Finite Group Databasebeta

← Group #11802455

Character table — Group #11802455

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size1111111122222222222222222222444444444444444444446666666666666666888888888888888888889999999912121212121212121212121212121212121212121212121218181818242424242424242436363636
order12222222334444666666666666663444466666661212121212121212444444444444444412121212121212121212121212121212121212124444444422444444121212121212121212121212121212124444661212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1
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
χ611111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1111111
χ711111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11111
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
χ91111111111-1-1-1-111111111111111111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-111-1-111-1-1
χ101111111111-1-1-1-111111111111111111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ111111111111-1-1-1-111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111
χ121111111111-1-1-1-111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-1
χ131111111111-1-1-1-1111111111111111-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-111-1-111-1-111
χ141111111111-1-1-1-1111111111111111-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ151111111111-1-1-1-1111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1
χ161111111111-1-1-1-1111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-111
χ171-11-11-11-111ii−i−i1-11-11-11-1-1-11-11-11i−i1-111-1-11-1-1iiii−i−i−i−iii−i−i11-1-1ii−i−i11-1-1i−i11-1-1i−iii−i−iii−i−i11-1-1iiii−i−i−i−i1-11-1i−ii−i11-1-1ii−i−i11-1-1ii−i−i11-1-11-1i−i1-1i−ii−i1-1
χ181-11-11-11-111ii−i−i1-11-11-11-1-1-11-11-11i−i1-111-1-11-1-1iiii−i−i−i−iii−i−i11-1-1−i−iii-1-111i−i11-1-1i−iii−i−iii−i−i11-1-1−i−i−i−iiiii-111-1−iii−i-1-111ii−i−i11-1-1−i−iii-1-111-11i−i1-1−ii−ii-11
χ191-11-11-11-111ii−i−i1-11-11-11-1-1-11-11-11i−i1-111-1-11-1-1iiii−i−i−i−i−i−iii-1-111ii−i−i11-1-1i−i11-1-1i−iii−i−iii−i−i11-1-1−i−i−i−iiiii1-1-11i−i−ii11-1-1−i−iii-1-111ii−i−i-1-1111-1−ii-11i−i−ii-11
χ201-11-11-11-111ii−i−i1-11-11-11-1-1-11-11-11i−i1-111-1-11-1-1iiii−i−i−i−i−i−iii-1-111−i−iii-1-111i−i11-1-1i−iii−i−iii−i−i11-1-1iiii−i−i−i−i-11-11−ii−ii-1-111−i−iii-1-111−i−iii11-1-1-11−ii-11−iii−i1-1
χ211-11-11-11-111ii−i−i1-11-11-11-1-1-11-11-11−ii-1111-1-11-1-1iiii−i−i−i−iii−i−i11-1-1ii−i−i11-1-1−ii-1-111−iiii−i−i−i−iii-1-111iiii−i−i−i−i-11-11−ii−ii11-1-1ii−i−i11-1-1ii−i−i11-1-1-11−ii-11−ii−ii-11
χ221-11-11-11-111ii−i−i1-11-11-11-1-1-11-11-11−ii-1111-1-11-1-1iiii−i−i−i−iii−i−i11-1-1−i−iii-1-111−ii-1-111−iiii−i−i−i−iii-1-111−i−i−i−iiiii1-1-11i−i−ii-1-111ii−i−i11-1-1−i−iii-1-1111-1−ii-11i−ii−i1-1
χ231-11-11-11-111ii−i−i1-11-11-11-1-1-11-11-11−ii-1111-1-11-1-1iiii−i−i−i−i−i−iii-1-111ii−i−i11-1-1−ii-1-111−iiii−i−i−i−iii-1-111−i−i−i−iiiii-111-1−iii−i11-1-1−i−iii-1-111ii−i−i-1-111-11i−i1-1−iii−i1-1
