Finite Group Databasebeta

← Group #14439096

Character table — Group #14439096

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size1111222222222222224444444444444444444455558888888888888888888888101010101010121212121616161616161616161616162020202020202020242424242424242424244040404040404848484860606060120120
order1222344556661010101010104412121212121215152020202030303030303044442266662020202060606060606060606060606022121212128888101010103030303030303030446612121212244040404040404040441212121210102020888824
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ511111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-1
χ611111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ711111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111
χ811111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1
χ9111111111111111111-1-1-1-1-1-11111111111111111111-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-1-1-1-1-111-1-1-1-11-11111-1-1-1-11-111-1-111-1-111-1-1-11
χ10111111111111111111-1-1-1-1-1-11111111111111111111-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-11111-1-1-1-1-1-111-1-1-1-1-11-1-1-1-111111-111-1-1-1-111-1-1111-1
χ11111111111111111111-1-1-1-1-1-1111111111111111111-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-111111-1-1-1-1-11-1-111-1-11111-1-11-1
χ12111111111111111111-1-1-1-1-1-1111111111111111111-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1-1-11111-1-111-1-1-1-11-1-1-1-1-11111-11-1-11111-1-1-1-111-11
χ13111111111111111111-1-1-1-1-1-111111111111111-1-1-1-11-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-111-1-111111-11111-1-1-1-1-11-1-11111-1-1-1-1111-1
χ14111111111111111111-1-1-1-1-1-111111111111111-1-1-1-11-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-11111-11-1-1-1-11111-11-1-111-1-11111-1-1-11
χ15111111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1111111-1-11111-111111-1-1-1-11-111-1-1-1-111-1-111-11
χ16111111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111-1-111111-1-1-1-1-111111-111-1-111-1-111-1-11-1
χ172222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+5222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+520000222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000002222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000022−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000−1−52−1+52−1−52−1+52000000
χ182222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+5222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+520000222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000000-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000-2-21+521+521−521−521+521+521−521−520000001+521−521+521−52000000
χ192222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+5222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+520000-2-2-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200000022221+521−521+521−521+521+521−521−521+521+521−521−5200000000-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000001+521−521+521−52000000
χ202222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+5222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+520000-2-2-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000000-2-2-2-21+521−521+521−521+521+521−521−521+521+521−521−5200000000221+521+521−521−521+521+521−521−52000000−1−52−1+52−1−52−1+52000000
χ212222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+5200002-222-2-21+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−5200000022-2-2−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−52000000002-2−1−52−1−52−1+52−1+521+521+521−521−52000000−1−52−1+521+521−52000000
χ222222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+5200002-222-2-21+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52000000-2-222−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−5200000000-221+521+521−521−52−1−52−1−52−1+52−1+520000001+521−52−1−52−1+52000000
χ232222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+520000-22-2-2221+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−5200000022-2-21+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200000000-22−1−52−1−52−1+52−1+521+521+521−521−520000001+521−52−1−52−1+52000000
χ242222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+520000-22-2-2221+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52000000-2-2221+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52000000002-21+521+521−521−52−1−52−1−52−1+52−1+52000000−1−52−1+521+521−52000000
χ252222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−5222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−520000222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000002222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000022−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000−1+52−1−52−1+52−1−52000000
χ262222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−5222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−520000222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000-2-21−521−521+521+521−521−521+521+520000001−521+521−521+52000000
χ272222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−5222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−520000-2-2-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200000022221−521+521−521+521−521−521+521+521−521−521+521+5200000000-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000001−521+521−521+52000000
χ282222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−5222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−520000-2-2-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000-2-2-2-21−521+521−521+521−521−521+521+521−521−521+521+5200000000221−521−521+521+521−521−521+521+52000000−1+52−1−52−1+52−1−52000000
