Finite Group Databasebeta

← Group #11807137

Character table — Group #11807137

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size11111111222222222222222244444444444444444444446666666666666666888888888888888888881212121212121212121212121212121212121212121212121818181818181818242424242424242436363636
order1222222233666666666666663444444666666612121212121212124444444444444444121212121212121212121212121212121212121244444444121212121212121212121212121212124444444412121212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ5111111111111111111111111111-1-1-1-111111111111-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1
χ6111111111111111111111111111-1-1-1-111111111111-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111
χ7111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-111
χ8111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-11111-1-1
χ91111111111111111111111111-1-111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111
χ101111111111111111111111111-1-111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-1-1
χ111111111111111111111111111-1-111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-111111111-1-1-1-11111111111-1-1-1-111-1-1-1-1
χ121111111111111111111111111-1-111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-11111
χ131111111111111111111111111-1-1-1-1111111111-1-1-1-111111111-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-111-1-1
χ141111111111111111111111111-1-1-1-1111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-111
χ151111111111111111111111111-1-1-1-1111111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-111-1-1-1-1-1-111
χ161111111111111111111111111-1-1-1-1111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1
χ171-11-11-1-1111111-1-1-1-11-1-1-11-111i−ii−i1-111-1-1-11-1ii−i−i11-1-111-1-1ii−i−iii−i−iii−i−ii−ii−i1-1i−i11-1-1ii−i−iii−i−ii−i1-11-11-111-1-1ii−i−iii−i−iii−i−i11-1-1ii−i−i1-1i−i1-11-1i−i1-1
χ181-11-11-1-1111111-1-1-1-11-1-1-11-111i−ii−i1-111-1-1-11-1ii−i−i11-1-111-1-1ii−i−i−i−iii−i−iiii−ii−i1-1i−i11-1-1ii−i−iii−i−ii−i1-1-11-1111-1-1ii−i−i−i−iii−i−iii-1-111−i−iii1-1i−i-11-11−ii-11
χ191-11-11-1-1111111-1-1-1-11-1-1-11-111i−ii−i1-111-1-1-11-1ii−i−i11-1-1-1-111−i−iiiii−i−iii−i−ii−ii−i1-1i−i11-1-1ii−i−iii−i−i−ii-111-11-1-1-111−i−iiiii−i−iii−i−i-1-111−i−iii-11−ii1-11-1−ii-11
χ201-11-11-1-1111111-1-1-1-11-1-1-11-111i−ii−i1-111-1-1-11-1ii−i−i11-1-1-1-111−i−iii−i−iii−i−iiii−ii−i1-1i−i11-1-1ii−i−iii−i−i−ii-11-11-11-1-111−i−iii−i−iii−i−iii11-1-1ii−i−i-11−ii-11-11i−i1-1
χ211-11-11-1-1111111-1-1-1-11-1-1-11-111i−i−ii-1111-1-1-11-1ii−i−i-1-11111-1-1ii−i−iii−i−i−i−iiii−i−ii-11−ii-1-111ii−i−i−i−iii−ii-111-1-1111-1-1ii−i−iii−i−i−i−iii11-1-1−i−iii-11−ii1-1-11i−i-11
χ221-11-11-1-1111111-1-1-1-11-1-1-11-111i−i−ii-1111-1-1-11-1ii−i−i-1-11111-1-1ii−i−i−i−iiiii−i−ii−i−ii-11−ii-1-111ii−i−i−i−iii−ii-11-111-111-1-1ii−i−i−i−iiiii−i−i-1-111ii−i−i-11−ii-111-1−ii1-1
