Finite Group Databasebeta

← Group #6373919

Character table — Group #6373919

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176
size11111111222222222222222222222222222288888888111111112222222222222222222222222222888888881111111122222222222222222222222222228888888811111111222222222222222222222222222288888888
order12224444224444444444888888888888888844444444444444444444444444448888888888888888444444442222444422444444444488888888888888884444444444444444444444444444888888888888888844444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-1
χ611111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-111
χ711111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-11111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-11111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-11111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-111
χ811111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-1
χ91111-1-1-1-111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-11-11-11-11-11111-1-1-1-111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-11-11-11-11-11111-1-1-1-111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-11-11-11-11-11111-1-1-1-111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-11-11-11-11-1
χ101111-1-1-1-111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-11-11-11-111111-1-1-1-111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-11-11-11-111111-1-1-1-111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-11-11-11-111111-1-1-1-111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-11-11-11-11
χ111111-1-1-1-111-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111-11-1-11-111111-1-1-1-111-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111-11-1-11-111111-1-1-1-111-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111-11-1-11-111111-1-1-1-111-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111-11-1-11-11
χ121111-1-1-1-111-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-11-111-11-11111-1-1-1-111-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-11-111-11-11111-1-1-1-111-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-11-111-11-11111-1-1-1-111-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-11-111-11-1
χ131111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-111-1-111111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-111-1-111111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-111-1-111111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-111-1-11
χ141111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-111-1-111-11111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-111-1-111-11111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-111-1-111-11111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-111-1-111-1
χ151111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-11-1-11-111-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-11-1-11-111-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-11-1-11-111-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-11-1-11-111-1
χ161111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-111-11-1-111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-111-11-1-111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-111-11-1-111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-111-11-1-11
