Finite Group Databasebeta

← Group #11801994

Character table — Group #11801994

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size1111111122222222222222222222444444444444444444446666666666666666888888888888888888889999999912121212121212121212121212121212121212121212121218181818242424242424242436363636
order122222222222336666666666666634444666666666666666222222224444444466661212121212121212121212121212121244444444224444446666666612121212121212124444661212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1-1-1
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
χ511111111111111111111111111111-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ611111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111
χ711111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-11111
χ811111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ911111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ1011111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-111
χ1111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-111-1-1-1-111
χ1211111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1
χ1311111111-1-1-1-111111111111111111-1-111-1-1-1-1-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ1411111111-1-1-1-111111111111111111-1-111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-1
χ1511111111-1-1-1-111111111111111111-1-111-1-1-1-1-1-1-1-11111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-111-1-11111-1-1
χ1611111111-1-1-1-111111111111111111-1-111-1-1-1-1-1-1-1-11111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111
χ171-1-11-111-111-1-11111-1111-1-1-1-11-1-1-11i−ii−i11-1-111-1-1111-1-1-1-111-1-111-1-1ii−i−iii−i−i11-1-1ii−i−iii−i−iii−i−iii−i−iiiii−i−i−i−i1-1i−i1-1i−i11-1-111-1-1ii−i−iii−i−iii−i−i1-1i−ii−i1-11-11-1
χ181-1-11-111-111-1-11111-1111-1-1-1-11-1-1-11i−ii−i11-1-111-1-1111-1-1-1-111-1-111-1-1−i−iii−i−iii11-1-1ii−i−iii−i−iii−i−iii−i−i−i−i−i−iiiii-11i−i-11i−i11-1-111-1-1−i−iii−i−iii−i−iii-11i−ii−i-11-11-11
χ191-1-11-111-111-1-11111-1111-1-1-1-11-1-1-11i−ii−i11-1-111-1-1111-1-1-1-1-1-111-1-111ii−i−iii−i−i11-1-1ii−i−iii−i−iii−i−iii−i−i−i−i−i−iiiii1-1−ii1-1−ii-1-111-1-111ii−i−iii−i−i−i−iii1-1−ii−ii1-1-11-11
χ201-1-11-111-111-1-11111-1111-1-1-1-11-1-1-11i−ii−i11-1-111-1-1111-1-1-1-1-1-111-1-111−i−iii−i−iii11-1-1ii−i−iii−i−iii−i−iii−i−iiiii−i−i−i−i-11−ii-11−ii-1-111-1-111−i−iii−i−iiiii−i−i-11−ii−ii-111-11-1
χ211-1-11-111-111-1-11111-1111-1-1-1-11-1-1-11−ii−ii11-1-111-1-1111-1-1-1-111-1-111-1-1ii−i−iii−i−i11-1-1−i−iii−i−iii−i−iii−i−iiiiiii−i−i−i−i-11−ii-11−ii11-1-111-1-1ii−i−iii−i−iii−i−i-11−ii−ii-11-11-11
χ221-1-11-111-111-1-11111-1111-1-1-1-11-1-1-11−ii−ii11-1-111-1-1111-1-1-1-111-1-111-1-1−i−iii−i−iii11-1-1−i−iii−i−iii−i−iii−i−iii−i−i−i−iiiii1-1−ii1-1−ii11-1-111-1-1−i−iii−i−iii−i−iii1-1−ii−ii1-11-11-1
