Finite Group Databasebeta

← Group #14457775

Character table — Group #14457775

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size11222222222222244444444444444444448888888888888888888121216161616161616161616161616162020242424242424242424242440404040404040484848486060606060608080120
order1223445561010101010106881212151520202020242430303030303022244040404060606060120120120120120120120120886610101010303030303030303024244202020204040404068881224241010202022244424248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111-1-111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111-1
χ411111111111111111111111111111111111111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11
χ51111111111111111111111111111111111-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-11111-1-1-1-11-1-11-1-1-1-11
χ61111111111111111111111111111111111-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-111-1-1-1-1-1-1-1-1-111-11111-1
χ71111111111111111111111111111111111-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-111111111-111-111-1-1-1
χ81111111111111111111111111111111111-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-1-11-1-1111
χ91111111111111111-1-111111111-1-11111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111-111-1-11111-1-1-1-1111-1-1-1-1-1-1111111-1-11-1-111-1-111-111-11-1-1
χ101111111111111111-1-111111111-1-11111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111-111-1-11111-1-1-1-1-1-11-1-1-1-1-1-11111-1-111-11111-1-1-1-11-1-11-111
χ111111111111111111-1-111111111-1-11111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-111-1-11111-1-1-1-111-1111111-1-1-1-111-1-11-1-1-1-111-1-11-1-111-11
χ121111111111111111-1-111111111-1-11111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-111-1-11111-1-1-1-1-1-1-1111111-1-1-1-1-1-111-111-1-11111-111-1-11-1
χ131111111111111111-1-111111111-1-1111111-11-1-1-1-1-11111-1-1-1-1-1-1-1-111-11-1-111-1-1-1-1111111-11-1-1-1-1-111111-11-11-1-1-1-1111-111-11-11-1
χ141111111111111111-1-111111111-1-1111111-11-1-1-1-1-11111-1-1-1-1-1-1-1-111-11-1-111-1-1-1-11111-1-1-11-1-1-1-1-11111-11-11-111-1-111-11-1-11-11-11
χ151111111111111111-1-111111111-1-1111111-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-11111111-111111-1-1-1-11-11-11-1-111-1-1-11-1-11-1-111
χ161111111111111111-1-111111111-1-1111111-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-11111-1-11-111111-1-1-1-1-11-11-11111-1-11-111-111-1-1
χ17222222−1−52−1+522−1−52−1−52−1+52−1+52−1−52−1+5222222−1−52−1+52−1−52−1+52−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1+52222−1−52−1−52−1+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+522222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000−1−52−1+52−1−52−1+52000000000
χ18222222−1−52−1+522−1−52−1−52−1+52−1+52−1−52−1+5222222−1−52−1+52−1−52−1+52−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1+52222−1−52−1−52−1+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+52-2-222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200-2-2-21+521+521−521−521+521+521−521−5200000001+521−521+521−52000000000
