Finite Group Databasebeta

← Group #12086934

Character table — Group #12086934

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size1111222222222222444444444444444444444448888888888888888888888888881010161616161616161616161620202020203232323240404040404040808080
order1222444455101010101010488888820202020202020204040404040404040448882020202020202020202040404040404040404040404022248404040404040404044488101020202488888448
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111111-1-1-1-1-1
χ4111111111111111111111111111111111111111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ51111111111111111111-1-1-1-11111111111111111-1-1111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111111111111111-1-1-1-1-1-11-1-111-1-11
χ61111111111111111111-1-1-1-11111111111111111-1-1111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-111-111-1-111-1
χ71111111111111111111-1-1-1-11111111111111111-1-11-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111111111-1-11-1-1-1-111-1
χ81111111111111111111-1-1-1-11111111111111111-1-11-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-11111-1-11
χ911111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111111111-11-11111-1-1-1-1111-1-1-1-111-1-1-111111-1-1
χ1011111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-11-11111-1-1-1-1-1-1-111-1-111111-1-1-1-1-111
χ1111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111-11-1-1-1-11111111-1-111-1-1-1-1-111-1-1-111
χ1211111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-11-11-1-1-1-11111-1-1-11111-1-1111-1-1111-1-1
χ1311111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-11111-1-1-1-1111-1-111-1-111-1-1-111-11-1
χ1411111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-11111-1-1-1-1111-1-11-11
χ1511111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-11111111-1-1-1-11111-1-1-1-1-11-11
χ1611111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-111-1-111-1-111111-11-1
χ1722222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222222−1+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+52−1−52−1−52−1−52−1−5200222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000−1+52−1−52−1+52−1−520000000000
χ1822222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52222-2-2−1+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+52−1−52−1−52−1−52−1−5200-2-2-21−521−521+521+521−521−521+521+52000001−521+521−521+520000000000
χ1922222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52222-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-22221−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+5200-2-22−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000001−521+521−521+520000000000
χ2022222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52222-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-22-2-21−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+520022-21−521−521+521+521−521−521+521+5200000−1+52−1−52−1+52−1−520000000000
χ2122222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522-2-22222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+52-2-2-2221−521−521+521+52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200-22-2−1+52−1+52−1−52−1−521−521−521+521+52000001−521+52−1+52−1−520000000000
χ2222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522-2-22222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+52-2-2-2-2-21−521−521+521+52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52002-221−521−521+521+52−1+52−1+52−1−52−1−5200000−1+52−1−521−521+520000000000
χ2322222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522-2-2-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+5222-222−1+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+521+521+52002-2-2−1+52−1+52−1−52−1−521−521−521+521+5200000−1+52−1−521−521+520000000000
χ2422222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522-2-2-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+5222-2-2-2−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521−521−521+521+521+521+5200-2221−521−521+521+52−1+52−1+52−1−52−1−52000001−521+52−1+52−1−520000000000
χ2522222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522222222−1−52−1+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+5222222−1−52−1−52−1+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+5200222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000−1−52−1+52−1−52−1+520000000000
χ2622222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522222222−1−52−1+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+52222-2-2−1−52−1−52−1+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+5200-2-2-21+521+521−521−521+521+521−521−52000001+521−521+521−520000000000
χ2722222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52222-2-2-2-2−1−52−1+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+52-2-22221+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+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+52000001+521−521+521−520000000000
χ2822222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52222-2-2-2-2−1−52−1+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+52-2-22-2-21+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−520022-21+521+521−521−521+521+521−521−5200000−1−52−1+52−1−52−1+520000000000
χ2922222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522-2-22222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-2-2-2221+521+521−521−52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200-22-2−1−52−1−52−1+52−1+521+521+521−521−52000001+521−52−1−52−1+520000000000