χ231-11-11-1-1111111-1-1-1-11-1-1-11-111i−i−ii-1111-1-1-11-1ii−i−i-1-111-1-111−i−iiiii−i−i−i−iiii−i−ii-11−ii-1-111ii−i−i−i−iiii−i1-11-1-11-1-111−i−iiiii−i−i−i−iii-1-111ii−i−i1-1i−i1-1-11−ii1-1
χ241-11-11-1-1111111-1-1-1-11-1-1-11-111i−i−ii-1111-1-1-11-1ii−i−i-1-111-1-111−i−iii−i−iiiii−i−ii−i−ii-11−ii-1-111ii−i−i−i−iiii−i1-1-111-1-1-111−i−iii−i−iiiii−i−i11-1-1−i−iii1-1i−i-111-1i−i-11
χ251-11-11-1-1111111-1-1-1-11-1-1-11-111−iii−i-1111-1-1-11-1−i−iii-1-11111-1-1−i−iiiii−i−i−i−iii−iii−i-11i−i-1-111−i−iiiii−i−ii−i-11-111-111-1-1−i−iiiii−i−i−i−iii-1-111−i−iii-11i−i-111-1i−i1-1
χ261-11-11-1-1111111-1-1-1-11-1-1-11-111−iii−i-1111-1-1-11-1−i−iii-1-11111-1-1−i−iii−i−iiiii−i−i−iii−i-11i−i-1-111−i−iiiii−i−ii−i-111-1-1111-1-1−i−iii−i−iiiii−i−i11-1-1ii−i−i-11i−i1-1-11−ii-11
χ271-11-11-1-1111111-1-1-1-11-1-1-11-111−iii−i-1111-1-1-11-1−i−iii-1-111-1-111ii−i−iii−i−i−i−iii−iii−i-11i−i-1-111−i−iiiii−i−i−ii1-1-111-1-1-111ii−i−iii−i−i−i−iii11-1-1ii−i−i1-1−ii-111-1−ii-11
χ281-11-11-1-1111111-1-1-1-11-1-1-11-111−iii−i-1111-1-1-11-1−i−iii-1-111-1-111ii−i−i−i−iiiii−i−i−iii−i-11i−i-1-111−i−iiiii−i−i−ii1-11-1-11-1-111ii−i−i−i−iiiii−i−i-1-111−i−iii1-1−ii1-1-11i−i1-1
χ291-11-11-1-1111111-1-1-1-11-1-1-11-111−ii−ii1-111-1-1-11-1−i−iii11-1-111-1-1−i−iiiii−i−iii−i−i−ii−ii1-1−ii11-1-1−i−iii−i−iii−ii1-1-11-1111-1-1−i−iiiii−i−iii−i−i-1-111ii−i−i1-1−ii-11-11i−i-11
χ301-11-11-1-1111111-1-1-1-11-1-1-11-111−ii−ii1-111-1-1-11-1−i−iii11-1-111-1-1−i−iii−i−iii−i−iii−ii−ii1-1−ii11-1-1−i−iii−i−iii−ii1-11-11-111-1-1−i−iii−i−iii−i−iii11-1-1−i−iii1-1−ii1-11-1−ii1-1
χ311-11-11-1-1111111-1-1-1-11-1-1-11-111−ii−ii1-111-1-1-11-1−i−iii11-1-1-1-111ii−i−iii−i−iii−i−i−ii−ii1-1−ii11-1-1−i−iii−i−iiii−i-11-11-11-1-111ii−i−iii−i−iii−i−i11-1-1−i−iii-11i−i-11-11−ii1-1
χ321-11-11-1-1111111-1-1-1-11-1-1-11-111−ii−ii1-111-1-1-11-1−i−iii11-1-1-1-111ii−i−i−i−iii−i−iii−ii−ii1-1−ii11-1-1−i−iii−i−iiii−i-111-11-1-1-111ii−i−i−i−iii−i−iii-1-111ii−i−i-11i−i1-11-1i−i-11
χ33222222222-122-12-1-12-122-1-1-12-1222222-1-1-1-1-1-1-1-1-1-1-1222222222222000000002222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-10000000000000000-1-1-1-100000000
χ34222222222-122-12-1-12-122-1-1-12-1222222-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-2000000002222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000111111110000000000000000111100000000
χ35222222222-122-12-1-12-122-1-1-12-122-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2222222220000000022-2-211111111-1-1-1-11111-2-2-2-20000-1-1-1-1-1-1-1-10000000000000000111100000000
χ36222222222-122-12-1-12-122-1-1-12-122-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-20000000022-2-211111111-1-1-1-1111122220000111111110000000000000000-1-1-1-100000000
χ37222222222-122-12-1-12-122-1-1-12-1-2-222-2-2-1-1-1-1-1-1-11111-2-2-2-22222-2-2-2-200000000-2-22211-1-111111111-1-1-1-122-2-20000-1-1-1-11111000000000000000011-1-100000000
χ38222222222-122-12-1-12-122-1-1-12-1-2-222-2-2-1-1-1-1-1-1-11111-2-2-2-2-2-2-2-2222200000000-2-22211-1-111111111-1-1-1-1-2-22200001111-1-1-1-10000000000000000-1-11100000000
