Finite Group Databasebeta

← Group #12130705

Character table — Group #12130705

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size112222222222244444444444444888888888816161616161616161616161616161616161616161616161616161616161620202020202020202020404040404040408080
order1222244445510101010101010102020202020202020222244448848101010101010101020202020202020202020202040404040404040402222222244244448848
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-11-111-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-11-111-1-1-1-1
χ4111111111111111111111111111111-11-111-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-11111
χ511111111111111111111111111111-11-11-1-1-1-1-111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-11-1-1-1111-1
χ611111111111111111111111111111-11-11-1-1-1-1-111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111-1111-1-1-11
χ711111111111111111111111111111-1-1-1-1-1-1111-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1111-1-1-1-1-11
χ811111111111111111111111111111-1-1-1-1-1-1111-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-111111-1
χ9111111111111111111111111111-1-11111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111-11-1-111-1-1
χ10111111111111111111111111111-1-11111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-11-111-1-111
χ11111111111111111111111111111-1-11-11-1-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-111
χ12111111111111111111111111111-1-11-11-1-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111111-1-1
χ13111111111111111111111111111-1-1-11-1111-1-11-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11111-11
χ14111111111111111111111111111-1-1-11-1111-1-11-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-11-1
χ15111111111111111111111111111-1-1-1-1-1-11111-11-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-11-1111-1-11-1
χ16111111111111111111111111111-1-1-1-1-1-11111-11-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1111111-11-1-1-111-11
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+52−1−52−1−52222-22-222-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+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+52−1−52−1−5222-22-22-2-2-2-2-22−1+52−1+52−1−52−1−521−521+52−1+52−1−521−521+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+52−1−52−1−5222-2-2-2-2-2-2222-2−1+52−1+52−1−52−1−521−521+521−521+521−521+521−521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+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+52−1−52−1−52-2-22222-2-222-2-21−521−521+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
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+52−1−52−1−52-2-22-22-2-2-2-2-2221−521−521+521+52−1+52−1−521−521+52−1+52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+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+52−1−52−1−52-2-2-22-2222-2-22-21−521−521+521+521−521+52−1+52−1−521−521+52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+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+52−1−52−1−52-2-2-2-2-2-22222-221−521−521+521+521−521+521−521+521−521+521−521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000000
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+52222-22-222-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−521+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+5222-22-22-2-2-2-2-22−1−52−1−52−1+52−1+521+521−52−1−52−1+521+521−52−1−52−1+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+5222-2-2-2-2-2-2222-2−1−52−1−52−1+52−1+521+521−521+521−521+521−521+521−521+521+521−521−52−1−52−1−52−1+52−1+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+52-2-22222-2-222-2-21+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