χ3022222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522-2-22222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-2-2-2-2-21+521+521−521−52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52002-221+521+521−521−52−1−52−1−52−1+52−1+5200000−1−52−1+521+521−520000000000
χ3122222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522-2-2-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−5222-222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521+521+521−521−521−521−52002-2-2−1−52−1−52−1+52−1+521+521+521−521−5200000−1−52−1+521+521−520000000000
χ3222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522-2-2-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−5222-2-2-2−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521+521+521−521−521−521−5200-2221+521+521−521−52−1−52−1−52−1+52−1+52000001+521−52−1−52−1+520000000000
χ3322222-2-2222222222-2000000-2-22222-2-2000000002-20002222-2-2-2-2-2-200000000000022000000000002-2-2000000-2200000000
χ3422222-2-2222222222-2000000-2-22222-2-2000000002-20002222-2-2-2-2-2-2000000000000-2-200000000000-2220000002-200000000
χ3522222-2-2222222222-2000000-2-22222-2-200000000-22000-2-2-2-2-2-2222200000000000022000000000002-2-20000002-200000000
χ3622222-2-2222222222-2000000-2-22222-2-200000000-22000-2-2-2-2-2-22222000000000000-2-200000000000-222000000-2200000000
χ372222-222-222222222-222000022-2-2-2-2222222222200-2000000-2-20000-2-2-2-2000000002200000000000-22-222000000-20000000
χ382222-222-222222222-222000022-2-2-2-2222222222200-2000000-2-20000-2-2-2-200000000-2-2000000000002-22-2-200000020000000
χ392222-222-222222222-2-2-2000022-2-2-2-222-2-2-2-2-2-2-2-2002000000-2-200002222000000002200000000000-22-2-2-200000020000000
χ402222-222-222222222-2-2-2000022-2-2-2-222-2-2-2-2-2-2-2-2002000000-2-20000222200000000-2-2000000000002-2222000000-20000000
χ412222-2-2-2-2222222222002i2i−2i−2i-2-2-2-2-2-2-2-20000000000000000022000000002i2i−2i−2i2i2i−2i−2i2200000000000-2-220000000002i−2i00000
χ422222-2-2-2-2222222222002i2i−2i−2i-2-2-2-2-2-2-2-20000000000000000022000000002i2i−2i−2i2i2i−2i−2i-2-20000000000022-2000000000−2i2i00000
χ432222-2-2-2-222222222200−2i−2i2i2i-2-2-2-2-2-2-2-2000000000000000002200000000−2i−2i2i2i−2i−2i2i2i2200000000000-2-22000000000−2i2i00000
χ442222-2-2-2-222222222200−2i−2i2i2i-2-2-2-2-2-2-2-2000000000000000002200000000−2i−2i2i2i−2i−2i2i2i-2-20000000000022-20000000002i−2i00000
χ4544444-4-44−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5-40000001−51+5−1+5−1+5−1−5−1−51−51+5000000004-4000−1+5−1+5−1−5−1−51−51+51−51−51+51+500000000000000000000000000000000000000000000
χ4644444-4-44−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5-40000001−51+5−1+5−1+5−1−5−1−51−51+500000000-440001−51−51+51+51−51+5−1+5−1+5−1−5−1−500000000000000000000000000000000000000000000
χ4744444-4-44−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5-40000001+51−5−1−5−1−5−1+5−1+51+51−5000000004-4000−1−5−1−5−1+5−1+51+51−51+51+51−51−500000000000000000000000000000000000000000000
χ4844444-4-44−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5-40000001+51−5−1−5−1−5−1+5−1+51+51−500000000-440001+51+51−51−51+51−5−1−5−1−5−1+5−1+500000000000000000000000000000000000000000000
χ494444-444-4−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5-4440000−1+5−1−51−51−51+51+5−1+5−1−5−1+5−1+5−1+5−1+5−1−5−1−5−1−5−1−500-40000001−51+500001−51−51+51+50000000000000000000000000000000000000000
χ504444-444-4−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5-4-4-40000−1+5−1−51−51−51+51+5−1+5−1−51−51−51−51−51+51+51+51+50040000001−51+50000−1+5−1+5−1−5−1−50000000000000000000000000000000000000000
χ514444-444-4−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5-4440000−1−5−1+51+51+51−51−5−1−5−1+5−1−5−1−5−1−5−1−5−1+5−1+5−1+5−1+500-40000001+51−500001+51+51−51−50000000000000000000000000000000000000000
χ524444-444-4−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5-4-4-40000−1−5−1+51+51+51−51−5−1−5−1+51+51+51+51+51−51−51−51−50040000001+51−50000−1−5−1−5−1+5−1+50000000000000000000000000000000000000000
χ534444-4-4-4-4−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−54004i4i−4i−4i1−51+51−51−51+51+51−51+500000000000000000−1+5−1−500000000−2ζ22−2ζ38−2ζ22−2ζ382ζ22+2ζ382ζ22+2ζ38−2ζ6−2ζ14−2ζ6−2ζ142ζ6+2ζ142ζ6+2ζ1400000000000000000000000000000000
χ544444-4-4-4-4−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−5400−4i−4i4i4i1−51+51−51−51+51+51−51+500000000000000000−1+5−1−5000000002ζ22+2ζ382ζ22+2ζ38−2ζ22−2ζ38−2ζ22−2ζ382ζ6+2ζ142ζ6+2ζ14−2ζ6−2ζ14−2ζ6−2ζ1400000000000000000000000000000000
χ554444-4-4-4-4−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+54004i4i−4i−4i1+51−51+51+51−51−51+51−500000000000000000−1−5−1+500000000−2ζ6−2ζ14−2ζ6−2ζ142ζ6+2ζ142ζ6+2ζ14−2ζ22−2ζ38−2ζ22−2ζ382ζ22+2ζ382ζ22+2ζ3800000000000000000000000000000000
χ564444-4-4-4-4−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+5400−4i−4i4i4i1+51−51+51+51−51−51+51−500000000000000000−1−5−1+5000000002ζ6+2ζ142ζ6+2ζ14−2ζ6−2ζ14−2ζ6−2ζ142ζ22+2ζ382ζ22+2ζ38−2ζ22−2ζ38−2ζ22−2ζ3800000000000000000000000000000000
χ5744-4-4400-444-4-444-4-400022−2222−22004-44-40000000000000000000000000000022−2222−2222−2222−2200000000000000000000000000000000
χ5844-4-4400-444-4-444-4-4000−2222−2222004-44-400000000000000000000000000000−2222−2222−2222−222200000000000000000000000000000000
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Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.