χ39222222222-122-12-1-12-122-1-1-12-1-2-2-2-222-1-1-1-1-1-1-1111122222222-2-2-2-200000000-2-2-2-2-1-111-1-1-1-111111111-2-2220000-1-1-1-111110000000000000000-1-11100000000
χ40222222222-122-12-1-12-122-1-1-12-1-2-2-2-222-1-1-1-1-1-1-111112222-2-2-2-2222200000000-2-2-2-2-1-111-1-1-1-11111111122-2-200001111-1-1-1-1000000000000000011-1-100000000
χ4122222222-12-1-12-122-12-1-1222-1-1222222-1-1-1-1-1-1-12222-1-1-1-10000000022222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-1000000000000-1-1-1-10000
χ4222222222-12-1-12-122-12-1-1222-1-1222222-1-1-1-1-1-1-12222-1-1-1-100000000-2-2-2-2-2-2-2-2-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2000000001111111100000000000011110000
χ4322222222-12-1-12-122-12-1-1222-1-122-2-2-2-2-1-1-1-1-1-1-122221111000000002222-2-2-2-2-1-111-2-2-2-21111-1-1-1-11111000022-2-200000000-1-1-1-11111000000000000-1-1110000
χ4422222222-12-1-12-122-12-1-1222-1-122-2-2-2-2-1-1-1-1-1-1-12222111100000000-2-2-2-22222-1-111-2-2-2-21111-1-1-1-111110000-2-222000000001111-1-1-1-100000000000011-1-10000
χ4522222222-12-1-12-122-12-1-1222-1-1-2-222-2-2-1-1-1-1-1-1-1-2-2-2-21111000000002222-2-2-2-211-1-1-2-22211111111-1-1-1-10000-2-22200000000-1-1-1-1111100000000000011-1-10000
χ4622222222-12-1-12-122-12-1-1222-1-1-2-222-2-2-1-1-1-1-1-1-1-2-2-2-2111100000000-2-2-2-2222211-1-1-2-22211111111-1-1-1-1000022-2-2000000001111-1-1-1-1000000000000-1-1110000
χ4722222222-12-1-12-122-12-1-1222-1-1-2-2-2-222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-10000000022222222111122-2-2-1-1-1-1111111110000-2-2-2-200000000-1-1-1-1-1-1-1-100000000000011110000
χ4822222222-12-1-12-122-12-1-1222-1-1-2-2-2-222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-100000000-2-2-2-2-2-2-2-2111122-2-2-1-1-1-111111111000022220000000011111111000000000000-1-1-1-10000
χ49222-2-22-2-2222-2-2222-222-2-2-2-2-220000002-222-2-2-2000000002-22-2000000002-22-200000000000000000000000000002-22-2000000002-22-200002-22-2000000000000
χ50222-2-22-2-2222-2-2222-222-2-2-2-2-220000002-222-2-2-2000000002-22-200000000-22-2200000000000000000000000000002-22-200000000-22-220000-22-22000000000000
χ51222-2-22-2-2222-2-2222-222-2-2-2-2-220000002-222-2-2-200000000-22-22000000002-22-20000000000000000000000000000-22-22000000002-22-20000-22-22000000000000
χ52222-2-22-2-2222-2-2222-222-2-2-2-2-220000002-222-2-2-200000000-22-2200000000-22-220000000000000000000000000000-22-2200000000-22-2200002-22-2000000000000
χ5322-222-2-2-222-22222-2-2-2-222-2-2-22000000-222-22-2-20000000000002-22-22-22-20000000000000000000000000000000000002-22-22-22-200002-22-20000000000000000
χ5422-222-2-2-222-22222-2-2-2-222-2-2-22000000-222-22-2-20000000000002-22-2-22-220000000000000000000000000000000000002-22-2-22-220000-22-220000000000000000
χ5522-222-2-2-222-22222-2-2-2-222-2-2-22000000-222-22-2-2000000000000-22-222-22-2000000000000000000000000000000000000-22-222-22-20000-22-220000000000000000
