Finite Group Databasebeta

← Group #14437899

Character table — Group #14437899

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size1111222222444444448888881212121224242222444444888888881616161616162424242448482222444444888888881616161616162424242448485555101010101010202020202020202040404040404060606060120120
order12223446664412121212121224661212888844510101015202030303020206060606060601020303060604040404020205101010152020303030202060606060606010203030606040404040202022226446664412121212121224661212888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1
χ3111111111111111111-1-1-1-1-1-11111-1-1111111111111111111-1-1-1-1-1-11111-1-1111111111111111111-1-1-1-1-1-11111-1-1111111111111111111-1-1-1-1-1-11111-1-1
χ4111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-111
χ51111111111-1-1-1-1-1-1111-111-1-111-1-11-11111111111-1-1-1-1-1-1111-111-1-111-1-11-11111111111-1-1-1-1-1-1111-111-1-111-1-11-11111111111-1-1-1-1-1-1111-111-1-111-1-11-1
χ61111111111-1-1-1-1-1-1111-111-1-1-1-111-111111111111-1-1-1-1-1-1111-111-1-1-1-111-111111111111-1-1-1-1-1-1111-111-1-1-1-111-111111111111-1-1-1-1-1-1111-111-1-1-1-111-11
χ71111111111-1-1-1-1-1-111-11-1-11111-1-1-111111111111-1-1-1-1-1-111-11-1-11111-1-1-111111111111-1-1-1-1-1-111-11-1-11111-1-1-111111111111-1-1-1-1-1-111-11-1-11111-1-1-11
χ81111111111-1-1-1-1-1-111-11-1-111-1-1111-11111111111-1-1-1-1-1-111-11-1-111-1-1111-11111111111-1-1-1-1-1-111-11-1-111-1-1111-11111111111-1-1-1-1-1-111-11-1-111-1-1111-1
χ922222-2-22222-222-2-2-2-200000000000022222-2-22222-222-2-2-2-200000000000022222-2-22222-222-2-2-2-200000000000022222-2-22222-222-2-2-2-2000000000000
χ1022222-2-2222-22-2-222-2-200000000000022222-2-2222-22-2-222-2-200000000000022222-2-2222-22-2-222-2-200000000000022222-2-2222-22-2-222-2-2000000000000
χ112222-122-1-1-122-1-1-1-1-1-122-1-1-1-10000002222-122-1-1-122-1-1-1-1-1-122-1-1-1-10000002222-122-1-1-122-1-1-1-1-1-122-1-1-1-10000002222-122-1-1-122-1-1-1-1-1-122-1-1-1-1000000
χ122222-122-1-1-122-1-1-1-1-1-1-2-211110000002222-122-1-1-122-1-1-1-1-1-1-2-211110000002222-122-1-1-122-1-1-1-1-1-1-2-211110000002222-122-1-1-122-1-1-1-1-1-1-2-21111000000
χ132222-122-1-1-1-2-21111-1-12-2-1-1110000002222-122-1-1-1-2-21111-1-12-2-1-1110000002222-122-1-1-1-2-21111-1-12-2-1-1110000002222-122-1-1-1-2-21111-1-12-2-1-111000000
χ142222-122-1-1-1-2-21111-1-1-2211-1-10000002222-122-1-1-1-2-21111-1-1-2211-1-10000002222-122-1-1-1-2-21111-1-1-2211-1-10000002222-122-1-1-1-2-21111-1-1-2211-1-1000000
χ152222-1-2-2-1-1-12-2-1-1111100−i3i3−i3i30000002222-1-2-2-1-1-12-2-1-1111100−i3i3−i3i30000002222-1-2-2-1-1-12-2-1-1111100−i3i3−i3i30000002222-1-2-2-1-1-12-2-1-1111100−i3i3−i3i3000000
χ162222-1-2-2-1-1-12-2-1-1111100i3−i3i3−i30000002222-1-2-2-1-1-12-2-1-1111100i3−i3i3−i30000002222-1-2-2-1-1-12-2-1-1111100i3−i3i3−i30000002222-1-2-2-1-1-12-2-1-1111100i3−i3i3−i3000000
χ172222-1-2-2-1-1-1-2211-1-11100−i3i3i3−i30000002222-1-2-2-1-1-1-2211-1-11100−i3i3i3−i30000002222-1-2-2-1-1-1-2211-1-11100−i3i3i3−i30000002222-1-2-2-1-1-1-2211-1-11100−i3i3i3−i3000000
χ182222-1-2-2-1-1-1-2211-1-11100i3−i3−i3i30000002222-1-2-2-1-1-1-2211-1-11100i3−i3−i3i30000002222-1-2-2-1-1-1-2211-1-11100i3−i3−i3i30000002222-1-2-2-1-1-1-2211-1-11100i3−i3−i3i3000000
χ192-22-222-2-2-220000002-2000000002i−2i002-22-222-2-2-220000002-2000000002i−2i002-22-222-2-2-220000002-2000000002i−2i002-22-222-2-2-220000002-2000000002i−2i00