χ231-1-11-111-111-1-11111-1111-1-1-1-11-1-1-11−ii−ii11-1-111-1-1111-1-1-1-1-1-111-1-111ii−i−iii−i−i11-1-1−i−iii−i−iii−i−iii−i−iii−i−i−i−iiiii-11i−i-11i−i-1-111-1-111ii−i−iii−i−i−i−iii-11i−ii−i-111-11-1
χ241-1-11-111-111-1-11111-1111-1-1-1-11-1-1-11−ii−ii11-1-111-1-1111-1-1-1-1-1-111-1-111−i−iii−i−iii11-1-1−i−iii−i−iii−i−iii−i−iiiiiii−i−i−i−i1-1i−i1-1i−i-1-111-1-111−i−iii−i−iiiii−i−i1-1i−ii−i1-1-11-11
χ251-1-11-111-1-1-1111111-1111-1-1-1-11-1-1-11i−i−ii-1-111-1-111111-1-1-1-111-1-1-1-111ii−i−i−i−iii-1-111ii−i−i−i−iiiii−i−i−i−iiiiiii−i−i−i−i1-1−ii-11i−i11-1-1-1-111ii−i−i−i−iii−i−iii1-1i−i−ii-111-1-11
χ261-1-11-111-1-1-1111111-1111-1-1-1-11-1-1-11i−i−ii-1-111-1-111111-1-1-1-111-1-1-1-111−i−iiiii−i−i-1-111ii−i−i−i−iiiii−i−i−i−iii−i−i−i−iiiii-11−ii1-1i−i11-1-1-1-111−i−iiiii−i−iii−i−i-11i−i−ii1-1-111-1
χ271-1-11-111-1-1-1111111-1111-1-1-1-11-1-1-11i−i−ii-1-111-1-111111-1-1-1-1-1-11111-1-1ii−i−i−i−iii-1-111ii−i−i−i−iiiii−i−i−i−iii−i−i−i−iiiii1-1i−i-11−ii-1-11111-1-1ii−i−i−i−iiiii−i−i1-1−iii−i-11-111-1
χ281-1-11-111-1-1-1111111-1111-1-1-1-11-1-1-11i−i−ii-1-111-1-111111-1-1-1-1-1-11111-1-1−i−iiiii−i−i-1-111ii−i−i−i−iiiii−i−i−i−iiiiiii−i−i−i−i-11i−i1-1−ii-1-11111-1-1−i−iiiii−i−i−i−iii-11−iii−i1-11-1-11
χ291-1-11-111-1-1-1111111-1111-1-1-1-11-1-1-11−iii−i-1-111-1-111111-1-1-1-111-1-1-1-111ii−i−i−i−iii-1-111−i−iiiii−i−i−i−iiiii−i−iiiii−i−i−i−i-11i−i1-1−ii11-1-1-1-111ii−i−i−i−iii−i−iii-11−iii−i1-1-111-1
χ301-1-11-111-1-1-1111111-1111-1-1-1-11-1-1-11−iii−i-1-111-1-111111-1-1-1-111-1-1-1-111−i−iiiii−i−i-1-111−i−iiiii−i−i−i−iiiii−i−i−i−i−i−iiiii1-1i−i-11−ii11-1-1-1-111−i−iiiii−i−iii−i−i1-1−iii−i-111-1-11
χ311-1-11-111-1-1-1111111-1111-1-1-1-11-1-1-11−iii−i-1-111-1-111111-1-1-1-1-1-11111-1-1ii−i−i−i−iii-1-111−i−iiiii−i−i−i−iiiii−i−i−i−i−i−iiiii-11−ii1-1i−i-1-11111-1-1ii−i−i−i−iiiii−i−i-11i−i−ii1-11-1-11
χ321-1-11-111-1-1-1111111-1111-1-1-1-11-1-1-11−iii−i-1-111-1-111111-1-1-1-1-1-11111-1-1−i−iiiii−i−i-1-111−i−iiiii−i−i−i−iiiii−i−iiiii−i−i−i−i1-1−ii-11i−i-1-11111-1-1−i−iiiii−i−i−i−iii1-1i−i−ii-11-111-1
χ332222222222222-1222-1-1-122-1-12-1-12-122222222-1-1-1-1-1-1-1-1-1-1-12222222200000000-1-1-1-12-12-12-12-1-1-1-1-1-1-1-1-10000000000220022-1-1-1-1-1-1-1-100000000000000-1-1-1-1000000
χ342222222222222-1222-1-1-122-1-12-1-12-122222222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-200000000-1-1-1-12-12-12-12-1-1-1-1-1-1-1-1-10000000000-2-200-2-211111111000000000000001111000000
χ352222222222222-1222-1-1-122-1-12-1-12-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-12222222200000000-1-1-1-1-21-21-21-21111111110000000000-2-200-2-2-1-1-1-1-1-1-1-1000000000000001111000000
χ362222222222222-1222-1-1-122-1-12-1-12-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-200000000-1-1-1-1-21-21-21-211111111100000000002200221111111100000000000000-1-1-1-1000000
