Finite Group Databasebeta

← Group #12131868

Character table — Group #12131868

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size112222222222244444444444444888888888816161616161616161616161616161616161616161616161616161616161620202020202020202020404040404040408080
order1222222225510101010101010101010101010101010244444444444101020202020202020202020202020202020202020202020202020202222444444222444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111111-1-11-111-1-1
χ4111111111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-11-1-111
χ511111111111111111111111111111-1-1-1-111-1-11-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-11-1-1-11-1
χ611111111111111111111111111111-1-1-1-111-1-11-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11-1111-11
χ711111111111111111111111111111-1-1-1-1-1-111-111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11-1111-1-1-11
χ811111111111111111111111111111-1-1-1-1-1-111-111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-11111-11-1-1-1111-1
χ9111111111111111111111111111-1-111-1-111-1-1-11-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-11-1-1-111-11
χ10111111111111111111111111111-1-111-1-111-1-1-11-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111-1111-1-11-1
χ11111111111111111111111111111-1-111-1-1-1-1111-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-11-11111-1
χ12111111111111111111111111111-1-111-1-1-1-1111-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1111111-11-1-1-1-11
χ13111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-111-11-1-1-1-1
χ14111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11-1-11-11111
χ15111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-111
χ16111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111-1-1
χ17222222222−1+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+52−1−52222222222222−1+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+52−1−52−1−520000000000000000000
χ18222222222−1+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+52−1−52222222-2-2-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+520000000000000000000
χ19222222222−1+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+52−1−5222-2-2-2-222-2-22-2−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+520000000000000000000
χ20222222222−1+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+52−1−5222-2-2-2-2-2-222-22−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−520000000000000000000
χ21222222222−1+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+52−1−52-2-222-2-222-2-2-221−521+521−521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+520000000000000000000
χ22222222222−1+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+52−1−52-2-222-2-2-2-2222-21−521+521−521+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+52−1+52−1+52−1−52−1−520000000000000000000
χ23222222222−1+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+52−1−52-2-2-2-2222222-2-21−521+521−521+521−521−521+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+52−1−52−1−520000000000000000000
χ24222222222−1+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+52−1−52-2-2-2-222-2-2-2-2221−521+521−521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+520000000000000000000
χ25222222222−1−52−1+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+52222222222222−1−52−1+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+520000000000000000000
χ26222222222−1−52−1+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+52222222-2-2-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−520000000000000000000
χ27222222222−1−52−1+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+5222-2-2-2-222-2-22-2−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−520000000000000000000
χ28222222222−1−52−1+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+5222-2-2-2-2-2-222-22−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+520000000000000000000