χ202-22-222-2-2-220000002-200000000−2i2i002-22-222-2-2-220000002-200000000−2i2i002-22-222-2-2-220000002-200000000−2i2i002-22-222-2-2-220000002-200000000−2i2i00
χ212-22-22-22-2-22000000-220000002i−2i00002-22-22-22-2-22000000-220000002i−2i00002-22-22-22-2-22000000-220000002i−2i00002-22-22-22-2-22000000-220000002i−2i0000
χ222-22-22-22-2-22000000-22000000−2i2i00002-22-22-22-2-22000000-22000000−2i2i00002-22-22-22-2-22000000-22000000−2i2i00002-22-22-22-2-22000000-22000000−2i2i0000
χ2344-4-44004-4-40000000000000000000044-4-44004-4-40000000000000000000044-4-44004-4-40000000000000000000044-4-44004-4-400000000000000000000
χ2444-4-4-200-222000023−230000000000000044-4-4-200-222000023−230000000000000044-4-4-200-222000023−230000000000000044-4-4-200-222000023−2300000000000000
χ2544-4-4-200-2220000−23230000000000000044-4-4-200-2220000−23230000000000000044-4-4-200-2220000−23230000000000000044-4-4-200-2220000−232300000000000000
χ264-44-4-24-422-2000000-220000000000004-44-4-24-422-2000000-220000000000004-44-4-24-422-2000000-220000000000004-44-4-24-422-2000000-22000000000000
χ274-44-4-2-4422-20000002-20000000000004-44-4-2-4422-20000002-20000000000004-44-4-2-4422-20000002-20000000000004-44-4-2-4422-20000002-2000000000000
χ284-4-44400-44-4000000000000000000004-4-44400-44-4000000000000000000004-4-44400-44-4000000000000000000004-4-44400-44-400000000000000000000
χ294-4-44-2002-220023−2300000000000000004-4-44-2002-220023−2300000000000000004-4-44-2002-220023−2300000000000000004-4-44-2002-220023−230000000000000000
χ304-4-44-2002-2200−232300000000000000004-4-44-2002-2200−232300000000000000004-4-44-2002-2200−232300000000000000004-4-44-2002-2200−23230000000000000000
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ32111111111111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ33111111111111111111-1-1-1-1-1-11111-1-1111111111111111111-1-1-1-1-1-11111-1-1111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111
χ34111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ351111111111-1-1-1-1-1-1111-111-1-111-1-11-11111111111-1-1-1-1-1-1111-111-1-111-1-11-11111111111-1-1-1-1-1-1111-111-1-111-1-11-1-1-1-1-1-1-1-1-1-1-1111111-1-1-11-1-111-1-111-11
χ361111111111-1-1-1-1-1-1111-111-1-1-1-111-111111111111-1-1-1-1-1-1111-111-1-1-1-111-111111111111-1-1-1-1-1-1111-111-1-1-1-111-11-1-1-1-1-1-1-1-1-1-1111111-1-1-11-1-11111-1-11-1
χ371111111111-1-1-1-1-1-111-11-1-11111-1-1-111111111111-1-1-1-1-1-111-11-1-11111-1-1-111111111111-1-1-1-1-1-111-11-1-11111-1-1-11-1-1-1-1-1-1-1-1-1-1111111-1-11-111-1-1-1-1111-1
χ381111111111-1-1-1-1-1-111-11-1-111-1-1111-11111111111-1-1-1-1-1-111-11-1-111-1-1111-11111111111-1-1-1-1-1-111-11-1-111-1-1111-1-1-1-1-1-1-1-1-1-1-1111111-1-11-111-1-111-1-1-11
χ3922222-2-22222-222-2-2-2-200000000000022222-2-22222-222-2-2-2-200000000000022222-2-22222-222-2-2-2-2000000000000-2-2-2-2-222-2-2-2-22-2-22222000000000000
χ4022222-2-2222-22-2-222-2-200000000000022222-2-2222-22-2-222-2-200000000000022222-2-2222-22-2-222-2-2000000000000-2-2-2-2-222-2-2-22-222-2-222000000000000
χ412222-122-1-1-122-1-1-1-1-1-122-1-1-1-10000002222-122-1-1-122-1-1-1-1-1-122-1-1-1-10000002222-122-1-1-122-1-1-1-1-1-122-1-1-1-1000000-2-2-2-21-2-2111-2-2111111-2-21111000000
χ422222-122-1-1-122-1-1-1-1-1-1-2-211110000002222-122-1-1-122-1-1-1-1-1-1-2-211110000002222-122-1-1-122-1-1-1-1-1-1-2-21111000000-2-2-2-21-2-2111-2-211111122-1-1-1-1000000
