-10000-2-2-2-2-1-12-12-122-1-1-1-1-1-1-1-1-1-1-1-1-2-20000-2-200-2-211110000000011110000000000000011110000
χ35222222222-1222222-1-12-1-122-1-122-1-1-2-2-2-2-1-1-1-1-1-1-122-1-122-1-10000222211-21-21-2-2-1-1-1-111111111220000-2-200-2-2-1-1-1-100000000-1-1-1-10000000000000011110000
χ36222222222-1222222-1-12-1-122-1-122-1-1-2-2-2-2-1-1-1-1-1-1-122-1-122-1-10000-2-2-2-211-21-21-2-2-1-1-1-111111111-2-20000220022111100000000111100000000000000-1-1-1-10000
χ37222222222-1-2-2-2-222-1-12-1-122-1-122-1-122-2-2-1-1-1-1-1-1-1-2-211-2-21100002222-1-1-21-21221111-1-1-1-11111-2-20000-2-20022111100000000-1-1-1-100000000000000-1-1110000
χ38222222222-1-2-2-2-222-1-12-1-122-1-122-1-122-2-2-1-1-1-1-1-1-1-2-211-2-2110000-2-2-2-2-1-1-21-21221111-1-1-1-111112200002200-2-2-1-1-1-10000000011110000000000000011-1-10000
χ39222222222-1-2-2-2-222-1-12-1-122-1-122-1-1-2-222-1-1-1-1-1-1-1-2-211-2-21100002222112-12-1-2-211111111-1-1-1-1-2-200002200-2-2111100000000-1-1-1-10000000000000011-1-10000
χ40222222222-1-2-2-2-222-1-12-1-122-1-122-1-1-2-222-1-1-1-1-1-1-1-2-211-2-2110000-2-2-2-2112-12-1-2-211111111-1-1-1-1220000-2-20022-1-1-1-100000000111100000000000000-1-1110000
χ4122222222-122222-1-122-122-1-122-1-12-12222-1-1-1-1-1-1-1-1-122-1-1222222000022-12-12-1-1-1-1-1-1-1-1-1-1-1-1-1-10022220022000000-1-1-1-1-1-1-1-10000000000000000-1-10000-1-100
χ4222222222-122222-1-122-122-1-122-1-12-12222-1-1-1-1-1-1-1-1-122-1-122-2-2-2-2000022-12-12-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-200-2-20000001111111100000000000000001100001100
χ4322222222-122222-1-122-122-1-122-1-12-1-2-2-2-2-1-1-1-1-1-1-1-1-122-1-12222220000-2-21-21-211-1-1-1-11111111100-2-22200-2-2000000-1-1-1-1-1-1-1-100000000000000001100001100
χ4422222222-122222-1-122-122-1-122-1-12-1-2-2-2-2-1-1-1-1-1-1-1-1-122-1-122-2-2-2-20000-2-21-21-211-1-1-1-1111111110022-2-20022000000111111110000000000000000-1-10000-1-100
χ4522222222-12-2-2-2-2-1-122-122-1-122-1-12-122-2-2-1-1-1-1-1-1-111-2-211-2-222220000221-21-2-1-11111-1-1-1-111110022-2-200-2-2000000-1-1-1-111110000000000000000-1-100001100
χ4622222222-12-2-2-2-2-1-122-122-1-122-1-12-122-2-2-1-1-1-1-1-1-111-2-211-2-2-2-2-2-20000221-21-2-1-11111-1-1-1-1111100-2-22200220000001111-1-1-1-10000000000000000110000-1-100
χ4722222222-12-2-2-2-2-1-122-122-1-122-1-12-1-2-222-1-1-1-1-1-1-111-2-211-2-222220000-2-2-12-121111111111-1-1-1-100-2-2-2-20022000000-1-1-1-111110000000000000000110000-1-100
χ4822222222-12-2-2-2-2-1-122-122-1-122-1-12-1-2-222-1-1-1-1-1-1-111-2-211-2-2-2-2-2-20000-2-2-12-121111111111-1-1-1-100222200-2-20000001111-1-1-1-10000000000000000-1-100001100
χ49222-2-2-2-22222i−2i2i−2i-222-2-22-22-22-2-22-2200002-22-2-22-22i−2i2i−2i2i−2i2i−2i00000000000000002i−2i2i−2i0000000000000000000000000000000000002-22-22i−2i2i−2i00000000000000
χ50222-2-2-2-22222i−2i2i−2i-222-2-22-22-22-2-22-2200002-22-2-22-22i−2i2i−2i2i−2i2i−2i00000000000000002i−2i2i−2i000000000000000000000000000000000000-22-22−2i2i−2i2i00000000000000
