Finite Group Databasebeta

← Group #72266685

Character table — Group #72266685

Order 8192.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170
size1111222244444444488888888888888888888881616161616161616161616161616161616161616161616161616161616163232323232323232323232323232323232323232323232323232323232323232323232323232323264646464646464646464646464646464646464646464646464646464646464646464646464128128128128128128128128128128128128128128128128128128256256256256256256
order12222222222222222222222222222222222222222222222222222222244444444444422222224444444444444444444444444444444444444444444444444444444444444444444444444444444444444444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1
χ31111111111111111111111111111111111111111111111111-1-1-1-11111111111111111111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-111-1-111111111-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111-1-1-1-11111111111111111111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-11111
χ5111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-11111111-1-111111-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1
χ6111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-11111111-1-111111-1-111111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111
χ7111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111111-1-1-1-1-1-11-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111
χ8111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111111-1-1-1-1-1-11-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-11111-1-1111111111111-1-1-1-1
χ91111111111111111111111111111-1-1-1-11111111-1-1-1-1-1-111111111111111111111-1-1-1-111111-1-111111-1-1-1-111-1-1-1-11111-1-1-1-11111111111-1-1-11-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111111111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1
χ101111111111111111111111111111-1-1-1-11111111-1-1-1-1-1-111111111111111111111-1-1-1-111111-1-111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11-1-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111
χ111111111111111111111111111111-1-1-1-11111111-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1111-1-11111111-1-111-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-11-1-1-1-11111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111
χ121111111111111111111111111111-1-1-1-11111111-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1111-1-11111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1-11-1-1-1-11111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ131111111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-11-1-111-1-11-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111111111-1-1-11-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-111-1-111
χ141111111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-11-1-111-1-11-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11-11111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-111111111-1-1
χ151111111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11-1-1-1-1111-1-111-1-111-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-111-1-1-1-11111-1-111-1-1
χ161111111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11-1-1-1-1111-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1-111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-111
χ17111111111111111-1-111111111-1-1-11111111-1-1-1-111-1-1-1-111-1-1111111-1-1-1-111-1-111111111-11111-11-11-1-1-111-1-1111111111111iiii−i−i−i−i-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1ii−i−iii−i−iii−i−iii−i−iii−i−i1-111-1-1i−ii−iii−i−iii−i−i1-1i−ii−i
χ18111111111111111-1-111111111-1-1-11111111-1-1-1-111-1-1-1-111-1-1111111-1-1-1-111-1-111111111-11111-11-11-1-1-111-1-1111111111111−i−i−i−iiiii-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1−i−iii−i−iii−i−iii−i−iii−i−iii1-111-1-1−ii−ii−i−iii−i−iii1-1−ii−ii
χ19111111111111111-1-111111111-1-1-11111111-1-1-1-111-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-111111111-1-1-1-1-1-11-11-1-1-1-1-1111111-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-11-1-11111-1-111-1-11111ii−i−iii−i−iii−i−iii−i−iii−i−i1-1-1-111i−ii−i−i−iii−i−iii-11−ii−ii
