Finite Group Databasebeta

← Group #13160023

Character table — Group #13160023

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150
size11222222222222222222222222244444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444242424242424242424242424242424242424727272727272108108108108
order122333334466666666666668812123333666666666666681212121212121212121212121212121212121212121212121224242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424441212121212121212121212121212121288242424242488
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
χ511111111111111111111111-1-11111111111111111111-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-11-111-1-111-1-1
χ611111111111111111111111-1-11111111111111111111-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-1-11-1-111-1-111
χ711111111111111111111111-1-11111111111111111111-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111111-111-1-1-1-111
χ811111111111111111111111-1-11111111111111111111-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-11-1-11111-1-1
χ922222222-2-2222222222222200-2-2222222222222222220-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000000000000000000000000000002i−2i
χ1022222222-2-2222222222222200-2-2222222222222222220-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000−2i2i
χ112222222-12222222222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000022-1-1-1-10000
χ122222222-12222222222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000-2-211110000
χ132222222-12222222222-12222-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-22222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21111111111111111111111111111111111110000000000000000002-2-1-1110000
χ142222222-12222222222-12222-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-22222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111111111111111111111111111111111000000000000000000-2211-1-10000
χ152222-1-1-122222-1-1-1-1-1-122-1-1-122222-1-1-1222-1-1-1-1-1-12-1-1-122-1-1-122-1-1-1-1-1-122-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-10000000000
χ162222-1-1-122222-1-1-1-1-1-122-1-1-122222-1-1-1222-1-1-1-1-1-12-1-1-122-1-1-122-1-1-1-1-1-122-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111-2-21111110000000000
χ172222-1-1-122222-1-1-1-1-1-122-1-1-1-2-2222-1-1-1222-1-1-1-1-1-12-1-1-1-22-1-1-122-1-1-1-1-1-122-1-1-122-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-2-2-2-2-2-2-2-2-21111111111111111111111112-222-1-1-1-1-1-1-2-21111110000000000
χ182222-1-1-122222-1-1-1-1-1-122-1-1-1-2-2222-1-1-1222-1-1-1-1-1-12-1-1-1-22-1-1-122-1-1-1-1-1-122-1-1-122-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-2-2-2-2-2-2-2-2-2111111111111111111111111-22-2-211111122-1-1-1-1-1-10000000000
χ19222-12-1-1222-1-122-1-1-1-12-12-1-12222-12-1-12-1-122-1-1-1-1-12-1-12-12-1-1-1-122-1-1-1-12-12-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-122-1-1-1-10000000000
χ20222-12-1-1222-1-122-1-1-1-12-12-1-12222-12-1-12-1-122-1-1-1-1-12-1-12-12-1-1-1-122-1-1-1-12-12-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-211-2-2111111-2-211110000000000
