Finite Group Databasebeta

← Group #72250664

Character table — Group #72250664

Order 4096.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148
size11112222224444444444444444888888888888888888888816161616161616161616161616161616161616161616161632323232323232323232323232323232323232323232323232323232323232323232323232323232323232326464646464646464646464646464646464646464646464646464646464646464
order1222222222222222224444444422222222224444444444442222222244444444444444442244444444444444444444444444444444448888888844444444888888888888888888888888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ4111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ5111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ7111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ8111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111
χ91111111111111-1-1-11-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-111-1-1iiii−i−i−i−i-111111111-1-1-1-1-1-1-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i11-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i
χ101111111111111-1-1-11-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-111-1-1iiii−i−i−i−i-111-1-1-1-1111111-1-1-1-1ii−i−i-1-1-1-11111iiii−i−i−i−i1111-1-1-1-1−i−i−i−iiiii-1-111-1-111iiii−i−i−i−i−i−i−i−iiiii
χ111111111111111-1-1-11-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-111-1-1iiii−i−i−i−i-1-1-11111-1-1-1-1-1-11111ii−i−i-1-1-1-11111iiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii11-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i
χ121111111111111-1-1-11-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-111-1-1iiii−i−i−i−i-1-1-1-1-1-1-1-1-111111111ii−i−i1111-1-1-1-1iiii−i−i−i−i-1-1-1-11111iiii−i−i−i−i-1-11111-1-1−i−i−i−iiiii−i−i−i−iiiii
χ131111111111111-1-1-11-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-111-1-1−i−i−i−iiiii-111111111-1-1-1-1-1-1-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii11-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii
χ141111111111111-1-1-11-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-111-1-1−i−i−i−iiiii-111-1-1-1-1111111-1-1-1-1−i−iii-1-1-1-11111−i−i−i−iiiii1111-1-1-1-1iiii−i−i−i−i-1-111-1-111−i−i−i−iiiiiiiii−i−i−i−i
χ151111111111111-1-1-11-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-111-1-1−i−i−i−iiiii-1-1-11111-1-1-1-1-1-11111−i−iii-1-1-1-11111−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i11-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii
χ161111111111111-1-1-11-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-111-1-1−i−i−i−iiiii-1-1-1-1-1-1-1-1-111111111−i−iii1111-1-1-1-1−i−i−i−iiiii-1-1-1-11111−i−i−i−iiiii-1-11111-1-1iiii−i−i−i−iiiii−i−i−i−i
χ171-1-1111-1-1-1111-111-1-1-1111-1-1-1-1111-1-11-1-1-11111-1-111-1-111-1-111-1-111-1-11-1-11-11-1ii−i−iii−i−i11-1ii−i−i1-1ii−i−i11-1-1i−ii−iii−i−iii−i−iii−i−iii−i−i11-1-111-1-111-1-111-1-1i−ii−ii−ii−iii−i−iii−i−i11-1-111-1-1
χ181-1-1111-1-1-1111-111-1-1-1111-1-1-1-1111-1-11-1-1-11111-1-111-1-111-1-111-1-111-1-11-1-11-11-1ii−i−iii−i−i11-1−i−iii1-1−i−iii11-1-1i−ii−i−i−iii−i−iiiii−i−iii−i−i11-1-111-1-1-1-111-1-111−ii−ii−ii−iiii−i−iii−i−i-1-111-1-111
