Finite Group Databasebeta

← Group #72252338

Character table — Group #72252338

Order 4608.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168
size11222222244444444444444444444448888888888888888888888888888888888899161616161616161616161616161616161818182424242424242424242424242424242432323232323232323232323232323232363636363636363636363636484848484848484848484848484848484848484848484848729696969696969696144144144144
order122223366222222223444466666666626666666666666666666666666612121212121212122244446666666612121212222222244444444444412121212121212121212121212121212222222224444666688888888121212121212121212121212224242424242424244444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1
χ5111111111111111111111111111111111111111111111111111111111111111111-1-11111111111111111-1-1-111-1-111-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111111111111111111111111111111111111111-1-11111111111111111-1-1-1-1-111-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-11111-1-1-1-1
χ7111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-111111111
χ8111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11111-11111-1-1-1-11111
χ91111111111111-1-1-1-1111-1-1111111111-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111ii−i−i-1-11111-1-111-1-111111111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-111-1-11111ii−i−iii−i−i1111-1-1-1-1-1-1-1-1-1ii−i−iii−i−iii−i−i
χ101111111111111-1-1-1-1111-1-1111111111-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111ii−i−i-1-11111-1-111-1-1111-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-111-1-1-1-1-1-1−i−iii−i−iii-1-1-1-111111111-1−i−iii−i−iiiii−i−i
χ111111111111111-1-1-1-1111-1-1111111111-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111−i−iii-1-11111-1-111-1-111111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-111-1-11111−i−iii−i−iii1111-1-1-1-1-1-1-1-1-1−i−iii−i−iii−i−iii
χ121111111111111-1-1-1-1111-1-1111111111-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111−i−iii-1-11111-1-111-1-1111-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-111-1-1-1-1-1-1ii−i−iii−i−i-1-1-1-111111111-1ii−i−iii−i−i−i−iii
χ131111111111111-1-1-1-1111-1-1111111111-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1ii−i−i-1-11111-1-111-1-1-1-1-111-1-111-1-1-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111-1-11111-1-1ii−i−i−i−iii11-1-1-1-1-1-111111ii−i−i−i−iii−i−iii
χ141111111111111-1-1-1-1111-1-1111111111-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1ii−i−i-1-11111-1-111-1-1-1-1-1-1-111-1-1111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111-1-111-1-111−i−iiiii−i−i-1-1111111-1-1-1-11−i−iiiii−i−i−i−iii
χ151111111111111-1-1-1-1111-1-1111111111-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1−i−iii-1-11111-1-111-1-1-1-1-111-1-111-1-1-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111-1-11111-1-1−i−iiiii−i−i11-1-1-1-1-1-111111−i−iiiii−i−iii−i−i
χ161111111111111-1-1-1-1111-1-1111111111-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1−i−iii-1-11111-1-111-1-1-1-1-1-1-111-1-1111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111-1-111-1-111ii−i−i−i−iii-1-1111111-1-1-1-11ii−i−i−i−iiiii−i−i
χ1711111111111-1-111-1-11-1-1-1-111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111i−ii−i1111-1-111-1-1-1-11111-11-11-11-111-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-111-1-1-1-1-1-11-11-1i−ii−ii−ii−i1-11-111-1-111-1-11i−ii−ii−ii−ii−ii−i
χ1811111111111-1-111-1-11-1-1-1-111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111i−ii−i1111-1-111-1-1-1-1111-11-11-11-11-1-111-1-111iiii−i−i−i−iiiii−i−i−i−i11-1-111-1-1-1-1-1-1-11-11−ii−ii−ii−ii-11-11-1-111-1-1111−ii−ii−ii−iii−ii−i