χ21222-12-1-1222-1-122-1-1-1-12-12-1-1-2-222-12-1-12-1-122-1-1-1-1-12-1-1-2-12-1-1-1-122-1-1-1-12-12-1-1-1-122-1-1-1-11111-2-2-2-211111111-2-2-2-211111111-2-2-2-2-2-2-2-211111111111111112-2-1-122-1-1-1-111-2-211110000000000
χ22222-12-1-1222-1-122-1-1-1-12-12-1-1-2-222-12-1-12-1-122-1-1-1-1-12-1-1-2-12-1-1-1-122-1-1-1-12-12-1-1-1-122-1-1-1-11111-2-2-2-211111111-2-2-2-211111111-2-2-2-2-2-2-2-21111111111111111-2211-2-21111-1-122-1-1-1-10000000000
χ23222-1-12-1222-1-1-1-122-1-12-1-12-12222-1-12-12-1-1-1-122-1-1-1-12-12-1-12-1-1-1-1-122-1-12-1-12-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-10000000000
χ24222-1-12-1222-1-1-1-122-1-12-1-12-12222-1-12-12-1-1-1-122-1-1-1-12-12-1-12-1-1-1-1-122-1-12-1-12-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-2-21111-2-2111111-2-2110000000000
χ25222-1-12-1222-1-1-1-122-1-12-1-12-1-2-222-1-12-12-1-1-1-122-1-1-1-12-1-2-1-12-1-1-1-1-122-1-12-1-12-1-1-1-1-122-1-111111111-2-2-2-21111-2-2-2-21111111111111111-2-2-2-2-2-2-2-2111111112-2-1-1-1-122-1-11111-2-2110000000000
χ26222-1-12-1222-1-1-1-122-1-12-1-12-1-2-222-1-12-12-1-1-1-122-1-1-1-12-1-2-1-12-1-1-1-1-122-1-12-1-12-1-1-1-1-122-1-111111111-2-2-2-21111-2-2-2-21111111111111111-2-2-2-2-2-2-2-211111111-221111-2-211-1-1-1-122-1-10000000000
χ27222-1-1-12222-1-1-1-1-1-1222-1-1-122222-1-1-122-1-1-1-1-1-122-1-1-122-1-1-12-1-1-1-1-1-1222-1-1-12-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-122-1-1-1-1-1-1220000000000
χ28222-1-1-12222-1-1-1-1-1-1222-1-1-122222-1-1-122-1-1-1-1-1-122-1-1-122-1-1-12-1-1-1-1-1-1222-1-1-12-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-2-2111111-2-2111111-2-20000000000
χ29222-1-1-12222-1-1-1-1-1-1222-1-1-12-2-222-1-1-122-1-1-1-1-1-122-1-1-12-2-1-1-12-1-1-1-1-1-1222-1-1-12-1-1-1-1-1-122111111111111-2-2-2-2-2-2-2-2111111111111111111111111-2-2-2-2-2-2-2-22-2-1-1-1-1-1-122111111-2-20000000000
χ30222-1-1-12222-1-1-1-1-1-1222-1-1-12-2-222-1-1-122-1-1-1-1-1-122-1-1-12-2-1-1-12-1-1-1-1-1-1222-1-1-12-1-1-1-1-1-122111111111111-2-2-2-2-2-2-2-2111111111111111111111111-2-2-2-2-2-2-2-2-22111111-2-2-1-1-1-1-1-1220000000000
χ3122-2222222-2-2-2-2-2-2-2-2-22222200222222-2-2-2-2-2-2-2-2-222220222222222222-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000002-200
χ3222-2222222-2-2-2-2-2-2-2-2-22222200222222-2-2-2-2-2-2-2-2-222220222222222222-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000000000000000000000000000-2200
χ3322-222222-22-2-2-2-2-2-2-2-22222222-2-22222-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2222222222222222-2-222-2-222-2-222-2-222-2-22222-2-2-2-22222-2-2-2-22222-2-2-2-22222-2-2-2-20000000000000000000000000000
χ3422-222222-22-2-2-2-2-2-2-2-222222-2-2-2-22222-2-2-2-2-2-2-2-2-222222-2-2-2-2-2-2-2-2-2-2-2-22222222222222-2-222-2-222-2-222-2-222-2-222-2-2-2-22222-2-2-2-22222-2-2-2-22222-2-2-2-222220000000000000000000000000000
χ3522-22222-1-22-2-2-2-2-2-2-2-2-122222211-1-1-1-1111111111-1-1-1-1-2-2-2-2-211111111-12222-1-1-1-1-1-1-1-122-2-222-2-222-2-222-2-2-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111000000000000000000003−33−30000
