Finite Group Databasebeta

← Group #11664895

Character table — Group #11664895

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size1111111122222222222222222222222222228888888822222222444444444444444444444444444416161616161616163333333366666666666666666666666666662424242424242424
order122244442244444444448888888888888888224444443666121212126612121212121212121212242424242424242424242424242424246612121212121222224444224444444444888888888888888822444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-11-111-1-111111111-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-11-111-1-111111111-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-11-111-1-1
χ611111111-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-11-1-11111111111-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-11-1-11111111111-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-11-1-111
χ711111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111-11-1-1-11111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111-11-1-1-11111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111-11-1-1-111
χ811111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-11-1111-1-111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-11-1111-1-111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-11-1111-1-1
χ91111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-11-1-111-11-11111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-11-1-111-11-11111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-11-1-111-11-1
χ101111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-111-1-11-111111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-111-1-11-111111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-111-1-11-11
χ111111-1-1-1-111-1-111-1-1-1-111-1-1-1-11111-1-1-1-111111-1-11-11-111111-1-1-1-111-1-111-1-1-1-111-1-1-1-11111-1-1-1-111111-1-11-11-111111-1-1-1-111-1-111-1-1-1-111-1-1-1-11111-1-1-1-111111-1-11-11-11
χ121111-1-1-1-111-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111-111-11-11-11111-1-1-1-111-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111-111-11-11-11111-1-1-1-111-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111-111-11-11-1
χ131111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-11-1-111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-11-1-111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-11-1-11
χ141111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-111-111-11111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-111-111-11111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-111-111-1
χ151111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-111-1-1-111-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-111-1-1-111-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-111-1-1-111-1
χ161111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1111-1-111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1111-1-111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1111-1-11
χ172222222222-2-2-2-222-2-2-2-20000000000000000000000002222222222-2-2-2-222-2-2-2-20000000000000000000000002222222222-2-2-2-222-2-2-2-2000000000000000000000000
χ1822222222-2-2-2-222-2-222-2-200000000000000000000000022222222-2-2-2-222-2-222-2-200000000000000000000000022222222-2-2-2-222-2-222-2-2000000000000000000000000
χ192222-2-2-2-22222-2-2-2-222-2-20000000000000000000000002222-2-2-2-22222-2-2-2-222-2-20000000000000000000000002222-2-2-2-22222-2-2-2-222-2-2000000000000000000000000
χ202222-2-2-2-2-2-2222222-2-2-2-20000000000000000000000002222-2-2-2-2-2-2222222-2-2-2-20000000000000000000000002222-2-2-2-2-2-2222222-2-2-2-2000000000000000000000000
χ2122-2-222-2-22-200002-20000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i20000000022-2-222-2-22-200002-20000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i20000000022-2-222-2-22-200002-20000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i200000000
χ2222-2-222-2-22-200002-20000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i20000000022-2-222-2-22-200002-20000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i20000000022-2-222-2-22-200002-20000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i200000000
χ2322-2-222-2-2-220000-220000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i20000000022-2-222-2-2-220000-220000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i20000000022-2-222-2-2-220000-220000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i200000000
