Finite Group Databasebeta

← Group #13161421

Character table — Group #13161421

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186
size11111111222222222222222222222222222222222222222244444444444444444444444444444444444444444444444444444444444444444444444444444444444444121212121212121212121212121212121212121212121212121212121212121212121212363636363636363636363636108108108108
order122222223333366666666666666666666666666666666666223333666666666666666666666666666666666666666666666666666666666666666666666666666666664444121212121212121212121212121212121212121212121212121212121212121222446666121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1
χ6111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111
χ7111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-11111-1-1-1-1-1-111
χ8111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-1-1-1111111-1-1
χ9222222222222-122222222222222222222-1-1-1-1-1-122222222-122-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000000000002222-1-1-1-1-1-1-1-10000
χ10222222222222-122222222222222222222-1-1-1-1-1-122222222-122-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000000000-2-2-2-2111111110000
χ11222222222222-122222222222222222222-1-1-1-1-1-122222222-1-2-2-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111100000000000000000000000000000000000022-2-2-1-1-1-111110000
χ12222222222222-122222222222222222222-1-1-1-1-1-122222222-1-2-2-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111000000000000000000000000000000000000-2-2221111-1-1-1-10000
χ13222222222-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-12222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ14222222222-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-12222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111-2-2-2-21111111111110000000000000000
χ15222222222-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-12-2-22-1-1-1-2-2-2-2111111111111-2-2-2-22222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111111111111111111122-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111110000000000000000
χ16222222222-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-12-2-22-1-1-1-2-2-2-2111111111111-2-2-2-22222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111111111111-2-222-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ1722222222-12-1-12-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1222222-1-122-1-1-1-1222-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000000000
χ1822222222-12-1-12-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1222222-1-122-1-1-1-1222-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-2111111111111-2-2-2-2111111110000000000000000
χ1922222222-12-1-12-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1222222-1-122-1-1-1-12-2-2-12-1-11111-2-2-2-211111111-2-2-2-2-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-2-2-2-2-2-2-2-2111111111111111122-2-2-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-2111111110000000000000000
χ2022222222-12-1-12-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1222222-1-122-1-1-1-12-2-2-12-1-11111-2-2-2-211111111-2-2-2-2-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-2-2-2-2-2-2-2-21111111111111111-2-2221111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-10000000000000000
χ2122222222-1-12-12-1-1-1-1-1-1-1-1-1-122222-1-1-1-1-1222222-1-1-1-122-1-1222-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-10000000000000000
χ2222222222-1-12-12-1-1-1-1-1-1-1-1-1-122222-1-1-1-1-1222222-1-1-1-122-1-1222-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-2-2-2-211111111-2-2-2-2111111111111-2-2-2-211110000000000000000
χ2322222222-1-12-12-1-1-1-1-1-1-1-1-1-122222-1-1-1-1-1222222-1-1-1-122-1-12-2-2-1-12-111111111-2-2-2-21111-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-1-11111111111111111-2-2-2-2-2-2-2-21111111122-2-2-1-1-1-1-1-1-1-12222-1-1-1-111111111-2-2-2-211110000000000000000
χ2422222222-1-12-12-1-1-1-1-1-1-1-1-1-122222-1-1-1-1-1222222-1-1-1-122-1-12-2-2-1-12-111111111-2-2-2-21111-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-1-11111111111111111-2-2-2-2-2-2-2-211111111-2-22211111111-2-2-2-21111-1-1-1-1-1-1-1-12222-1-1-1-10000000000000000
χ2522222222-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222222-1-1-1-1-1-122222-1-1-12-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122220000000000000000
χ2622222222-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222222-1-1-1-1-1-122222-1-1-12-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-2-2-2-2111111111111-2-2-2-2111111111111-2-2-2-20000000000000000
χ2722222222-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222222-1-1-1-1-1-1222-2-2-1-1-12111111111111-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222111111111111111111111111-2-2-2-2-2-2-2-222-2-2-1-1-1-1-1-1-1-1-1-1-1-12222111111111111-2-2-2-20000000000000000
χ2822222222-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222222-1-1-1-1-1-1222-2-2-1-1-12111111111111-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222111111111111111111111111-2-2-2-2-2-2-2-2-2-222111111111111-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-122220000000000000000
χ29222-22-2-2-22222222-2-2-222-2-2-222-2-2-222-2-2-2222-2-2-22-22-22-22-2-200222200000000000000000000222-2-2-2-2222-2-2-2-2222-2-2-2-2222-2-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000002i−2i