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+52-2-22-22-2-2-2-2-2221+521+521−521−52−1−52−1+521+521−52−1−52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−520000000000000000000
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+52-2-2-22-2222-2-22-21+521+521−521−521+521−52−1−52−1+521+521−52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−520000000000000000000
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+52-2-2-2-2-2-22222-221+521+521−521−521+521−521+521−521+521−521+521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000000
χ3322222-2-2-2-22222222222-2-2-2-2-2-2-2-20000002-200000000000000002-22-20000000000000000222-22-20-20000000
χ3422222-2-2-2-22222222222-2-2-2-2-2-2-2-20000002-200000000000000002-22-20000000000000000-2-2-22-22020000000
χ3522222-2-2-2-22222222222-2-2-2-2-2-2-2-2000000-220000000000000000-22-22000000000000000022-22-220-20000000
χ3622222-2-2-2-22222222222-2-2-2-2-2-2-2-2000000-220000000000000000-22-220000000000000000-2-22-22-2020000000
χ37222-2-2-2-2222222-2-22-22-22-22-22-22-2000000002-2000000000000000000000000002-22-222-2-200000020-2000000
χ38222-2-2-2-2222222-2-22-22-22-22-22-22-2000000002-2000000000000000000000000002-22-2-2-222000000-202000000
χ39222-2-2-2-2222222-2-22-22-22-22-22-22-200000000-2200000000000000000000000000-22-2222-2-2000000-202000000
χ40222-2-2-2-2222222-2-22-22-22-22-22-22-200000000-2200000000000000000000000000-22-22-2-22200000020-2000000
χ4122-22-2-22-22222222-2-2-2-2-2-2-2-2222200020-20000000000002200-2-200000000000000002-22-2000000000002-200
χ4222-22-2-22-22222222-2-2-2-2-2-2-2-2222200020-20000000000002200-2-20000000000000000-22-2200000000000-2200
χ4322-22-2-22-22222222-2-2-2-2-2-2-2-22222000-202000000000000-2-2002200000000000000002-22-200000000000-2200
χ4422-22-2-22-22222222-2-2-2-2-2-2-2-22222000-202000000000000-2-200220000000000000000-22-22000000000002-200
χ4522-2-222-2-222222-2-2-22-22-22-222-22-20020-2000000000002200-2-20000000000000000002-2-22002-2-22000000000
χ4622-2-222-2-222222-2-2-22-22-22-222-22-20020-2000000000002200-2-2000000000000000000-222-200-222-2000000000
χ4722-2-222-2-222222-2-2-22-22-22-222-22-200-20200000000000-2-200220000000000000000002-2-2200-222-2000000000
χ4822-2-222-2-222222-2-2-22-22-22-222-22-200-20200000000000-2-20022000000000000000000-222-2002-2-22000000000
χ4922-2-22-222-22222-2-2-22-222-22-2-22-222-200000000002-22-200000000000000000000000000000022-2-20002-20000
χ5022-2-22-222-22222-2-2-22-222-22-2-22-222-200000000002-22-2000000000000000000000000000000-2-222000-220000
χ5122-2-22-222-22222-2-2-22-222-22-2-22-22-220000000000-22-2200000000000000000000000000000022-2-2000-220000
χ5222-2-22-222-22222-2-2-22-222-22-2-22-22-220000000000-22-22000000000000000000000000000000-2-2220002-20000
χ5344444-4-4-4-4−1+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+50000004-40000000000000000−1+51−5−1−51+50000000000000000000000000000000
χ5444444-4-4-4-4−1+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+5000000-4400000000000000001−5−1+51+5−1−50000000000000000000000000000000
χ5544444-4-4-4-4−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+51+51+51−51−51+51+51−51−50000004-40000000000000000−1−51+5−1+51−50000000000000000000000000000000
χ5644444-4-4-4-4−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+51+51+51−51−51+51+51−51−5000000-4400000000000000001+5−1−51−5−1+50000000000000000000000000000000
χ57444-4-444-4-44444-4-44-44-4-44-44-44-4400000000000000000000000000000000000000000000000000000000000
χ58444-4-444-4-4−1+5−1−5−1+5−1−51−51+5−1+51−5−1−51+51−5−1+51+5−1−51−5−1+51+5−1−5000000000000000000000000000000002ζ6−2ζ14−2ζ6+2ζ14−2ζ2+2ζ182ζ2−2ζ1800000000000000000000000
χ59444-4-444-4-4−1+5−1−5−1+5−1−51−51+5−1+51−5−1−51+51−5−1+51+5−1−51−5−1+51+5−1−500000000000000000000000000000000−2ζ6+2ζ142ζ6−2ζ142ζ2−2ζ18−2ζ2+2ζ1800000000000000000000000
