Finite Group Databasebeta

← Group #11805713

Character table — Group #11805713

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size11111111222222222222222244444444444444444444446666666666666666888888888888888888881212121212121212121212121212121212121212121212121818181818181818242424242424242436363636
order1222222233666666666666663444444666666612121212121212124444444444444444121212121212121212121212121212121212121244444444121212121212121212121212121212122222444412121212121212122244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1
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
χ5111111111111111111111111111-1-1-1-111111111111-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1
χ6111111111111111111111111111-1-1-1-111111111111-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111
χ7111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1111111-1-111
χ8111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-111-1-1
χ91111111111111111111111111-1-111-1-11111111-1-1-1-111111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-111
χ101111111111111111111111111-1-111-1-11111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1
χ111111111111111111111111111-1-111-1-11111111-1-1-1-11111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-111-1-111-1-1
χ121111111111111111111111111-1-111-1-11111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-111
χ131111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-1-1-1
χ141111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ151111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ161111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-111111111-1-1-1-111111111-1-111-1-111-1-1-1-1
χ171-111-11-1-1111-1-1-111-111-1-1-1-1111-1i−ii−i11-1-11-1-111-1-1ii−i−i11-1-111-1-111-1-1ii−i−i1-1i−iii−i−i11-1-1ii−i−iii−i−ii−i1-1i−ii−i11-1-111-1-1ii−i−i11-1-111-1-1ii−i−ii−ii−ii−i1-11-1i−i
χ181-111-11-1-1111-1-1-111-111-1-1-1-1111-1i−ii−i11-1-11-1-111-1-1ii−i−i11-1-111-1-1-1-111−i−iii1-1i−iii−i−i11-1-1ii−i−iii−i−ii−i-11−iii−i11-1-111-1-1−i−iii-1-111-1-111−i−iii−iii−ii−i-11-11−ii
χ191-111-11-1-1111-1-1-111-111-1-1-1-1111-1i−ii−i11-1-11-1-111-1-1ii−i−i-1-111-1-11111-1-1ii−i−i1-1i−iii−i−i11-1-1ii−i−iii−i−i−ii1-1i−i−ii-1-111-1-111ii−i−i11-1-1-1-111−i−iiii−i−ii−ii1-1-11−ii
χ201-111-11-1-1111-1-1-111-111-1-1-1-1111-1i−ii−i11-1-11-1-111-1-1ii−i−i-1-111-1-111-1-111−i−iii1-1i−iii−i−i11-1-1ii−i−iii−i−i−ii-11−ii−ii-1-111-1-111−i−iii-1-11111-1-1ii−i−i−ii−ii−ii-111-1i−i
χ211-111-11-1-1111-1-1-111-111-1-1-1-1111-1−ii−ii11-1-11-1-111-1-1−i−iii11-1-111-1-111-1-1−i−iii1-1−ii−i−iii11-1-1−i−iii−i−iii−ii1-1−ii−ii11-1-111-1-1−i−iii11-1-111-1-1−i−iii−ii−ii−ii1-11-1−ii
