Finite Group Databasebeta

← Group #72259861

Character table — Group #72259861

Order 2304.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156
size1111222222222222224444444444444444444444444444888888888888888888888888888888999912121212121212121212121212121212161616161616161616161616181818181818242424242424242424242424242424242424242424242424363636363636363648484848484848487272
order12222233444466666634444444466666666666121212121212121244121212121212121212121212121212121212121212121212121212124444222244444444444412121212121212121212121244444466668888888812121212121212121212121222224444242424242424242422
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111
χ31111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-111-1-111-1-111-1-1111111111111-1-1-1-1-1-111-1-11111-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-111-1-111-1-111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ511111111111111111111111-1-1-1-11111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ611111111111111111111111-1-1-1-11111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1
χ711111111111111111111111-1-1-1-11111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-111-1-111-1-1-1-1-1-11111-1-1-1-1111111
χ811111111111111111111111-1-1-1-11111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111-1-111-1-1-1-111111111-1-1-1-111
χ91111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-111-1-1-1-1
χ101111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-111-1-1
χ111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-11111
χ121111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111111111-1-1-1-1-1-11111-1-111
χ131111111111111111111-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111-1-1111111-1-1-1-1111111111111-1-1-1-111-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-11111
χ141111111111111111111-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-111-1-11111-1-1-1-11111111111-1-11111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-111
χ151111111111111111111-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-11111-1-1-1-1
χ161111111111111111111-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111111111111111-1-1-1-111-1-1
χ1711-1-11-11111-1-1-1-111-1-11ii−i−i11-1-1-1-1-1-1-111111-111-1-111-1-1i−iiiii−i−i−i−i11-1-111111111-1-1-1-1-1-1-1-1ii−i−i1-11-11-11-1i−ii−ii−ii−iii−i−iii−i−iii−i−iii−i−ii−i1-11-11-1i−ii−i1-1i−ii−i1-11-1i−ii−i11-1-1ii−i−i1-1i−ii−i1-11-1
χ1811-1-11-11111-1-1-1-111-1-11ii−i−i11-1-1-1-1-1-1-111111-111-1-111-1-1i−iiiii−i−i−i−i11-1-111111111-1-1-1-1-1-1-1-1ii−i−i-11-11-11-11−ii−ii−ii−iiii−i−iii−i−iii−i−iii−i−ii−i-11-11-11−ii−ii-11−ii−ii-11-11−ii−ii11-1-1ii−i−i-11−ii−ii-111-1
χ1911-1-11-11111-1-1-1-111-1-11ii−i−i11-1-1-1-1-1-1-111111-111-1-111-1-1i−iiiii−i−i−i−i11-1-111111111-1-1-1-1-1-1-1-1−i−iii1-1-111-1-11i−i−iii−i−iiii−i−iii−i−iii−i−i−i−iii−ii1-1-111-1i−i−ii-11i−i−ii1-1-11i−i−ii-1-111−i−iii1-1i−i−ii-11-11
χ2011-1-11-11111-1-1-1-111-1-11ii−i−i11-1-1-1-1-1-1-111111-111-1-111-1-1i−iiiii−i−i−i−i11-1-111111111-1-1-1-1-1-1-1-1−i−iii-111-1-111-1−iii−i−iii−iii−i−iii−i−iii−i−i−i−iii−ii-111-1-11−iii−i1-1−iii−i-111-1−iii−i-1-111−i−iii-11−iii−i1-1-11
χ2111-1-11-11111-1-1-1-111-1-11ii−i−i-1-111-1-1-1-1-111111-111-1-111-1-1−iiiiii−i−i−i−i11-1-1-1-1-1-1-1-1-1-111111111ii−i−i1-11-11-11-1i−ii−ii−ii−i−i−iiiii−i−i−i−iiiii−i−ii−i1-11-1-11−ii−ii-11i−ii−i1-11-1i−ii−i11-1-1−i−iii-11−ii−ii-11-11