χ51222-2-2-2-2222−2i2i−2i2i-222-2-22-22-22-2-22-2200002-22-2-22-2−2i2i−2i2i−2i2i−2i2i0000000000000000−2i2i−2i2i0000000000000000000000000000000000002-22-2−2i2i−2i2i00000000000000
χ52222-2-2-2-2222−2i2i−2i2i-222-2-22-22-22-2-22-2200002-22-2-22-2−2i2i−2i2i−2i2i−2i2i0000000000000000−2i2i−2i2i000000000000000000000000000000000000-22-222i−2i2i−2i00000000000000
χ5322-22-2-22-2222i−2i−2i2i-2-22-22-2222-22-2-2-2200002-2-22-2-222i−2i2i−2i−2i2i−2i2i00000000000000002i−2i−2i2i0000000000000000000000000000000000002-2-222i−2i−2i2i00000000000000
χ5422-22-2-22-2222i−2i−2i2i-2-22-22-2222-22-2-2-2200002-2-22-2-222i−2i2i−2i−2i2i−2i2i00000000000000002i−2i−2i2i000000000000000000000000000000000000-222-2−2i2i2i−2i00000000000000
χ5522-22-2-22-222−2i2i2i−2i-2-22-22-2222-22-2-2-2200002-2-22-2-22−2i2i−2i2i2i−2i2i−2i0000000000000000−2i2i2i−2i0000000000000000000000000000000000002-2-22−2i2i2i−2i00000000000000
χ5622-22-2-22-222−2i2i2i−2i-2-22-22-2222-22-2-2-2200002-2-22-2-22−2i2i−2i2i2i−2i2i−2i0000000000000000−2i2i2i−2i000000000000000000000000000000000000-222-22i−2i−2i2i00000000000000
χ5722-2-222-2-22-122-2-22-2-1-1-2112-2112-2-1-12i−2i2i−2i-1-111-11122-1-1-2-211000022-2-2−ii2i−i−2ii2i−2i-1-111−i−iii−i−iii2-200002i−2i002i−2i-1-11100000000-1-11100000000000000−ii−ii0000
χ5822-2-222-2-22-122-2-22-2-1-1-2112-2112-2-1-12i−2i2i−2i-1-111-11122-1-1-2-2110000-2-222−ii2i−i−2ii2i−2i-1-111−i−iii−i−iii-220000−2i2i00−2i2i11-1-10000000011-1-100000000000000i−ii−i0000
χ5922-2-222-2-22-122-2-22-2-1-1-2112-2112-2-1-1−2i2i−2i2i-1-111-11122-1-1-2-211000022-2-2i−i−2ii2i−i−2i2i-1-111ii−i−iii−i−i2-20000−2i2i00−2i2i-1-11100000000-1-11100000000000000i−ii−i0000
χ6022-2-222-2-22-122-2-22-2-1-1-2112-2112-2-1-1−2i2i−2i2i-1-111-11122-1-1-2-2110000-2-222i−i−2ii2i−i−2i2i-1-111ii−i−iii−i−i-2200002i−2i002i−2i11-1-10000000011-1-100000000000000−ii−ii0000
χ6122-2-222-2-22-1-2-2222-2-1-1-2112-2112-2-1-12i−2i−2i2i-1-111-111-2-21122-1-1000022-2-2−ii−2ii2i−i2i−2i11-1-1−i−iiiii−i−i-220000−2i2i002i−2i11-1-100000000-1-11100000000000000−iii−i0000
χ6222-2-222-2-22-1-2-2222-2-1-1-2112-2112-2-1-12i−2i−2i2i-1-111-111-2-21122-1-10000-2-222−ii−2ii2i−i2i−2i11-1-1−i−iiiii−i−i2-200002i−2i00−2i2i-1-1110000000011-1-100000000000000i−i−ii0000
χ6322-2-222-2-22-1-2-2222-2-1-1-2112-2112-2-1-1−2i2i2i−2i-1-111-111-2-21122-1-1000022-2-2i−i2i−i−2ii−2i2i11-1-1ii−i−i−i−iii-2200002i−2i00−2i2i11-1-100000000-1-11100000000000000i−i−ii0000
χ6422-2-222-2-22-1-2-2222-2-1-1-2112-2112-2-1-1−2i2i2i−2i-1-111-111-2-21122-1-10000-2-222i−i2i−i−2ii−2i2i11-1-1ii−i−i−i−iii2-20000−2i2i002i−2i-1-1110000000011-1-100000000000000−iii−i0000
χ6522-2-222-2-2-1222-2-2-11221-2-2-11-2-2-112-12i−2i2i−2i-1-111-111-1-12211-2-22i2i−2i−2i00002i−2i−i2ii−2i−ii-1-111−i−iii−i−iii002-22i−2i002-2000000−i−iii−i−iii0000000000000000-110000-1100
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χ1268-8-8-88-888-4-400004-444-44-444-44-44-420000-2-22-22-2200000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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