χ221-111-11-1-1111-1-1-111-111-1-1-1-1111-1−ii−ii11-1-11-1-111-1-1−i−iii11-1-111-1-1-1-111ii−i−i1-1−ii−i−iii11-1-1−i−iii−i−iii−ii-11i−i−ii11-1-111-1-1ii−i−i-1-111-1-111ii−i−ii−i−ii−ii-11-11i−i
χ231-111-11-1-1111-1-1-111-111-1-1-1-1111-1−ii−ii11-1-11-1-111-1-1−i−iii-1-111-1-11111-1-1−i−iii1-1−ii−i−iii11-1-1−i−iii−i−iiii−i1-1−iii−i-1-111-1-111−i−iii11-1-1-1-111ii−i−i−iii−ii−i1-1-11i−i
χ241-111-11-1-1111-1-1-111-111-1-1-1-1111-1−ii−ii11-1-11-1-111-1-1−i−iii-1-111-1-111-1-111ii−i−i1-1−ii−i−iii11-1-1−i−iii−i−iiii−i-11i−ii−i-1-111-1-111ii−i−i-1-11111-1-1−i−iiii−ii−ii−i-111-1−ii
χ251-111-11-1-1111-1-1-111-111-1-1-1-111-11i−i−ii11-1-11-1-1-1-111ii−i−i11-1-1-1-11111-1-1ii−i−i-11i−i−i−iii-1-111ii−i−i−i−iii−ii-11−iii−i11-1-1-1-111ii−i−i11-1-111-1-1−i−iii−iii−i−ii-11-11i−i
χ261-111-11-1-1111-1-1-111-111-1-1-1-111-11i−i−ii11-1-11-1-1-1-111ii−i−i11-1-1-1-111-1-111−i−iii-11i−i−i−iii-1-111ii−i−i−i−iii−ii1-1i−ii−i11-1-1-1-111−i−iii-1-111-1-111ii−i−ii−ii−i−ii1-11-1−ii
χ271-111-11-1-1111-1-1-111-111-1-1-1-111-11i−i−ii11-1-11-1-1-1-111ii−i−i-1-11111-1-111-1-1ii−i−i-11i−i−i−iii-1-111ii−i−i−i−iiii−i-11−ii−ii-1-11111-1-1ii−i−i11-1-1-1-111ii−i−i−ii−iii−i-111-1−ii
χ281-111-11-1-1111-1-1-111-111-1-1-1-111-11i−i−ii11-1-11-1-1-1-111ii−i−i-1-11111-1-1-1-111−i−iii-11i−i−i−iii-1-111ii−i−i−i−iiii−i1-1i−i−ii-1-11111-1-1−i−iii-1-11111-1-1−i−iiii−i−iii−i1-1-11i−i
χ291-111-11-1-1111-1-1-111-111-1-1-1-111-11−iii−i11-1-11-1-1-1-111−i−iii11-1-1-1-11111-1-1−i−iii-11−iiii−i−i-1-111−i−iiiii−i−ii−i-11i−i−ii11-1-1-1-111−i−iii11-1-111-1-1ii−i−ii−i−iii−i-11-11−ii
χ301-111-11-1-1111-1-1-111-111-1-1-1-111-11−iii−i11-1-11-1-1-1-111−i−iii11-1-1-1-111-1-111ii−i−i-11−iiii−i−i-1-111−i−iiiii−i−ii−i1-1−ii−ii11-1-1-1-111ii−i−i-1-111-1-111−i−iii−ii−iii−i1-11-1i−i
χ311-111-11-1-1111-1-1-111-111-1-1-1-111-11−iii−i11-1-11-1-1-1-111−i−iii-1-11111-1-111-1-1−i−iii-11−iiii−i−i-1-111−i−iiiii−i−i−ii-11i−ii−i-1-11111-1-1−i−iii11-1-1-1-111−i−iiii−ii−i−ii-111-1i−i
χ321-111-11-1-1111-1-1-111-111-1-1-1-111-11−iii−i11-1-11-1-1-1-111−i−iii-1-11111-1-1-1-111ii−i−i-11−iiii−i−i-1-111−i−iiiii−i−i−ii1-1−iii−i-1-11111-1-1ii−i−i-1-11111-1-1ii−i−i−iii−i−ii1-1-11−ii
χ33222222222-122-1-12-12-1-122-1-12-1222222-1-1-1-1-1-1-1-1-1-1-12222222222220000000022-1-12-12-1-1-1-1-1-1-1-1-1-1-1-1-122000022-1-1-1-1-1-1-1-1000000000000000000-1-1-1-1000000
χ34222222222-122-1-12-12-1-122-1-12-1222222-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-20000000022-1-12-12-1-1-1-1-1-1-1-1-1-1-1-1-1-2-20000-2-2111111110000000000000000001111000000
χ35222222222-122-1-12-12-1-122-1-12-122-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222222222000000002211-21-21-1-1-1-111111111-2-20000-2-2-1-1-1-1-1-1-1-10000000000000000001111000000
