Finite Group Databasebeta

← Group #11801831

Character table — Group #11801831

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size1111111122222222222222222222444444444444444444446666666666666666888888888888888888889999999912121212121212121212121212121212121212121212121218181818242424242424242436363636
order122222223344446666666666666634444666666612121212121212122222444444444444121212121212121212121212121212121212121244444444444444446666121212121212121212121212444412121212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111-1-1-1-11111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ611111111111111111111111111111-1-1-1-11111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1111111
χ711111111111111111111111111111-1-1-1-1111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11111
χ811111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ91111111111-1-1-1-111111111111111111-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ101111111111-1-1-1-111111111111111111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-111
χ111111111111-1-1-1-111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111111111-1-1-1-11111-1-11111-1-1-1-111
χ121111111111-1-1-1-111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1
χ131111111111-1-1-1-1111111111111111-1-1111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ141111111111-1-1-1-1111111111111111-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-111-1-1
χ151111111111-1-1-1-1111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1111111-1-1-1-11111-1-1
χ161111111111-1-1-1-1111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111
χ171-1-1111-1-111ii−i−i1-1-11-1-1-11-1111-1-111-1i−i11-1-11-1-1ii−i−iii−i−i11-1-111-1-1ii−i−iii−i−i1-1i−i1-1i−iii−i−i11-1-1ii−i−i1111-1-1-1-11-11-1i−ii−i11-1-111-1-1ii−i−iii−i−iii−i−i1-11-1i−ii−i1-1i−i
χ181-1-1111-1-111ii−i−i1-1-11-1-1-11-1111-1-111-1i−i11-1-11-1-1ii−i−iii−i−i11-1-1-1-111ii−i−i−i−iii1-1i−i1-1i−iii−i−i11-1-1ii−i−i-1-1-1-11111-111-1i−i−ii11-1-1-1-111ii−i−i−i−iii−i−iii1-1-11i−i−ii-11−ii
χ191-1-1111-1-111ii−i−i1-1-11-1-1-11-1111-1-111-1i−i11-1-11-1-1ii−i−iii−i−i-1-11111-1-1−i−iiiii−i−i1-1i−i1-1i−iii−i−i11-1-1ii−i−i-1-1-1-111111-1-11−iii−i-1-11111-1-1−i−iiiii−i−i−i−iii-111-1−iii−i-11−ii
χ201-1-1111-1-111ii−i−i1-1-11-1-1-11-1111-1-111-1i−i11-1-11-1-1ii−i−iii−i−i-1-111-1-111−i−iii−i−iii1-1i−i1-1i−iii−i−i11-1-1ii−i−i1111-1-1-1-1-11-11−ii−ii-1-111-1-111−i−iii−i−iiiii−i−i-11-11−ii−ii1-1i−i
χ211-1-1111-1-111ii−i−i1-1-11-1-1-11-1111-1-11-11−ii11-1-11-1-1ii−i−iii−i−i11-1-111-1-1ii−i−iii−i−i-11−ii-11−iiii−i−i-1-111−i−iii1111-1-1-1-1-11-11−ii−ii11-1-111-1-1ii−i−iii−i−iii−i−i-11-11−ii−ii-11−ii
χ221-1-1111-1-111ii−i−i1-1-11-1-1-11-1111-1-11-11−ii11-1-11-1-1ii−i−iii−i−i11-1-1-1-111ii−i−i−i−iii-11−ii-11−iiii−i−i-1-111−i−iii-1-1-1-111111-1-11−iii−i11-1-1-1-111ii−i−i−i−iii−i−iii-111-1−iii−i1-1i−i
χ231-1-1111-1-111ii−i−i1-1-11-1-1-11-1111-1-11-11−ii11-1-11-1-1ii−i−iii−i−i-1-11111-1-1−i−iiiii−i−i-11−ii-11−iiii−i−i-1-111−i−iii-1-1-1-11111-111-1i−i−ii-1-11111-1-1−i−iiiii−i−i−i−iii1-1-11i−i−ii1-1i−i