χ191-1-1111-1-1-1111-111-1-1-1111-1-1-1-1111-1-11-1-1-11111-1-111-1-111-1-111-1-111-1-11-1-11-11-1ii−i−iii−i−i1-11ii−i−i-11ii−i−i-1-111i−ii−i−i−iii−i−iiiii−i−iii−i−i-1-111-1-111-1-111-1-111i−ii−i−ii−ii−i−iii−i−iii11-1-111-1-1
χ201-1-1111-1-1-1111-111-1-1-1111-1-1-1-1111-1-11-1-1-11111-1-111-1-111-1-111-1-111-1-11-1-11-11-1ii−i−iii−i−i1-11−i−iii-11−i−iii-1-111i−ii−iii−i−iii−i−iii−i−iii−i−i-1-111-1-11111-1-111-1-1−ii−iii−ii−i−i−iii−i−iii-1-111-1-111
χ211-1-1111-1-1-1111-111-1-1-1111-1-1-1-1111-1-11-1-1-11111-1-111-1-111-1-111-1-111-1-11-1-11-11-1−i−iii−i−iii11-1ii−i−i1-1ii−i−i11-1-1−ii−iiii−i−iii−i−i−i−iii−i−iii11-1-111-1-1-1-111-1-111i−ii−ii−ii−i−i−iii−i−iii-1-111-1-111
χ221-1-1111-1-1-1111-111-1-1-1111-1-1-1-1111-1-11-1-1-11111-1-111-1-111-1-111-1-111-1-11-1-11-11-1−i−iii−i−iii11-1−i−iii1-1−i−iii11-1-1−ii−ii−i−iii−i−iii−i−iii−i−iii11-1-111-1-111-1-111-1-1−ii−ii−ii−ii−i−iii−i−iii11-1-111-1-1
χ231-1-1111-1-1-1111-111-1-1-1111-1-1-1-1111-1-11-1-1-11111-1-111-1-111-1-111-1-111-1-11-1-11-11-1−i−iii−i−iii1-11ii−i−i-11ii−i−i-1-111−ii−ii−i−iii−i−iii−i−iii−i−iii-1-111-1-11111-1-111-1-1i−ii−i−ii−iiii−i−iii−i−i-1-111-1-111
χ241-1-1111-1-1-1111-111-1-1-1111-1-1-1-1111-1-11-1-1-11111-1-111-1-111-1-111-1-111-1-11-1-11-11-1−i−iii−i−iii1-11−i−iii-11−i−iii-1-111−ii−iiii−i−iii−i−i−i−iii−i−iii-1-111-1-111-1-111-1-111−ii−iii−ii−iii−i−iii−i−i11-1-111-1-1
χ251-1-1111-1-1-1111-1-1-11-11111-1-1-1-1111-1-1-1111-1-1-1-11111-1-1-1-11111-1-1-1-1111-111-1-1111-1-1-1-111-11-1ii−i−i1-1−i−iii-1-1111-1-11ii−i−i−i−iii11-1-1-1-11111-1-1-1-111−i−iiiii−i−ii−i−iii−i−ii11-1-1-1-111−i−iiiii−i−i
χ261-1-1111-1-1-1111-1-1-11-11111-1-1-1-1111-1-1-1111-1-1-1-11111-1-1-1-11111-1-1-1-1111-111-1-1111-1-1-1-111-11-1−i−iii1-1ii−i−i-1-1111-1-11−i−iiiii−i−i11-1-1-1-11111-1-1-1-111ii−i−i−i−iii−iii−i−iii−i11-1-1-1-111ii−i−i−i−iii
χ271-1-1111-1-1-1111-1-1-11-11111-1-1-1-1111-1-1-1111-1-1-1-11111-1-1-1-11111-1-1-1-1111-111-1-1111-1-1-1-111-1-11ii−i−i-11−i−iii11-1-11-1-11−i−iiiii−i−i11-1-1-1-111-1-11111-1-1ii−i−i−i−iiii−i−ii−iii−i-1-11111-1-1−i−iiiii−i−i
χ281-1-1111-1-1-1111-1-1-11-11111-1-1-1-1111-1-1-1111-1-1-1-11111-1-1-1-11111-1-1-1-1111-111-1-1111-1-1-1-111-1-11−i−iii-11ii−i−i11-1-11-1-11ii−i−i−i−iii11-1-1-1-111-1-11111-1-1−i−iiiii−i−i−iii−ii−i−ii-1-11111-1-1ii−i−i−i−iii
χ291-1-1111-1-1-1111-1-1-11-11111-1-1-1-1111-1-1-1111-1-1-1-11111-1-1-1-11111-1-1-1-1111-111-1-11-1-11111-1-1-11-1ii−i−i1-1−i−iii-1-111-111-1ii−i−i−i−iii-1-11111-1-111-1-1-1-111ii−i−i−i−iiii−i−iii−i−ii-1-11111-1-1ii−i−i−i−iii
χ301-1-1111-1-1-1111-1-1-11-11111-1-1-1-1111-1-1-1111-1-1-1-11111-1-1-1-11111-1-1-1-1111-111-1-11-1-11111-1-1-11-1−i−iii1-1ii−i−i-1-111-111-1−i−iiiii−i−i-1-11111-1-111-1-1-1-111−i−iiiii−i−i−iii−i−iii−i-1-11111-1-1−i−iiiii−i−i
χ311-1-1111-1-1-1111-1-1-11-11111-1-1-1-1111-1-1-1111-1-1-1-11111-1-1-1-11111-1-1-1-1111-111-1-11-1-11111-1-1-1-11ii−i−i-11−i−iii11-1-1-111-1−i−iiiii−i−i-1-11111-1-1-1-11111-1-1−i−iiiii−i−ii−i−ii−iii−i11-1-1-1-111ii−i−i−i−iii