χ29222222222−1−52−1+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+52-2-222-2-222-2-2-221+521−521+521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−520000000000000000000
χ30222222222−1−52−1+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+52-2-222-2-2-2-2222-21+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+520000000000000000000
χ31222222222−1−52−1+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+52-2-2-2-2222222-2-21+521−521+521−521+521+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+520000000000000000000
χ32222222222−1−52−1+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+52-2-2-2-222-2-2-2-2221+521−521+521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−520000000000000000000
χ3322222-2-2-2-222222-2-22-2-222-222-2-2-2002i−2i0000000000002i−2i2i−2i000000000000000000000000002i2i−2i−2i200-200000
χ3422222-2-2-2-222222-2-22-2-222-222-2-2-2002i−2i0000000000002i−2i2i−2i00000000000000000000000000−2i−2i2i2i-200200000
χ3522222-2-2-2-222222-2-22-2-222-222-2-2-200−2i2i000000000000−2i2i−2i2i000000000000000000000000002i2i−2i−2i-200200000
χ3622222-2-2-2-222222-2-22-2-222-222-2-2-200−2i2i000000000000−2i2i−2i2i00000000000000000000000000−2i−2i2i2i200-200000
χ37222-2-222-2-22222222222-2-2-2-2-2-2-2-22-2000000000022-2-20000000000000000000000000000002i−2i2i−2i000002i−2i00
χ38222-2-222-2-22222222222-2-2-2-2-2-2-2-22-2000000000022-2-2000000000000000000000000000000−2i2i−2i2i00000−2i2i00
χ39222-2-222-2-22222222222-2-2-2-2-2-2-2-2-220000000000-2-2220000000000000000000000000000002i−2i2i−2i00000−2i2i00
χ40222-2-222-2-22222222222-2-2-2-2-2-2-2-2-220000000000-2-222000000000000000000000000000000−2i2i−2i2i000002i−2i00
χ41222-2-2-2-22222222-2-22-2-2-2-22-2-222200002-200000000000000000000002-22-2000000002200-2-22-2-22000000000
χ42222-2-2-2-22222222-2-22-2-2-2-22-2-222200002-200000000000000000000002-22-200000000-2-20022-222-2000000000
χ43222-2-2-2-22222222-2-22-2-2-2-22-2-22220000-220000000000000000000000-22-22000000002200-2-2-222-2000000000
χ44222-2-2-2-22222222-2-22-2-2-2-22-2-22220000-220000000000000000000000-22-2200000000-2-200222-2-22000000000
χ4522-22-22-2-222222-22-2-22-22-2-22-2-222000000002-2000000000000000000000000002-22-22-2002-200000020-20000
χ4622-22-22-2-222222-22-2-22-22-2-22-2-222000000002-2000000000000000000000000002-22-2-2200-22000000-2020000
χ4722-22-22-2-222222-22-2-22-22-2-22-2-22200000000-2200000000000000000000000000-22-222-2002-2000000-2020000
χ4822-22-22-2-222222-22-2-22-22-2-22-2-22200000000-2200000000000000000000000000-22-22-2200-2200000020-20000
χ4922-2-22-22-222222-2-22-2-22-22-2-22-2220000002-20000000000000000000000002-22-200002-222-2200000-20000000
χ5022-2-22-22-222222-2-22-2-22-22-2-22-2220000002-20000000000000000000000002-22-20000-22-2-22-20000020000000
χ5122-2-22-22-222222-2-22-2-22-22-2-22-222000000-22000000000000000000000000-22-2200002-2-2-2-220000020000000
χ5222-2-22-22-222222-2-22-2-22-22-2-22-222000000-22000000000000000000000000-22-220000-22222-200000-20000000
χ5344444-4-4-4-4−1+5−1−5−1+5−1−5−1+51−51−5−1−51+51+5−1+5−1+51−5−1−5−1−51+51−51+5004i−4i000000000000−2ζ11−2ζ192ζ11+2ζ19−2ζ3−2ζ72ζ3+2ζ7000000000000000000000000000000000000000
χ5444444-4-4-4-4−1+5−1−5−1+5−1−5−1+51−51−5−1−51+51+5−1+5−1+51−5−1−5−1−51+51−51+500−4i4i0000000000002ζ11+2ζ19−2ζ11−2ζ192ζ3+2ζ7−2ζ3−2ζ7000000000000000000000000000000000000000
χ5544444-4-4-4-4−1−5−1+5−1−5−1+5−1−51+51+5−1+51−51−5−1−5−1−51+5−1+5−1+51−51+51−5004i−4i000000000000−2ζ3−2ζ72ζ3+2ζ7−2ζ11−2ζ192ζ11+2ζ19000000000000000000000000000000000000000
χ5644444-4-4-4-4−1−5−1+5−1−5−1+5−1−51+51+5−1+51−51−5−1−5−1−51+5−1+5−1+51−51+51−500−4i4i0000000000002ζ3+2ζ7−2ζ3−2ζ72ζ11+2ζ19−2ζ11−2ζ19000000000000000000000000000000000000000
χ57444-4-444-4-4−1+5−1−5−1+5−1−5−1+5−1+5−1+5−1−5−1−5−1−51−51−51−51+51+51+51−51+54-40000000000−1+5−1−51−51+50000000000000000000000000000000000000000000
χ58444-4-444-4-4−1+5−1−5−1+5−1−5−1+5−1+5−1+5−1−5−1−5−1−51−51−51−51+51+51+51−51+5-4400000000001−51+5−1+5−1−50000000000000000000000000000000000000000000