χ19222222−1−52−1+522−1−52−1−52−1+52−1+52−1−52−1+5222222−1−52−1+52−1−52−1+52−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1+52-2-22−1−52−1−52−1+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+5222-2-21+521−521+521−521+521+521−521−521+521+521−521−5200-2-22−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000001+521−521+521−52000000000
χ20222222−1−52−1+522−1−52−1−52−1+52−1+52−1−52−1+5222222−1−52−1+52−1−52−1+52−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1+52-2-22−1−52−1−52−1+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+52-2-2-2-21+521−521+521−521+521+521−521−521+521+521−521−520022-21+521+521−521−521+521+521−521−520000000−1−52−1+52−1−52−1+52000000000
χ21222222−1−52−1+522−1−52−1−52−1+52−1+52−1−52−1+522-2-222−1−52−1+52−1−52−1+52−1−52−1+52-2-2−1−52−1−52−1+52−1+52−1−52−1+522-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52222-2−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−52002-2-21+521+521−521−52−1−52−1−52−1+52−1+520000000−1−52−1+521+521−52000000000
χ22222222−1−52−1+522−1−52−1−52−1+52−1+52−1−52−1+522-2-222−1−52−1+52−1−52−1+52−1−52−1+52-2-2−1−52−1−52−1+52−1+52−1−52−1+522-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-2-22-2−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−5200-222−1−52−1−52−1+52−1+521+521+521−521−5200000001+521−52−1−52−1+52000000000
χ23222222−1−52−1+522−1−52−1−52−1+52−1+52−1−52−1+522-2-222−1−52−1+52−1−52−1+52−1−52−1+52-2-2−1−52−1−52−1+52−1+52−1−52−1+52-22-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−5222-221+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200-22-21+521+521−521−52−1−52−1−52−1+52−1+5200000001+521−52−1−52−1+52000000000
χ24222222−1−52−1+522−1−52−1−52−1+52−1+52−1−52−1+522-2-222−1−52−1+52−1−52−1+52−1−52−1+52-2-2−1−52−1−52−1+52−1+52−1−52−1+52-22-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-2-2-221+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52002-22−1−52−1−52−1+52−1+521+521+521−521−520000000−1−52−1+521+521−52000000000
χ25222222−1+52−1−522−1+52−1+52−1−52−1−52−1+52−1−5222222−1+52−1−52−1+52−1−52−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000−1+52−1−52−1+52−1−52000000000
χ26222222−1+52−1−522−1+52−1+52−1−52−1−52−1+52−1−5222222−1+52−1−52−1+52−1−52−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200-2-2-21−521−521+521+521−521−521+521+5200000001−521+521−521+52000000000
χ27222222−1+52−1−522−1+52−1+52−1−52−1−52−1+52−1−5222222−1+52−1−52−1+52−1−52−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1−52-2-22−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222-2-21−521+521−521+521−521−521+521+521−521−521+521+5200-2-22−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000001−521+521−521+52000000000
χ28222222−1+52−1−522−1+52−1+52−1−52−1−52−1+52−1−5222222−1+52−1−52−1+52−1−52−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1−52-2-22−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-21−521+521−521+521−521−521+521+521−521−521+521+520022-21−521−521+521+521−521−521+521+520000000−1+52−1−52−1+52−1−52000000000