χ2211-1-11-11111-1-1-1-111-1-11ii−i−i-1-111-1-1-1-1-111111-111-1-111-1-1−iiiiii−i−i−i−i11-1-1-1-1-1-1-1-1-1-111111111ii−i−i-11-11-11-11−ii−ii−ii−ii−i−iiiii−i−i−i−iiiii−i−ii−i-11-111-1i−ii−i1-1−ii−ii-11-11−ii−ii11-1-1−i−iii1-1i−ii−i1-1-11
χ2311-1-11-11111-1-1-1-111-1-11ii−i−i-1-111-1-1-1-1-111111-111-1-111-1-1−iiiiii−i−i−i−i11-1-1-1-1-1-1-1-1-1-111111111−i−iii1-1-111-1-11i−i−iii−i−ii−i−iiiii−i−i−i−iii−i−iii−ii1-1-11-11−iii−i1-1i−i−ii1-1-11i−i−ii-1-111ii−i−i-11−iii−i1-11-1
χ2411-1-11-11111-1-1-1-111-1-11ii−i−i-1-111-1-1-1-1-111111-111-1-111-1-1−iiiiii−i−i−i−i11-1-1-1-1-1-1-1-1-1-111111111−i−iii-111-1-111-1−iii−i−iii−i−i−iiiii−i−i−i−iii−i−iii−ii-111-11-1i−i−ii-11−iii−i-111-1−iii−i-1-111ii−i−i1-1i−i−ii-111-1
χ2511-1-11-11111-1-1-1-111-1-11−i−iii11-1-1-1-1-1-1-111111-111-1-111-1-1−ii−i−i−i−iiiii11-1-111111111-1-1-1-1-1-1-1-1ii−i−i1-1-111-1-11−iii−i−iii−i−i−iii−i−iii−i−iiiii−i−ii−i1-1-111-1−iii−i-11−iii−i1-1-11−iii−i-1-111ii−i−i1-1−iii−i-11-11
χ2611-1-11-11111-1-1-1-111-1-11−i−iii11-1-1-1-1-1-1-111111-111-1-111-1-1−ii−i−i−i−iiiii11-1-111111111-1-1-1-1-1-1-1-1ii−i−i-111-1-111-1i−i−iii−i−ii−i−iii−i−iii−i−iiiii−i−ii−i-111-1-11i−i−ii1-1i−i−ii-111-1i−i−ii-1-111ii−i−i-11i−i−ii1-1-11
χ2711-1-11-11111-1-1-1-111-1-11−i−iii11-1-1-1-1-1-1-111111-111-1-111-1-1−ii−i−i−i−iiiii11-1-111111111-1-1-1-1-1-1-1-1−i−iii1-11-11-11-1−ii−ii−ii−ii−i−iii−i−iii−i−iii−i−iii−ii1-11-11-1−ii−ii1-1−ii−ii1-11-1−ii−ii11-1-1−i−iii1-1−ii−ii1-11-1
χ2811-1-11-11111-1-1-1-111-1-11−i−iii11-1-1-1-1-1-1-111111-111-1-111-1-1−ii−i−i−i−iiiii11-1-111111111-1-1-1-1-1-1-1-1−i−iii-11-11-11-11i−ii−ii−ii−i−i−iii−i−iii−i−iii−i−iii−ii-11-11-11i−ii−i-11i−ii−i-11-11i−ii−i11-1-1−i−iii-11i−ii−i-111-1
χ2911-1-11-11111-1-1-1-111-1-11−i−iii-1-111-1-1-1-1-111111-111-1-111-1-1i−i−i−i−i−iiiii11-1-1-1-1-1-1-1-1-1-111111111ii−i−i1-1-111-1-11−iii−i−iii−iii−i−i−i−iiiii−i−iii−i−ii−i1-1-11-11i−i−ii1-1−iii−i1-1-11−iii−i-1-111−i−iii-11i−i−ii1-11-1
χ3011-1-11-11111-1-1-1-111-1-11−i−iii-1-111-1-1-1-1-111111-111-1-111-1-1i−i−i−i−i−iiiii11-1-1-1-1-1-1-1-1-1-111111111ii−i−i-111-1-111-1i−i−iii−i−iiii−i−i−i−iiiii−i−iii−i−ii−i-111-11-1−iii−i-11i−i−ii-111-1i−i−ii-1-111−i−iii1-1−iii−i-111-1
χ3111-1-11-11111-1-1-1-111-1-11−i−iii-1-111-1-1-1-1-111111-111-1-111-1-1i−i−i−i−i−iiiii11-1-1-1-1-1-1-1-1-1-111111111−i−iii1-11-11-11-1−ii−ii−ii−iiii−i−i−i−iiiii−i−i−i−iii−ii1-11-1-11i−ii−i-11−ii−ii1-11-1−ii−ii11-1-1ii−i−i-11i−ii−i-11-11
χ3211-1-11-11111-1-1-1-111-1-11−i−iii-1-111-1-1-1-1-111111-111-1-111-1-1i−i−i−i−i−iiiii11-1-1-1-1-1-1-1-1-1-111111111−i−iii-11-11-11-11i−ii−ii−ii−iii−i−i−i−iiiii−i−i−i−iii−ii-11-111-1−ii−ii1-1i−ii−i-11-11i−ii−i11-1-1ii−i−i1-1−ii−ii1-1-11
χ3322222222-2-2-2-222222222-22-2000022222222222-2-2-2-2-2-2-2-20022-2-222-2-2-2-2-2-200000000000000002222000000000000000000002-22-20000-2-2-2-2220000000000000000000000002-22-200000000000000
χ3422222222-2-2-2-222222222-22-2000022222222222-2-2-2-2-2-2-2-20022-2-222-2-2-2-2-2-20000000000000000-2-2-2-2000000000000000000002-22-200002222-2-2000000000000000000000000-22-2200000000000000
χ3522222222-2-2-2-22222222-22-22000022222222222-2-2-2-2-2-2-2-200-2-222-2-222-2-2-2-20000000000000000222200000000000000000000-22-220000-2-2-2-222000000000000000000000000-22-2200000000000000
χ3622222222-2-2-2-22222222-22-22000022222222222-2-2-2-2-2-2-2-200-2-222-2-222-2-2-2-20000000000000000-2-2-2-200000000000000000000-22-2200002222-2-20000000000000000000000002-22-200000000000000
