Finite Group Databasebeta

← Group #14513444

Character table — Group #14513444

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83
size1122222222222444466668888121212121212121216161616161616161616161616161616161620202424242424242424242424242424242424242424606080808080120120120120
order122445510101010101020202020224436121210101010202020206121515303030303030606060606060606024228810101010101010104040404040404040246612124488
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ3111111111111111111111111111111111111111111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511-1-1111-1-1-1-11111-1-1-11-1111-1-111-1-1-1-111-1111-1-1-1-1111111-1-1-1-11-11-11-11111-1-1-1-11111-1-1-1-1-1111-1-11-11-1
χ611-1-1111-1-1-1-11111-1-1-11-1111-1-111-1-1-1-111-1111-1-1-1-1111111-1-1-1-11-1-11-11-1-1-1-11111-1-1-1-11111-1111-1-1-11-11
χ711-1-1111-1-1-1-11111-1-1-11-1111-1-111-1-1-1-111-1111-1-1-1-1111111-1-1-1-1-111-11-11111-1-1-1-11111-1-1-1-11-1-1-111-11-11
χ811-1-1111-1-1-1-11111-1-1-11-1111-1-111-1-1-1-111-1111-1-1-1-1111111-1-1-1-1-11-11-11-1-1-1-11111-1-1-1-111111-1-1-1111-11-1
χ9222222222222222222222-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1220000000000000000000022-1-1-1-10000
χ10222222222222222222222-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-200000000000000000000-2-211110000
χ1122222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222−1−52−1+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+52002222−1−52−1−52−1+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+520000000000
χ1222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222−1−52−1+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+5200-2-2-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−520000000000
χ1322222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222−1+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+52−1−52−1−52002222−1+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+52−1−52−1−520000000000
χ1422222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222−1+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+52−1−52−1−5200-2-2-2-21−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+520000000000
χ15222-2-222222222-2-2-2-2-2-22222-2-2-2-2-2-222222-222222222-2-2-2-2-2-2-2-200000000000000000000000000000000
χ16222-2-222222222-2-2-2-2-2-222-1-111-2-2-2-22222-11-1-1-1-1-1-1-1-111111111000000000000000000000000−i3i3−i3i30000
χ17222-2-222222222-2-2-2-2-2-222-1-111-2-2-2-22222-11-1-1-1-1-1-1-1-111111111000000000000000000000000i3−i3i3−i30000
χ18222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521−521+521−52-2-22222-2-21+521−521+521−52−1−52−1+52−1−52−1+522-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−521+521+521−521−52000000−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ580000000000
χ19222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521−521+521−52-2-22222-2-21+521−521+521−52−1−52−1+52−1−52−1+522-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−521+521+521−521−52000000ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ580000000000
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χ2222-22-222-2-2-2-222-2-2222-2-222222-2-222-2-222-2-222-2-2-2-222-2-2-2-2222200000000000000000000000000000000
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χ2622-22-2−1−52−1+521+521+521−521−52−1−52−1+521+521−52−1−52−1+522-2-2222221+521−52−1−52−1+521+521−52−1−52−1+52-2-2−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52000000ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ580000000000
χ2722-22-2−1+52−1−521−521−521+521+52−1+52−1−521−521+52−1+52−1−522-2-2222221−521+52−1+52−1−521−521+52−1+52−1−52-2-2−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52000000ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ460000000000
χ2822-22-2−1+52−1−521−521−521+521+52−1+52−1−521−521+52−1+52−1−522-2-2222221−521+52−1+52−1−521−521+52−1+52−1−52-2-2−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52000000−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ460000000000
χ2922-2-2222-2-2-2-22222-2-2-22-22-1-11122-2-2-2-2221-1-1-11111-1-1-1-1-1-111112-200000000000000000000-22-1-1110000
χ3022-2-2222-2-2-2-22222-2-2-22-22-1-11122-2-2-2-2221-1-1-11111-1-1-1-1-1-11111-22000000000000000000002-211-1-10000