χ17222222222222-2-2-2-2-2-2-2-2000000000000000000000000222222222222-2-2-2-2-2-2-2-2000000000000000000000000222222222222-2-2-2-2-2-2-2-2000000000000000000000000222222222222-2-2-2-2-2-2-2-2000000000000000000000000
χ1822222222-2-2-2-2-2-22222-2-200000000000000000000000022222222-2-2-2-2-2-22222-2-200000000000000000000000022222222-2-2-2-2-2-22222-2-200000000000000000000000022222222-2-2-2-2-2-22222-2-2000000000000000000000000
χ192222-2-2-2-222-2-222-2-222-2-20000000000000000000000002222-2-2-2-222-2-222-2-222-2-20000000000000000000000002222-2-2-2-222-2-222-2-222-2-20000000000000000000000002222-2-2-2-222-2-222-2-222-2-2000000000000000000000000
χ202222-2-2-2-2-2-2222222-2-2-2-20000000000000000000000002222-2-2-2-2-2-2222222-2-2-2-20000000000000000000000002222-2-2-2-2-2-2222222-2-2-2-20000000000000000000000002222-2-2-2-2-2-2222222-2-2-2-2000000000000000000000000
χ2122-2-222-2-22-22-20000000022−2−222−2−222−2−222−2−20000000022-2-222-2-22-22-20000000022−2−222−2−222−2−222−2−20000000022-2-222-2-22-22-20000000022−2−222−2−222−2−222−2−20000000022-2-222-2-22-22-20000000022−2−222−2−222−2−222−2−200000000
χ2222-2-222-2-22-22-200000000−2−222−2−222−2−222−2−2220000000022-2-222-2-22-22-200000000−2−222−2−222−2−222−2−2220000000022-2-222-2-22-22-200000000−2−222−2−222−2−222−2−2220000000022-2-222-2-22-22-200000000−2−222−2−222−2−222−2−22200000000
χ2322-2-222-2-2-22-220000000022−2−222−2−2−2−222−2−2220000000022-2-222-2-2-22-220000000022−2−222−2−2−2−222−2−2220000000022-2-222-2-2-22-220000000022−2−222−2−2−2−222−2−2220000000022-2-222-2-2-22-220000000022−2−222−2−2−2−222−2−22200000000
χ2422-2-222-2-2-22-2200000000−2−222−2−22222−2−222−2−20000000022-2-222-2-2-22-2200000000−2−222−2−22222−2−222−2−20000000022-2-222-2-2-22-2200000000−2−222−2−22222−2−222−2−20000000022-2-222-2-2-22-2200000000−2−222−2−22222−2−222−2−200000000
χ2522-2-2-2-2222-2-220000000022−2−2−2−22222−2−2−2−2220000000022-2-2-2-2222-2-220000000022−2−2−2−22222−2−2−2−2220000000022-2-2-2-2222-2-220000000022−2−2−2−22222−2−2−2−2220000000022-2-2-2-2222-2-220000000022−2−2−2−22222−2−2−2−22200000000
χ2622-2-2-2-2222-2-2200000000−2−22222−2−2−2−22222−2−20000000022-2-2-2-2222-2-2200000000−2−22222−2−2−2−22222−2−20000000022-2-2-2-2222-2-2200000000−2−22222−2−2−2−22222−2−20000000022-2-2-2-2222-2-2200000000−2−22222−2−2−2−22222−2−200000000
χ2722-2-2-2-222-222-20000000022−2−2−2−222−2−22222−2−20000000022-2-2-2-222-222-20000000022−2−2−2−222−2−22222−2−20000000022-2-2-2-222-222-20000000022−2−2−2−222−2−22222−2−20000000022-2-2-2-222-222-20000000022−2−2−2−222−2−22222−2−200000000
χ2822-2-2-2-222-222-200000000−2−22222−2−222−2−2−2−2220000000022-2-2-2-222-222-200000000−2−22222−2−222−2−2−2−2220000000022-2-2-2-222-222-200000000−2−22222−2−222−2−2−2−2220000000022-2-2-2-222-222-200000000−2−22222−2−222−2−2−2−22200000000
χ292-22-22i−2i2i−2i0000002i−2i2-200i2−i2i2−i22−22−22−22−2i2−i2i2−i2000000002-22-22i−2i2i−2i0000002i−2i2-200i2−i2i2−i22−22−22−22−2i2−i2i2−i2000000002-22-22i−2i2i−2i0000002i−2i2-200i2−i2i2−i22−22−22−22−2i2−i2i2−i2000000002-22-22i−2i2i−2i0000002i−2i2-200i2−i2i2−i22−22−22−22−2i2−i2i2−i200000000