χ241-1-1111-1-111ii−i−i1-1-11-1-1-11-1111-1-11-11−ii11-1-11-1-1ii−i−iii−i−i-1-111-1-111−i−iii−i−iii-11−ii-11−iiii−i−i-1-111−i−iii1111-1-1-1-11-11-1i−ii−i-1-111-1-111−i−iii−i−iiiii−i−i1-11-1i−ii−i-11−ii
χ251-1-1111-1-111−i−iii1-1-11-1-1-11-1111-1-111-1−ii11-1-11-1-1−i−iii−i−iii11-1-111-1-1−i−iii−i−iii1-1−ii1-1−ii−i−iii11-1-1−i−iii1111-1-1-1-11-11-1−ii−ii11-1-111-1-1−i−iii−i−iii−i−iii1-11-1−ii−ii1-1−ii
χ261-1-1111-1-111−i−iii1-1-11-1-1-11-1111-1-111-1−ii11-1-11-1-1−i−iii−i−iii11-1-1-1-111−i−iiiii−i−i1-1−ii1-1−ii−i−iii11-1-1−i−iii-1-1-1-11111-111-1−iii−i11-1-1-1-111−i−iiiii−i−iii−i−i1-1-11−iii−i-11i−i
χ271-1-1111-1-111−i−iii1-1-11-1-1-11-1111-1-111-1−ii11-1-11-1-1−i−iii−i−iii-1-11111-1-1ii−i−i−i−iii1-1−ii1-1−ii−i−iii11-1-1−i−iii-1-1-1-111111-1-11i−i−ii-1-11111-1-1ii−i−i−i−iiiii−i−i-111-1i−i−ii-11i−i
χ281-1-1111-1-111−i−iii1-1-11-1-1-11-1111-1-111-1−ii11-1-11-1-1−i−iii−i−iii-1-111-1-111ii−i−iii−i−i1-1−ii1-1−ii−i−iii11-1-1−i−iii1111-1-1-1-1-11-11i−ii−i-1-111-1-111ii−i−iii−i−i−i−iii-11-11i−ii−i1-1−ii
χ291-1-1111-1-111−i−iii1-1-11-1-1-11-1111-1-11-11i−i11-1-11-1-1−i−iii−i−iii11-1-111-1-1−i−iii−i−iii-11i−i-11i−i−i−iii-1-111ii−i−i1111-1-1-1-1-11-11i−ii−i11-1-111-1-1−i−iii−i−iii−i−iii-11-11i−ii−i-11i−i
χ301-1-1111-1-111−i−iii1-1-11-1-1-11-1111-1-11-11i−i11-1-11-1-1−i−iii−i−iii11-1-1-1-111−i−iiiii−i−i-11i−i-11i−i−i−iii-1-111ii−i−i-1-1-1-111111-1-11i−i−ii11-1-1-1-111−i−iiiii−i−iii−i−i-111-1i−i−ii1-1−ii
χ311-1-1111-1-111−i−iii1-1-11-1-1-11-1111-1-11-11i−i11-1-11-1-1−i−iii−i−iii-1-11111-1-1ii−i−i−i−iii-11i−i-11i−i−i−iii-1-111ii−i−i-1-1-1-11111-111-1−iii−i-1-11111-1-1ii−i−i−i−iiiii−i−i1-1-11−iii−i1-1−ii
χ321-1-1111-1-111−i−iii1-1-11-1-1-11-1111-1-11-11i−i11-1-11-1-1−i−iii−i−iii-1-111-1-111ii−i−iii−i−i-11i−i-11i−i−i−iii-1-111ii−i−i1111-1-1-1-11-11-1−ii−ii-1-111-1-111ii−i−iii−i−i−i−iii1-11-1−ii−ii-11i−i
χ33222222222-12222222-1-1-12-1-12-122-1-12222-1-1-1-1-1-1-12222-1-1-1-12222000022220000-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000222200-1-1-1-10000-1-1-1-100000000-1-100-1-1000000
χ34222222222-12222222-1-1-12-1-12-122-1-12222-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-20000-2-2-2-20000-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000-2-2-2-20011110000111100000000110011000000
χ35222222222-12222222-1-1-12-1-12-122-1-1-2-2-2-2-1-1-1-1-1-1-12222-1-1-1-122220000222200001111-2-2-2-2-1-1-1-1111111110000000000-2-2-2-200-1-1-1-10000-1-1-1-100000000110011000000
χ36222222222-12222222-1-1-12-1-12-122-1-1-2-2-2-2-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-20000-2-2-2-200001111-2-2-2-2-1-1-1-111111111000000000022220011110000111100000000-1-100-1-1000000
χ37222222222-1-2-2-2-2222-1-1-12-1-12-122-1-122-2-2-1-1-1-1-1-1-1-2-2-2-2111122220000-2-2-2-20000-1-11122-2-21111-1-1-1-11111000000000022-2-200-1-1-1-10000111100000000-1-10011000000
χ38222222222-1-2-2-2-2222-1-1-12-1-12-122-1-122-2-2-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-2000022220000-1-11122-2-21111-1-1-1-111110000000000-2-2220011110000-1-1-1-1000000001100-1-1000000