χ2422-2-222-2-2-220000-220000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i20000000022-2-222-2-2-220000-220000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i20000000022-2-222-2-2-220000-220000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i200000000
χ2522-2-2-2-2222-20000-220000i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i20000000022-2-2-2-2222-20000-220000i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i20000000022-2-2-2-2222-20000-220000i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i200000000
χ2622-2-2-2-2222-20000-220000−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i20000000022-2-2-2-2222-20000-220000−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i20000000022-2-2-2-2222-20000-220000−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i200000000
χ2722-2-2-2-222-2200002-20000i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i20000000022-2-2-2-222-2200002-20000i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i20000000022-2-2-2-222-2200002-20000i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i200000000
χ2822-2-2-2-222-2200002-20000−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i20000000022-2-2-2-222-2200002-20000−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i20000000022-2-2-2-222-2200002-20000−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i200000000
χ292-22-22i−2i2i−2i00002i−2i002-200i2−i2i2−i22−22−22−22−2i2−i2i2−i2000000002-22-22i−2i2i−2i00002i−2i002-200i2−i2i2−i22−22−22−22−2i2−i2i2−i2000000002-22-22i−2i2i−2i00002i−2i002-200i2−i2i2−i22−22−22−22−2i2−i2i2−i200000000
χ302-22-22i−2i2i−2i00002i−2i002-200−i2i2−i2i2−22−22−22−22−i2i2−i2i2000000002-22-22i−2i2i−2i00002i−2i002-200−i2i2−i2i2−22−22−22−22−i2i2−i2i2000000002-22-22i−2i2i−2i00002i−2i002-200−i2i2−i2i2−22−22−22−22−i2i2−i2i200000000
χ312-22-22i−2i2i−2i0000−2i2i00-2200i2−i2i2−i22−22−2−22−22−i2i2−i2i2000000002-22-22i−2i2i−2i0000−2i2i00-2200i2−i2i2−i22−22−2−22−22−i2i2−i2i2000000002-22-22i−2i2i−2i0000−2i2i00-2200i2−i2i2−i22−22−2−22−22−i2i2−i2i200000000
χ322-22-22i−2i2i−2i0000−2i2i00-2200−i2i2−i2i2−22−222−22−2i2−i2i2−i2000000002-22-22i−2i2i−2i0000−2i2i00-2200−i2i2−i2i2−22−222−22−2i2−i2i2−i2000000002-22-22i−2i2i−2i0000−2i2i00-2200−i2i2−i2i2−22−222−22−2i2−i2i2−i200000000
χ332-22-2−2i2i−2i2i00002i−2i00-2200i2−i2i2−i2−22−222−22−2−i2i2−i2i2000000002-22-2−2i2i−2i2i00002i−2i00-2200i2−i2i2−i2−22−222−22−2−i2i2−i2i2000000002-22-2−2i2i−2i2i00002i−2i00-2200i2−i2i2−i2−22−222−22−2−i2i2−i2i200000000
χ342-22-2−2i2i−2i2i00002i−2i00-2200−i2i2−i2i22−22−2−22−22i2−i2i2−i2000000002-22-2−2i2i−2i2i00002i−2i00-2200−i2i2−i2i22−22−2−22−22i2−i2i2−i2000000002-22-2−2i2i−2i2i00002i−2i00-2200−i2i2−i2i22−22−2−22−22i2−i2i2−i200000000
χ352-22-2−2i2i−2i2i0000−2i2i002-200i2−i2i2−i2−22−22−22−22i2−i2i2−i2000000002-22-2−2i2i−2i2i0000−2i2i002-200i2−i2i2−i2−22−22−22−22i2−i2i2−i2000000002-22-2−2i2i−2i2i0000−2i2i002-200i2−i2i2−i2−22−22−22−22i2−i2i2−i200000000
χ362-22-2−2i2i−2i2i0000−2i2i002-200−i2i2−i2i22−22−22−22−2−i2i2−i2i2000000002-22-2−2i2i−2i2i0000−2i2i002-200−i2i2−i2i22−22−22−22−2−i2i2−i2i2000000002-22-2−2i2i−2i2i0000−2i2i002-200−i2i2−i2i22−22−22−22−2−i2i2−i2i200000000
χ372-2-222i−2i−2i2i002i−2i0000002-2000000002i−2i−2i2i-222-2000000002-2-222i−2i−2i2i002i−2i0000002-2000000002i−2i−2i2i-222-2000000002-2-222i−2i−2i2i002i−2i0000002-2000000002i−2i−2i2i-222-200000000
χ382-2-222i−2i−2i2i002i−2i0000002-200000000−2i2i2i−2i2-2-22000000002-2-222i−2i−2i2i002i−2i0000002-200000000−2i2i2i−2i2-2-22000000002-2-222i−2i−2i2i002i−2i0000002-200000000−2i2i2i−2i2-2-2200000000
χ392-2-222i−2i−2i2i00−2i2i000000-222-2-22−2i2i2i−2i00000000000000002-2-222i−2i−2i2i00−2i2i000000-222-2-22−2i2i2i−2i00000000000000002-2-222i−2i−2i2i00−2i2i000000-222-2-22−2i2i2i−2i0000000000000000
χ402-2-222i−2i−2i2i00−2i2i000000-22-222-22i−2i−2i2i00000000000000002-2-222i−2i−2i2i00−2i2i000000-22-222-22i−2i−2i2i00000000000000002-2-222i−2i−2i2i00−2i2i000000-22-222-22i−2i−2i2i0000000000000000
χ412-2-22−2i2i2i−2i002i−2i000000-222-2-222i−2i−2i2i00000000000000002-2-22−2i2i2i−2i002i−2i000000-222-2-222i−2i−2i2i00000000000000002-2-22−2i2i2i−2i002i−2i000000-222-2-222i−2i−2i2i0000000000000000
χ422-2-22−2i2i2i−2i002i−2i000000-22-222-2−2i2i2i−2i00000000000000002-2-22−2i2i2i−2i002i−2i000000-22-222-2−2i2i2i−2i00000000000000002-2-22−2i2i2i−2i002i−2i000000-22-222-2−2i2i2i−2i0000000000000000
χ432-2-22−2i2i2i−2i00−2i2i0000002-2000000002i−2i−2i2i2-2-22000000002-2-22−2i2i2i−2i00−2i2i0000002-2000000002i−2i−2i2i2-2-22000000002-2-22−2i2i2i−2i00−2i2i0000002-2000000002i−2i−2i2i2-2-2200000000
