Finite Group Databasebeta

← Group #14331715

Character table — Group #14331715

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168
size1111111122222222444444444444444444121212121212121222222222444444448888888888888888882424242424242424222222224444444488888888888888888824242424242424245555555510101010101010102020202020202020202020202020202020206060606060606060
order1222222236666666444444121212121212121212121212224444445101010101010101530303030303030202020202020606060606060606060606060101020202020202051010101010101015303030303030302020202020206060606060606060606060601010202020202020222222226666666644444412121212121212121212121222444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111111111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111111111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111111111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1
χ61111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111
χ71111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ81111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1
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χ1022222222-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-1111111110000000022222222-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-1111111110000000022222222-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-1111111110000000022222222-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-11111111100000000
χ1122222222-1-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-111110000000022222222-1-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-111110000000022222222-1-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-111110000000022222222-1-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-1111100000000
χ1222222222-1-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-10000000022222222-1-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-10000000022222222-1-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-10000000022222222-1-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-100000000
χ132222-2-2-2-22222-2-2-2-20000000000000000002-20000002222-2-2-2-22222-2-2-2-20000000000000000002-20000002222-2-2-2-22222-2-2-2-20000000000000000002-20000002222-2-2-2-22222-2-2-2-20000000000000000002-2000000
χ142222-2-2-2-22222-2-2-2-2000000000000000000-220000002222-2-2-2-22222-2-2-2-2000000000000000000-220000002222-2-2-2-22222-2-2-2-2000000000000000000-220000002222-2-2-2-22222-2-2-2-2000000000000000000-22000000
χ1522-2-222-2-222-2-222-2-200002i−2i000000002i2i−2i−2i0000000022-2-222-2-222-2-222-2-200002i−2i000000002i2i−2i−2i0000000022-2-222-2-222-2-222-2-200002i−2i000000002i2i−2i−2i0000000022-2-222-2-222-2-222-2-200002i−2i000000002i2i−2i−2i00000000
χ1622-2-222-2-222-2-222-2-20000−2i2i00000000−2i−2i2i2i0000000022-2-222-2-222-2-222-2-20000−2i2i00000000−2i−2i2i2i0000000022-2-222-2-222-2-222-2-20000−2i2i00000000−2i−2i2i2i0000000022-2-222-2-222-2-222-2-20000−2i2i00000000−2i−2i2i2i00000000
χ1722-2-222-2-2-1-111-1-11100002i−2i−i3−i3i3i333−3−3−i−iii0000000022-2-222-2-2-1-111-1-11100002i−2i−i3−i3i3i333−3−3−i−iii0000000022-2-222-2-2-1-111-1-11100002i−2i−i3−i3i3i333−3−3−i−iii0000000022-2-222-2-2-1-111-1-11100002i−2i−i3−i3i3i333−3−3−i−iii00000000
χ1822-2-222-2-2-1-111-1-11100002i−2ii3i3−i3−i3−3−333−i−iii0000000022-2-222-2-2-1-111-1-11100002i−2ii3i3−i3−i3−3−333−i−iii0000000022-2-222-2-2-1-111-1-11100002i−2ii3i3−i3−i3−3−333−i−iii0000000022-2-222-2-2-1-111-1-11100002i−2ii3i3−i3−i3−3−333−i−iii00000000
χ1922-2-222-2-2-1-111-1-1110000−2i2i−i3−i3i3i3−3−333ii−i−i0000000022-2-222-2-2-1-111-1-1110000−2i2i−i3−i3i3i3−3−333ii−i−i0000000022-2-222-2-2-1-111-1-1110000−2i2i−i3−i3i3i3−3−333ii−i−i0000000022-2-222-2-2-1-111-1-1110000−2i2i−i3−i3i3i3−3−333ii−i−i00000000
χ2022-2-222-2-2-1-111-1-1110000−2i2ii3i3−i3−i333−3−3ii−i−i0000000022-2-222-2-2-1-111-1-1110000−2i2ii3i3−i3−i333−3−3ii−i−i0000000022-2-222-2-2-1-111-1-1110000−2i2ii3i3−i3−i333−3−3ii−i−i0000000022-2-222-2-2-1-111-1-1110000−2i2ii3i3−i3−i333−3−3ii−i−i00000000