χ39222222222-1-2-2-2-2222-1-1-12-1-12-122-1-1-2-222-1-1-1-1-1-1-1-2-2-2-2111122220000-2-2-2-2000011-1-1-2-22211111111-1-1-1-10000000000-2-22200-1-1-1-100001111000000001100-1-1000000
χ40222222222-1-2-2-2-2222-1-1-12-1-12-122-1-1-2-222-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-200002222000011-1-1-2-22211111111-1-1-1-1000000000022-2-20011110000-1-1-1-100000000-1-10011000000
χ4122222222-122222-1-1-1222-122-12-1-12-12222-1-1-1-1-1-1-1-1-1-1-1222200002222000022222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000220000220000-1-1-1-10000-1-1-1-1000000-1-100-1-10000
χ4222222222-122222-1-1-1222-122-12-1-12-12222-1-1-1-1-1-1-1-1-1-1-122220000-2-2-2-20000-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-2-20000-2-200001111000011110000001100110000
χ4322222222-122222-1-1-1222-122-12-1-12-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-122220000222200002222-2-2-2-21111-1-1-1-11111111100000000-2-20000-2-20000-1-1-1-10000-1-1-1-10000001100110000
χ4422222222-122222-1-1-1222-122-12-1-12-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-122220000-2-2-2-20000-2-2-2-2-2-2-2-21111-1-1-1-11111111100000000220000220000111100001111000000-1-100-1-10000
χ4522222222-12-2-2-2-2-1-1-1222-122-12-1-12-122-2-2-1-1-1-1-1-1-11111-2-2-2-2000022220000-2-2-2-222-2-2-1-1111111-1-1-1-1111100000000220000-2-20000-1-1-1-100001111000000-1-100110000
χ4622222222-12-2-2-2-2-1-1-1222-122-12-1-12-122-2-2-1-1-1-1-1-1-11111-2-2-2-20000-2-2-2-20000222222-2-2-1-1111111-1-1-1-1111100000000-2-2000022000011110000-1-1-1-10000001100-1-10000
χ4722222222-12-2-2-2-2-1-1-1222-122-12-1-12-1-2-222-1-1-1-1-1-1-11111-2-2-2-2000022220000-2-2-2-2-2-22211-1-111111111-1-1-1-100000000-2-20000220000-1-1-1-1000011110000001100-1-10000
χ4822222222-12-2-2-2-2-1-1-1222-122-12-1-12-1-2-222-1-1-1-1-1-1-11111-2-2-2-20000-2-2-2-200002222-2-22211-1-111111111-1-1-1-100000000220000-2-2000011110000-1-1-1-1000000-1-100110000
χ49222-22-2-2-2220000-222222-2-2-22-2-2-2-2200002-222-2-2-2000000002-22-22-22-2000000000000000000000000000022-2-222-2-2000000002-22-22-22-2000000000000000000000000
χ50222-22-2-2-2220000-222222-2-2-22-2-2-2-2200002-222-2-2-2000000002-22-2-22-220000000000000000000000000000-2-222-2-222000000002-22-2-22-22000000000000000000000000
χ51222-22-2-2-2220000-222222-2-2-22-2-2-2-2200002-222-2-2-200000000-22-222-22-20000000000000000000000000000-2-222-2-22200000000-22-222-22-2000000000000000000000000
χ52222-22-2-2-2220000-222222-2-2-22-2-2-2-2200002-222-2-2-200000000-22-22-22-22000000000000000000000000000022-2-222-2-200000000-22-22-22-22000000000000000000000000
χ5322-22-2-22-2220000-22-2-22-222-2-2-22-2220000-2-22-222-200000000000000002-22-22i−2i2i−2i000000000000000000002i−2i2i−2i2i−2i2i−2i00000000000000002-22-22i−2i2i−2i0000000000000000
χ5422-22-2-22-2220000-22-2-22-222-2-2-22-2220000-2-22-222-200000000000000002-22-2−2i2i−2i2i00000000000000000000−2i2i−2i2i−2i2i−2i2i00000000000000002-22-2−2i2i−2i2i0000000000000000
χ5522-22-2-22-2220000-22-2-22-222-2-2-22-2220000-2-22-222-20000000000000000-22-222i−2i2i−2i00000000000000000000−2i2i−2i2i−2i2i−2i2i0000000000000000-22-222i−2i2i−2i0000000000000000
