Finite Group Databasebeta

← Group #11001139

Character table — Group #11001139

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size11111111111111112222222222222222222222222222222222222222444444444444444444444444666666666666666666666666666666668888888888888888888888882424242424242424
order122222224444444422222222222234444444444446666666121212121212121266666666666612121212121212121212121244444444444444444444444444444444444444441212121212121212121212121212121244444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ611111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ711111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ811111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ91111111111111111-1-1-1-11111-1-1-1-11-1-1-1-11111-1-1-1-1111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1
χ101111111111111111-1-1-1-11111-1-1-1-11-1-1-1-11111-1-1-1-1111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-111-1-111
χ111111111111111111-1-1-1-11111-1-1-1-11-1-1-1-11111-1-1-1-1111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111
χ121111111111111111-1-1-1-11111-1-1-1-11-1-1-1-11111-1-1-1-1111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-111-1-1
χ131111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ141111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1
χ151111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ161111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111
χ1711111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11-11-11-11-111-1-111-1-111-1-111-1-11-11-11-11-1
χ1811111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-11-11-11-11-1-111-1-111-1-111-1-111-11-11-11-11
χ1911111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111-11-11-11-111-1-111-1-111-1-111-1-1-11-11-11-11
χ2011111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-11-11-11-11-1-111-1-111-1-111-1-1111-11-11-11-1
χ2111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-1111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111-11-1-11-1111-1-111-1-1-1-111-1-1111-11-1-11-11
χ2211111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-1111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-11-111-11-1-1-111-1-11111-1-111-1-1-11-111-11-1
χ2311111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-1111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-11-11-1-11-1111-1-111-1-1-1-111-1-111-11-111-11-1
χ2411111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-1111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-11-111-11-1-1-111-1-11111-1-111-1-11-11-1-11-11
χ2511111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-111-1-1111-1-1-1-11111-1-1-1-1111-1-111-1-11
χ2611111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-111-1-111-1-1-11111-1-1-1-11111-1-1-111-1-111-1
χ2711111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11-1-111-1-1111-1-1-1-11111-1-1-1-111-111-1-111-1
χ2811111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-111-1-111-1-1-11111-1-1-1-11111-1-11-1-111-1-11
χ2911111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11-1-11-111-111-1-1-1-111-1-11111-1-11-1-11-111-1
χ3011111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-111-11-1-11-1-11111-1-111-1-1-1-111-111-11-1-11
χ3111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-11-111-111-1-1-1-111-1-11111-1-1-111-11-1-11
χ3211111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-111-11-1-11-1-11111-1-111-1-1-1-1111-1-11-111-1
χ332222222222222222222222222222-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000000022222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000
χ342222222222222222222222222222-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000000000-2-2-2-2-2-2-2-2111111111111111100000000
χ3522222222222222222222-2-2-2-2-2-2-2-2-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111000000000000000000000000000000002222-2-2-2-2-1-1-1-1-1-1-1-11111111100000000
χ3622222222222222222222-2-2-2-2-2-2-2-2-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111100000000000000000000000000000000-2-2-2-2222211111111-1-1-1-1-1-1-1-100000000
χ372222222222222222-2-2-2-22222-2-2-2-2-1-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111110000000000000000000000000000000022-2-222-2-2-1-1-1-11111-1-1-1-1111100000000
χ382222222222222222-2-2-2-22222-2-2-2-2-1-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1111100000000000000000000000000000000-2-222-2-2221111-1-1-1-11111-1-1-1-100000000
χ392222222222222222-2-2-2-2-2-2-2-22222-1-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-10000000000000000000000000000000022-2-2-2-222-1-1-1-111111111-1-1-1-100000000
χ402222222222222222-2-2-2-2-2-2-2-22222-1-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-100000000000000000000000000000000-2-22222-2-21111-1-1-1-1-1-1-1-1111100000000
χ4122222222-2-2-2-2-2-2-2-2222222222222-1-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111000000000000000000000000000000002-22-22-22-2-1-111-1-111-1-111-1-11100000000
χ4222222222-2-2-2-2-2-2-2-2222222222222-1-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111100000000000000000000000000000000-22-22-22-2211-1-111-1-111-1-111-1-100000000