χ29222222−1+52−1−522−1+52−1+52−1−52−1−52−1+52−1−522-2-222−1+52−1−52−1+52−1−52−1+52−1−52-2-2−1+52−1+52−1−52−1−52−1+52−1−522-2-21−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52222-2−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+52002-2-21−521−521+521+52−1+52−1+52−1−52−1−520000000−1+52−1−521−521+52000000000
χ30222222−1+52−1−522−1+52−1+52−1−52−1−52−1+52−1−522-2-222−1+52−1−52−1+52−1−52−1+52−1−52-2-2−1+52−1+52−1−52−1−52−1+52−1−522-2-21−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52-2-22-2−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+5200-222−1+52−1+52−1−52−1−521−521−521+521+5200000001−521+52−1+52−1−52000000000
χ31222222−1+52−1−522−1+52−1+52−1−52−1−52−1+52−1−522-2-222−1+52−1−52−1+52−1−52−1+52−1−52-2-2−1+52−1+52−1−52−1−52−1+52−1−52-22-21−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+5222-221−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200-22-21−521−521+521+52−1+52−1+52−1−52−1−5200000001−521+52−1+52−1−52000000000
χ32222222−1+52−1−522−1+52−1+52−1−52−1−52−1+52−1−522-2-222−1+52−1−52−1+52−1−52−1+52−1−52-2-2−1+52−1+52−1−52−1−52−1+52−1−52-22-21−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52-2-2-221−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52002-22−1+52−1+52−1−52−1−521−521−521+521+520000000−1+52−1−521−521+52000000000
χ33222-12222-1222222-122-1-1-1-12222-1-1-1-1-1-1-1-122-12222-1-1-1-1-1-1-1-1-1-1-1-100-1-12222-1-1-1-1-1-1-1-12200000000000-1222-1-1-10000000000-1-10
χ34222-12222-1222222-122-1-1-1-12222-1-1-1-1-1-1-1-122-12222-1-1-1-1-1-1-1-1-1-1-1-100-1-12222-1-1-1-1-1-1-1-1-2-2000000000001-2-2-21110000000000110
χ35222-12222-1222222-122-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-12222-1-1-1-1-1-1-1-1-1-1-1-10011-2-2-2-2111111112200000000000-1-2-22-1-1-10000000000110
χ36222-12222-1222222-122-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-12222-1-1-1-1-1-1-1-1-1-1-1-10011-2-2-2-211111111-2-200000000000122-21110000000000-1-10
χ37222-12222-1222222-1-2-2-1-1-1-1222211-1-1-1-1-1-12-21-2-2-2-2-1-1-1-11111111100-1122-2-2-1-1-1-111112200000000000-12-2-2-1110000000000-110
χ38222-12222-1222222-1-2-2-1-1-1-1222211-1-1-1-1-1-12-21-2-2-2-2-1-1-1-11111111100-1122-2-2-1-1-1-11111-2-2000000000001-2221-1-100000000001-10
χ39222-12222-1222222-1-2-2-1-1-1-1222211-1-1-1-1-1-1-221-2-2-2-2-1-1-1-111111111001-1-2-2221111-1-1-1-12200000000000-1-22-2-11100000000001-10
χ40222-12222-1222222-1-2-2-1-1-1-1222211-1-1-1-1-1-1-221-2-2-2-2-1-1-1-111111111001-1-2-2221111-1-1-1-1-2-20000000000012-221-1-10000000000-110
χ4122-222-2222-2-2-2-222-200-2222-2-22200-2-2-2-222000000022-2-2000000002-2000000000000002-200000002-22-22000-2000000200-200000
χ4222-222-2222-2-2-2-222-200-2222-2-22200-2-2-2-222000000022-2-2000000002-200000000000000-2200000002-22-2-20002000000-200200000
χ4322-222-2222-2-2-2-222-200-2222-2-22200-2-2-2-222000000022-2-200000000-22000000000000002-20000000-22-222000-2000000-200200000
χ4422-222-2222-2-2-2-222-200-2222-2-22200-2-2-2-222000000022-2-200000000-2200000000000000-220000000-22-22-20002000000200-200000
χ4522-22-22222-2-2-2-222-22-22-22222-2-222-2-2-2-22200-22-22-2-2-22222-2-222-2-2000000000000000000000000000000000000000002-20-22000
χ4622-22-22222-2-2-2-222-22-22-22222-2-222-2-2-2-22200-22-22-2-2-22222-2-222-2-200000000000000000000000000000000000000000-2202-2000