χ5622-22-2-22-2220000-22-2-22-222-2-2-22-2220000-2-22-222-20000000000000000-22-22−2i2i−2i2i000000000000000000002i−2i2i−2i2i−2i2i−2i0000000000000000-22-22−2i2i−2i2i0000000000000000
χ5722-2-2-22-22222i−2i2i−2i22-2-22-2-2-22-22-22-220000-222-2-2-222i−2i2i−2i2i−2i2i−2i0000000000000000000000002i−2i2i−2i000000002i−2i−2i2i2i−2i−2i2i0000000000000000000000002-22-2000000000000
χ5822-2-2-22-22222i−2i2i−2i22-2-22-2-2-22-22-22-220000-222-2-2-222i−2i2i−2i2i−2i2i−2i0000000000000000000000002i−2i2i−2i00000000−2i2i2i−2i−2i2i2i−2i000000000000000000000000-22-22000000000000
χ5922-2-2-22-2222−2i2i−2i2i22-2-22-2-2-22-22-22-220000-222-2-2-22−2i2i−2i2i−2i2i−2i2i000000000000000000000000−2i2i−2i2i000000002i−2i−2i2i2i−2i−2i2i000000000000000000000000-22-22000000000000
χ6022-2-2-22-2222−2i2i−2i2i22-2-22-2-2-22-22-22-220000-222-2-2-22−2i2i−2i2i−2i2i−2i2i000000000000000000000000−2i2i−2i2i00000000−2i2i2i−2i−2i2i2i−2i0000000000000000000000002-22-2000000000000
χ612-222-2-2-22220000-2-22-2-22-222-2-222-220000-2-2-222-2200000000000000002i−2i−2i2i2-2-2200000000000000000000−2i2i−2i2i2i−2i2i−2i00000000000000002i−2i−2i2i2-2-220000000000000000
χ622-222-2-2-22220000-2-22-2-22-222-2-222-220000-2-2-222-2200000000000000002i−2i−2i2i-222-2000000000000000000002i−2i2i−2i−2i2i−2i2i00000000000000002i−2i−2i2i-222-20000000000000000
χ632-222-2-2-22220000-2-22-2-22-222-2-222-220000-2-2-222-220000000000000000−2i2i2i−2i2-2-22000000000000000000002i−2i2i−2i−2i2i−2i2i0000000000000000−2i2i2i−2i2-2-220000000000000000
χ642-222-2-2-22220000-2-22-2-22-222-2-222-220000-2-2-222-220000000000000000−2i2i2i−2i-222-200000000000000000000−2i2i−2i2i2i−2i2i−2i0000000000000000−2i2i2i−2i-222-20000000000000000
χ652-22-2-222-2222-2-222-22-2-222-2-2-22-2-2220000-22-22-22-22-2-222-2-220000000000000000000000002-2-22000000002i−2i−2i2i−2i2i2i−2i000000000000000000000000−2i2i2i−2i000000000000
χ662-22-2-222-2222-2-222-22-2-222-2-2-22-2-2220000-22-22-22-22-2-222-2-220000000000000000000000002-2-2200000000−2i2i2i−2i2i−2i−2i2i0000000000000000000000002i−2i−2i2i000000000000
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χ872-2-2-22-222220000-2-2-22-2-22-222-2-222200002-2-2-2-22200000000-222-22-2-220000000000000000000000000000-2-22222-2-200000000-222-22-2-22000000000000000000000000
χ882-2-2-22-222220000-2-2-22-2-22-222-2-222200002-2-2-2-22200000000-222-2-222-2000000000000000000000000000022-2-2-2-22200000000-222-2-222-2000000000000000000000000
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χ1214-4-4444-4-4-2-24i4i−4i−4i-222-2222-22-2-2-22214-44i−4i11-1-11-1-1−2i−2i2i2i−2i−2i2i2i0000000000000000-22−2i2i-22−2i2iii−i−i11-1-1ii−i−i000000000000000000000000000000000000000000000000
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χ1318-888-8-8-88-4-4000044-444-44-4-444-4-4420000-2-2-222-2200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1328-8-8-88-888-4-40000444-444-44-4-444-4-4200002-2-2-2-22200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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