χ321-1-1111-1-1-1111-1-1-11-11111-1-1-1-1111-1-1-1111-1-1-1-11111-1-1-1-11111-1-1-1-1111-111-1-11-1-11111-1-1-1-11−i−iii-11ii−i−i11-1-1-111-1ii−i−i−i−iii-1-11111-1-1-1-11111-1-1ii−i−i−i−iii−iii−ii−i−ii11-1-1-1-111−i−iiiii−i−i
χ3322222222222222222222222222222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-22-22-2222-2-2-2-20000000020022220022220000000000000000000000000000000000000000-2-2-2-200000000000000000000
χ3422222222222222222222222222222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-22-22-2222-2-2-2-200000000200-2-2-2-200-2-2-2-20000000000000000000000000000000000000000222200000000000000000000
χ3522222222222222222222222222-2-2-2-22222222222-2-2-2-2-2-2-2-22222-22-22-2-2-2-2-2-2-200000000-200000000000000000000222222220000000000000000000000000000-2-2-2-20000000000000000
χ3622222222222222222222222222-2-2-2-22222222222-2-2-2-2-2-2-2-22222-22-22-2-2-2-2-2-2-200000000-200000000000000000000-2-2-2-2-2-2-2-2000000000000000000000000000022220000000000000000
χ3722222222222222222222222222-2-2-2-222-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2222200000000-2220000220000222200000000000000000000-2-2-2-2-2-2-2-200000000000000000000000000000000
χ3822222222222222222222222222-2-2-2-222-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2222200000000-2-2-20000-2-20000-2-2-2-2000000000000000000002222222200000000000000000000000000000000
χ392222222222222-2-2-22-2222222222222-2-22222-2-2-2-2-2-2-2-22222-2-2-2-2-22-2222-2-2-22200000000-200222200-2-2-2-20000000000000000000000000000000000000000-2-22200000000000000000000
χ402222222222222-2-2-22-2222222222222-2-22222-2-2-2-2-2-2-2-22222-2-2-2-2-22-2222-2-2-22200000000-200-2-2-2-2002222000000000000000000000000000000000000000022-2-200000000000000000000
χ412222222222222-2-2-22-222222222-2-2-2-2-2-22222-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2222-2-2000000002220000220000-2-2-2-200000000000000000000-2-2-2-2222200000000000000000000000000000000
χ422222222222222-2-2-22-222222222-2-2-2-2-2-22222-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2222-2-2000000002-2-20000-2-200002222000000000000000000002222-2-2-2-200000000000000000000000000000000
χ432222222222222-2-2-22-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222222-22-2-2-22-2-222000000002000000000000000000002222-2-2-2-20000000000000000000000000000-2-2220000000000000000
χ442222222222222-2-2-22-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222222-22-2-2-22-2-22200000000200000000000000000000-2-2-2-22222000000000000000000000000000022-2-20000000000000000
χ452222222222-2-2-2222-222-2-222-2-222222-2-222222-22-2222222222-22-22-22-2-2-2-2-2-2-2-200000000-20000000000000000000000000000000000000000000000000000000000002-22-22-22-200000000
χ462222222222-2-2-2222-222-2-222-2-222222-2-222222-22-2222222222-22-22-22-2-2-2-2-2-2-2-200000000-2000000000000000000000000000000000000000000000000000000000000-22-22-22-2200000000
χ472222222222-2-2-2222-222-2-222-2-222222-2-2-2-2-2-22-22-2-2-2-2-2-2-2-2-2-22-222222-2-2-2222200000000-2000000000000000000000000000000000000000000002i−2i2i−2i2i−2i2i−2i000000000000000000000000