χ20111111111111111-1-111111111-1-1-11111111-1-1-1-111-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-111111111-1-1-1-1-1-11-11-1-1-1-1-1111111-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-11-1-11111-1-111-1-11111−i−iii−i−iii−i−iii−i−iii−i−iii1-1-1-111−ii−iiii−i−iii−i−i-11i−ii−i
χ21111111111111111-1-111111111-1-1-11111111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1111111111-111111-1-111-1-1-111-1-1111111111111iiii−i−i−i−i-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1ii−i−i−i−iii−i−iiiii−i−i−i−iii-11-1-111i−i−iiii−i−iii−i−i-11−ii−ii
χ22111111111111111-1-111111111-1-1-11111111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1111111111-111111-1-111-1-1-111-1-1111111111111−i−i−i−iiiii-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1−i−iiiii−i−iii−i−i−i−iiiii−i−i-11-1-111−iii−i−i−iii−i−iii-11i−ii−i
χ23111111111111111-1-111111111-1-1-11111111-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1111111111-11-1-1-1-1-1-111-1-1-1-1-1111111-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-11-1-111-1-111-1-1111111ii−i−i−i−iii−i−iiiii−i−i−i−iii-1111-1-1i−i−ii−i−iii−i−iii1-1i−ii−i
χ24111111111111111-1-111111111-1-1-11111111-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1111111111-11-1-1-1-1-1-111-1-1-1-1-1111111-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-11-1-111-1-111-1-1111111−i−iiiii−i−iii−i−i−i−iiiii−i−i-1111-1-1−iii−iii−i−iii−i−i1-1−ii−ii
χ25111111111111111-1-111111111-1-1-1-1-1-1-1111-1-1-1-1-1-1111111-1-1111111-1-1-1-111-1-111-1-1-1-111-111-1-1-11-11-111-1-1-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−i-1-1111-11-1-11111-1-1-1-111−i−iiiii−i−i−i−iiiii−i−iii−i−i-1111-1-1−ii−iiii−i−i−i−iii-11i−i−ii
χ26111111111111111-1-111111111-1-1-1-1-1-1-1111-1-1-1-1-1-1111111-1-1111111-1-1-1-111-1-111-1-1-1-111-111-1-1-11-11-111-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii-1-1111-11-1-11111-1-1-1-111ii−i−i−i−iiiii−i−i−i−iii−i−iii-1111-1-1i−ii−i−i−iiiii−i−i-11−iii−i
χ27111111111111111-1-111111111-1-1-1-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-111-1-1-111-11-11-1111111-1-1-1-1-1-1-1-11111iiii−i−i−i−i-1-1-1111-1-1-11111-1-111-1-1−i−iiiii−i−i−i−iiiii−i−iii−i−i-11-1-111−ii−ii−i−iiiii−i−i1-1−iii−i
χ28111111111111111-1-111111111-1-1-1-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-111-1-1-111-11-11-1111111-1-1-1-1-1-1-1-11111−i−i−i−iiiii-1-1-1111-1-1-11111-1-111-1-1ii−i−i−i−iiiii−i−i−i−iii−i−iii-11-1-111i−ii−iii−i−i−i−iii1-1i−i−ii
χ29111111111111111-1-111111111-1-1-1-1-1-1-1111-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-11111-1-1-1-11-1111-1-1-1-111-111-1-1-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−i-1-1111-1111-1-1-1-111-1-111−i−iii−i−iiiii−i−iii−i−i−i−iii1-1-1-111−iii−iii−i−i−i−iii1-1−iii−i
χ30111111111111111-1-111111111-1-1-1-1-1-1-1111-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-11111-1-1-1-11-1111-1-1-1-111-111-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii-1-1111-1111-1-1-1-111-1-111ii−i−iii−i−i−i−iii−i−iiiii−i−i1-1-1-111i−i−ii−i−iiiii−i−i1-1i−i−ii
χ31111111111111111-1-111111111-1-1-1-1-1-1-1111-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11-11-1-111-1-111-1111111-1-1-1-1-1-1-1-11111iiii−i−i−i−i-1-1-1111-111-1-1-1-11111-1-1−i−iii−i−iiiii−i−iii−i−i−i−iii1-111-1-1−iii−i−i−iiiii−i−i-11i−i−ii
χ32111111111111111-1-111111111-1-1-1-1-1-1-1111-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11-11-1-111-1-111-1111111-1-1-1-1-1-1-1-11111−i−i−i−iiiii-1-1-1111-111-1-1-1-11111-1-1ii−i−iii−i−i−i−iii−i−iiiii−i−i1-111-1-1i−i−iiii−i−i−i−iii-11−iii−i
χ3322222222222222222222222-2-222222222-2-2222222222200000000-2-222-2-20000222222-2000000-200-22220000-2-2-2-20000000022222222-2-20-2-200000000000000222200000000-2-2-2-20000000000-2-20000000000000000
χ3422222222222222222222222-2-222222222-2-2222222222200000000-2-222-2-20000222222-2000000-200-22220000-2-2-2-200000000-2-2-2-2-2-2-2-2-2-20-2-200000000000000-2-2-2-20000000022220000000000220000000000000000
χ3522222222222222222222222-2-2222-2-2-2-22-2-22222-2-2-2-2-2-200000000-2-222-2-2000022-2-2-2-2-2000000-200-22-2-2000022220000000022222222-2-202200000000000000-2-2-2-200000000-2-2-2-20000000000220000000000000000