χ59444-4-444-4-4−1−5−1+5−1−5−1+5−1−5−1−5−1−5−1+5−1+5−1+51+51+51+51−51−51−51+51−54-40000000000−1−5−1+51+51−50000000000000000000000000000000000000000000
χ60444-4-444-4-4−1−5−1+5−1−5−1+5−1−5−1−5−1−5−1+5−1+5−1+51+51+51+51−51−51−51+51−5-4400000000001+51−5−1−5−1+50000000000000000000000000000000000000000000
χ61444-4-4-4-444−1+5−1−5−1+5−1−5−1+51−51−5−1−51+51+51−51−5−1+51+51+5−1−5−1+5−1−500004-40000000000000000000000−1+51−5−1−51+5000000000000000000000000000
χ62444-4-4-4-444−1+5−1−5−1+5−1−5−1+51−51−5−1−51+51+51−51−5−1+51+51+5−1−5−1+5−1−50000-4400000000000000000000001−5−1+51+5−1−5000000000000000000000000000
χ63444-4-4-4-444−1−5−1+5−1−5−1+5−1−51+51+5−1+51−51−51+51+5−1−51−51−5−1+5−1−5−1+500004-40000000000000000000000−1−51+5−1+51−5000000000000000000000000000
χ64444-4-4-4-444−1−5−1+5−1−5−1+5−1−51+51+5−1+51−51−51+51+5−1−51−51−5−1+5−1−5−1+50000-4400000000000000000000001+5−1−51−5−1+5000000000000000000000000000
χ6544-44-44-4-44−1+5−1−5−1+5−1−51−5−1+51−51+5−1−51+5−1+51−51−5−1−51+51+5−1+5−1−5000000004-400000000000000000000000000−1+51−5−1−51+50000000000000000000
χ6644-44-44-4-44−1+5−1−5−1+5−1−51−5−1+51−51+5−1−51+5−1+51−51−5−1−51+51+5−1+5−1−500000000-44000000000000000000000000001−5−1+51+5−1−50000000000000000000
χ6744-44-44-4-44−1−5−1+5−1−5−1+51+5−1−51+51−5−1+51−5−1−51+51+5−1+51−51−5−1−5−1+5000000004-400000000000000000000000000−1−51+5−1+51−50000000000000000000
χ6844-44-44-4-44−1−5−1+5−1−5−1+51+5−1−51+51−5−1+51−5−1−51+51+5−1+51−51−5−1−5−1+500000000-44000000000000000000000000001+5−1−51−5−1+50000000000000000000
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χ7044-44-4-444-4−1+5−1−5−1+5−1−51−51−5−1+51+51+5−1−5−1+51−5−1+5−1−51+5−1−51−51+500000000000000000000−2ζ11+2ζ192ζ11−2ζ192ζ3−2ζ7−2ζ3+2ζ700000000000000000000000000000000000
χ7144-44-4-444-4−1+5−1−5−1+5−1−51−51−5−1+51+51+5−1−5−1+51−5−1+5−1−51+5−1−51−51+5000000000000000000002ζ11−2ζ19−2ζ11+2ζ19−2ζ3+2ζ72ζ3−2ζ700000000000000000000000000000000000
χ7244-44-4-444-4−1−5−1+5−1−5−1+51+51+5−1−51−51−5−1+5−1−51+5−1−5−1+51−5−1+51+51−5000000000000000000002ζ3−2ζ7−2ζ3+2ζ72ζ11−2ζ19−2ζ11+2ζ1900000000000000000000000000000000000
χ7344-44-4-444-4−1−5−1+5−1−5−1+51+51+5−1−51−51−5−1+5−1−51+5−1−5−1+51−5−1+51+51−500000000000000000000−2ζ3+2ζ72ζ3−2ζ7−2ζ11+2ζ192ζ11−2ζ1900000000000000000000000000000000000
χ7444-4-444-44-44444-44-4-44-4-444-444-4-400000000000000000000000000000000000000000000000000000000000
χ7544-4-444-44-4−1+5−1−5−1+5−1−51−5−1+51−51+5−1−51+51−5−1+5−1+51+5−1−5−1−51−51+5000000000000000000000000−2ζ11+2ζ192ζ11−2ζ192ζ3−2ζ7−2ζ3+2ζ70000000000000000000000000000000
χ7644-4-444-44-4−1+5−1−5−1+5−1−51−5−1+51−51+5−1−51+51−5−1+5−1+51+5−1−5−1−51−51+50000000000000000000000002ζ11−2ζ19−2ζ11+2ζ19−2ζ3+2ζ72ζ3−2ζ70000000000000000000000000000000
χ7744-4-444-44-4−1−5−1+5−1−5−1+51+5−1−51+51−5−1+51−51+5−1−5−1−51−5−1+5−1+51+51−50000000000000000000000002ζ3−2ζ7−2ζ3+2ζ72ζ11−2ζ19−2ζ11+2ζ190000000000000000000000000000000
χ7844-4-444-44-4−1−5−1+5−1−5−1+51+5−1−51+51−5−1+51−51+5−1−5−1−51−5−1+5−1+51+51−5000000000000000000000000−2ζ3+2ζ72ζ3−2ζ7−2ζ11+2ζ192ζ11−2ζ190000000000000000000000000000000
χ7944-4-44-44-44−1+5−1−5−1+5−1−51−51−5−1+51+51+5−1−51−5−1+51−51+5−1−51+5−1+5−1−50000004-4000000000000000000000000−1+51−5−1−51+500000000000000000000000
χ8044-4-44-44-44−1+5−1−5−1+5−1−51−51−5−1+51+51+5−1−51−5−1+51−51+5−1−51+5−1+5−1−5000000-440000000000000000000000001−5−1+51+5−1−500000000000000000000000
χ8144-4-44-44-44−1−5−1+5−1−5−1+51+51+5−1−51−51−5−1+51+5−1−51+51−5−1+51−5−1−5−1+50000004-4000000000000000000000000−1−51+5−1+51−500000000000000000000000
χ8244-4-44-44-44−1−5−1+5−1−5−1+51+51+5−1−51−51−5−1+51+5−1−51+51−5−1+51−5−1−5−1+5000000-440000000000000000000000001+5−1−51−5−1+500000000000000000000000
χ838-8000000088-8-8000000000000000000000000000000000000000000000000000000004-4000000000000000
χ848-8000000088-8-800000000000000000000000000000000000000000000000000000000-44000000000000000
χ8516-160000000−4+45−4−454−454+450000000000000000000000000000000000000000000000000000000000000000000000000
χ8616-160000000−4−45−4+454+454−450000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.