χ482222222222-2-2-2222-222-2-222-2-222222-2-2-2-2-2-22-22-2-2-2-2-2-2-2-2-2-22-222222-2-2-2222200000000-200000000000000000000000000000000000000000000−2i2i−2i2i−2i2i−2i2i000000000000000000000000
χ492222222222-2-2-2222-222-2-222-2-22-2-2-2-2-2-222222-22-2-2-2-2-2-2-2-2-22-22-2-2-2-2-22222222000000002000000000000000000000000000000000000000000000000000000000000000000002-22-22-22-2
χ502222222222-2-2-2222-222-2-222-2-22-2-2-2-2-2-222222-22-2-2-2-2-2-2-2-2-22-22-2-2-2-2-2222222200000000200000000000000000000000000000000000000000000000000000000000000000000-22-22-22-22
χ512222222222-2-2-2222-222-2-222-2-22-2-2-2-2-2-2-2-2-2-22-22-222222222-22-22-22-22222-2-2-2-22222222220000000000000000222200000000-2-2-2-2-2-2-2-20000000000000000000000000000000000000000
χ522222222222-2-2-2222-222-2-222-2-22-2-2-2-2-2-2-2-2-2-22-22-222222222-22-22-22-22222-2-2-2-2-2-2-2-2-2-2-2-220000000000000000-2-2-2-200000000222222220000000000000000000000000000000000000000
χ532222222222-2-2-2-2-2-2-2-22-2-222-2-222222222222-22-22-2-2-2-22222-22-22-2-2-2-2-2-2222-2-2000000002000000000000000000000000000000000000000000002-22-2-22-22000000000000000000000000
χ542222222222-2-2-2-2-2-2-2-22-2-222-2-222222222222-22-22-2-2-2-22222-22-22-2-2-2-2-2-2222-2-200000000200000000000000000000000000000000000000000000-22-222-22-2000000000000000000000000
χ552222222222-2-2-2-2-2-2-2-22-2-222-2-22222222-2-2-2-2-22-222222-2-2-2-22-22-2-22-22-2-22-2-2220000000020000000000000000000000000000000000000000000000000000000000002i−2i2i−2i−2i2i−2i2i00000000
χ562222222222-2-2-2-2-2-2-2-22-2-222-2-22222222-2-2-2-2-22-222222-2-2-2-22-22-2-22-22-2-22-2-222000000002000000000000000000000000000000000000000000000000000000000000−2i2i−2i2i2i−2i2i−2i00000000
χ572222222222-2-2-2-2-2-2-2-22-2-222-2-22-2-2-2-2222222-22-222222-2-2-2-2-22-222-22-222-2-2-2222i2i2i2i−2i−2i−2i−2i-200000000000000002i2i−2i−2i00000000−2i−2i−2i−2i2i2i2i2i0000000000000000000000000000000000000000
χ582222222222-2-2-2-2-2-2-2-22-2-222-2-22-2-2-2-2222222-22-222222-2-2-2-2-22-222-22-222-2-2-222−2i−2i−2i−2i2i2i2i2i-20000000000000000−2i−2i2i2i000000002i2i2i2i−2i−2i−2i−2i0000000000000000000000000000000000000000
χ592222222222-2-2-2-2-2-2-2-22-2-222-2-22-2-2-2-222-2-2-2-2-22-22-2-2-2-222222-22-2222222-222-2-200000000-2000000000000000000000000000000000000000000000000000000000000000000002i−2i2i−2i−2i2i−2i2i
χ602222222222-2-2-2-2-2-2-2-22-2-222-2-22-2-2-2-222-2-2-2-2-22-22-2-2-2-222222-22-2222222-222-2-200000000-200000000000000000000000000000000000000000000000000000000000000000000−2i2i−2i2i2i−2i2i−2i
χ612-2-2222-2-2-2222-222-2-2-2222-2-2-2-2222-2-22-222-2-222-2-2-2-222-2-222-2-2222-2-222-2-2-22-22000000002002i2i−2i−2i002i2i−2i−2i0000000000000000000000000000000000000000−2i2i−2i2i00000000000000000000
χ622-2-2222-2-2-2222-222-2-2-2222-2-2-2-2222-2-22-222-2-222-2-2-2-222-2-222-2-2222-2-222-2-2-22-2200000000200−2i−2i2i2i00−2i−2i2i2i00000000000000000000000000000000000000002i−2i2i−2i00000000000000000000
χ632-2-2222-2-2-2222-222-2-2-2222-2-2-2-22-2-2222-222-2-222-2-222-2-222-2-2-2-222-2-222-2222-22-200000000-22-200002-2000022-2-200000000000000000000-2-222-2-22200000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).