Finite Group Databasebeta

← Group #13145587

Character table — Group #13145587

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150
size11222222222222222222222222244444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444242424242424242424242424242424242424727272727272108108108108
order122333334466666666666668812123333666666666666681212121212121212121212121212121212121212121212121224242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424226666666666666666882424242416161616
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511-1111111-1-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-1i−iii−i−iii−i−i
χ611-1111111-1-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-1−ii−i−iii−i−iii
χ711-1111111-1-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111i−iii−i−i−i−iii
χ811-1111111-1-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111−ii−i−iiiii−i−i
χ922222222222222222222222-2-22222222222222222222-22222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000
χ1022222222-2-2222222222222200-2-2222222222222222220-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000000000000000000000000000−i2i2−i2i2
χ1122222222-2-2222222222222200-2-2222222222222222220-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000000000000000000000000000i2−i2i2−i2
χ1222222-1-1-12222-1-1-1-1-1-122-1-1-122222-1-1-1222-1-1-1-1-1-12-1-1-122-1-1-122-1-1-1-1-1-122-1-1-122-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-10000000000
χ1322222-1-1-12222-1-1-1-1-1-122-1-1-122222-1-1-1222-1-1-1-1-1-12-1-1-122-1-1-122-1-1-1-1-1-122-1-1-122-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111-2-21111110000000000
χ1422222-1-1-12222-1-1-1-1-1-122-1-1-1-2-2222-1-1-1222-1-1-1-1-1-12-1-1-1-22-1-1-122-1-1-1-1-1-122-1-1-122-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111111-2-2-2-2-2-2-2-21111111111111111110000−i3−i3−i3i3i3i300−i3−i3−i3i3i3i30000000000
χ1522222-1-1-12222-1-1-1-1-1-122-1-1-1-2-2222-1-1-1222-1-1-1-1-1-12-1-1-1-22-1-1-122-1-1-1-1-1-122-1-1-122-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111111-2-2-2-2-2-2-2-21111111111111111110000i3i3i3−i3−i3−i300i3i3i3−i3−i3−i30000000000
χ162222-12-1-122-1-122-1-1-1-12-12-1-12222-12-1-12-1-122-1-1-1-1-12-1-12-12-1-1-1-122-1-1-1-12-12-1-1-1-122-1-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-122-1-12-1-12-1-1-1-12-1-12-1-10000000000
χ172222-12-1-122-1-122-1-1-1-12-12-1-12222-12-1-12-1-122-1-1-1-1-12-1-12-12-1-1-1-122-1-1-1-12-12-1-1-1-122-1-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-2-211-211-21111-211-2110000000000
χ182222-12-1-122-1-122-1-1-1-12-12-1-1-2-222-12-1-12-1-122-1-1-1-1-12-1-1-2-12-1-1-1-122-1-1-1-12-12-1-1-1-122-1-1-1-1-2-2111111-2-2-2-2-2-2111111111111-2-2111111-2-2-2-2-2-211111111111100−i3i30−i3i30−i3i3−i3i30−i3i30−i3i30000000000
χ192222-12-1-122-1-122-1-1-1-12-12-1-1-2-222-12-1-12-1-122-1-1-1-1-12-1-1-2-12-1-1-1-122-1-1-1-12-12-1-1-1-122-1-1-1-1-2-2111111-2-2-2-2-2-2111111111111-2-2111111-2-2-2-2-2-211111111111100i3−i30i3−i30i3−i3i3−i30i3−i30i3−i30000000000
χ202222-1-12-122-1-1-1-122-1-12-1-12-12222-1-12-12-1-1-1-122-1-1-1-12-12-1-12-1-1-1-1-122-1-12-1-12-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-122-1-1-12-1-1-12-1-1-12-1-1-120000000000
χ212222-1-12-122-1-1-1-122-1-12-1-12-12222-1-12-12-1-1-1-122-1-1-1-12-12-1-12-1-1-1-1-122-1-12-1-12-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-2-2111-2111-2111-2111-20000000000
χ222222-1-12-122-1-1-1-122-1-12-1-12-1-2-222-1-12-12-1-1-1-122-1-1-1-12-1-2-1-12-1-1-1-1-122-1-12-1-12-1-1-1-1-122-1-1-2-2111111111111-2-2-2-2-2-2111111-2-2111111111111-2-2-2-2-2-211111100−i3i3i30−i3−i3i30−i3i3i30−i3−i3i300000000000
χ232222-1-12-122-1-1-1-122-1-12-1-12-1-2-222-1-12-12-1-1-1-122-1-1-1-12-1-2-1-12-1-1-1-1-122-1-12-1-12-1-1-1-1-122-1-1-2-2111111111111-2-2-2-2-2-2111111-2-2111111111111-2-2-2-2-2-211111100i3−i3−i30i3i3−i30i3−i3−i30i3i3−i300000000000
χ242222-1-1-1222-1-1-1-1-1-1222-1-1-122222-1-1-122-1-1-1-1-1-122-1-1-122-1-1-12-1-1-1-1-1-1222-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-12-12-1-1-1-1-12-12-10000000000
χ252222-1-1-1222-1-1-1-1-1-1222-1-1-122222-1-1-122-1-1-1-1-1-122-1-1-122-1-1-12-1-1-1-1-1-1222-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-2-21111-21-211111-21-210000000000
χ262222-1-1-1222-1-1-1-1-1-1222-1-1-12-2-222-1-1-122-1-1-1-1-1-122-1-1-12-2-1-1-12-1-1-1-1-1-1222-1-1-12-1-1-1-1-1-122-2-2111111111111111111-2-2-2-2-2-2-2-2111111111111111111-2-2-2-2-2-200−i3i3−i3i30i30−i3−i3i3−i3i30i30−i30000000000
χ272222-1-1-1222-1-1-1-1-1-1222-1-1-12-2-222-1-1-122-1-1-1-1-1-122-1-1-12-2-1-1-12-1-1-1-1-1-1222-1-1-12-1-1-1-1-1-122-2-2111111111111111111-2-2-2-2-2-2-2-2111111111111111111-2-2-2-2-2-200i3−i3i3−i30−i30i3i3−i3i3−i30−i30i30000000000