χ3122-2-22−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+521+521−52-22-2222-2-2−1−52−1+521+521−521+521−52−1−52−1+52-22−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52002-22-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−520000000000
χ3222-2-22−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+521+521−52-22-2222-2-2−1−52−1+521+521−521+521−52−1−52−1+52-22−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−5200-22-221+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+520000000000
χ3322-2-22−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−521−521+52-22-2222-2-2−1+52−1−521−521+521−521+52−1+52−1−52-22−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52002-22-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+520000000000
χ3422-2-22−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−521−521+52-22-2222-2-2−1+52−1−521−521+521−521+52−1+52−1−52-22−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+5200-22-221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000000000
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χ3933-3-3333-3-3-3-33333-3-31-11-10000-1-11111-1-10000000000000000003-31-1-111111-1-1-1-1-1-1-1-111111-10000-111-1
χ4033-3-3333-3-3-3-33333-3-31-11-10000-1-11111-1-10000000000000000003-3-111-1-1-1-1-111111111-1-1-1-11-100001-1-11
χ4133-3-3333-3-3-3-33333-3-31-11-10000-1-11111-1-1000000000000000000-331-1-111111-1-1-1-1-1-1-1-11111-1100001-1-11
χ4233-3-3333-3-3-3-33333-3-31-11-10000-1-11111-1-1000000000000000000-33-111-1-1-1-1-111111111-1-1-1-1-110000-111-1
χ4344444−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+5−1−5−1+5−1−5−1+54444-2-2-2-2−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5-2-21+521−521+521+521−521−521+521−521+521+521−521−521+521+521−521−5200000000000000000000000000000000
χ4444444−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−5−1+5−1−5−1+5−1−54444-2-2-2-2−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5-2-21−521+521−521−521+521+521−521+521−521−521+521+521−521−521+521+5200000000000000000000000000000000
χ45444-4-4−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+51+51−51+51−5-4-444-2-2221+51−51+51−5−1−5−1+5−1−5−1+5-221+521−521+521+521−521−521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000000000000000000000
χ46444-4-4−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−51−51+51−51+5-4-444-2-2221−51+51−51+5−1+5−1−5−1+5−1−5-221−521+521−521−521+521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000000000000000000000
χ4744-44-4−1−5−1+51+51+51−51−5−1−5−1+51+51−5−1−5−1+54-4-44-2-2-2-21+51−5−1−5−1+51+51−5−1−5−1+5221+521−52−1−52−1−52−1+52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−5200000000000000000000000000000000
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χ4944-4-44−1−5−1+51+51+51−51−5−1−5−1+5−1−5−1+51+51−5-44-44-2-222−1−5−1+51+51−51+51−5−1−5−1+52-21+521−52−1−52−1−52−1+52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+5200000000000000000000000000000000
χ5044-4-44−1+5−1−51−51−51+51+5−1+5−1−5−1+5−1−51−51+5-44-44-2-222−1+5−1−51−51+51−51+5−1+5−1−52-21−521+52−1+52−1+52−1−52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−5200000000000000000000000000000000
χ5166666−3−352−3+352−3−352−3−352−3+352−3+352−3−352−3+352−3−352−3+352−3−352−3+352-2-2-2-200001+521−521+521−521+521−521+521−520000000000000000000022-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−520000000000
χ5266666−3−352−3+352−3−352−3−352−3+352−3+352−3−352−3+352−3−352−3+352−3−352−3+352-2-2-2-200001+521−521+521−521+521−521+521−5200000000000000000000-2-2221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000
χ5366666−3+352−3−352−3+352−3+352−3−352−3−352−3+352−3−352−3+352−3−352−3+352−3−352-2-2-2-200001−521+521−521+521−521+521−521+520000000000000000000022-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+520000000000
χ5466666−3+352−3−352−3+352−3+352−3−352−3−352−3+352−3−352−3+352−3−352−3+352−3−352-2-2-2-200001−521+521−521+521−521+521−521+5200000000000000000000-2-2221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000
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χ838-8000−2+25−2−25−4ζ2−4ζ22+4ζ38+4ζ584ζ2+4ζ22−4ζ38−4ζ58−4ζ14+4ζ26−4ζ34+4ζ464ζ14−4ζ26+4ζ34−4ζ462−252+2500000000-440000000000001−51+52ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−1+5−1−50000000000000000000000000000000000000000

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