χ302-22-22i−2i2i−2i0000002i−2i2-200−i2i2−i2i2−22−22−22−22−i2i2−i2i2000000002-22-22i−2i2i−2i0000002i−2i2-200−i2i2−i2i2−22−22−22−22−i2i2−i2i2000000002-22-22i−2i2i−2i0000002i−2i2-200−i2i2−i2i2−22−22−22−22−i2i2−i2i2000000002-22-22i−2i2i−2i0000002i−2i2-200−i2i2−i2i2−22−22−22−22−i2i2−i2i200000000
χ312-22-22i−2i2i−2i000000−2i2i-2200i2−i2i2−i22−22−2−22−22−i2i2−i2i2000000002-22-22i−2i2i−2i000000−2i2i-2200i2−i2i2−i22−22−2−22−22−i2i2−i2i2000000002-22-22i−2i2i−2i000000−2i2i-2200i2−i2i2−i22−22−2−22−22−i2i2−i2i2000000002-22-22i−2i2i−2i000000−2i2i-2200i2−i2i2−i22−22−2−22−22−i2i2−i2i200000000
χ322-22-22i−2i2i−2i000000−2i2i-2200−i2i2−i2i2−22−222−22−2i2−i2i2−i2000000002-22-22i−2i2i−2i000000−2i2i-2200−i2i2−i2i2−22−222−22−2i2−i2i2−i2000000002-22-22i−2i2i−2i000000−2i2i-2200−i2i2−i2i2−22−222−22−2i2−i2i2−i2000000002-22-22i−2i2i−2i000000−2i2i-2200−i2i2−i2i2−22−222−22−2i2−i2i2−i200000000
χ332-22-2−2i2i−2i2i0000002i−2i-2200i2−i2i2−i2−22−222−22−2−i2i2−i2i2000000002-22-2−2i2i−2i2i0000002i−2i-2200i2−i2i2−i2−22−222−22−2−i2i2−i2i2000000002-22-2−2i2i−2i2i0000002i−2i-2200i2−i2i2−i2−22−222−22−2−i2i2−i2i2000000002-22-2−2i2i−2i2i0000002i−2i-2200i2−i2i2−i2−22−222−22−2−i2i2−i2i200000000
χ342-22-2−2i2i−2i2i0000002i−2i-2200−i2i2−i2i22−22−2−22−22i2−i2i2−i2000000002-22-2−2i2i−2i2i0000002i−2i-2200−i2i2−i2i22−22−2−22−22i2−i2i2−i2000000002-22-2−2i2i−2i2i0000002i−2i-2200−i2i2−i2i22−22−2−22−22i2−i2i2−i2000000002-22-2−2i2i−2i2i0000002i−2i-2200−i2i2−i2i22−22−2−22−22i2−i2i2−i200000000
χ352-22-2−2i2i−2i2i000000−2i2i2-200i2−i2i2−i2−22−22−22−22i2−i2i2−i2000000002-22-2−2i2i−2i2i000000−2i2i2-200i2−i2i2−i2−22−22−22−22i2−i2i2−i2000000002-22-2−2i2i−2i2i000000−2i2i2-200i2−i2i2−i2−22−22−22−22i2−i2i2−i2000000002-22-2−2i2i−2i2i000000−2i2i2-200i2−i2i2−i2−22−22−22−22i2−i2i2−i200000000
χ362-22-2−2i2i−2i2i000000−2i2i2-200−i2i2−i2i22−22−22−22−2−i2i2−i2i2000000002-22-2−2i2i−2i2i000000−2i2i2-200−i2i2−i2i22−22−22−22−2−i2i2−i2i2000000002-22-2−2i2i−2i2i000000−2i2i2-200−i2i2−i2i22−22−22−22−2−i2i2−i2i2000000002-22-2−2i2i−2i2i000000−2i2i2-200−i2i2−i2i22−22−22−22−2−i2i2−i2i200000000
χ372-2-222i−2i−2i2i00002i−2i00002-2000000002-2-222i−2i−2i2i000000002-2-222i−2i−2i2i00002i−2i00002-2000000002-2-222i−2i−2i2i000000002-2-222i−2i−2i2i00002i−2i00002-2000000002-2-222i−2i−2i2i000000002-2-222i−2i−2i2i00002i−2i00002-2000000002-2-222i−2i−2i2i00000000
χ382-2-222i−2i−2i2i00002i−2i00002-200000000-222-2−2i2i2i−2i000000002-2-222i−2i−2i2i00002i−2i00002-200000000-222-2−2i2i2i−2i000000002-2-222i−2i−2i2i00002i−2i00002-200000000-222-2−2i2i2i−2i000000002-2-222i−2i−2i2i00002i−2i00002-200000000-222-2−2i2i2i−2i00000000
χ392-2-222i−2i−2i2i0000−2i2i0000-222i−2i−2i2i2-2-2200000000000000002-2-222i−2i−2i2i0000−2i2i0000-222i−2i−2i2i2-2-2200000000000000002-2-222i−2i−2i2i0000−2i2i0000-222i−2i−2i2i2-2-2200000000000000002-2-222i−2i−2i2i0000−2i2i0000-222i−2i−2i2i2-2-220000000000000000
χ402-2-222i−2i−2i2i0000−2i2i0000-22−2i2i2i−2i-222-200000000000000002-2-222i−2i−2i2i0000−2i2i0000-22−2i2i2i−2i-222-200000000000000002-2-222i−2i−2i2i0000−2i2i0000-22−2i2i2i−2i-222-200000000000000002-2-222i−2i−2i2i0000−2i2i0000-22−2i2i2i−2i-222-20000000000000000
χ412-2-22−2i2i2i−2i00002i−2i0000-222i−2i−2i2i-222-200000000000000002-2-22−2i2i2i−2i00002i−2i0000-222i−2i−2i2i-222-200000000000000002-2-22−2i2i2i−2i00002i−2i0000-222i−2i−2i2i-222-200000000000000002-2-22−2i2i2i−2i00002i−2i0000-222i−2i−2i2i-222-20000000000000000