χ241-11-11-11-111ii−i−i1-11-11-11-1-1-11-11-11−ii-1111-1-11-1-1iiii−i−i−i−i−i−iii-1-111−i−iii-1-111−ii-1-111−iiii−i−i−i−iii-1-111iiii−i−i−i−i1-11-1i−ii−i-1-111−i−iii-1-111−i−iii11-1-11-1i−i1-1i−i−ii-11
χ251-11-11-11-111−i−iii1-11-11-11-1-1-11-11-11i−i-1111-1-11-1-1−i−i−i−iiiiiii−i−i-1-111ii−i−i-1-111i−i-1-111i−i−i−iiiii−i−i-1-111−i−i−i−iiiii1-11-1−ii−ii-1-111ii−i−i-1-111ii−i−i11-1-11-1−ii1-1−iii−i-11
χ261-11-11-11-111−i−iii1-11-11-11-1-1-11-11-11i−i-1111-1-11-1-1−i−i−i−iiiiiii−i−i-1-111−i−iii11-1-1i−i-1-111i−i−i−iiiii−i−i-1-111iiii−i−i−i−i-111-1i−i−ii11-1-1ii−i−i-1-111−i−iii-1-111-11−ii1-1i−i−ii1-1
χ271-11-11-11-111−i−iii1-11-11-11-1-1-11-11-11i−i-1111-1-11-1-1−i−i−i−iiiii−i−iii11-1-1ii−i−i-1-111i−i-1-111i−i−i−iiiii−i−i-1-111iiii−i−i−i−i1-1-11−iii−i-1-111−i−iii11-1-1ii−i−i-1-1111-1i−i-11−ii−ii1-1
χ281-11-11-11-111−i−iii1-11-11-11-1-1-11-11-11i−i-1111-1-11-1-1−i−i−i−iiiii−i−iii11-1-1−i−iii11-1-1i−i-1-111i−i−i−iiiii−i−i-1-111−i−i−i−iiiii-11-11i−ii−i11-1-1−i−iii11-1-1−i−iii11-1-1-11i−i-11i−ii−i-11
χ291-11-11-11-111−i−iii1-11-11-11-1-1-11-11-11−ii1-111-1-11-1-1−i−i−i−iiiiiii−i−i-1-111ii−i−i-1-111−ii11-1-1−ii−i−iii−i−iii11-1-1−i−i−i−iiiii-11-11i−ii−i-1-111ii−i−i-1-111ii−i−i11-1-1-11i−i-11i−i−ii1-1
χ301-11-11-11-111−i−iii1-11-11-11-1-1-11-11-11−ii1-111-1-11-1-1−i−i−i−iiiiiii−i−i-1-111−i−iii11-1-1−ii11-1-1−ii−i−iii−i−iii11-1-1iiii−i−i−i−i1-1-11−iii−i11-1-1ii−i−i-1-111−i−iii-1-1111-1i−i-11−iii−i-11
χ311-11-11-11-111−i−iii1-11-11-11-1-1-11-11-11−ii1-111-1-11-1-1−i−i−i−iiiii−i−iii11-1-1ii−i−i-1-111−ii11-1-1−ii−i−iii−i−iii11-1-1iiii−i−i−i−i-111-1i−i−ii-1-111−i−iii11-1-1ii−i−i-1-111-11−ii1-1i−ii−i-11
χ321-11-11-11-111−i−iii1-11-11-11-1-1-11-11-11−ii1-111-1-11-1-1−i−i−i−iiiii−i−iii11-1-1−i−iii11-1-1−ii11-1-1−ii−i−iii−i−iii11-1-1−i−i−i−iiiii1-11-1−ii−ii11-1-1−i−iii11-1-1−i−iii11-1-11-1−ii1-1−ii−ii1-1
χ33222222222-1222222-1-122-1-1-12-122-1-12222-1-1-1-1-1-1-122-1-122-1-10000000022222222-1-12-12-122-1-1-1-1-1-1-1-1-1-1-1-10000000022002200-1-1-1-100000000-1-1-1-10000-1-10000-1-10000
χ34222222222-1222222-1-122-1-1-12-122-1-12222-1-1-1-1-1-1-122-1-122-1-100000000-2-2-2-2-2-2-2-2-1-12-12-122-1-1-1-1-1-1-1-1-1-1-1-100000000-2-200-2-20011110000000011110000110000110000
χ35222222222-1222222-1-122-1-1-12-122-1-1-2-2-2-2-1-1-1-1-1-1-122-1-122-1-1000000002222222211-21-21-2-2-1-1-1-11111111100000000-2-200-2-200-1-1-1-100000000-1-1-1-10000110000110000
χ36222222222-1222222-1-122-1-1-12-122-1-1-2-2-2-2-1-1-1-1-1-1-122-1-122-1-100000000-2-2-2-2-2-2-2-211-21-21-2-2-1-1-1-111111111000000002200220011110000000011110000-1-10000-1-10000
χ37222222222-1-2-2-2-222-1-122-1-1-12-122-1-122-2-2-1-1-1-1-1-1-1-2-211-2-211000000002222-2-2-2-2-1-1-21-21221111-1-1-1-11111000000002200-2-200111100000000-1-1-1-10000-1-10000110000