χ3622-22222-1-22-2-2-2-2-2-2-2-2-122222211-1-1-1-1111111111-1-1-1-1-2-2-2-2-211111111-12222-1-1-1-1-1-1-1-122-2-222-2-222-2-222-2-2-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111100000000000000000000−33−330000
χ3722-22222-1-22-2-2-2-2-2-2-2-2-12222-2-211-1-1-1-1111111111-1-1-1-12-2-2-2-211111111-12222-1-1-1-1-1-1-1-1-2-222-2-222-2-222-2-22211-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1000000000000000000003−3−330000
χ3822-22222-1-22-2-2-2-2-2-2-2-2-12222-2-211-1-1-1-1111111111-1-1-1-12-2-2-2-211111111-12222-1-1-1-1-1-1-1-1-2-222-2-222-2-222-2-22211-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-100000000000000000000−333−30000
χ3922-22-1-1-12-22-2-211111122-1-1-122-2-22-1-1-1-2-2-21111112-1-1-1-2-2111-2-211111122-1-1-122-1-1-1-1-1-122-2-2-1-111-1-111-1-11122-2-22222-2-2-2-2-1-1-1-11111-1-1-1-11111-1-1-1-111110000−i3i3−i3i3−i3i300−i3i3−i3i3−i3i30000000000
χ4022-22-1-1-12-22-2-211111122-1-1-122-2-22-1-1-1-2-2-21111112-1-1-1-2-2111-2-211111122-1-1-122-1-1-1-1-1-122-2-2-1-111-1-111-1-11122-2-22222-2-2-2-2-1-1-1-11111-1-1-1-11111-1-1-1-111110000i3−i3i3−i3i3−i300i3−i3i3−i3i3−i30000000000
χ4122-22-1-1-12-22-2-211111122-1-1-1-2-2-2-22-1-1-1-2-2-21111112-1-1-12-2111-2-211111122-1-1-122-1-1-1-1-1-1-2-22211-1-111-1-111-1-1-2-222-2-2-2-222221111-1-1-1-11111-1-1-1-11111-1-1-1-10000−i3i3−i3i3−i3i300i3−i3i3−i3i3−i30000000000
χ4222-22-1-1-12-22-2-211111122-1-1-1-2-2-2-22-1-1-1-2-2-21111112-1-1-12-2111-2-211111122-1-1-122-1-1-1-1-1-1-2-22211-1-111-1-111-1-1-2-222-2-2-2-222221111-1-1-1-11111-1-1-1-11111-1-1-1-10000i3−i3i3−i3i3−i300−i3i3−i3i3−i3i30000000000
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χ4422-2-12-1-12-2211-2-211112-12-1-122-2-2-12-1-1-211-2-21111-12-1-1-21-21111-2-211112-12-1-1-1-122-1-1-1-1-1-11122-2-2-1-111-1-11122-2-2-1-1-1-111112222-2-2-2-2-1-1-1-11111-1-1-1-1111100i3−i300i3−i3−i3i3i3−i300i3−i3−i3i30000000000
χ4522-2-12-1-12-2211-2-211112-12-1-1-2-2-2-2-12-1-1-211-2-21111-12-1-121-21111-2-211112-12-1-1-1-122-1-1-1-111-1-1-2-22211-1-111-1-1-2-2221111-1-1-1-1-2-2-2-222221111-1-1-1-11111-1-1-1-100−i3i300−i3i3i3−i3i3−i300i3−i3−i3i30000000000
χ4622-2-12-1-12-2211-2-211112-12-1-1-2-2-2-2-12-1-1-211-2-21111-12-1-121-21111-2-211112-12-1-1-1-122-1-1-1-111-1-1-2-22211-1-111-1-1-2-2221111-1-1-1-1-2-2-2-222221111-1-1-1-11111-1-1-1-100i3−i300i3−i3−i3i3−i3i300−i3i3i3−i30000000000
χ4722-2-1-12-12-221111-2-2112-1-12-122-2-2-1-12-1-21111-2-211-1-12-1-211-211111-2-2112-1-12-1-1-1-1-122-1-1-1-111-1-11122-2-2-1-11122-2-2-1-1-1-11111-1-1-1-111112222-2-2-2-2-1-1-1-1111100−i3i3i3−i300−i3i3−i3i3i3−i300−i3i30000000000
χ4822-2-1-12-12-221111-2-2112-1-12-122-2-2-1-12-1-21111-2-211-1-12-1-211-211111-2-2112-1-12-1-1-1-1-122-1-1-1-111-1-11122-2-2-1-11122-2-2-1-1-1-11111-1-1-1-111112222-2-2-2-2-1-1-1-1111100i3−i3−i3i300i3−i3i3−i3−i3i300i3−i30000000000
χ4922-2-1-12-12-221111-2-2112-1-12-1-2-2-2-2-1-12-1-21111-2-211-1-12-1211-211111-2-2112-1-12-1-1-1-1-122-1-111-1-111-1-1-2-22211-1-1-2-2221111-1-1-1-11111-1-1-1-1-2-2-2-222221111-1-1-1-100−i3i3i3−i300−i3i3i3−i3−i3i300i3−i30000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.