χ422-2-22−2i2i2i−2i00002i−2i0000-22−2i2i2i−2i2-2-2200000000000000002-2-22−2i2i2i−2i00002i−2i0000-22−2i2i2i−2i2-2-2200000000000000002-2-22−2i2i2i−2i00002i−2i0000-22−2i2i2i−2i2-2-2200000000000000002-2-22−2i2i2i−2i00002i−2i0000-22−2i2i2i−2i2-2-220000000000000000
χ432-2-22−2i2i2i−2i0000−2i2i00002-2000000002-2-22−2i2i2i−2i000000002-2-22−2i2i2i−2i0000−2i2i00002-2000000002-2-22−2i2i2i−2i000000002-2-22−2i2i2i−2i0000−2i2i00002-2000000002-2-22−2i2i2i−2i000000002-2-22−2i2i2i−2i0000−2i2i00002-2000000002-2-22−2i2i2i−2i00000000
χ442-2-22−2i2i2i−2i0000−2i2i00002-200000000-222-22i−2i−2i2i000000002-2-22−2i2i2i−2i0000−2i2i00002-200000000-222-22i−2i−2i2i000000002-2-22−2i2i2i−2i0000−2i2i00002-200000000-222-22i−2i−2i2i000000002-2-22−2i2i2i−2i0000−2i2i00002-200000000-222-22i−2i−2i2i00000000
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χ46111111111111111111111111111111111111-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-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−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii
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χ1692-2-222i−2i−2i2i00002i−2i00002-2000000002-2-222i−2i−2i2i00000000−2i2i2i−2i2-2-2200002-20000−2i2i00000000−2i2i2i−2i2-2-2200000000-222-2−2i2i2i−2i0000−2i2i0000-2200000000-222-2−2i2i2i−2i000000002i−2i−2i2i-222-20000-2200002i−2i000000002i−2i−2i2i-222-200000000
χ1702-2-222i−2i−2i2i00002i−2i00002-200000000-222-2−2i2i2i−2i00000000−2i2i2i−2i2-2-2200002-20000−2i2i000000002i−2i−2i2i-222-200000000-222-2−2i2i2i−2i0000−2i2i0000-22000000002-2-222i−2i−2i2i000000002i−2i−2i2i-222-20000-2200002i−2i00000000−2i2i2i−2i2-2-2200000000
χ1712-2-222i−2i−2i2i0000−2i2i0000-222i−2i−2i2i2-2-220000000000000000−2i2i2i−2i2-2-220000-2200002i−2i2-2-22−2i2i2i−2i0000000000000000-222-2−2i2i2i−2i00002i−2i00002-2−2i2i2i−2i-222-200000000000000002i−2i−2i2i-222-200002-20000−2i2i-222-22i−2i−2i2i0000000000000000
χ1722-2-222i−2i−2i2i0000−2i2i0000-22−2i2i2i−2i-222-20000000000000000−2i2i2i−2i2-2-220000-2200002i−2i-222-22i−2i−2i2i0000000000000000-222-2−2i2i2i−2i00002i−2i00002-22i−2i−2i2i2-2-2200000000000000002i−2i−2i2i-222-200002-20000−2i2i2-2-22−2i2i2i−2i0000000000000000
χ1732-2-22−2i2i2i−2i00002i−2i0000-222i−2i−2i2i-222-20000000000000000−2i2i2i−2i-222-200002-200002i−2i2-2-222i−2i−2i2i0000000000000000-222-22i−2i−2i2i0000−2i2i00002-2−2i2i2i−2i2-2-2200000000000000002i−2i−2i2i2-2-220000-220000−2i2i-222-2−2i2i2i−2i0000000000000000
χ1742-2-22−2i2i2i−2i00002i−2i0000-22−2i2i2i−2i2-2-220000000000000000−2i2i2i−2i-222-200002-200002i−2i-222-2−2i2i2i−2i0000000000000000-222-22i−2i−2i2i0000−2i2i00002-22i−2i−2i2i-222-200000000000000002i−2i−2i2i2-2-220000-220000−2i2i2-2-222i−2i−2i2i0000000000000000
χ1752-2-22−2i2i2i−2i0000−2i2i00002-2000000002-2-22−2i2i2i−2i00000000−2i2i2i−2i-222-20000-220000−2i2i00000000−2i2i2i−2i-222-200000000-222-22i−2i−2i2i00002i−2i0000-2200000000-222-22i−2i−2i2i000000002i−2i−2i2i2-2-2200002-200002i−2i000000002i−2i−2i2i2-2-2200000000
χ1762-2-22−2i2i2i−2i0000−2i2i00002-200000000-222-22i−2i−2i2i00000000−2i2i2i−2i-222-20000-220000−2i2i000000002i−2i−2i2i2-2-2200000000-222-22i−2i−2i2i00002i−2i0000-22000000002-2-22−2i2i2i−2i000000002i−2i−2i2i2-2-2200002-200002i−2i00000000−2i2i2i−2i-222-200000000

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