χ292222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−5200002-222-2-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+5200000022-2-2−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+52000000002-2−1+52−1+52−1−52−1−521−521−521+521+52000000−1+52−1−521−521+52000000
χ302222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−5200002-222-2-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52000000-2-222−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+5200000000-221−521−521+521+52−1+52−1+52−1−52−1−520000001−521+52−1+52−1−52000000
χ312222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−520000-22-2-2221−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+5200000022-2-21−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200000000-22−1+52−1+52−1−52−1−521−521−521+521+520000001−521+52−1+52−1−52000000
χ322222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−520000-22-2-2221−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52000000-2-2221−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52000000002-21−521−521+521+52−1+52−1+52−1−52−1−52000000−1+52−1−521−521+52000000
χ3322222-2-2222222222222-222-2-2-2-222-2-2-2-222222222220000002-22-2-2-2-2-222-2-222-2-2-2-2222200000000000000002-2-2-222-2-200000000000000000000000000
χ3422222-2-2222222222222-222-2-2-2-222-2-2-2-2222222-2-2-2-20000002-22-2-2-2-2-222-2-222-2-222-2-2-2-20000000000000000-2222-2-22200000000000000000000000000
χ3522222-2-222222222222-22-2-222-2-222-2-2-2-22222222222000000-22-22-2-2-2-2-2-222-2-222-2-222220000000000000000-22-2-2-2-22200000000000000000000000000
χ3622222-2-222222222222-22-2-222-2-222-2-2-2-2222222-2-2-2-2000000-22-22-2-2-2-2-2-222-2-22222-2-2-2-200000000000000002-22222-2-200000000000000000000000000
χ372222-12222-1-1-122222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-100002222-1-1-1-1-1-1-1-122-1-1-1-1-1-1000000000022-1-1-1-10000000000
χ382222-12222-1-1-122222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-12222-2-211112222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-10000-2-2-2-21111111122-1-1-1-1-1-10000000000-2-211110000000000
χ392222-12222-1-1-122222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-2-2-2-222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2111100002222-1-1-1-1-1-1-1-1-2-21111110000000000-2-211110000000000
χ402222-12222-1-1-122222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-2-2-2-2-2-211112222-1-1-1-1-1-1-1-1-1-1-1-1-2-211110000-2-2-2-211111111-2-2111111000000000022-1-1-1-10000000000
χ412222-12222-1-1-1222222-2-21111-1-1-1-12222-1-1-1-1-1-122222-2-1-111-2-2-2-2-1-1-1-11111111122-1-1-1-1000022-2-2-1-1-1-11111-2-2-1-1111100000000002-2-1-1110000000000
χ422222-12222-1-1-1222222-2-21111-1-1-1-12222-1-1-1-1-1-12222-2211-1-1-2-2-2-2-1-1-1-11111111122-1-1-1-10000-2-2221111-1-1-1-1-2-2-1-111110000000000-2211-1-10000000000
χ432222-12222-1-1-1222222-2-21111-1-1-1-12222-1-1-1-1-1-1-2-2-2-22-2-1-111-2-2-2-2-1-1-1-111111111-2-21111000022-2-2-1-1-1-111112211-1-1-1-10000000000-2211-1-10000000000
χ442222-12222-1-1-1222222-2-21111-1-1-1-12222-1-1-1-1-1-1-2-2-2-2-2211-1-1-2-2-2-2-1-1-1-111111111-2-211110000-2-2221111-1-1-1-12211-1-1-1-100000000002-2-1-1110000000000
χ452222-1-2-222-1-1-12222222-2-1-11111-1-1-2-2-2-2-1-1-1-1-1-1222200−i3i3−i3i32-22-21111-1-111-1-111-2-2-1-1-1-100000000−i3i3−i3i3−i3i3−i3i32-211-1-111000000000000−i3i3−i3i30000000000
χ462222-1-2-222-1-1-12222222-2-1-11111-1-1-2-2-2-2-1-1-1-1-1-1222200i3−i3i3−i32-22-21111-1-111-1-111-2-2-1-1-1-100000000i3−i3i3−i3i3−i3i3−i32-211-1-111000000000000i3−i3i3−i30000000000
χ472222-1-2-222-1-1-12222222-2-1-11111-1-1-2-2-2-2-1-1-1-1-1-1-2-2-2-200−i3i3−i3i32-22-21111-1-111-1-11122111100000000−i3i3−i3i3−i3i3−i3i3-22-1-111-1-1000000000000i3−i3i3−i30000000000
χ482222-1-2-222-1-1-12222222-2-1-11111-1-1-2-2-2-2-1-1-1-1-1-1-2-2-2-200i3−i3i3−i32-22-21111-1-111-1-11122111100000000i3−i3i3−i3i3−i3i3−i3-22-1-111-1-1000000000000−i3i3−i3i30000000000
χ492222-1-2-222-1-1-1222222-2211-1-111-1-1-2-2-2-2-1-1-1-1-1-1222200−i3i3i3−i3-22-22111111-1-111-1-1-2-2-1-1-1-100000000−i3i3−i3i3i3−i3i3−i3-221111-1-1000000000000−i3i3i3−i30000000000
χ502222-1-2-222-1-1-1222222-2211-1-111-1-1-2-2-2-2-1-1-1-1-1-1222200i3−i3−i3i3-22-22111111-1-111-1-1-2-2-1-1-1-100000000i3−i3i3−i3−i3i3−i3i3-221111-1-1000000000000i3−i3−i3i30000000000
χ512222-1-2-222-1-1-1222222-2211-1-111-1-1-2-2-2-2-1-1-1-1-1-1-2-2-2-200−i3i3i3−i3-22-22111111-1-111-1-122111100000000−i3i3−i3i3i3−i3i3−i32-2-1-1-1-111000000000000i3−i3−i3i30000000000
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χ1168-88-8-400−2+25−2−254-442−25−2+252+25−2−252−252+2500004i3−4i3001−51+50000−1+5−1+51−5−1−5−1−51+500000000000000000000−2ζ2+2ζ22−2ζ38+2ζ582ζ2−2ζ22+2ζ38−2ζ5800−2ζ14−2ζ26+2ζ34+2ζ462ζ14+2ζ26−2ζ34−2ζ4600000000000000000000000000000000000000000000000000000000
χ1178-8-88-48-8−2−25−2+2544-42+252+252−252−25−2−25−2+25000000-441+51−5−2−252+25−2+252−251+5−1−5−1−51−5−1+5−1+5000000000000001+5−1−51−5−1+50000000000000000000000000000000000000000000000000000000000000000
χ1188-8-88-48-8−2+25−2−2544-42−252−252+252+25−2+25−2−25000000-441−51+5−2+252−25−2−252+251−5−1+5−1+51+5−1−5−1−5000000000000001−5−1+51+5−1−50000000000000000000000000000000000000000000000000000000000000000
χ1198-8-88-4-88−2−25−2+2544-42+252+252−252−25−2−25−2+250000004-41+51−52+25−2−252−25−2+251+5−1−5−1−51−5−1+5−1+500000000000000−1−51+5−1+51−50000000000000000000000000000000000000000000000000000000000000000
χ1208-8-88-4-88−2+25−2−2544-42−252−252+252+25−2+25−2−250000004-41−51+52−25−2+252+25−2−251−5−1+5−1+51+5−1−5−1−500000000000000−1+51−5−1−51+50000000000000000000000000000000000000000000000000000000000000000

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