χ4722-22-22222-2-2-2-222-2-222-22222-2-2-2-2-2-2-2-222002-22-22-2-222-2-222-2-22200000000000000000000000000000000000000000220-2-2000
χ4822-22-22222-2-2-2-222-2-222-22222-2-2-2-2-2-2-2-222002-22-22-2-222-2-222-2-22200000000000000000000000000000000000000000-2-2022000
χ494444-4-4444444444400-4-444-4-4-4-4004444440000000-4-4-4-4000000000000000000000000000000000000000000000000000000000
χ504444-4-4−1−5−1+54−1−5−1−5−1+5−1+5−1−5−1+5400-4-4−1−5−1+51+51−51+51−500−1−5−1−5−1+5−1+5−1−5−1+500000001+51−51+51−500000000000000000000000000000−2ζ28+2ζ52−2ζ68+2ζ922ζ28−2ζ52+2ζ68−2ζ922ζ4+2ζ44−2ζ76−2ζ116−2ζ4−2ζ44+2ζ76+2ζ116000000000000000000000000
χ514444-4-4−1−5−1+54−1−5−1−5−1+5−1+5−1−5−1+5400-4-4−1−5−1+51+51−51+51−500−1−5−1−5−1+5−1+5−1−5−1+500000001+51−51+51−5000000000000000000000000000002ζ28−2ζ52+2ζ68−2ζ92−2ζ28+2ζ52−2ζ68+2ζ92−2ζ4−2ζ44+2ζ76+2ζ1162ζ4+2ζ44−2ζ76−2ζ116000000000000000000000000
χ524444-4-4−1+5−1−54−1+5−1+5−1−5−1−5−1+5−1−5400-4-4−1+5−1−51−51+51−51+500−1+5−1+5−1−5−1−5−1+5−1−500000001−51+51−51+5000000000000000000000000000002ζ4+2ζ44−2ζ76−2ζ116−2ζ4−2ζ44+2ζ76+2ζ1162ζ28−2ζ52+2ζ68−2ζ92−2ζ28+2ζ52−2ζ68+2ζ92000000000000000000000000
χ534444-4-4−1+5−1−54−1+5−1+5−1−5−1−5−1+5−1−5400-4-4−1+5−1−51−51+51−51+500−1+5−1+5−1−5−1−5−1+5−1−500000001−51+51−51+500000000000000000000000000000−2ζ4−2ζ44+2ζ76+2ζ1162ζ4+2ζ44−2ζ76−2ζ116−2ζ28+2ζ52−2ζ68+2ζ922ζ28−2ζ52+2ζ68−2ζ92000000000000000000000000
χ54444-244−1−5−1+5-2−1−5−1−5−1+5−1+5−1−5−1+5-244-2-21+521−52−1−5−1+5−1−5−1+5-2-21+521+521−521−521+521−5244-2−1−5−1−5−1+5−1+51+521−521+521−521+521+521+521+521−521−521−521−5200-2-2−1−5−1+5−1−5−1+51+521+521−521−521+521+521−521−52000000000000000000000000000000000
χ55444-244−1−5−1+5-2−1−5−1−5−1+5−1+5−1−5−1+5-244-2-21+521−52−1−5−1+5−1−5−1+5-2-21+521+521−521−521+521−52-4-4-2−1−5−1−5−1+5−1+51+521−521+521−521+521+521+521+521−521−521−521−5200221+51−51+51−5−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000000000000000000000000
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χ1018-80-400−2+25−2−254−4ζ4−4ζ44+4ζ76+4ζ1164ζ4+4ζ44−4ζ76−4ζ116−4ζ28+4ζ52−4ζ68+4ζ924ζ28−4ζ52+4ζ68−4ζ922−252+25000001−51+50000−2i62i62ζ4+2ζ44−2ζ76−2ζ116−2ζ4−2ζ44+2ζ76+2ζ1162ζ28−2ζ52+2ζ68−2ζ92−2ζ28+2ζ52−2ζ68+2ζ92−1+5−1−500000000000−ζ29−ζ31+ζ61+ζ71−ζ79−ζ101+ζ109+ζ119ζ29+ζ31−ζ61−ζ71+ζ79+ζ101−ζ109−ζ119ζ29−ζ31+ζ61+ζ71+ζ79−ζ101−ζ109−ζ119−ζ29+ζ31−ζ61−ζ71−ζ79+ζ101+ζ109+ζ119−ζ7+ζ13+ζ23+ζ37+ζ47−ζ53−ζ77−ζ103ζ7−ζ13−ζ23−ζ37−ζ47+ζ53+ζ77+ζ103−ζ7−ζ13−ζ23+ζ37+ζ47+ζ53−ζ77+ζ103ζ7+ζ13+ζ23−ζ37−ζ47−ζ53+ζ77−ζ1030000000000000000000000000000000000000000000000000
χ1028-80-400−2+25−2−254−4ζ4−4ζ44+4ζ76+4ζ1164ζ4+4ζ44−4ζ76−4ζ116−4ζ28+4ζ52−4ζ68+4ζ924ζ28−4ζ52+4ζ68−4ζ922−252+25000001−51+500002i6−2i62ζ4+2ζ44−2ζ76−2ζ116−2ζ4−2ζ44+2ζ76+2ζ1162ζ28−2ζ52+2ζ68−2ζ92−2ζ28+2ζ52−2ζ68+2ζ92−1+5−1−500000000000ζ29+ζ31−ζ61−ζ71+ζ79+ζ101−ζ109−ζ119−ζ29−ζ31+ζ61+ζ71−ζ79−ζ101+ζ109+ζ119−ζ29+ζ31−ζ61−ζ71−ζ79+ζ101+ζ109+ζ119ζ29−ζ31+ζ61+ζ71+ζ79−ζ101−ζ109−ζ119ζ7−ζ13−ζ23−ζ37−ζ47+ζ53+ζ77+ζ103−ζ7+ζ13+ζ23+ζ37+ζ47−ζ53−ζ77−ζ103ζ7+ζ13+ζ23−ζ37−ζ47−ζ53+ζ77−ζ103−ζ7−ζ13−ζ23+ζ37+ζ47+ζ53−ζ77+ζ1030000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.