χ1911111111111-1-111-1-11-1-1-1-111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111−ii−ii1111-1-111-1-1-1-11111-11-11-11-111-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-1-1-1-1-11-11-1−ii−ii−ii−ii1-11-111-1-111-1-11−ii−ii−ii−ii−ii−ii
χ2011111111111-1-111-1-11-1-1-1-111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111−ii−ii1111-1-111-1-1-1-1111-11-11-11-11-1-111-1-111−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-1-1-1-1-1-11-11i−ii−ii−ii−i-11-11-1-111-1-1111i−ii−ii−ii−i−ii−ii
χ2111111111111-1-111-1-11-1-1-1-111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1i−ii−i1111-1-111-1-1-1-1-1-1-11-1-111-1-1111-1-1-1-111iiii−i−i−i−iiiii−i−i−i−i-1-111-1-11111111-1-11i−ii−i−ii−ii1-1-1111-1-1-1-111-1i−ii−i−ii−ii−ii−ii
χ2211111111111-1-111-1-11-1-1-1-111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1i−ii−i1111-1-111-1-1-1-1-1-1-1-111-1-111-1-1-11111-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111-1-1111111-111-1−ii−iii−ii−i-111-1-1-11111-1-1-1−ii−iii−ii−i−ii−ii
χ2311111111111-1-111-1-11-1-1-1-111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−ii−ii1111-1-111-1-1-1-1-1-1-11-1-111-1-1111-1-1-1-111−i−i−i−iiiii−i−i−i−iiiii-1-111-1-11111111-1-11−ii−iii−ii−i1-1-1111-1-1-1-111-1−ii−iii−ii−ii−ii−i
χ2411111111111-1-111-1-11-1-1-1-111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−ii−ii1111-1-111-1-1-1-1-1-1-1-111-1-111-1-1-11111-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111-1-1111111-111-1i−ii−i−ii−ii-111-1-1-11111-1-1-1i−ii−i−ii−iii−ii−i
χ2511111111111-1-1-1-1111-1-111111111111-11111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11111111-1-11-1-111-1-1-1-1-1-1111111-11-11-11-1-1-111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1111-11-11-1-111-1-111-11-1-1-111-1-111-11-1-111-1-111-1-11
χ2611111111111-1-1-1-1111-1-111111111111-11111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11111111-1-11-1-111-1-1-1-1-1-111111-11-11-11-1111-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-11-11-111-1-111-1-11-1111-1-111-1-1-1-111-1-111-11-1-11
χ2711111111111-1-1-1-1111-1-111111111111-11111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1111111-111-1-1-111-1-1-1-1-1-1111111-11-11-11-1-1-111-1-111-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1111-11-1-111-1-111-11-11-1-1-111-1-111-1-111-1-111-1-111-1
χ2811111111111-1-1-1-1111-1-111111111111-11111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1111111-111-1-1-111-1-1-1-1-1-111111-11-11-11-1111-1-111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-111-11-111-1-111-1-11-11-1111-1-111-1-1-11-1-111-1-11-111-1
χ2911111111111-1-1-1-1111-1-111111111111-11111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-11-1-11-1-111-1-1-1-1-1-111-1-1-11-1-111-1-11-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-11-1-111-1-11-111-11-1-11-1-11111-1-111-1-11-111-1-111-1
χ3011111111111-1-1-1-1111-1-111111111111-11111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-11-1-11-1-111-1-1-1-1-1-111-1-1-1-111-1-111-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-111-1-111-11-1-11-111-111-1-1-1-1111-111-11-1-11-111-1
χ3111111111111-1-1-1-1111-1-111111111111-11111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-111-1-1-111-1-1-1-1-1-111-1-1-11-1-111-1-11-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-111-1-11-1-11-111-11-1-111-1-11-1-11111-1-11-111-11-1-111-1-11
χ3211111111111-1-1-1-1111-1-111111111111-11111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-111-1-1-111-1-1-1-1-1-111-1-1-1-111-1-111-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-11111-1-111-1-1-111-11-1-11-111-1-111-111-1-1-1-11111-1-11-111-11-1-11
χ33222222222-2-22222222-2-2-2-2222222222-2-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-2220000-2-2-2-222-2-2-2-2-2-222200000000000000000000000000000000-2-2222222-2-2-2-2000000000000000000000000-2000000000000
