Finite Group Databasebeta

← Group #72259029

Character table — Group #72259029

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164
size111122222222222222222222222222444444444444444444444444448888888888888888888888888888888888888888888816161616161616161616161616161616161616161616161616161616161616163232323232323232323232323232323232323232323232323232323232323232
order12222222222222222222222222222222222222222222222222222222222222222222222222224444444444444444444444442222224444444444444444444444444444444444444444444444444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ611111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ711111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ811111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ911111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ1011111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ1111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ1211111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ1311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-11111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ1411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111
χ1511111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1111111111111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ1611111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ17111111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111111111-1-111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111ii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−i
χ18111111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111111111-1-111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii
χ19111111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-111111111-1-1-1-1ii−i−iii−i−i−i−iii−i−iiiii−i−iii−i−i−i−iii−i−iii
χ20111111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-111111111-1-1-1-1−i−iii−i−iiiii−i−iii−i−i−i−iii−i−iiiii−i−iii−i−i
χ21111111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111111111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1ii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iii
χ22111111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111111111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i
χ23111111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111111111ii−i−i−i−iii−i−iiiii−i−iii−i−i−i−iii−i−iiiii−i−i
χ24111111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111111111−i−iiiii−i−iii−i−i−i−iii−i−iiiii−i−iii−i−i−i−iii
χ25111111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-1ii−i−i−i−iiiii−i−i−i−iii−i−iiiii−i−i−i−iiiii−i−i
χ26111111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-1−i−iiiii−i−i−i−iiiii−i−iii−i−i−i−iiiii−i−i−i−iii
χ27111111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-111111111-1-111-1-1-1-1-1-1-1-1-1-11111ii−i−i−i−iii−i−iiiii−i−i−i−iiiii−i−iii−i−i−i−iii
χ28111111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-111111111-1-111-1-1-1-1-1-1-1-1-1-11111−i−iiiii−i−iii−i−i−i−iiiii−i−i−i−iii−i−iiiii−i−i
χ29111111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111ii−i−iii−i−iii−i−iii−i−i−i−iii−i−iii−i−iii−i−iii
χ30111111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111−i−iii−i−iii−i−iii−i−iiiii−i−iii−i−iii−i−iii−i−i
χ31111111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1ii−i−iii−i−i−i−iii−i−iii−i−iii−i−iiiii−i−iii−i−i
χ32111111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1−i−iii−i−iiiii−i−iii−i−iii−i−iii−i−i−i−iii−i−iii
χ332222222222222222-2-2-2-222222-2-2-2-22-2-2-2-2-2-22222-2-2-2-22222-2-2-2-222-2-222-2-22222-2-2-2-2000022-2-200000000000022-2-22222-2-2-2-2002-20000000000002-200000022-2-2000000000000000000000000000000000000
χ342222222222222222-2-2-2-222222-2-2-2-22-2-2-2-2-2-22222-2-2-2-22222-2-2-2-222-2-222-2-22222-2-2-2-20000-2-222000000000000-2-222-2-2-2-2222200-22000000000000-22000000-2-222000000000000000000000000000000000000
χ352222222222222222-2-2-2-222222-2-2-2-22-2-2-2-2-2-22222-2-2-2-2-2-2-2-2222222-2-2-2-222-2-2-2-22222000022-2-200000000000022-2-2-2-2-2-22222002-20000000000002-2000000-2-222000000000000000000000000000000000000
χ362222222222222222-2-2-2-222222-2-2-2-22-2-2-2-2-2-22222-2-2-2-2-2-2-2-2222222-2-2-2-222-2-2-2-222220000-2-222000000000000-2-2222222-2-2-2-200-22000000000000-2200000022-2-2000000000000000000000000000000000000
χ372222222222222222-2-2-2-22-2-2-2-222222-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-22222-2-2-2-2-2-22222000022-2-200000000000022-2-22222-2-2-2-200-22000000000000-22000000-2-222000000000000000000000000000000000000
