Finite Group Databasebeta

← Group #72226950

Character table — Group #72226950

Order 4096.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166
size1122222222222444444444444444444444444444444448888888888888888888881616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616163232323232323232323232323232323232323232323232323232646464646464646464646464646464646464128128128128128128128128
order12222444488884488888888888888161616161616161616161616161616164888816161616161616163232323232323232224416161616161616161616161616161616323232323232323232323232323232323232323232323232323232324444448888888816161616323232323232323216161616161632323232323232323232323222244488
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-11111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ41111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ5111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111111111111111111111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ7111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ8111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-11111
χ91111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-11-1-11-1-111
χ101111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-111-111-1-1
χ111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-11111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-111-1-1-111
χ121111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-111111111-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11-1-1111-1-1
χ131111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-111-111-1-1
χ141111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-111111-1-11-1-111
χ151111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-111-1-11111-1-1-1-111111-1-1111-1-1
χ161111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-11111111111-1-1-1-1-111-1-1-111
χ17111-1-111-1-1111111-11111111111-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-111-1-111-1-11111-1-1-1-11-11-1iiiiiiii−i−i−i−i−i−i−i−i11-1-1iiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−ii−ii−ii−i1-1i−ii−ii−i11-1-11111-1-1-1-1i−ii−ii−iii−i−i11-1-111-1-111-1-1i−ii−i
χ18111-1-111-1-1111111-11111111111-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-111-1-111-1-11111-1-1-1-11-11-1iiiiiiii−i−i−i−i−i−i−i−i11-1-1iiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−ii−i−ii−ii1-1i−i−ii−ii11-1-11111-1-1-1-1i−i−ii−iiii−i−i-1-111-1-111-1-111−ii−ii
χ19111-1-111-1-1111111-11111111111-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-111-1-111-1-11111-1-1-1-11-11-1−i−i−i−i−i−i−i−iiiiiiiii11-1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii−iii−ii−i1-1−iii−ii−i11-1-11111-1-1-1-1−iii−ii−i−i−iii-1-111-1-111-1-111i−ii−i
χ20111-1-111-1-1111111-11111111111-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-111-1-111-1-11111-1-1-1-11-11-1−i−i−i−i−i−i−i−iiiiiiiii11-1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii−ii−ii−ii1-1−ii−ii−ii11-1-11111-1-1-1-1−ii−ii−ii−i−iii11-1-111-1-111-1-1−ii−ii
χ21111-1-111-1-1111111-11111111111-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-111-1-111-1-11111-1-1-1-1-11-11iiiiiiii−i−i−i−i−i−i−i−i11-1-1iiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i−iii−ii−i-11−iii−ii−i-1-111-1-1-1-11111−iii−ii−i−i−iii11-1-111-1-1-1-111−ii−ii
χ22111-1-111-1-1111111-11111111111-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-111-1-111-1-11111-1-1-1-1-11-11iiiiiiii−i−i−i−i−i−i−i−i11-1-1iiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i−ii−ii−ii-11−ii−ii−ii-1-111-1-1-1-11111−ii−ii−ii−i−iii-1-111-1-11111-1-1i−ii−i