χ432222-122-1-1-1-2-21111-1-12-2-1-1110000002222-122-1-1-1-2-21111-1-12-2-1-1110000002222-122-1-1-1-2-21111-1-12-2-1-111000000-2-2-2-21-2-211122-1-1-1-111-2211-1-1000000
χ442222-122-1-1-1-2-21111-1-1-2211-1-10000002222-122-1-1-1-2-21111-1-1-2211-1-10000002222-122-1-1-1-2-21111-1-1-2211-1-1000000-2-2-2-21-2-211122-1-1-1-1112-2-1-111000000
χ452222-1-2-2-1-1-12-2-1-1111100−i3i3−i3i30000002222-1-2-2-1-1-12-2-1-1111100−i3i3−i3i30000002222-1-2-2-1-1-12-2-1-1111100−i3i3−i3i3000000-2-2-2-2122111-2211-1-1-1-100i3−i3i3−i3000000
χ462222-1-2-2-1-1-12-2-1-1111100i3−i3i3−i30000002222-1-2-2-1-1-12-2-1-1111100i3−i3i3−i30000002222-1-2-2-1-1-12-2-1-1111100i3−i3i3−i3000000-2-2-2-2122111-2211-1-1-1-100−i3i3−i3i3000000
χ472222-1-2-2-1-1-1-2211-1-11100−i3i3i3−i30000002222-1-2-2-1-1-1-2211-1-11100−i3i3i3−i30000002222-1-2-2-1-1-1-2211-1-11100−i3i3i3−i3000000-2-2-2-21221112-2-1-111-1-100i3−i3−i3i3000000
χ482222-1-2-2-1-1-1-2211-1-11100i3−i3−i3i30000002222-1-2-2-1-1-1-2211-1-11100i3−i3−i3i30000002222-1-2-2-1-1-1-2211-1-11100i3−i3−i3i3000000-2-2-2-21221112-2-1-111-1-100−i3i3i3−i3000000
χ492-22-222-2-2-220000002-2000000002i−2i002-22-222-2-2-220000002-2000000002i−2i002-22-222-2-2-220000002-2000000002i−2i00-22-22-2-2222-2000000-2200000000−2i2i00
χ502-22-222-2-2-220000002-200000000−2i2i002-22-222-2-2-220000002-200000000−2i2i002-22-222-2-2-220000002-200000000−2i2i00-22-22-2-2222-2000000-22000000002i−2i00
χ512-22-22-22-2-22000000-220000002i−2i00002-22-22-22-2-22000000-220000002i−2i00002-22-22-22-2-22000000-220000002i−2i0000-22-22-22-222-20000002-2000000−2i2i0000
χ522-22-22-22-2-22000000-22000000−2i2i00002-22-22-22-2-22000000-22000000−2i2i00002-22-22-22-2-22000000-22000000−2i2i0000-22-22-22-222-20000002-20000002i−2i0000
χ5344-4-44004-4-40000000000000000000044-4-44004-4-40000000000000000000044-4-44004-4-400000000000000000000-4-444-400-44400000000000000000000
χ5444-4-4-200-222000023−230000000000000044-4-4-200-222000023−230000000000000044-4-4-200-222000023−2300000000000000-4-4442002-2-20000−232300000000000000
χ5544-4-4-200-2220000−23230000000000000044-4-4-200-2220000−23230000000000000044-4-4-200-2220000−232300000000000000-4-4442002-2-2000023−2300000000000000
χ564-44-4-24-422-2000000-220000000000004-44-4-24-422-2000000-220000000000004-44-4-24-422-2000000-22000000000000-44-442-44-2-220000002-2000000000000
χ574-44-4-2-4422-20000002-20000000000004-44-4-2-4422-20000002-20000000000004-44-4-2-4422-20000002-2000000000000-44-4424-4-2-22000000-22000000000000
χ584-4-44400-44-4000000000000000000004-4-44400-44-4000000000000000000004-4-44400-44-400000000000000000000-444-4-4004-4400000000000000000000
χ594-4-44-2002-220023−2300000000000000004-4-44-2002-220023−2300000000000000004-4-44-2002-220023−230000000000000000-444-4200-22-200−23230000000000000000
χ604-4-44-2002-2200−232300000000000000004-4-44-2002-2200−232300000000000000004-4-44-2002-2200−23230000000000000000-444-4200-22-20023−230000000000000000
χ61222222222222222222222222222222−1+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+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52000000000000000000000000000000
χ62222222222222222222222222-2-2-2-2-2-2−1+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+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−521−521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+521+521+52000000000000000000000000000000
χ63222222222222222222-2-2-2-2-2-22222-2-2−1+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+52−1+52−1+521−521−521−521−521−521−52−1+52−1+52−1+52−1+521−521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+521+521+52−1−52−1−52−1−52−1−521+521+52000000000000000000000000000000