χ2122-2-2-2-22222-2-2-2-2220000000000000000000000002-222-2-2-2-22222-2-2-2-2220000000000000000000000002-222-2-2-2-22222-2-2-2-2220000000000000000000000002-222-2-2-2-22222-2-2-2-2220000000000000000000000002-2
χ2222-2-2-2-22222-2-2-2-222000000000000000000000000-2222-2-2-2-22222-2-2-2-222000000000000000000000000-2222-2-2-2-22222-2-2-2-222000000000000000000000000-2222-2-2-2-22222-2-2-2-222000000000000000000000000-22
χ232-22-22-22-22-22-22-22-2002i−2i0000002i−2i2i−2i0000000000002-22-22-22-22-22-22-22-2002i−2i0000002i−2i2i−2i0000000000002-22-22-22-22-22-22-22-2002i−2i0000002i−2i2i−2i0000000000002-22-22-22-22-22-22-22-2002i−2i0000002i−2i2i−2i000000000000
χ242-22-22-22-22-22-22-22-200−2i2i000000−2i2i−2i2i0000000000002-22-22-22-22-22-22-22-200−2i2i000000−2i2i−2i2i0000000000002-22-22-22-22-22-22-22-200−2i2i000000−2i2i−2i2i0000000000002-22-22-22-22-22-22-22-200−2i2i000000−2i2i−2i2i000000000000
χ252-22-22-22-2-11-11-11-11002i−2i003−33−3−ii−ii−i3i3−i3i3000000002-22-22-22-2-11-11-11-11002i−2i003−33−3−ii−ii−i3i3−i3i3000000002-22-22-22-2-11-11-11-11002i−2i003−33−3−ii−ii−i3i3−i3i3000000002-22-22-22-2-11-11-11-11002i−2i003−33−3−ii−ii−i3i3−i3i300000000
χ262-22-22-22-2-11-11-11-11002i−2i00−33−33−ii−iii3−i3i3−i3000000002-22-22-22-2-11-11-11-11002i−2i00−33−33−ii−iii3−i3i3−i3000000002-22-22-22-2-11-11-11-11002i−2i00−33−33−ii−iii3−i3i3−i3000000002-22-22-22-2-11-11-11-11002i−2i00−33−33−ii−iii3−i3i3−i300000000
χ272-22-22-22-2-11-11-11-1100−2i2i003−33−3i−ii−ii3−i3i3−i3000000002-22-22-22-2-11-11-11-1100−2i2i003−33−3i−ii−ii3−i3i3−i3000000002-22-22-22-2-11-11-11-1100−2i2i003−33−3i−ii−ii3−i3i3−i3000000002-22-22-22-2-11-11-11-1100−2i2i003−33−3i−ii−ii3−i3i3−i300000000
χ282-22-22-22-2-11-11-11-1100−2i2i00−33−33i−ii−i−i3i3−i3i3000000002-22-22-22-2-11-11-11-1100−2i2i00−33−33i−ii−i−i3i3−i3i3000000002-22-22-22-2-11-11-11-1100−2i2i00−33−33i−ii−i−i3i3−i3i3000000002-22-22-22-2-11-11-11-1100−2i2i00−33−33i−ii−i−i3i3−i3i300000000
χ292-22-2-22-222-22-2-22-2200000000000000000000002-2002-22-2-22-222-22-2-22-2200000000000000000000002-2002-22-2-22-222-22-2-22-2200000000000000000000002-2002-22-2-22-222-22-2-22-2200000000000000000000002-200
χ302-22-2-22-222-22-2-22-220000000000000000000000-22002-22-2-22-222-22-2-22-220000000000000000000000-22002-22-2-22-222-22-2-22-220000000000000000000000-22002-22-2-22-222-22-2-22-220000000000000000000000-2200
χ312-2-222-2-222-2-222-2-222i−2i00002i−2i−2i2i00000000000000002-2-222-2-222-2-222-2-222i−2i00002i−2i−2i2i00000000000000002-2-222-2-222-2-222-2-222i−2i00002i−2i−2i2i00000000000000002-2-222-2-222-2-222-2-222i−2i00002i−2i−2i2i0000000000000000
χ322-2-222-2-222-2-222-2-22−2i2i0000−2i2i2i−2i00000000000000002-2-222-2-222-2-222-2-22−2i2i0000−2i2i2i−2i00000000000000002-2-222-2-222-2-222-2-22−2i2i0000−2i2i2i−2i00000000000000002-2-222-2-222-2-222-2-22−2i2i0000−2i2i2i−2i0000000000000000
χ332-2-222-2-22-111-1-111-12i−2i0000−iii−i−i3i3i3−i3−333−3000000002-2-222-2-22-111-1-111-12i−2i0000−iii−i−i3i3i3−i3−333−3000000002-2-222-2-22-111-1-111-12i−2i0000−iii−i−i3i3i3−i3−333−3000000002-2-222-2-22-111-1-111-12i−2i0000−iii−i−i3i3i3−i3−333−300000000
χ342-2-222-2-22-111-1-111-12i−2i0000−iii−ii3−i3−i3i33−3−33000000002-2-222-2-22-111-1-111-12i−2i0000−iii−ii3−i3−i3i33−3−33000000002-2-222-2-22-111-1-111-12i−2i0000−iii−ii3−i3−i3i33−3−33000000002-2-222-2-22-111-1-111-12i−2i0000−iii−ii3−i3−i3i33−3−3300000000
χ352-2-222-2-22-111-1-111-1−2i2i0000i−i−ii−i3i3i3−i33−3−33000000002-2-222-2-22-111-1-111-1−2i2i0000i−i−ii−i3i3i3−i33−3−33000000002-2-222-2-22-111-1-111-1−2i2i0000i−i−ii−i3i3i3−i33−3−33000000002-2-222-2-22-111-1-111-1−2i2i0000i−i−ii−i3i3i3−i33−3−3300000000
χ362-2-222-2-22-111-1-111-1−2i2i0000i−i−iii3−i3−i3i3−333−3000000002-2-222-2-22-111-1-111-1−2i2i0000i−i−iii3−i3−i3i3−333−3000000002-2-222-2-22-111-1-111-1−2i2i0000i−i−iii3−i3−i3i3−333−3000000002-2-222-2-22-111-1-111-1−2i2i0000i−i−iii3−i3−i3i3−333−300000000
χ372-2-22-222-22-2-22-222-2000000000000000000002-200002-2-22-222-22-2-22-222-2000000000000000000002-200002-2-22-222-22-2-22-222-2000000000000000000002-200002-2-22-222-22-2-22-222-2000000000000000000002-20000