χ28222-122222222222222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-100000000000000000022-1-1-1-10000
χ29222-122222222222222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-1000000000000000000-2-211110000
χ30222-122222222222222-12222-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-22222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-111-2-21111-2-21111-2-21111-2-2111111-2-21111-2-21111-2-21111-2-2111100000000000000000000−i3i3−i3i30000
χ31222-122222222222222-12222-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-22222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-111-2-21111-2-21111-2-21111-2-2111111-2-21111-2-21111-2-21111-2-2111100000000000000000000i3−i3i3−i30000
χ3222-2222222-2-2-2-2-2-2-2-2-22222222-2-22222-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-22222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222222222222222222222220000000000000000000000000000
χ3322-222222-22-2-2-2-2-2-2-2-22222200222222-2-2-2-2-2-2-2-2-222220222222222222-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000002−2−22
χ3422-222222-22-2-2-2-2-2-2-2-22222200222222-2-2-2-2-2-2-2-2-222220222222222222-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000000000000000000000000000−222−2
χ3522-222-1-1-12-2-2-211111122-1-1-122-2-22-1-1-1-2-2-21111112-1-1-1-2-2111-2-211111122-1-1-122-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111111111111122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000−i3−i3−i3i3i3i300i3i3i3−i3−i3−i30000000000
χ3622-222-1-1-12-2-2-211111122-1-1-122-2-22-1-1-1-2-2-21111112-1-1-1-2-2111-2-211111122-1-1-122-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111111111111122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000i3i3i3−i3−i3−i300−i3−i3−i3i3i3i30000000000
χ3722-222-1-1-12-2-2-211111122-1-1-1-2-2-2-22-1-1-1-2-2-21111112-1-1-12-2111-2-211111122-1-1-122-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111112-222-1-1-1-1-1-1-2-21111110000000000
χ3822-222-1-1-12-2-2-211111122-1-1-1-2-2-2-22-1-1-1-2-2-21111112-1-1-12-2111-2-211111122-1-1-122-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111111-22-2-211111122-1-1-1-1-1-10000000000
χ3922-22-12-1-12-211-2-211112-12-1-122-2-2-12-1-1-211-2-21111-12-1-1-21-21111-2-211112-12-1-1-1-122-1-1-1-1-2-2111111-2-2-2-2-2-211111111111122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-100−i3i30−i3i30−i3i3i3−i30i3−i30i3−i30000000000
χ4022-22-12-1-12-211-2-211112-12-1-122-2-2-12-1-1-211-2-21111-12-1-1-21-21111-2-211112-12-1-1-1-122-1-1-1-1-2-2111111-2-2-2-2-2-211111111111122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-100i3−i30i3−i30i3−i3−i3i30−i3i30−i3i30000000000
χ4122-22-12-1-12-211-2-211112-12-1-1-2-2-2-2-12-1-1-211-2-21111-12-1-121-21111-2-211112-12-1-1-1-122-1-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2111111-2-2-2-2-2-21111111111112-2-1-12-1-12-1-111-211-2110000000000
χ4222-22-12-1-12-211-2-211112-12-1-1-2-2-2-2-12-1-1-211-2-21111-12-1-121-21111-2-211112-12-1-1-1-122-1-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2111111-2-2-2-2-2-2111111111111-2211-211-211-1-12-1-12-1-10000000000
χ4322-22-1-12-12-21111-2-2112-1-12-122-2-2-1-12-1-21111-2-211-1-12-1-211-211111-2-2112-1-12-1-1-1-1-122-1-1-2-2111111111111-2-2-2-2-2-211111122-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-100−i3i3i30−i3−i3i30i3−i3−i30i3i3−i300000000000
χ4422-22-1-12-12-21111-2-2112-1-12-122-2-2-1-12-1-21111-2-211-1-12-1-211-211111-2-2112-1-12-1-1-1-1-122-1-1-2-2111111111111-2-2-2-2-2-211111122-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-100i3−i3−i30i3i3−i30−i3i3i30−i3−i3i300000000000
χ4522-22-1-12-12-21111-2-2112-1-12-1-2-2-2-2-1-12-1-21111-2-211-1-12-1211-211111-2-2112-1-12-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-2-2111111111111-2-2-2-2-2-21111112-2-1-1-12-1-1-12111-2111-20000000000
χ4622-22-1-12-12-21111-2-2112-1-12-1-2-2-2-2-1-12-1-21111-2-211-1-12-1211-211111-2-2112-1-12-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-2-2111111111111-2-2-2-2-2-2111111-22111-2111-2-1-1-12-1-1-120000000000
χ4722-22-1-1-122-2111111-2-22-1-1-1222-2-2-1-1-12-2111111-2-2-1-1-12-2111-2111111-2-22-1-1-12-1-1-1-1-1-122-2-2111111111111111111-2-2-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222200−i3i3−i3i30i30−i3i3−i3i3−i30−i30i30000000000
χ4822-22-1-1-122-2111111-2-22-1-1-1222-2-2-1-1-12-2111111-2-2-1-1-12-2111-2111111-2-22-1-1-12-1-1-1-1-1-122-2-2111111111111111111-2-2-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222200i3−i3i3−i30−i30i3−i3i3−i3i30i30−i30000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.