χ36222222222-122-1-12-12-1-122-1-12-122-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2000000002211-21-21-1-1-1-1111111112200002211111111000000000000000000-1-1-1-1000000
χ37222222222-122-1-12-12-1-122-1-12-1-2-222-2-2-1-1-1-1-1-1-1111122222222-2-2-2-200000000-2-2-1-1-21-211111-1-1-1-11111-2-2000022-1-1-1-11111000000000000000000-1-111000000
χ38222222222-122-1-12-12-1-122-1-12-1-2-222-2-2-1-1-1-1-1-1-111112222-2-2-2-2222200000000-2-2-1-1-21-211111-1-1-1-11111220000-2-21111-1-1-1-100000000000000000011-1-1000000
χ39222222222-122-1-12-12-1-122-1-12-1-2-2-2-222-1-1-1-1-1-1-11111-2-2-2-22222-2-2-2-200000000-2-2112-12-111111111-1-1-1-1220000-2-2-1-1-1-1111100000000000000000011-1-1000000
χ40222222222-122-1-12-12-1-122-1-12-1-2-2-2-222-1-1-1-1-1-1-11111-2-2-2-2-2-2-2-2222200000000-2-2112-12-111111111-1-1-1-1-2-20000221111-1-1-1-1000000000000000000-1-111000000
χ4122222222-12-1-122-12-122-1-122-1-1222222-1-1-1-1-1-1-12222-1-1-1-10000000022222222-1-122-12-12-1-1-1-1-1-1-1-1-1-1-1-10022220000000000-1-1-1-1-1-1-1-100000000-1-10000-1-10000
χ4222222222-12-1-122-12-122-1-122-1-1222222-1-1-1-1-1-1-12222-1-1-1-100000000-2-2-2-2-2-2-2-2-1-122-12-12-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-200000000001111111100000000110000110000
χ4322222222-12-1-122-12-122-1-122-1-122-2-2-2-2-1-1-1-1-1-1-122221111000000002222-2-2-2-2-1-1-2-21-21-2-1-1-1-1111111110022-2-200000000001111-1-1-1-100000000110000-1-10000
χ4422222222-12-1-122-12-122-1-122-1-122-2-2-2-2-1-1-1-1-1-1-12222111100000000-2-2-2-22222-1-1-2-21-21-2-1-1-1-11111111100-2-2220000000000-1-1-1-1111100000000-1-10000110000
χ4522222222-12-1-122-12-122-1-122-1-1-2-222-2-2-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1000000002222222211221-21-21111-1-1-1-1111100-2-2-2-20000000000-1-1-1-1-1-1-1-100000000110000110000
χ4622222222-12-1-122-12-122-1-122-1-1-2-222-2-2-1-1-1-1-1-1-1-2-2-2-2-1-1-1-100000000-2-2-2-2-2-2-2-211221-21-21111-1-1-1-1111100222200000000001111111100000000-1-10000-1-10000
χ4722222222-12-1-122-12-122-1-122-1-1-2-2-2-222-1-1-1-1-1-1-1-2-2-2-21111000000002222-2-2-2-211-2-2-12-1211111111-1-1-1-100-2-22200000000001111-1-1-1-100000000-1-10000110000
χ4822222222-12-1-122-12-122-1-122-1-1-2-2-2-222-1-1-1-1-1-1-1-2-2-2-2111100000000-2-2-2-2222211-2-2-12-1211111111-1-1-1-10022-2-20000000000-1-1-1-1111100000000110000-1-10000
χ49222-2-2-2-2222-222-222-2-2-2-222-2-22000000-2-22-222-2000000002i−2i2i−2i00002i−2i2i−2i000000000000000000000000000000002i−2i2i−2i000000002i−2i2i−2i2-22-20000000000000000
χ50222-2-2-2-2222-222-222-2-2-2-222-2-22000000-2-22-222-2000000002i−2i2i−2i0000−2i2i−2i2i000000000000000000000000000000002i−2i2i−2i00000000−2i2i−2i2i-22-220000000000000000