χ30222-22-2-2-22222222-2-2-222-2-2-222-2-2-222-2-2-2222-2-2-22-22-22-22-2-200222200000000000000000000222-2-2-2-2222-2-2-2-2222-2-2-2-2222-2-2-2-20000000000000000000000000000000000000000000000000000000000000000000000000000000000−2i2i
χ3122-22-2-22-2222222-222-22-222-22-222-22-222-22-2-222-2-2-2-2-2-2-2-2-2-2002222000000000000000000002-2-222-2-22-2-222-2-22-2-222-2-22-2-222-2-200000000000000000000000000000000002i−2i00000000000000002i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i0000000000000000
χ3222-22-2-22-2222222-222-22-222-22-222-22-222-22-2-222-2-2-2-2-2-2-2-2-2-2002222000000000000000000002-2-222-2-22-2-222-2-22-2-222-2-22-2-222-2-20000000000000000000000000000000000−2i2i0000000000000000−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i0000000000000000
χ3322-22-2-22-22-1-1-122-222-2-11-1-11-11-1-11-11-1-112-2-222-2-2-2111111-2002-1-1-10000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i300002-2-222-2-2-111-1-111-111-1-111-111-1-11100000000−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3002i−2i000033−3−333−3−333−3−32i2i−2i−2i−i−iii−i−iii−i−iii0000000000000000
χ3422-22-2-22-22-1-1-122-222-2-11-1-11-11-1-11-11-1-112-2-222-2-2-2111111-2002-1-1-10000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i300002-2-222-2-2-111-1-111-111-1-111-111-1-11100000000−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i300−2i2i0000−3−333−3−333−3−333−2i−2i2i2iii−i−iii−i−iii−i−i0000000000000000
χ3522-22-2-22-22-1-1-122-222-2-11-1-11-11-1-11-11-1-112-2-222-2-2-2111111-2002-1-1-10000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i300002-2-222-2-2-111-1-111-111-1-111-111-1-11100000000i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3002i−2i0000−3−333−3−333−3−3332i2i−2i−2i−i−iii−i−iii−i−iii0000000000000000
χ3622-22-2-22-22-1-1-122-222-2-11-1-11-11-1-11-11-1-112-2-222-2-2-2111111-2002-1-1-10000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i300002-2-222-2-2-111-1-111-111-1-111-111-1-11100000000i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i300−2i2i000033−3−333−3−333−3−3−2i−2i2i2iii−i−iii−i−iii−i−i0000000000000000
χ3722-22-2-22-2-12-1-12-11-1-112-222-2-11-1-11-11-1-112-2-222-211-2-21111-200-12-1-1−i3−i3i3i30000−i3−i3i3i3i3i3−i3−i30000-111-1-1112-2-222-2-2-111-1-111-111-1-111−i3−i3−i3−i3i3i3i3i300000000−i3−i3−i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i3002i−2i33−3−3000033−3−3−3−333−i−iii2i2i−2i−2i−i−iii−i−iii0000000000000000
χ3822-22-2-22-2-12-1-12-11-1-112-222-2-11-1-11-11-1-112-2-222-211-2-21111-200-12-1-1−i3−i3i3i30000−i3−i3i3i3i3i3−i3−i30000-111-1-1112-2-222-2-2-111-1-111-111-1-111−i3−i3−i3−i3i3i3i3i300000000−i3−i3−i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i300−2i2i−3−3330000−3−33333−3−3ii−i−i−2i−2i2i2iii−i−iii−i−i0000000000000000
χ3922-22-2-22-2-12-1-12-11-1-112-222-2-11-1-11-11-1-112-2-222-211-2-21111-200-12-1-1i3i3−i3−i30000i3i3−i3−i3−i3−i3i3i30000-111-1-1112-2-222-2-2-111-1-111-111-1-111i3i3i3i3−i3−i3−i3−i300000000i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3002i−2i−3−3330000−3−33333−3−3−i−iii2i2i−2i−2i−i−iii−i−iii0000000000000000
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χ1784-4-4-44-444-24-2-24222-2-2-4-4-444222-2-2222-2-2-4-44-444-224-4-22-22-400-24-2-20000000000000000000022-22-2-22-4-44-444-422-22-2-2222-22-2-22000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1794-4-4-44-444-24-2-2-2222-2-2-4-4-444222-2-2222-2-222-22-2-2-224-4-22-222001-21100000000000000000000-1-11-111-122-22-2-22-1-11-111-1-1-11-111-13-3-333-3-33000000003-3-333-3-33-333-3-333-30000000000000000000000000000000000000000000000000000
χ1804-4-4-44-444-24-2-2-2222-2-2-4-4-444222-2-2222-2-222-22-2-2-224-4-22-222001-21100000000000000000000-1-11-111-122-22-2-22-1-11-111-1-1-11-111-1-333-3-333-300000000-333-3-333-33-3-333-3-330000000000000000000000000000000000000000000000000000
χ1814-4-4-44-444-2-24-24222-2-2222-2-2-4-4-444222-2-2-4-44-444-22-224-4-22-400-2-24-20000000000000000000022-22-2-2222-22-2-22-4-44-444-422-22-2-22000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1824-4-4-44-444-2-24-2-2222-2-2222-2-2-4-4-444222-2-222-22-2-2-22-224-4-2220011-2100000000000000000000-1-11-111-1-1-11-111-122-22-2-22-1-11-111-13-3-333-3-33-333-3-333-3000000003-3-333-3-330000000000000000000000000000000000000000000000000000
χ1834-4-4-44-444-2-24-2-2222-2-2222-2-2-4-4-444222-2-222-22-2-2-22-224-4-2220011-2100000000000000000000-1-11-111-1-1-11-111-122-22-2-22-1-11-111-1-333-3-333-33-3-333-3-3300000000-333-3-333-30000000000000000000000000000000000000000000000000000
χ1844-4-4-44-444-2-2-244222-2-2222-2-2222-2-2-4-4-444-4-44-444-22-22-224-4-400-2-2-240000000000000000000022-22-2-2222-22-2-2222-22-2-22-4-44-444-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1854-4-4-44-444-2-2-24-2222-2-2222-2-2222-2-2-4-4-44422-22-2-2-22-22-224-4200111-200000000000000000000-1-11-111-1-1-11-111-1-1-11-111-122-22-2-223-3-333-3-333-3-333-3-33-333-3-333-3000000000000000000000000000000000000000000000000000000000000
χ1864-4-4-44-444-2-2-24-2222-2-2222-2-2222-2-2-4-4-44422-22-2-2-22-22-224-4200111-200000000000000000000-1-11-111-1-1-11-111-1-1-11-111-122-22-2-22-333-3-333-3-333-3-333-33-3-333-3-33000000000000000000000000000000000000000000000000000000000000

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