χ442-2-22−2i2i2i−2i00−2i2i0000002-200000000−2i2i2i−2i-222-2000000002-2-22−2i2i2i−2i00−2i2i0000002-200000000−2i2i2i−2i-222-2000000002-2-22−2i2i2i−2i00−2i2i0000002-200000000−2i2i2i−2i-222-200000000
χ451111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ46111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ4711111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111
χ4811111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1
χ4911111111-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-11-111-1-111111111-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-11-111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-111111111-11-11-1-111
χ5011111111-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-11-1-11111111111-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-11-1-111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1111111111-11-111-1-1
χ5111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111-11-1-1-11111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111-11-1-1-111-1-1-1-1-1-1-1-111-1-1111111-1-111111111-1-1-1-1-1-1-1-1-11-1111-1-1
χ5211111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-11-1111-1-111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-11-1111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-111111111-1-1-1-1-1-1-1-11-11-1-1-111
χ531111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-11-1-111-11-11111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-11-1-111-11-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-11111-1-1-1-11111-111-1-11-11
χ541111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-111-1-11-111111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-111-1-11-11-1-1-1-11111-1-111-1-11111-1-1-1-1-1-11111-1-1-1-111111-1-111-11-1
χ551111-1-1-1-111-1-111-1-1-1-111-1-1-1-11111-1-1-1-111111-1-11-11-111111-1-1-1-111-1-111-1-1-1-111-1-1-1-11111-1-1-1-111111-1-11-11-11-1-1-1-11111-1-111-1-11111-1-11111-1-1-1-11111-1-1-1-1-111-11-11-1
χ561111-1-1-1-111-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111-111-11-11-11111-1-1-1-111-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111-111-11-11-1-1-1-1-11111-1-111-1-11111-1-11111-1-1-1-11111-1-1-1-11-1-11-11-11
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χ1214-44-4−4i4i−4i4i00004i−4i00-44002i2−2i22i2−2i2−2222−222222−2222−22−2i22i2−2i22i200000000-22-222i−2i2i−2i0000−2i2i002-200−i2i2−i2i22−22−2−22−22i2−i2i2−i20000000000000000000000000000000000000000000000000000
χ1224-44-4−4i4i−4i4i00004i−4i00-4400−2i22i2−2i22i222−2222−22−2222−22222i2−2i22i2−2i200000000-22-222i−2i2i−2i0000−2i2i002-200i2−i2i2−i2−22−222−22−2−i2i2−i2i20000000000000000000000000000000000000000000000000000
χ1234-44-4−4i4i−4i4i0000−4i4i004-4002i2−2i22i2−2i2−2222−2222−2222−22222i2−2i22i2−2i200000000-22-222i−2i2i−2i00002i−2i00-2200−i2i2−i2i22−22−22−22−2−i2i2−i2i20000000000000000000000000000000000000000000000000000
χ1244-44-4−4i4i−4i4i0000−4i4i004-400−2i22i2−2i22i222−2222−2222−2222−22−2i22i2−2i22i200000000-22-222i−2i2i−2i00002i−2i00-2200i2−i2i2−i2−22−22−22−22i2−i2i2−i20000000000000000000000000000000000000000000000000000
χ1254-4-444i−4i−4i4i004i−4i0000004-4000000004i−4i−4i4i-444-400000000-222-2−2i2i2i−2i00−2i2i000000-2200000000−2i2i2i−2i2-2-220000000000000000000000000000000000000000000000000000
χ1264-4-444i−4i−4i4i004i−4i0000004-400000000−4i4i4i−4i4-4-4400000000-222-2−2i2i2i−2i00−2i2i000000-22000000002i−2i−2i2i-222-20000000000000000000000000000000000000000000000000000
χ1274-4-444i−4i−4i4i00−4i4i000000-444-4-44−4i4i4i−4i0000000000000000-222-2−2i2i2i−2i002i−2i0000002-2-222-22i−2i−2i2i000000000000000000000000000000000000000000000000000000000000
χ1284-4-444i−4i−4i4i00−4i4i000000-44-444-44i−4i−4i4i0000000000000000-222-2−2i2i2i−2i002i−2i0000002-22-2-22−2i2i2i−2i000000000000000000000000000000000000000000000000000000000000
χ1294-4-44−4i4i4i−4i004i−4i000000-444-4-444i−4i−4i4i0000000000000000-222-22i−2i−2i2i00−2i2i0000002-2-222-2−2i2i2i−2i000000000000000000000000000000000000000000000000000000000000
χ1304-4-44−4i4i4i−4i004i−4i000000-44-444-4−4i4i4i−4i0000000000000000-222-22i−2i−2i2i00−2i2i0000002-22-2-222i−2i−2i2i000000000000000000000000000000000000000000000000000000000000
χ1314-4-44−4i4i4i−4i00−4i4i0000004-4000000004i−4i−4i4i4-4-4400000000-222-22i−2i−2i2i002i−2i000000-2200000000−2i2i2i−2i-222-20000000000000000000000000000000000000000000000000000
χ1324-4-44−4i4i4i−4i00−4i4i0000004-400000000−4i4i4i−4i-444-400000000-222-22i−2i−2i2i002i−2i000000-22000000002i−2i−2i2i2-2-220000000000000000000000000000000000000000000000000000

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