χ51222-2-2-2-2222-222-222-2-2-2-222-2-22000000-2-22-222-200000000−2i2i−2i2i00002i−2i2i−2i00000000000000000000000000000000−2i2i−2i2i000000002i−2i2i−2i-22-220000000000000000
χ52222-2-2-2-2222-222-222-2-2-2-222-2-22000000-2-22-222-200000000−2i2i−2i2i0000−2i2i−2i2i00000000000000000000000000000000−2i2i−2i2i00000000−2i2i−2i2i2-22-20000000000000000
χ5322-2-2-222-222-2222-2-2-22-22-2-2-2220000002-222-2-2-20000000000002-22-200002i−2i2i−2i000000000000000000000000000000002-22-22i−2i2i−2i000000002i−2i2i−2i000000000000
χ5422-2-2-222-222-2222-2-2-22-22-2-2-2220000002-222-2-2-20000000000002-22-20000−2i2i−2i2i000000000000000000000000000000002-22-2−2i2i−2i2i00000000−2i2i−2i2i000000000000
χ5522-2-2-222-222-2222-2-2-22-22-2-2-2220000002-222-2-2-2000000000000-22-2200002i−2i2i−2i00000000000000000000000000000000-22-222i−2i2i−2i00000000−2i2i−2i2i000000000000
χ5622-2-2-222-222-2222-2-2-22-22-2-2-2220000002-222-2-2-2000000000000-22-220000−2i2i−2i2i00000000000000000000000000000000-22-22−2i2i−2i2i000000002i−2i2i−2i000000000000
χ572-222-22-2-22-12-2112-1-2-1-1-2-2112-12-22i−2i2i−2i-1-111-111-1-1112i2i−2i−2i22-2-222-2-2000000002-2−ii2i−i−2ii-1-111−i−iii−i−iii2i−2i00002i−2i-1-111-1-111000000000000000000−ii−ii000000
χ582-222-22-2-22-12-2112-1-2-1-1-2-2112-12-22i−2i2i−2i-1-111-111-1-1112i2i−2i−2i-2-222-2-222000000002-2−ii2i−i−2ii-1-111−i−iii−i−iii−2i2i0000−2i2i11-1-111-1-1000000000000000000i−ii−i000000
χ592-222-22-2-22-12-2112-1-2-1-1-2-2112-12-2−2i2i−2i2i-1-111-111-1-111−2i−2i2i2i22-2-222-2-2000000002-2i−i−2ii2i−i-1-111ii−i−iii−i−i−2i2i0000−2i2i-1-111-1-111000000000000000000i−ii−i000000
χ602-222-22-2-22-12-2112-1-2-1-1-2-2112-12-2−2i2i−2i2i-1-111-111-1-111−2i−2i2i2i-2-222-2-222000000002-2i−i−2ii2i−i-1-111ii−i−iii−i−i2i−2i00002i−2i11-1-111-1-1000000000000000000−ii−ii000000
χ612-222-22-2-22-12-2112-1-2-1-1-2-2112-1-222i−2i−2i2i-1-111-11111-1-12i2i−2i−2i22-2-2-2-22200000000-22−ii−2ii2i−i11-1-1−i−iiiii−i−i−2i2i00002i−2i-1-11111-1-1000000000000000000−iii−i000000
χ622-222-22-2-22-12-2112-1-2-1-1-2-2112-1-222i−2i−2i2i-1-111-11111-1-12i2i−2i−2i-2-22222-2-200000000-22−ii−2ii2i−i11-1-1−i−iiiii−i−i2i−2i0000−2i2i11-1-1-1-111000000000000000000i−i−ii000000
χ632-222-22-2-22-12-2112-1-2-1-1-2-2112-1-22−2i2i2i−2i-1-111-11111-1-1−2i−2i2i2i22-2-2-2-22200000000-22i−i2i−i−2ii11-1-1ii−i−i−i−iii2i−2i0000−2i2i-1-11111-1-1000000000000000000i−i−ii000000
χ642-222-22-2-22-12-2112-1-2-1-1-2-2112-1-22−2i2i2i−2i-1-111-11111-1-1−2i−2i2i2i-2-22222-2-200000000-22i−i2i−i−2ii11-1-1ii−i−i−i−iii−2i2i00002i−2i11-1-1-1-111000000000000000000−iii−i000000
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Here i is the imaginary unit (i² = −1).