χ3622222222222222222222222-2-2222-2-2-2-22-2-22222-2-2-2-2-2-200000000-2-222-2-2000022-2-2-2-2-2000000-200-22-2-20000222200000000-2-2-2-2-2-2-2-2-2-20220000000000000022220000000022220000000000-2-20000000000000000
χ372222222222222222222-2-2-2-22222222222222222-2-222-2-22222000022-2-2222222-2-222-2-2-2220000222-2-22-2000022-2-20000000000000000-2-202-2002222-2-2-2-2000000000000000000000000-2-20000000000000000000000
χ382222222222222222222-2-2-2-22222222222222222-2-222-2-2-2-2-2-2000022-2-222-2-2-2-2-2-222-2-2-2-2-200002-2-2-2-22-2000022-2-20000000000000000-2-202-200-2-2-2-22222000000000000000000000000220000000000000000000000
χ392222222222222222222-2-2-2-222222-2-2-2-2222222222-2-2222222000022-2-2222222-2-2-2-222-2220000222-2-2-220000-2-2220000000000000000-2-20-2200-2-2-2-2-2-2-2-2000000000000000000000000220000000000000000000000
χ402222222222222222222-2-2-2-222222-2-2-2-2222222222-2-222-2-2-2-2000022-2-222-2-2-2-2-2-2-2-222-2-2-200002-2-2-2-2-220000-2-2220000000000000000-2-20-220022222222000000000000000000000000-2-20000000000000000000000
χ412222222222222222222-2-2-2-2-2-222222222-2-22222-2-222-2-200000000-2-2-2-2-2-20000-2-222-2-22000000-2002-22-20000-2-2220000000000000000220-22000000000000000000222222220000-2-2-2-200000000-2-200000000000000
χ422222222222222222222-2-2-2-2-2-222222222-2-22222-2-222-2-200000000-2-2-2-2-2-20000-2-222-2-22000000-2002-22-20000-2-2220000000000000000220-22000000000000000000-2-2-2-2-2-2-2-200002222000000002200000000000000
χ432222222222222222222-2-2-2-2-2-2222-2-2-2-22-2-2222222-2-22200000000-2-2-2-2-2-20000-2-2-2-2222000000-2002-2-22000022-2-200000000000000002202-20000000000000000002222-2-2-2-20000-2-2-2-2000000002200000000000000
χ442222222222222222222-2-2-2-2-2-2222-2-2-2-22-2-2222222-2-22200000000-2-2-2-2-2-20000-2-2-2-2222000000-2002-2-22000022-2-200000000000000002202-2000000000000000000-2-2-2-222220000222200000000-2-200000000000000
χ45222222222222222-2-2222222-2-2-2-2-222222-2-2-2-2-2-222-2-2-2-200000000-2-2-2-2220000222222-2000000200-2-2-2-20000-2-2-2-2000000002i2i2i2i−2i−2i−2i−2i22022000000000000002i2i−2i−2i00000000−2i−2i2i2i0000000000−2i2i0000000000000000
χ46222222222222222-2-2222222-2-2-2-2-222222-2-2-2-2-2-222-2-2-2-200000000-2-2-2-2220000222222-2000000200-2-2-2-20000-2-2-2-200000000−2i−2i−2i−2i2i2i2i2i2202200000000000000−2i−2i2i2i000000002i2i−2i−2i00000000002i−2i0000000000000000
χ47222222222222222-2-2222222-2-2-2-2-2-2-2-2-22-2-2-2-2-2-2-2-2222200000000-2-2-2-222000022-2-2-2-2-2000000200-2-22200002222000000002i2i2i2i−2i−2i−2i−2i220-2-200000000000000−2i−2i2i2i00000000−2i−2i2i2i00000000002i−2i0000000000000000
χ48222222222222222-2-2222222-2-2-2-2-2-2-2-2-22-2-2-2-2-2-2-2-2222200000000-2-2-2-222000022-2-2-2-2-2000000200-2-2220000222200000000−2i−2i−2i−2i2i2i2i2i220-2-2000000000000002i2i−2i−2i000000002i2i−2i−2i0000000000−2i2i0000000000000000
χ49222222222222222-2-222-2-2-2-222-2-2-22222222-2-2-2-2-2-2-2-22222-2-200002222-2-222-2-2-2-222-2-2-22-20000-22-2-22-22000022-2-20000000000000000220-220022-2-2-2-222000000000000000000000000-220000000000000000000000
χ50222222222222222-2-222-2-2-2-222-2-2-22222222-2-2-2-2-2-2-2-222-2-22200002222-2-2-2-222-2-222-2-2-2-220000-2-22-22-22000022-2-20000000000000000220-2200-2-22222-2-20000000000000000000000002-20000000000000000000000
χ51222222222222222-2-222-2-2-2-222-2-2-2-2-2-2-2222-2-2-2-22222-2-222-2-200002222-2-222-2-2-2-2-2-222-22-20000-22-2-222-20000-2-22200000000000000002202-200-2-222-2-2220000000000000000000000002-20000000000000000000000
χ52222222222222222-2-222-2-2-2-222-2-2-2-2-2-2-2222-2-2-2-22222-2-2-2-22200002222-2-2-2-222-2-2-2-222-2-220000-2-22-222-20000-2-22200000000000000002202-20022-2-222-2-2000000000000000000000000-220000000000000000000000
χ53222222222222222-2-222-2-2-2-2-2-2-2-2-222222-2-2-2-2-2-2-2-2-2-22200000000-2-222220000-2-222-2-2200000020022-220000-2-2220000000000000000-2-202-20000000000000000002i2i−2i−2i2i2i−2i−2i0000−2i−2i2i2i00000000−2i2i00000000000000
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Here i is the imaginary unit (i² = −1).