χ34222222222-2-22222222-2-2-2-2222222222-2-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-2-2-20000-2-2-2-222-2-2-2-2-2-2-2-2-20000000000000000000000000000000022-2-2-2-2-2-222220000000000000000000000002000000000000
χ35222222222-2-222-2-2-2-22-2-2222222222222-2-2-2-22222-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222000022-2-22222-2-22222200000000000000000000000000000000-2-222-2-2-2-2-2-2220000000000000000000000002000000000000
χ36222222222-2-222-2-2-2-22-2-2222222222222-2-2-2-22222-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2000022-2-22222-2-222-2-2-20000000000000000000000000000000022-2-2222222-2-2000000000000000000000000-2000000000000
χ37222222222-2-2-2-222-2-222222222222222-2-2-2-2-2-2-2-2-22222222222-2-2-2-2-2-2-2-222222222220000-2-2-2-2-2-2-2-2222222200000000000000000000000000000000-2-2-2-222-2-22222000000000000000000000000-2000000000000
χ38222222222-2-2-2-222-2-222222222222222-2-2-2-2-2-2-2-2-22222222222-2-2-2-2-2-2-2-222222222-2-20000-2-2-2-2-2-2-2-22222-2-2-2000000000000000000000000000000002222-2-222-2-2-2-20000000000000000000000002000000000000
χ39222222222-2-2-2-2-2-222222-2-22222222222-2-2-2-2-2-2-2-2-2-2-2-222-2-2-2-2222222222222-2-2-2-222000022-2-2-2-22222-2-222200000000000000000000000000000000-2-2-2-2-2-22222-2-20000000000000000000000002000000000000
χ40222222222-2-2-2-2-2-222222-2-22222222222-2-2-2-2-2-2-2-2-2-2-2-222-2-2-2-2222222222222-2-2-2-2-2-2000022-2-2-2-22222-2-2-2-2-200000000000000000000000000000000222222-2-2-2-222000000000000000000000000-2000000000000
χ41222222-12-122222222-1222222-1-1-1-1-12-1222-1-122-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-122-1-10022222-1-1-1-1-1-1-1-1-1-1-100000220022000022222-1-1-12-1-1-12-1-1-12-1-1-100000000000000-1-10000222200-1-10000-1-1-1-100000-1-1-1-10000
χ42222222-12-122222222-1222222-1-1-1-1-12-1222-1-122-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-122-1-10022222-1-1-1-1-1-1-1-1-1-1-100000-2-200-2-20000-2-2-2-22-1-1-12-1-1-12-1-1-12-1-1-100000000000000110000-2-2-2-20011000011110000011110000
χ43222222-12-122222222-1222222-1-1-1-1-12-1222-1-122-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-122-1-100-2-2-2-22-1-1-1-1-1-1-1-1-1-1-10000022002200002222-2111-2111-2111-211100000000000000-1-10000-2-2-2-200-1-10000-1-1-1-10000011110000
χ44222222-12-122222222-1222222-1-1-1-1-12-1222-1-122-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-122-1-100-2-2-2-22-1-1-1-1-1-1-1-1-1-1-100000-2-200-2-20000-2-2-2-2-2111-2111-2111-211100000000000000110000222200110000111100000-1-1-1-10000
χ45222222-12-12222-2-2-2-2-122-2-222-1-1-1-1-12-1-222-1-122-1-1-2-211-1-11111-2-211111122-1-1-2-211002i2i−2i−2i-21-1-1-1-111-1-111000002200220000-2-2-2-22i−i−i−i2i−i−i−i−2iiii−2iiii00000000000000-1-100002i2i−2i−2i00-1-10000111100000−i−iii0000
χ46222222-12-12222-2-2-2-2-122-2-222-1-1-1-1-12-1-222-1-122-1-1-2-211-1-11111-2-211111122-1-1-2-211002i2i−2i−2i-21-1-1-1-111-1-11100000-2-200-2-2000022222i−i−i−i2i−i−i−i−2iiii−2iiii00000000000000110000−2i−2i2i2i00110000-1-1-1-100000ii−i−i0000
χ47222222-12-12222-2-2-2-2-122-2-222-1-1-1-1-12-1-222-1-122-1-1-2-211-1-11111-2-211111122-1-1-2-21100−2i−2i2i2i-21-1-1-1-111-1-111000002200220000-2-2-2-2−2iiii−2iiii2i−i−i−i2i−i−i−i00000000000000-1-10000−2i−2i2i2i00-1-10000111100000ii−i−i0000
χ48222222-12-12222-2-2-2-2-122-2-222-1-1-1-1-12-1-222-1-122-1-1-2-211-1-11111-2-211111122-1-1-2-21100−2i−2i2i2i-21-1-1-1-111-1-11100000-2-200-2-200002222−2iiii−2iiii2i−i−i−i2i−i−i−i000000000000001100002i2i−2i−2i00110000-1-1-1-100000−i−iii0000
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Here i is the imaginary unit (i² = −1).