χ4322222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-1-2-2-2-222222222-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1000000000000000000000000000000002-22-2-22-22-1-111-1-11111-1-111-1-100000000
χ4422222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-1-2-2-2-222222222-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-100000000000000000000000000000000-22-222-22-211-1-111-1-1-1-111-1-11100000000
χ4522222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-12222-2-2-2-22222-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1000000000000000000000000000000002-2-222-2-22-1-11111-1-1-1-11111-1-100000000
χ4622222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-12222-2-2-2-22222-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-100000000000000000000000000000000-222-2-222-211-1-1-1-11111-1-1-1-11100000000
χ4722222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-122222222-2-2-2-2-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111000000000000000000000000000000002-2-22-222-2-1-11111-1-111-1-1-1-11100000000
χ4822222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-122222222-2-2-2-2-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111100000000000000000000000000000000-222-22-2-2211-1-1-1-111-1-11111-1-100000000
χ492222-2-2-2-22222-2-2-2-222-2-222-2-222-2-2222-2-222-2-222-2-222-2-2-2-222222-2-2-2-222-2-222-2-222-2-222-2-222-2-222-2-20000000000000000000000000000000000000000000000000000000000000000
χ502222-2-2-2-22222-2-2-2-222-2-222-2-222-2-2-122-2-222-2-222-2-2-1-11111-1-1-1-1-11111-1-111-1-111-1-111-1-111-1-111-1-11100000000000000000000000000000000000000003−33−33−33−33−33−33−33−300000000
χ512222-2-2-2-22222-2-2-2-222-2-222-2-222-2-2-122-2-222-2-222-2-2-1-11111-1-1-1-1-11111-1-111-1-111-1-111-1-111-1-111-1-1110000000000000000000000000000000000000000−33−33−33−33−33−33−33−3300000000
χ522222-2-2-2-22222-2-2-2-222-2-2-2-222-2-222222-2-2-2-222-2-22222-2-2-2-222222-2-2-2-222-2-2-2-222-2-22222-2-2-2-222-2-2220000000000000000000000000000000000000000000000000000000000000000
χ532222-2-2-2-22222-2-2-2-222-2-2-2-222-2-222-122-2-2-2-222-2-222-1-11111-1-1-1-1-11111-1-11111-1-111-1-1-1-11111-1-111-1-100000000000000000000000000000000000000003−33−33−33−3−33−33−33−3300000000
χ542222-2-2-2-22222-2-2-2-222-2-2-2-222-2-222-122-2-2-2-222-2-222-1-11111-1-1-1-1-11111-1-11111-1-111-1-1-1-11111-1-111-1-10000000000000000000000000000000000000000−33−33−33−333−33−33−33−300000000
χ552222-2-2-2-22222-2-2-2-2-2-22222-2-2-2-2222-2-22222-2-2-2-22222-2-2-2-222222-2-2-2-2-2-22222-2-2-2-222-2-22222-2-2-2-2220000000000000000000000000000000000000000000000000000000000000000
χ562222-2-2-2-22222-2-2-2-2-2-22222-2-2-2-222-1-2-22222-2-2-2-222-1-11111-1-1-1-1-1111111-1-1-1-11111-1-111-1-1-1-11111-1-100000000000000000000000000000000000000003−33−3−33−333−33−3−33−3300000000
χ572222-2-2-2-22222-2-2-2-2-2-22222-2-2-2-222-1-2-22222-2-2-2-222-1-11111-1-1-1-1-1111111-1-1-1-11111-1-111-1-1-1-11111-1-10000000000000000000000000000000000000000−33−333−33−3−33−333−33−300000000
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χ1334-44-4-444-44i−4i4i−4i−4i4i−4i4i00004-4-440000-200004i−4i−4i4i00002-22-22-22−2i2i−2i2i2i−2i2i−2i0000-222-200000000−2i2i2i−2i00000000000000000000000000000000000000000000000000000000000000000000
χ1344-44-4-444-44i−4i4i−4i−4i4i−4i4i0000-444-40000-20000−4i4i4i−4i00002-22-22-22−2i2i−2i2i2i−2i2i−2i00002-2-22000000002i−2i−2i2i00000000000000000000000000000000000000000000000000000000000000000000
χ1354-44-4-444-4−4i4i−4i4i4i−4i4i−4i00004-4-440000-20000−4i4i4i−4i00002-22-22-222i−2i2i−2i−2i2i−2i2i0000-222-2000000002i−2i−2i2i00000000000000000000000000000000000000000000000000000000000000000000
χ1364-44-4-444-4−4i4i−4i4i4i−4i4i−4i0000-444-40000-200004i−4i−4i4i00002-22-22-222i−2i2i−2i−2i2i−2i2i00002-2-2200000000−2i2i2i−2i00000000000000000000000000000000000000000000000000000000000000000000
χ1374-4-4444-4-44-4-444-4-444-44-400000000-24-44-40000000022-222-2-2-222-2-222-2-22-2200000000-22-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1384-4-4444-4-44-4-444-4-44-44-4400000000-2-44-440000000022-222-2-2-222-2-222-22-22-2000000002-22-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1394-4-4444-4-4-444-4-444-44-44-400000000-2-44-440000000022-222-2-22-2-222-2-22-22-22000000002-22-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1404-4-4444-4-4-444-4-444-4-44-4400000000-24-44-40000000022-222-2-22-2-222-2-222-22-200000000-22-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1414-4-44-4-4444-4-44-444-44-4-4400000000-24-4-4400000000222-2-22-2-222-22-2-22-222-200000000-222-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1424-4-44-4-4444-4-44-444-4-444-400000000-2-444-400000000222-2-22-2-222-22-2-222-2-22000000002-2-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1434-4-44-4-444-444-44-4-444-4-4400000000-2-444-400000000222-2-22-22-2-22-222-2-222-2000000002-2-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1444-4-44-4-444-444-44-4-44-444-400000000-24-4-4400000000222-2-22-22-2-22-222-22-2-2200000000-222-2000000000000000000000000000000000000000000000000000000000000000000000000

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