χ38222222222-1-2-2-2-222-1-122-1-1-12-122-1-122-2-2-1-1-1-1-1-1-1-2-211-2-21100000000-2-2-2-22222-1-1-21-21221111-1-1-1-1111100000000-2-2002200-1-1-1-10000000011110000110000-1-10000
χ39222222222-1-2-2-2-222-1-122-1-1-12-122-1-1-2-222-1-1-1-1-1-1-1-2-211-2-211000000002222-2-2-2-2112-12-1-2-211111111-1-1-1-100000000-2-2002200111100000000-1-1-1-10000110000-1-10000
χ40222222222-1-2-2-2-222-1-122-1-1-12-122-1-1-2-222-1-1-1-1-1-1-1-2-211-2-21100000000-2-2-2-22222112-12-1-2-211111111-1-1-1-1000000002200-2-200-1-1-1-10000000011110000-1-10000110000
χ4122222222-122222-1-122-1-1222-12-1-12-12222-1-1-1-1-1-1-1-1-122-1-122222222220000000022-12-12-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000002200220000-1-1-1-1-1-1-1-10000000000-1-1-1-1000000
χ4222222222-122222-1-122-1-1222-12-1-12-12222-1-1-1-1-1-1-1-1-122-1-122-2-2-2-2-2-2-2-20000000022-12-12-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000-2-200-2-200001111111100000000001111000000
χ4322222222-122222-1-122-1-1222-12-1-12-1-2-2-2-2-1-1-1-1-1-1-1-1-122-1-1222222222200000000-2-21-21-211-1-1-1-1111111110000000000-2-200-2-20000-1-1-1-1-1-1-1-100000000001111000000
χ4422222222-122222-1-122-1-1222-12-1-12-1-2-2-2-2-1-1-1-1-1-1-1-1-122-1-122-2-2-2-2-2-2-2-200000000-2-21-21-211-1-1-1-11111111100000000002200220000111111110000000000-1-1-1-1000000
χ4522222222-12-2-2-2-2-1-122-1-1222-12-1-12-122-2-2-1-1-1-1-1-1-111-2-211-2-22222-2-2-2-200000000221-21-2-1-11111-1-1-1-1111100000000002200-2-20000-1-1-1-11111000000000011-1-1000000
χ4622222222-12-2-2-2-2-1-122-1-1222-12-1-12-122-2-2-1-1-1-1-1-1-111-2-211-2-2-2-2-2-2222200000000221-21-2-1-11111-1-1-1-111110000000000-2-2002200001111-1-1-1-10000000000-1-111000000
χ4722222222-12-2-2-2-2-1-122-1-1222-12-1-12-1-2-222-1-1-1-1-1-1-111-2-211-2-22222-2-2-2-200000000-2-2-12-121111111111-1-1-1-10000000000-2-200220000-1-1-1-111110000000000-1-111000000
χ4822222222-12-2-2-2-2-1-122-1-1222-12-1-12-1-2-222-1-1-1-1-1-1-111-2-211-2-2-2-2-2-2222200000000-2-2-12-121111111111-1-1-1-100000000002200-2-200001111-1-1-1-1000000000011-1-1000000
χ49222-2-22-2-2220000-2-22-2-22-222-2-222-2200002-2-2-2-222000000002-22-2000000002i−2i2i−2i000000000000000000002i2i−2i−2i2i2i−2i−2i000000002i−2i2i−2i2-22-2000000000000000000000000
χ50222-2-22-2-2220000-2-22-2-22-222-2-222-2200002-2-2-2-222000000002-22-200000000−2i2i−2i2i00000000000000000000−2i−2i2i2i−2i−2i2i2i00000000−2i2i−2i2i2-22-2000000000000000000000000
χ51222-2-22-2-2220000-2-22-2-22-222-2-222-2200002-2-2-2-22200000000-22-22000000002i−2i2i−2i00000000000000000000−2i−2i2i2i−2i−2i2i2i000000002i−2i2i−2i-22-22000000000000000000000000
χ52222-2-22-2-2220000-2-22-2-22-222-2-222-2200002-2-2-2-22200000000-22-2200000000−2i2i−2i2i000000000000000000002i2i−2i−2i2i2i−2i−2i00000000−2i2i−2i2i-22-22000000000000000000000000