χ5622-222-2-2-222-22222-2-2-2-222-2-2-22000000-222-22-2-2000000000000-22-22-22-22000000000000000000000000000000000000-22-22-22-2200002-22-20000000000000000
χ572-222-2-22-2222-2-2-2-2-222-222-22-220000002-2-2-22-22000000002-2-22000000002i−2i−2i2i00000000000000000000000000002-2-22000000002i−2i−2i2i00002i−2i−2i2i000000000000
χ582-222-2-22-2222-2-2-2-2-222-222-22-220000002-2-2-22-22000000002-2-2200000000−2i2i2i−2i00000000000000000000000000002-2-2200000000−2i2i2i−2i0000−2i2i2i−2i000000000000
χ592-222-2-22-2222-2-2-2-2-222-222-22-220000002-2-2-22-2200000000-222-2000000002i−2i−2i2i0000000000000000000000000000-222-2000000002i−2i−2i2i0000−2i2i2i−2i000000000000
χ602-222-2-22-2222-2-2-2-2-222-222-22-220000002-2-2-22-2200000000-222-200000000−2i2i2i−2i0000000000000000000000000000-222-200000000−2i2i2i−2i00002i−2i−2i2i000000000000
χ612-22-22-2-222-122-1-211-2-1-2-21-112-12i−2i2i−2i2-2-1-1111-11−i−iii22-2-222-2-22i2i−2i−2i000000002i−2i2i−2i-11−ii-1-111−i−iii−i−iii2i−2i2-20000-1-111−i−iii0000000000000000-11−ii00000000
χ622-22-22-2-222-122-1-211-2-1-2-21-112-12i−2i2i−2i2-2-1-1111-11−i−iii22-2-2-2-222−2i−2i2i2i000000002i−2i2i−2i-11−ii-1-111−i−iii−i−iii−2i2i-22000011-1-1ii−i−i00000000000000001-1i−i00000000
χ632-22-22-2-222-122-1-211-2-1-2-21-112-12i−2i−2i2i-22-1-1111-11−i−iii-2-22222-2-22i2i−2i−2i000000002i−2i−2i2i1-1i−i11-1-1−i−iiiii−i−i−2i2i-220000-1-111−i−iii00000000000000001-1i−i00000000
χ642-22-22-2-222-122-1-211-2-1-2-21-112-12i−2i−2i2i-22-1-1111-11−i−iii-2-222-2-222−2i−2i2i2i000000002i−2i−2i2i1-1i−i11-1-1−i−iiiii−i−i2i−2i2-2000011-1-1ii−i−i0000000000000000-11−ii00000000
χ652-22-22-2-222-122-1-211-2-1-2-21-112-1−2i2i2i−2i-22-1-1111-11ii−i−i-2-22222-2-2−2i−2i2i2i00000000−2i2i2i−2i1-1−ii11-1-1ii−i−i−i−iii2i−2i-220000-1-111ii−i−i00000000000000001-1−ii00000000
χ662-22-22-2-222-122-1-211-2-1-2-21-112-1−2i2i2i−2i-22-1-1111-11ii−i−i-2-222-2-2222i2i−2i−2i00000000−2i2i2i−2i1-1−ii11-1-1ii−i−i−i−iii−2i2i2-2000011-1-1−i−iii0000000000000000-11i−i00000000
χ672-22-22-2-222-122-1-211-2-1-2-21-112-1−2i2i−2i2i2-2-1-1111-11ii−i−i22-2-222-2-2−2i−2i2i2i00000000−2i2i−2i2i-11i−i-1-111ii−i−iii−i−i−2i2i2-20000-1-111ii−i−i0000000000000000-11i−i00000000
χ682-22-22-2-222-122-1-211-2-1-2-21-112-1−2i2i−2i2i2-2-1-1111-11ii−i−i22-2-2-2-2222i2i−2i−2i00000000−2i2i−2i2i-11i−i-1-111ii−i−iii−i−i2i−2i-22000011-1-1−i−iii00000000000000001-1−ii00000000
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χ1064-44-44-4-44-2-2-2-2-22222-2222-22-214i−4i4i−4i4-411-1-1-11-1−2i−2i2i2i-2-2220000000000000000−2i2i−2i2i-22−2i2i11-1-1ii−i−iii−i−i00000000000000000000000000000000000000000000
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χ1258-888-8-88-8-4-4-444444-4-44-4-44-4420000002-2-2-22-220000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1268-8-8-8888-8-4-44-4-444-4-44-4444-442000000-22-22-2-220000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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