χ23111-1-111-1-1111111-11111111111-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-111-1-111-1-11111-1-1-1-1-11-11−i−i−i−i−i−i−i−iiiiiiiii11-1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiiii−ii−ii−i-11i−ii−ii−i-1-111-1-1-1-11111i−ii−ii−iii−i−i-1-111-1-11111-1-1−ii−ii
χ24111-1-111-1-1111111-11111111111-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-111-1-111-1-11111-1-1-1-1-11-11−i−i−i−i−i−i−i−iiiiiiiii11-1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiiii−i−ii−ii-11i−i−ii−ii-1-111-1-1-1-11111i−i−ii−iiii−i−i11-1-111-1-1-1-111i−ii−i
χ25111-1-111-1-1111111-11111111111-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-111-1-111-1-1-1-1-1-111111-11-1iiiiiiii−i−i−i−i−i−i−i−i-1-111−i−i−i−iiiii-1-1-1-11111−i−i−i−iiiii−iii−i−ii1-1−ii−iii−i11-1-1-1-1-1-11111−iii−i−iiii−i−i11-1-1-1-1111-11-1−iii−i
χ26111-1-111-1-1111111-11111111111-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-111-1-111-1-1-1-1-1-111111-11-1iiiiiiii−i−i−i−i−i−i−i−i-1-111−i−i−i−iiiii-1-1-1-11111−i−i−i−iiiii−ii−iii−i1-1−iii−i−ii11-1-1-1-1-1-11111−ii−iii−iii−i−i-1-11111-1-1-11-11i−i−ii
χ27111-1-111-1-1111111-11111111111-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-111-1-111-1-1-1-1-1-111111-11-1−i−i−i−i−i−i−i−iiiiiiiii-1-111iiii−i−i−i−i-1-1-1-11111iiii−i−i−i−ii−ii−i−ii1-1i−i−iii−i11-1-1-1-1-1-11111i−ii−i−ii−i−iii-1-11111-1-1-11-11−iii−i
χ28111-1-111-1-1111111-11111111111-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-111-1-111-1-1-1-1-1-111111-11-1−i−i−i−i−i−i−i−iiiiiiiii-1-111iiii−i−i−i−i-1-1-1-11111iiii−i−i−i−ii−i−iii−i1-1i−ii−i−ii11-1-1-1-1-1-11111i−i−iii−i−i−iii11-1-1-1-1111-11-1i−i−ii
χ29111-1-111-1-1111111-11111111111-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-111-1-111-1-1-1-1-1-11111-11-11iiiiiiii−i−i−i−i−i−i−i−i-1-111−i−i−i−iiiii-1-1-1-11111−i−i−i−iiiiii−ii−i−ii-11i−i−iii−i-1-1111111-1-1-1-1i−ii−i−ii−i−iii11-1-1-1-111-11-11i−i−ii
χ30111-1-111-1-1111111-11111111111-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-111-1-111-1-1-1-1-1-11111-11-11iiiiiiii−i−i−i−i−i−i−i−i-1-111−i−i−i−iiiii-1-1-1-11111−i−i−i−iiiiii−i−iii−i-11i−ii−i−ii-1-1111111-1-1-1-1i−i−iii−i−i−iii-1-11111-1-11-11-1−iii−i
χ31111-1-111-1-1111111-11111111111-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-111-1-111-1-1-1-1-1-11111-11-11−i−i−i−i−i−i−i−iiiiiiiii-1-111iiii−i−i−i−i-1-1-1-11111iiii−i−i−i−i−iii−i−ii-11−ii−iii−i-1-1111111-1-1-1-1−iii−i−iiii−i−i-1-11111-1-11-11-1i−i−ii
χ32111-1-111-1-1111111-11111111111-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-111-1-111-1-1-1-1-1-11111-11-11−i−i−i−i−i−i−i−iiiiiiiii-1-111iiii−i−i−i−i-1-1-1-11111iiii−i−i−i−i−ii−iii−i-11−iii−i−ii-1-1111111-1-1-1-1−ii−iii−iii−i−i11-1-1-1-111-11-11−iii−i
χ332222222222222222-2-2-2-2-2-2-2-22222222-2-22222-2-2-2-2-2-2222-2-2-2-222-2-2-2-222000000002222000000000000000000002222222200000000-2-2-2-2-2-2-2-222000022220000-2-2-2-200000000-2-2000000000000000000000000
χ342222222222222222-2-2-2-2-2-2-2-22222222-2-22222-2-2-2-2-2-2222-2-2-2-222-2-2-2-22200000000222200000000000000000000-2-2-2-2-2-2-2-20000000022222222-2-2000022-2-20000-2-2-2-20000000022000000000000000000000000
χ352222222222222222-2-2-2-2-2-2-2-22222222-2-22222-2-2-2-2-2-2222-2-2-2-222-2-2-2-22200000000-2-2-2-2000000000000000000002222222200000000-2-2-2-2-2-2-2-2-2-20000-2-2-2-2000022220000000022000000000000000000000000
χ362222222222222222-2-2-2-2-2-2-2-22222222-2-22222-2-2-2-2-2-2222-2-2-2-222-2-2-2-22200000000-2-2-2-200000000000000000000-2-2-2-2-2-2-2-20000000022222222220000-2-2220000222200000000-2-2000000000000000000000000
χ372222222222222222-2-2-2-2-2-2-2-222222-2-222-2-2-2-2222222-2-22-2-2-2-2-2-22222-2-22222222200000000000000000000222200000000-2-2-2-2-2-2-2-2000000000022220000222200000000000000-2-2-2-200000000000000000000