χ372222222-122222-12-12-1-1222222222-1-1-1-12-1-1-1-1-12-12-12-12-1222-12-12-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1000000220022002200222-12-1-1-1-1-1-1-1-1-100000000-1-10000222200-1-100-1-100-1-1000000000000-1-1-1-100
χ382222222-122222-12-12-1-1222222222-1-1-1-12-1-1-1-1-12-12-12-12-1222-12-12-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1000000-2-200-2-200-2-200-2-22-12-1-1-1-1-1-1-1-1-100000000110000-2-2-2-2001100110011000000000000111100
χ392222222-122222-12-12-1-12222-2-2-2-22-1-1-1-12-1-1-1-1-12-12-12-12-1-2-22-12-12-12-1-1-1-1-1-2-2111111-2-211111100000022002200220022-21-21-1-1-1-1111100000000-1-10000-2-2-2-200-1-100-1-100-1-1000000000000111100
χ402222222-122222-12-12-1-12222-2-2-2-22-1-1-1-12-1-1-1-1-12-12-12-12-1-2-22-12-12-12-1-1-1-1-1-2-2111111-2-2111111000000-2-200-2-200-2-200-2-2-21-21-1-1-1-11111000000001100002222001100110011000000000000-1-1-1-100
χ412222222-122222-12-12-1-1-2-2-2-222222-1-1-1-12-1-1-1-1-12-12-12-12-1-2-2-21-21-21-21-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-100000022002200-2-200-2-2-21-211111111100000000-1-10000-2-222001100-1-1001100000000000011-1-100
χ422222222-122222-12-12-1-1-2-2-2-222222-1-1-1-12-1-1-1-1-12-12-12-12-1-2-2-21-21-21-21-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1000000-2-200-2-200220022-21-21111111110000000011000022-2-200-1-1001100-1-1000000000000-1-11100
χ432222222-122222-12-12-1-1-2-2-2-2-2-2-2-22-1-1-1-12-1-1-1-1-12-12-12-12-122-21-21-21-21-1-1-1-1-2-2111111-2-211111100000022002200-2-200-2-22-12-11111-1-1-1-100000000-1-1000022-2-2001100-1-10011000000000000-1-11100
χ442222222-122222-12-12-1-1-2-2-2-2-2-2-2-22-1-1-1-12-1-1-1-1-12-12-12-12-122-21-21-21-21-1-1-1-1-2-2111111-2-2111111000000-2-200-2-2002200222-12-11111-1-1-1-100000000110000-2-22200-1-1001100-1-100000000000011-1-100
χ45222222-122222-12-12-12-122222222-12-1-1-1-12-1-1-1-1-12-12-12-1222-12-12-12-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-100002200220022002200-12-12-1-1-1-1-1-1-1-1000000-1-10022220000-1-100-1-100-1-10000000000-1-1-1-1000000
χ46222222-122222-12-12-12-122222222-12-1-1-1-12-1-1-1-1-12-12-12-1222-12-12-12-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-10000-2-200-2-200-2-200-2-200-12-12-1-1-1-1-1-1-1-10000001100-2-2-2-20000110011001100000000001111000000
χ47222222-122222-12-12-12-12222-2-2-2-2-12-1-1-1-12-1-1-1-1-12-12-12-12-2-2-12-12-12-12-1-1-1-111-2-2111111-2-21111000022002200220022001-21-2-1-1-1-11111000000-1-100-2-2-2-20000-1-100-1-100-1-100000000001111000000
χ48222222-122222-12-12-12-12222-2-2-2-2-12-1-1-1-12-1-1-1-1-12-12-12-12-2-2-12-12-12-12-1-1-1-111-2-2111111-2-211110000-2-200-2-200-2-200-2-2001-21-2-1-1-1-1111100000011002222000011001100110000000000-1-1-1-1000000
χ49222222-122222-12-12-12-1-2-2-2-22222-12-1-1-1-12-1-1-1-1-12-12-12-12-2-21-21-21-21-2-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1000022002200-2-200-2-2001-21-211111111000000-1-10022-2-200001100-1-100110000000000-1-111000000
χ50222222-122222-12-12-12-1-2-2-2-22222-12-1-1-1-12-1-1-1-1-12-12-12-12-2-21-21-21-21-2-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-10000-2-200-2-200220022001-21-2111111110000001100-2-2220000-1-1001100-1-1000000000011-1-1000000
χ51222222-122222-12-12-12-1-2-2-2-2-2-2-2-2-12-1-1-1-12-1-1-1-1-12-12-12-12221-21-21-21-2-1-1-1-111-2-2111111-2-21111000022002200-2-200-2-200-12-121111-1-1-1-1000000-1-100-2-22200001100-1-10011000000000011-1-1000000
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Here i is the imaginary unit (i² = −1).