χ37222222222222-12-1-1-1222-1-122-122-1-12222-1-1-1-12222-1-1-1-1-1-1-10000000022222222-1-1-1-1-12-12-12-12-1-1-1-1-1-1-1-1000000002200220000000000-1-1-1-1-1-1-1-10000-1-10000-1-10000
χ38222222222222-12-1-1-1222-1-122-122-1-12222-1-1-1-12222-1-1-1-1-1-1-100000000-2-2-2-2-2-2-2-2-1-1-1-1-12-12-12-12-1-1-1-1-1-1-1-100000000-2-200-2-20000000000111111110000110000110000
χ39222222222222-12-1-1-1222-1-122-122-1-1-2-2-2-2-1-1-1-12222-1-1-1-1-1-1-10000000022222222-1-1-1-11-21-21-21-21111111100000000-2-200-2-20000000000-1-1-1-1-1-1-1-10000110000110000
χ40222222222222-12-1-1-1222-1-122-122-1-1-2-2-2-2-1-1-1-12222-1-1-1-1-1-1-100000000-2-2-2-2-2-2-2-2-1-1-1-11-21-21-21-211111111000000002200220000000000111111110000-1-10000-1-10000
χ4122222222-2-2-2-22-1222-1-1-122-1-12-1-12-122-2-2-2-2-2-21111-1-1-1-1-1-1-12222-2-2-2-20000000011112-12-1-21-21-1-1-1-111110000000000-2-20022-1-1-1-1111100000000000000-1-111000000
χ4222222222-2-2-2-22-1222-1-1-122-1-12-1-12-122-2-2-2-2-2-21111-1-1-1-1-1-1-1-2-2-2-222220000000011112-12-1-21-21-1-1-1-1111100000000002200-2-21111-1-1-1-10000000000000011-1-1000000
χ4322222222-2-2-2-22-1222-1-1-122-1-12-1-12-1-2-222-2-2-2-21111-1-1-1-1-1-1-12222-2-2-2-2000000001111-21-212-12-11111-1-1-1-100000000002200-2-2-1-1-1-111110000000000000011-1-1000000
χ4422222222-2-2-2-22-1222-1-1-122-1-12-1-12-1-2-222-2-2-2-21111-1-1-1-1-1-1-1-2-2-2-22222000000001111-21-212-12-11111-1-1-1-10000000000-2-200221111-1-1-1-100000000000000-1-111000000
χ4522222222-2-2-2-2-12-1-1-1222-1-122-122-1-122-2-21111-2-2-2-2-1-1-1-1-1-1-1000000002222-2-2-2-21111-12-121-21-2-1-1-1-11111000000002200-2-20000000000-1-1-1-111110000-1-10000110000
χ4622222222-2-2-2-2-12-1-1-1222-1-122-122-1-122-2-21111-2-2-2-2-1-1-1-1-1-1-100000000-2-2-2-222221111-12-121-21-2-1-1-1-1111100000000-2-2002200000000001111-1-1-1-10000110000-1-10000
χ4722222222-2-2-2-2-12-1-1-1222-1-122-122-1-1-2-2221111-2-2-2-2-1-1-1-1-1-1-1000000002222-2-2-2-211111-21-2-12-121111-1-1-1-100000000-2-200220000000000-1-1-1-111110000110000-1-10000
χ4822222222-2-2-2-2-12-1-1-1222-1-122-122-1-1-2-2221111-2-2-2-2-1-1-1-1-1-1-100000000-2-2-2-2222211111-21-2-12-121111-1-1-1-1000000002200-2-200000000001111-1-1-1-10000-1-10000110000
χ492222-2-2-2-22-22-222-2-2-22-2-222222-2-2-2200002-22-22-22-22-2-2-2-22200000000000000002-22-200000000000000002i2i−2i−2i2i2i−2i−2i0000000000000000000000002i−2i2i−2i000000000000
χ502222-2-2-2-22-22-222-2-2-22-2-222222-2-2-2200002-22-22-22-22-2-2-2-22200000000000000002-22-20000000000000000−2i−2i2i2i−2i−2i2i2i000000000000000000000000−2i2i−2i2i000000000000
χ512222-2-2-2-2-22-2222-2-2-22-2-222222-2-2-220000-22-22-22-222-2-2-2-2220000000000000000-22-2200000000000000002i2i−2i−2i2i2i−2i−2i000000000000000000000000−2i2i−2i2i000000000000
χ522222-2-2-2-2-22-2222-2-2-22-2-222222-2-2-220000-22-22-22-222-2-2-2-2220000000000000000-22-220000000000000000−2i−2i2i2i−2i−2i2i2i0000000000000000000000002i−2i2i−2i000000000000