χ382222222222222222-2-2-2-2-2-2-2-222222-2-222-2-2-2-2222222-2-22-2-2-2-2-2-22222-2-22222222200000000000000000000222200000000-2-2-2-2-2-2-2-20000000000-2-2-2-20000-2-2-2-200000000000000222200000000000000000000
χ392222222222222222-2-2-2-2-2-2-2-222222-2-222-2-2-2-2222222-2-22-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-200000000000000000000-2-2-2-20000000022222222000000000022-2-20000-2-22200000000000000-2-22200000000000000000000
χ402222222222222222-2-2-2-2-2-2-2-222222-2-222-2-2-2-2222222-2-22-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-200000000000000000000-2-2-2-200000000222222220000000000-2-222000022-2-20000000000000022-2-200000000000000000000
χ4122222222222-2-2-2-2-2000000002-222-22200222200000022-20000-2-20000-2-222−2−222−2−222222222−2−2−2−22222−2−2−2−22−22−222-2-222-2-222−2−222−2−200000000220000-2-2-2-20000000022−2−222−2−20000002−22−20000000000000000
χ4222222222222-2-2-2-2-2000000002-222-22200222200000022-20000-2-20000-2-222−2−222−2−22222−2−2−2−22222−2−2−2−222222−22−2-2-222-2-22222−2−222−2−200000000-2-20000-2-2220000000022−2−222−2−2000000−22−220000000000000000
χ4322222222222-2-2-2-2-2000000002-222-22200222200000022-20000-2-20000-2-222−2−222−2−2-2-2-2-22222−2−2−2−22222−2−2−2−22−22−222-2-222-2-222−2−222−2−200000000-2-20000222200000000−2−222−2−222000000−22−220000000000000000
χ4422222222222-2-2-2-2-2000000002-222-22200222200000022-20000-2-20000-2-222−2−222−2−2-2-2-2-2−2−2−2−22222−2−2−2−222222−22−2-2-222-2-22222−2−222−2−20000000022000022-2-200000000−2−222−2−2220000002−22−20000000000000000
χ4522222222222-2-2-2-2-2000000002-222-22200222200000022-20000-2-20000-2-2−2−222−2−22222222222−2−2−2−22222−2−2−2−2−22−22-2-222-2-222−2−222−2−22200000000-2-20000-2-22200000000−2−222−2−2220000002−22−20000000000000000
χ4622222222222-2-2-2-2-2000000002-222-22200222200000022-20000-2-20000-2-2−2−222−2−2222222−2−2−2−22222−2−2−2−22222−22−2222-2-222-2-2−2−222−2−22200000000220000-2-2-2-200000000−2−222−2−222000000−22−220000000000000000
χ4722222222222-2-2-2-2-2000000002-222-22200222200000022-20000-2-20000-2-2−2−222−2−222-2-2-2-22222−2−2−2−22222−2−2−2−2−22−22-2-222-2-222−2−222−2−2220000000022000022-2-20000000022−2−222−2−2000000−22−220000000000000000
χ4822222222222-2-2-2-2-2000000002-222-22200222200000022-20000-2-20000-2-2−2−222−2−222-2-2-2-2−2−2−2−22222−2−2−2−22222−22−2222-2-222-2-2−2−222−2−22200000000-2-2000022220000000022−2−222−2−20000002−22−20000000000000000
χ49222222222-2-222-2-2200000000-22-2-220022000022222200-2000000-2-2-2-20022222222000022−2−222−2−222−2−222−2−2-2-2-2-22−22−22−22−20000000022−2−222−2−20022-2-2000022-2-200000000000000000000002−22−22−22−200000000
χ50222222222-2-222-2-2200000000-22-2-220022000022222200-2000000-2-2-2-20022222222000022−2−222−2−222−2−222−2−2-2-2-2-22−22−22−22−20000000022−2−222−2−200-2-2220000-2-2220000000000000000000000−22−22−22−2200000000
χ51222222222-2-222-2-2200000000-22-2-220022000022222200-2000000-2-2-2-200222222220000−2−222−2−222−2−222−2−222-2-2-2-2−22−22−22−2200000000−2−222−2−2220022-2-2000022-2-20000000000000000000000−22−22−22−2200000000
χ52222222222-2-222-2-2200000000-22-2-220022000022222200-2000000-2-2-2-200222222220000−2−222−2−222−2−222−2−222-2-2-2-2−22−22−22−2200000000−2−222−2−22200-2-2220000-2-22200000000000000000000002−22−22−22−200000000
χ53222222222-2-222-2-2200000000-22-2-220022000022222200-2000000-2-2-2-200-2-2-2-2-2-2-2-2000022−2−222−2−222−2−222−2−22222−22−22−22−2200000000−2−222−2−2220022220000-2-2-2-200000000000000000000002−22−2−22−2200000000
χ54222222222-2-222-2-2200000000-22-2-220022000022222200-2000000-2-2-2-200-2-2-2-2-2-2-2-2000022−2−222−2−222−2−222−2−22222−22−22−22−2200000000−2−222−2−22200-2-2-2-2000022220000000000000000000000−22−222−22−200000000
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Here ζ is a primitive root of unity of order 16 (ζ16 = 1); i = ζ4.