χ382222222222222222-2-2-2-22-2-2-2-222222-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-22222-2-2-2-2-2-222220000-2-222000000000000-2-222-2-2-2-22222002-20000000000002-200000022-2-2000000000000000000000000000000000000
χ392222222222222222-2-2-2-22-2-2-2-222222-2-2-2-2-2-2-2-2-2-22222-2-2-2-22222-2-222-2-2222222-2-2-2-2000022-2-200000000000022-2-2-2-2-2-2222200-22000000000000-2200000022-2-2000000000000000000000000000000000000
χ402222222222222222-2-2-2-22-2-2-2-222222-2-2-2-2-2-2-2-2-2-22222-2-2-2-22222-2-222-2-2222222-2-2-2-20000-2-222000000000000-2-2222222-2-2-2-2002-20000000000002-2000000-2-222000000000000000000000000000000000000
χ412222222222-2-2-2-2-2-222-2-2-2222222-2-2-2222-2-2-22-2-2-22-2-2-2000000002-22200000000000022-2-200002222-2-2-2-222-2-200000000000000000000000000000000000000000000000000002-22-200000000000000002-22-2
χ422222222222-2-2-2-2-2-222-2-2-2222222-2-2-2222-2-2-22-2-2-22-2-2-2000000002-22200000000000022-2-200002222-2-2-2-222-2-20000000000000000000000000000000000000000000000000000-22-220000000000000000-22-22
χ432222222222-2-2-2-2-2-222-2-2-2222222-2-2-2222-2-2-22-2-2-22-2-2-2000000002-222000000000000-2-2220000-2-2-2-22222-2-22200000000000000000000000000000000000000000000000000002-22-20000000000000000-22-22
χ442222222222-2-2-2-2-2-222-2-2-2222222-2-2-2222-2-2-22-2-2-22-2-2-2000000002-222000000000000-2-2220000-2-2-2-22222-2-2220000000000000000000000000000000000000000000000000000-22-2200000000000000002-22-2
χ452222222222-2-2-2-2-2-222-2-2-2-2-2-2-2-2-222-2222-2-2-2-2222-222200000000-22-2-200000000000022-2-20000-2-2-2-2222222-2-200000000000000000000000000000000000000000000000000002i−2i−2i2i00000000000000002i−2i−2i2i
χ462222222222-2-2-2-2-2-222-2-2-2-2-2-2-2-2-222-2222-2-2-2-2222-222200000000-22-2-200000000000022-2-20000-2-2-2-2222222-2-20000000000000000000000000000000000000000000000000000−2i2i2i−2i0000000000000000−2i2i2i−2i
χ472222222222-2-2-2-2-2-222-2-2-2-2-2-2-2-2-222-2222-2-2-2-2222-222200000000-22-2-2000000000000-2-22200002222-2-2-2-2-2-22200000000000000000000000000000000000000000000000000002i−2i−2i2i0000000000000000−2i2i2i−2i
χ482222222222-2-2-2-2-2-222-2-2-2-2-2-2-2-2-222-2222-2-2-2-2222-222200000000-22-2-2000000000000-2-22200002222-2-2-2-2-2-2220000000000000000000000000000000000000000000000000000−2i2i2i−2i00000000000000002i−2i−2i2i
χ49222222-2-2-2-22222-2-222-2-2-222-2-22222-22-2-222-2-22-2-2-22-2-200000000222-200000000000022-2-2000022-2-222-2-2-2-222000000000000000000000000000000000000000000000000000000002-22-2000000002-22-20000
χ50222222-2-2-2-22222-2-222-2-2-222-2-22222-22-2-222-2-22-2-2-22-2-200000000222-200000000000022-2-2000022-2-222-2-2-2-22200000000000000000000000000000000000000000000000000000000-22-2200000000-22-220000
χ51222222-2-2-2-22222-2-222-2-2-222-2-22222-22-2-222-2-22-2-2-22-2-200000000222-2000000000000-2-2220000-2-222-2-22222-2-2000000000000000000000000000000000000000000000000000000002-22-200000000-22-220000
χ52222222-2-2-2-22222-2-222-2-2-222-2-22222-22-2-222-2-22-2-2-22-2-200000000222-2000000000000-2-2220000-2-222-2-22222-2-200000000000000000000000000000000000000000000000000000000-22-22000000002-22-20000
χ53222222-2-2-2-22222-2-222-2-2-2-2-222-2-2-2-2-22-2-222-22-2222-22200000000-2-2-2200000000000022-2-20000-2-222-2-222-2-222000000000000000000000000000000000000000000000000000000002i−2i−2i2i000000002i−2i−2i2i0000
χ54222222-2-2-2-22222-2-222-2-2-2-2-222-2-2-2-2-22-2-222-22-2222-22200000000-2-2-2200000000000022-2-20000-2-222-2-222-2-22200000000000000000000000000000000000000000000000000000000−2i2i2i−2i00000000−2i2i2i−2i0000
χ55222222-2-2-2-22222-2-222-2-2-2-2-222-2-2-2-2-22-2-222-22-2222-22200000000-2-2-22000000000000-2-222000022-2-222-2-222-2-2000000000000000000000000000000000000000000000000000000002i−2i−2i2i00000000−2i2i2i−2i0000
χ56222222-2-2-2-22222-2-222-2-2-2-2-222-2-2-2-2-22-2-222-22-2222-22200000000-2-2-22000000000000-2-222000022-2-222-2-222-2-200000000000000000000000000000000000000000000000000000000−2i2i2i−2i000000002i−2i−2i2i0000
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χ1608-88-8000000000000-88000-88008-800000000000000000-444-44-4-44000000004-400-4400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1618-8-888-88-88-8-88-88-880000800000000-800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1628-8-888-8-88-888-88-8-880000800000000-800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1638-8-88-888-8-888-8-888-80000800000000-800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1648-8-88-88-888-8-888-88-80000800000000-800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).