χ60444-4-444-4-4−1−5−1+5−1−5−1+51+51−5−1−51+5−1+51−51+5−1−51−5−1+51+5−1−51−5−1+500000000000000000000000000000000−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ1400000000000000000000000
χ61444-4-444-4-4−1−5−1+5−1−5−1+51+51−5−1−51+5−1+51−51+5−1−51−5−1+51+5−1−51−5−1+5000000000000000000000000000000002ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ1400000000000000000000000
χ62444-4-4-4-444−1+5−1−5−1+5−1−51−51+5−1+51−5−1−51+5−1+51−5−1−51+5−1+51−5−1−51+5000000004-400000000000000000000000000−1+51−5−1−51+50000000000000000000
χ63444-4-4-4-444−1+5−1−5−1+5−1−51−51+5−1+51−5−1−51+5−1+51−5−1−51+5−1+51−5−1−51+500000000-44000000000000000000000000001−5−1+51+5−1−50000000000000000000
χ64444-4-4-4-444−1−5−1+5−1−5−1+51+51−5−1−51+5−1+51−5−1−51+5−1+51−5−1−51+5−1+51−5000000004-400000000000000000000000000−1−51+5−1+51−50000000000000000000
χ65444-4-4-4-444−1−5−1+5−1−5−1+51+51−5−1−51+5−1+51−5−1−51+5−1+51−5−1−51+5−1+51−500000000-44000000000000000000000000001+5−1−51−5−1+50000000000000000000
χ6644-44-44-44-4444444-4-4-4-44444-4-4-4-400000000000000000000000000000000000000000000000000000000000
χ6744-44-44-44-4−1+5−1−5−1+5−1−5−1+5−1−51−51−51+51+5−1+5−1+5−1−5−1−51−51−51+51+50000000000000000000000000000−2ζ11+2ζ192ζ11−2ζ192ζ3−2ζ7−2ζ3+2ζ7000000000000000000000000000
χ6844-44-44-44-4−1+5−1−5−1+5−1−5−1+5−1−51−51−51+51+5−1+5−1+5−1−5−1−51−51−51+51+500000000000000000000000000002ζ11−2ζ19−2ζ11+2ζ19−2ζ3+2ζ72ζ3−2ζ7000000000000000000000000000
χ6944-44-44-44-4−1−5−1+5−1−5−1+5−1−5−1+51+51+51−51−5−1−5−1−5−1+5−1+51+51+51−51−500000000000000000000000000002ζ3−2ζ7−2ζ3+2ζ72ζ11−2ζ19−2ζ11+2ζ19000000000000000000000000000
χ7044-44-44-44-4−1−5−1+5−1−5−1+5−1−5−1+51+51+51−51−5−1−5−1−5−1+5−1+51+51+51−51−50000000000000000000000000000−2ζ3+2ζ72ζ3−2ζ7−2ζ11+2ζ192ζ11−2ζ19000000000000000000000000000
χ7144-44-4-44-44−1+5−1−5−1+5−1−5−1+5−1−51−51−51+51+51−51−51+51+5−1+5−1+5−1−5−1−500040-4000000000000−1+5−1−5001−51+500000000000000000000000000000000000
χ7244-44-4-44-44−1+5−1−5−1+5−1−5−1+5−1−51−51−51+51+51−51−51+51+5−1+5−1+5−1−5−1−5000-4040000000000001−51+500−1+5−1−500000000000000000000000000000000000
χ7344-44-4-44-44−1−5−1+5−1−5−1+5−1−5−1+51+51+51−51−51+51+51−51−5−1−5−1−5−1+5−1+500040-4000000000000−1−5−1+5001+51−500000000000000000000000000000000000
χ7444-44-4-44-44−1−5−1+5−1−5−1+5−1−5−1+51+51+51−51−51+51+51−51−5−1−5−1−5−1+5−1+5000-4040000000000001+51−500−1−5−1+500000000000000000000000000000000000
χ7544-4-444-4-44−1+5−1−5−1+5−1−51−51+51−5−1+51+5−1−51−5−1+51+5−1−5−1+51−5−1−51+50040-400000000000−1+5−1−5001−51+50000000000000000000000000000000000000
χ7644-4-444-4-44−1+5−1−5−1+5−1−51−51+51−5−1+51+5−1−51−5−1+51+5−1−5−1+51−5−1−51+500-404000000000001−51+500−1+5−1−50000000000000000000000000000000000000
χ7744-4-444-4-44−1−5−1+5−1−5−1+51+51−51+5−1−51−5−1+51+5−1−51−5−1+5−1−51+5−1+51−50040-400000000000−1−5−1+5001+51−50000000000000000000000000000000000000
χ7844-4-444-4-44−1−5−1+5−1−5−1+51+51−51+5−1−51−5−1+51+5−1−51−5−1+5−1−51+5−1+51−500-404000000000001+51−500−1−5−1+50000000000000000000000000000000000000
χ7944-4-44-444-4−1+5−1−5−1+5−1−51−51+51−5−1+51+5−1−5−1+51−5−1−51+51−5−1+51+5−1−54-40000000000−1+51−5−1−51+50000000000000000000000000000000000000000000
χ8044-4-44-444-4−1+5−1−5−1+5−1−51−51+51−5−1+51+5−1−5−1+51−5−1−51+51−5−1+51+5−1−5-4400000000001−5−1+51+5−1−50000000000000000000000000000000000000000000
χ8144-4-44-444-4−1−5−1+5−1−5−1+51+51−51+5−1−51−5−1+5−1−51+5−1+51−51+5−1−51−5−1+54-40000000000−1−51+5−1+51−50000000000000000000000000000000000000000000
χ8244-4-44-444-4−1−5−1+5−1−5−1+51+51−51+5−1−51−5−1+5−1−51+5−1+51−51+5−1−51−5−1+5-4400000000001+5−1−51−5−1+50000000000000000000000000000000000000000000
χ838-8000000088-8-800000000000000000000000000000000000000000000000000000000004-40000000000000
χ848-8000000088-8-80000000000000000000000000000000000000000000000000000000000-440000000000000
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).