χ5322-2-222-2-20000222-22-22-22-22-2-22-2-22000000000000-22-22-22-200002-22-200002i−2i2i−2i000000000000000000002i−2i2i−2i2i−2i2i−2i0000000000002-22-200002i−2i2i−2i0000000000000000
χ5422-2-222-2-20000222-22-22-22-22-2-22-2-22000000000000-22-22-22-200002-22-20000−2i2i−2i2i00000000000000000000−2i2i−2i2i−2i2i−2i2i0000000000002-22-20000−2i2i−2i2i0000000000000000
χ5522-2-222-2-20000222-22-22-22-22-2-22-2-22000000000000-22-22-22-20000-22-2200002i−2i2i−2i00000000000000000000−2i2i−2i2i−2i2i−2i2i000000000000-22-2200002i−2i2i−2i0000000000000000
χ5622-2-222-2-20000222-22-22-22-22-2-22-2-22000000000000-22-22-22-20000-22-220000−2i2i−2i2i000000000000000000002i−2i2i−2i2i−2i2i−2i000000000000-22-220000−2i2i−2i2i0000000000000000
χ5722-2-2-2-222000022-22-2-2-222-22-2-2-2222000000000000-2-22-222-22-22-200002-22-20000000000000000000000002-2-222-2-22000000002-22-200002-22-200000000000000000000
χ5822-2-2-2-222000022-22-2-2-222-22-2-2-2222000000000000-2-22-222-22-22-20000-22-22000000000000000000000000-222-2-222-2000000002-22-20000-22-2200000000000000000000
χ5922-2-2-2-222000022-22-2-2-222-22-2-2-2222000000000000-2-22-222-2-22-2200002-22-2000000000000000000000000-222-2-222-200000000-22-2200002-22-200000000000000000000
χ6022-2-2-2-222000022-22-2-2-222-22-2-2-2222000000000000-2-22-222-2-22-220000-22-220000000000000000000000002-2-222-2-2200000000-22-220000-22-2200000000000000000000
χ612-22-22-22-2000022-222-2-22-22-22-22-2-22000000000000-2-222-2-222-2-2200002i−2i−2i2i0000000000000000000000002i−2i−2i2i−2i2i2i−2i000000002-2-2200002i−2i−2i2i00000000000000000000
χ622-22-22-22-2000022-222-2-22-22-22-22-2-22000000000000-2-222-2-222-2-220000−2i2i2i−2i000000000000000000000000−2i2i2i−2i2i−2i−2i2i000000002-2-220000−2i2i2i−2i00000000000000000000
χ632-22-22-22-2000022-222-2-22-22-22-22-2-22000000000000-2-222-2-22-222-200002i−2i−2i2i000000000000000000000000−2i2i2i−2i2i−2i−2i2i00000000-222-200002i−2i−2i2i00000000000000000000
χ642-22-22-22-2000022-222-2-22-22-22-22-2-22000000000000-2-222-2-22-222-20000−2i2i2i−2i0000000000000000000000002i−2i−2i2i−2i2i2i−2i00000000-222-20000−2i2i2i−2i00000000000000000000
χ652-22-2-22-220000222-2-2-22-2-22-22-2-2222000000000000-22-2-22-2200002-2-2200002-2-22000000000000000000002-22-2-22-220000000000002-2-2200002-2-220000000000000000
χ662-22-2-22-220000222-2-2-22-2-22-22-2-2222000000000000-22-2-22-2200002-2-220000-222-200000000000000000000-22-222-22-20000000000002-2-220000-222-20000000000000000
χ672-22-2-22-220000222-2-2-22-2-22-22-2-2222000000000000-22-2-22-220000-222-200002-2-2200000000000000000000-22-222-22-2000000000000-222-200002-2-220000000000000000
χ682-22-2-22-220000222-2-2-22-2-22-22-2-2222000000000000-22-2-22-220000-222-20000-222-2000000000000000000002-22-2-22-22000000000000-222-20000-222-20000000000000000
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Here i is the imaginary unit (i² = −1).