χ5322-222-2-2-2220000-22-2-22-222-2-2-22-2220000-2-22-222-20000000000002i−2i2i−2i2-22-20000000000000000000000002i−2i2i−2i2i−2i2i−2i00000000000000002i−2i2i−2i2-22-20000000000000000
χ5422-222-2-2-2220000-22-2-22-222-2-2-22-2220000-2-22-222-20000000000002i−2i2i−2i-22-22000000000000000000000000−2i2i−2i2i−2i2i−2i2i00000000000000002i−2i2i−2i-22-220000000000000000
χ5522-222-2-2-2220000-22-2-22-222-2-2-22-2220000-2-22-222-2000000000000−2i2i−2i2i2-22-2000000000000000000000000−2i2i−2i2i−2i2i−2i2i0000000000000000−2i2i−2i2i2-22-20000000000000000
χ5622-222-2-2-2220000-22-2-22-222-2-2-22-2220000-2-22-222-2000000000000−2i2i−2i2i-22-220000000000000000000000002i−2i2i−2i2i−2i2i−2i0000000000000000−2i2i−2i2i-22-220000000000000000
χ5722-2-2-2-222222i−2i2i−2i2-2-22-2-2-22-2222-2-220000-22-22-22-22i−2i2i−2i2i−2i2i−2i0000000000000000000000002i−2i2i−2i000000002-2-222-2-220000000000000000000000002i−2i2i−2i000000000000
χ5822-2-2-2-222222i−2i2i−2i2-2-22-2-2-22-2222-2-220000-22-22-22-22i−2i2i−2i2i−2i2i−2i0000000000000000000000002i−2i2i−2i00000000-222-2-222-2000000000000000000000000−2i2i−2i2i000000000000
χ5922-2-2-2-22222−2i2i−2i2i2-2-22-2-2-22-2222-2-220000-22-22-22-2−2i2i−2i2i−2i2i−2i2i000000000000000000000000−2i2i−2i2i000000002-2-222-2-22000000000000000000000000−2i2i−2i2i000000000000
χ6022-2-2-2-22222−2i2i−2i2i2-2-22-2-2-22-2222-2-220000-22-22-22-2−2i2i−2i2i−2i2i−2i2i000000000000000000000000−2i2i−2i2i00000000-222-2-222-20000000000000000000000002i−2i2i−2i000000000000
χ612-222-2-2-22220000-2222-2-2-2-2-22-2-222200002-222-2-2-2000000002i−2i−2i2i000000002i−2i−2i2i00000000000000000000-2-22222-2-2000000002i−2i−2i2i2i−2i−2i2i000000000000000000000000
χ622-222-2-2-22220000-2222-2-2-2-2-22-2-222200002-222-2-2-2000000002i−2i−2i2i00000000−2i2i2i−2i0000000000000000000022-2-2-2-22200000000−2i2i2i−2i2i−2i−2i2i000000000000000000000000
χ632-222-2-2-22220000-2222-2-2-2-2-22-2-222200002-222-2-2-200000000−2i2i2i−2i000000002i−2i−2i2i0000000000000000000022-2-2-2-222000000002i−2i−2i2i−2i2i2i−2i000000000000000000000000
χ642-222-2-2-22220000-2222-2-2-2-2-22-2-222200002-222-2-2-200000000−2i2i2i−2i00000000−2i2i2i−2i00000000000000000000-2-22222-2-200000000−2i2i2i−2i−2i2i2i−2i000000000000000000000000
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χ1184-4-44-444-44-2-444-44422-4422-2-4-2-4-4-2-200002-2-2222-2-442-24-4-220000000000000000000000002-2-2200000000000000000000000000000000000000000000000000000000
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χ1274-4-4-444-44-24000022-44-2-24-44-2-422-4-20000222-2-22-20000000000004i−4i−4i4i0000000000000000000000000000000000000000000000000000−2i2i2i−2i00000000000000000000
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χ1328-8-8-888-88-4-40000444-4-4-4-44-4-4444420000-2-2-222-2200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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