χ64222222222222222222-2-2-2-2-2-2-2-2-2-222−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−521−521−521−521−521−521−52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+521+521+521+521+521+521+52−1−52−1−52000000000000000000000000000000
χ652222222222-2-2-2-2-2-2222-222-2-222-2-22-2−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−521−521−52−1+52−1+52−1+521−52−1+52−1+521−521−52−1+52−1+521−521−52−1+521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+521+521+52−1−52−1−52−1−521+52−1−52−1−521+521+52−1−52−1−521+521+52−1−521+52000000000000000000000000000000
χ662222222222-2-2-2-2-2-2222-222-2-2-2-222-22−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−521−521−52−1+52−1+52−1+521−52−1+52−1+521−521−521−521−52−1+52−1+521−52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+521+521+52−1−52−1−52−1−521+52−1−52−1−521+521+521+521+52−1−52−1−521+52−1−52000000000000000000000000000000
χ672222222222-2-2-2-2-2-222-22-2-22222-2-2-22−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−521−521−52−1+52−1+521−52−1+521−521−52−1+52−1+52−1+52−1+521−521−521−52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+521+521+52−1−52−1−521+52−1−521+521+52−1−52−1−52−1−52−1−521+521+521+52−1−52000000000000000000000000000000
χ682222222222-2-2-2-2-2-222-22-2-222-2-2222-2−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−521−521−52−1+52−1+521−52−1+521−521−52−1+52−1+521−521−52−1+52−1+52−1+521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+521+521+52−1−52−1−521+52−1−521+521+52−1−52−1−521+521+52−1−52−1−52−1−521+52000000000000000000000000000000
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χ11488-8-8-400-444000043−4300000000000000−2−25−2−252+252+251+5001+5−1−5−1−50000−2ζ11+2ζ19+2ζ31−2ζ592ζ11−2ζ19−2ζ31+2ζ5900000000000000−2+25−2+252−252−251−5001−5−1+5−1+500002ζ7−2ζ23+2ζ43−2ζ47−2ζ7+2ζ23−2ζ43+2ζ4700000000000000000000000000000000000000000000
χ11588-8-8-400-4440000−434300000000000000−2−25−2−252+252+251+5001+5−1−5−1−500002ζ11−2ζ19−2ζ31+2ζ59−2ζ11+2ζ19+2ζ31−2ζ5900000000000000−2+25−2+252−252−251−5001−5−1+5−1+50000−2ζ7+2ζ23−2ζ43+2ζ472ζ7−2ζ23+2ζ43−2ζ4700000000000000000000000000000000000000000000
χ1168-88-8-48-844-4000000-44000000000000−2−252+25−2−252+251+5−2−252+25−1−5−1−51+50000001+5−1−5000000000000−2+252−25−2+252−251−5−2+252−25−1+5−1+51−50000001−5−1+5000000000000000000000000000000000000000000
χ1178-88-8-4-8844-40000004-4000000000000−2−252+25−2−252+251+52+25−2−25−1−5−1−51+5000000−1−51+5000000000000−2+252−25−2+252−251−52−25−2+25−1+5−1+51−5000000−1+51−5000000000000000000000000000000000000000000
χ1188-8-88800-88-800000000000000000000−2−252+252+25−2−25−2−25002+25−2−252+2500000000000000000000−2+252−252−25−2+25−2+25002−25−2+252−2500000000000000000000000000000000000000000000000000
χ1198-8-88-4004-440043−430000000000000000−2−252+252+25−2−251+500−1−51+5−1−500−2ζ11+2ζ19+2ζ31−2ζ592ζ11−2ζ19−2ζ31+2ζ590000000000000000−2+252−252−25−2+251−500−1+51−5−1+5002ζ7−2ζ23+2ζ43−2ζ47−2ζ7+2ζ23−2ζ43+2ζ470000000000000000000000000000000000000000000000
χ1208-8-88-4004-4400−43430000000000000000−2−252+252+25−2−251+500−1−51+5−1−5002ζ11−2ζ19−2ζ31+2ζ59−2ζ11+2ζ19+2ζ31−2ζ590000000000000000−2+252−252−25−2+251−500−1+51−5−1+500−2ζ7+2ζ23−2ζ43+2ζ472ζ7−2ζ23+2ζ43−2ζ470000000000000000000000000000000000000000000000

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