χ382-2-22-222-22-2-22-222-200000000000000000000-2200002-2-22-222-22-2-22-222-200000000000000000000-2200002-2-22-222-22-2-22-222-200000000000000000000-2200002-2-22-222-22-2-22-222-200000000000000000000-220000
χ394444-4-4-4-4-2-2-2-22222000000000000000000000000004444-4-4-4-4-2-2-2-22222000000000000000000000000004444-4-4-4-4-2-2-2-22222000000000000000000000000004444-4-4-4-4-2-2-2-2222200000000000000000000000000
χ4044-4-4-4-444-2-22222-2-20000000000000000000000000044-4-4-4-444-2-22222-2-20000000000000000000000000044-4-4-4-444-2-22222-2-20000000000000000000000000044-4-4-4-444-2-22222-2-200000000000000000000000000
χ414-44-4-44-44-22-222-22-2000000000000000000000000004-44-4-44-44-22-222-22-2000000000000000000000000004-44-4-44-44-22-222-22-2000000000000000000000000004-44-4-44-44-22-222-22-200000000000000000000000000
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χ43111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ441111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ45111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111
χ46111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1
χ471111111111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111111111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111111111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-111-1-111
χ481111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1111111-1-111-1-1
χ491111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-11111-1-1
χ501111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-111-1-1-1-111
χ5122222222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-10000000022222222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-10000000022222222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-2-2-2-2-211111111-2-2-2-2-2-211111111111100000000
χ5222222222-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-1111111110000000022222222-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-1111111110000000022222222-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-11111111100000000-2-2-2-2-2-2-2-211111111-2-222221111-1-1-1-1-1-1-1-100000000
χ5322222222-1-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-111110000000022222222-1-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-111110000000022222222-1-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-1111100000000-2-2-2-2-2-2-2-21111111122-2-222-1-1-1-11111-1-1-1-100000000
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χ1634-4-44-444-44-4-44-444-4000000000000000000004-40000−1−51+51+5−1−51+5−1−5−1−51+5−1−51+51+5−1−51+5−1−5−1−51+500000000000000000000−1−51+50000−1+51−51−5−1+51−5−1+5−1+51−5−1+51−51−5−1+51−5−1+5−1+51−500000000000000000000−1+51−50000000000000000000000000000000000000000000000
χ1644-4-44-444-44-4-44-444-400000000000000000000-440000−1−51+51+5−1−51+5−1−5−1−51+5−1−51+51+5−1−51+5−1−5−1−51+5000000000000000000001+5−1−50000−1+51−51−5−1+51−5−1+5−1+51−5−1+51−51−5−1+51−5−1+5−1+51−5000000000000000000001−5−1+50000000000000000000000000000000000000000000000
χ1658888-8-8-8-8-4-4-4-4444400000000000000000000000000−2−25−2−25−2−25−2−252+252+252+252+251+51+51+51+5−1−5−1−5−1−5−1−500000000000000000000000000−2+25−2+25−2+25−2+252−252−252−252−251−51−51−51−5−1+5−1+5−1+5−1+500000000000000000000000000000000000000000000000000000000000000000000
χ16688-8-8-8-888-4-44444-4-400000000000000000000000000−2−25−2−252+252+252+252+25−2−25−2−251+51+5−1−5−1−5−1−5−1−51+51+500000000000000000000000000−2+25−2+252−252−252−252−25−2+25−2+251−51−5−1+5−1+5−1+5−1+51−51−500000000000000000000000000000000000000000000000000000000000000000000
χ1678-88-8-88-88-44-444-44-400000000000000000000000000−2−252+25−2−252+252+25−2−252+25−2−251+5−1−51+5−1−5−1−51+5−1−51+500000000000000000000000000−2+252−25−2+252−252−25−2+252−25−2+251−5−1+51−5−1+5−1+51−5−1+51−500000000000000000000000000000000000000000000000000000000000000000000
χ1688-8-88-888-8-444-44-4-4400000000000000000000000000−2−252+252+25−2−252+25−2−25−2−252+251+5−1−5−1−51+5−1−51+51+5−1−500000000000000000000000000−2+252−252−25−2+252−25−2+25−2+252−251−5−1+5−1+51−5−1+51−51−5−1+500000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.