Finite Group Databasebeta

← Group #12012798

Character table — Group #12012798

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83
size1111222222222244444444444444444488888888888888888888888888881616323232323232323232404040404040404080808080
order122244551010101010104488882020202040404040404040401616161620202020404040408080808080808080808080808080808024410102020202020202444161616164888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-11111-11-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11-111
χ511111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-11111-1-1-1-111-1-1
χ611111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-1-1-1-1-11111-1-111
χ711111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1-1111
χ811111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-11111111-1-1-1
χ92222222222222222-2-2-2-22222-2-2-2-2-2-2-2-200002222-2-2-2-2000000000000000000000000000220000000-200
χ102222222222222222-2-2-2-22222-2-2-2-2-2-2-2-200002222-2-2-2-2000000000000000000000000000-2-20000000200
χ1122222222222222-2-22-2-222222-2-2-2-2-2-2-2-20000-2-2-2-2222200000000000000000000000000000220000-2000
χ1222222222222222-2-22-2-222222-2-2-2-2-2-2-2-20000-2-2-2-2222200000000000000000000000000000-2-200002000
χ1322222222222222-2-2-222-22222222222220000-2-2-2-2-2-2-2-200000000000000002-2022-2-20000000000000000
χ1422222222222222-2-2-222-22222222222220000-2-2-2-2-2-2-2-20000000000000000-220-2-2220000000000000000
χ15222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52222222−1+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+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52000000000000
χ16222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52222222−1+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+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52-2-2-21−521+521−521+521−521−521+521+52000000000000
χ17222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52222222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-2−1+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+521+521+521+521+5222-2−1+52−1−52−1+52−1−521−521−521+521+52000000000000
χ18222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52222222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-2−1+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+521+521+521+521+52-2-221−521+521−521+52−1+52−1+52−1−52−1−52000000000000
χ19222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-222-2−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200001−521−521+521+521−521−521+521+52ζ24−ζ56ζ24−ζ56ζ24−ζ56ζ24−ζ56−ζ24+ζ56−ζ24+ζ56−ζ24+ζ56−ζ24+ζ56−ζ8+ζ72−ζ8+ζ72−ζ8+ζ72−ζ8+ζ72ζ8−ζ72ζ8−ζ72ζ8−ζ72ζ8−ζ722-20−1+52−1−521−521+52ζ24−ζ56−ζ24+ζ56−ζ8+ζ72ζ8−ζ72000000000000
χ20222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-222-2−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200001−521−521+521+521−521−521+521+52ζ24−ζ56ζ24−ζ56ζ24−ζ56ζ24−ζ56−ζ24+ζ56−ζ24+ζ56−ζ24+ζ56−ζ24+ζ56−ζ8+ζ72−ζ8+ζ72−ζ8+ζ72−ζ8+ζ72ζ8−ζ72ζ8−ζ72ζ8−ζ72ζ8−ζ72-2201−521+52−1+52−1−52−ζ24+ζ56ζ24−ζ56ζ8−ζ72−ζ8+ζ72000000000000
χ21222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-222-2−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200001−521−521+521+521−521−521+521+52−ζ24+ζ56−ζ24+ζ56−ζ24+ζ56−ζ24+ζ56ζ24−ζ56ζ24−ζ56ζ24−ζ56ζ24−ζ56ζ8−ζ72ζ8−ζ72ζ8−ζ72ζ8−ζ72−ζ8+ζ72−ζ8+ζ72−ζ8+ζ72−ζ8+ζ722-20−1+52−1−521−521+52−ζ24+ζ56ζ24−ζ56ζ8−ζ72−ζ8+ζ72000000000000
χ22222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-222-2−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200001−521−521+521+521−521−521+521+52−ζ24+ζ56−ζ24+ζ56−ζ24+ζ56−ζ24+ζ56ζ24−ζ56ζ24−ζ56ζ24−ζ56ζ24−ζ56ζ8−ζ72ζ8−ζ72ζ8−ζ72ζ8−ζ72−ζ8+ζ72−ζ8+ζ72−ζ8+ζ72−ζ8+ζ72-2201−521+52−1+52−1−52ζ24−ζ56−ζ24+ζ56−ζ8+ζ72ζ8−ζ72000000000000
χ23222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52222222−1−52−1−52−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52000000000000
χ24222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52222222−1−52−1−52−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52-2-2-21+521−521+521−521+521+521−521−52000000000000
χ25222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52222222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−5222-2−1−52−1+52−1−52−1+521+521+521−521−52000000000000
χ26222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52222222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−52-2-221+521−521+521−52−1−52−1−52−1+52−1+52000000000000
χ27222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-222-2−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200001+521+521−521−521+521+521−521−52−ζ8+ζ72−ζ8+ζ72−ζ8+ζ72−ζ8+ζ72ζ8−ζ72ζ8−ζ72ζ8−ζ72ζ8−ζ72−ζ24+ζ56−ζ24+ζ56−ζ24+ζ56−ζ24+ζ56ζ24−ζ56ζ24−ζ56ζ24−ζ56ζ24−ζ562-20−1−52−1+521+521−52−ζ8+ζ72ζ8−ζ72−ζ24+ζ56ζ24−ζ56000000000000
χ28222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-222-2−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200001+521+521−521−521+521+521−521−52−ζ8+ζ72−ζ8+ζ72−ζ8+ζ72−ζ8+ζ72ζ8−ζ72ζ8−ζ72ζ8−ζ72ζ8−ζ72−ζ24+ζ56−ζ24+ζ56−ζ24+ζ56−ζ24+ζ56ζ24−ζ56ζ24−ζ56ζ24−ζ56ζ24−ζ56-2201+521−52−1−52−1+52ζ8−ζ72−ζ8+ζ72ζ24−ζ56−ζ24+ζ56000000000000
χ29222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-222-2−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200001+521+521−521−521+521+521−521−52ζ8−ζ72ζ8−ζ72ζ8−ζ72ζ8−ζ72−ζ8+ζ72−ζ8+ζ72−ζ8+ζ72−ζ8+ζ72ζ24−ζ56ζ24−ζ56ζ24−ζ56ζ24−ζ56−ζ24+ζ56−ζ24+ζ56−ζ24+ζ56−ζ24+ζ562-20−1−52−1+521+521−52ζ8−ζ72−ζ8+ζ72ζ24−ζ56−ζ24+ζ56000000000000
χ30222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-222-2−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200001+521+521−521−521+521+521−521−52ζ8−ζ72ζ8−ζ72ζ8−ζ72ζ8−ζ72−ζ8+ζ72−ζ8+ζ72−ζ8+ζ72−ζ8+ζ72ζ24−ζ56ζ24−ζ56ζ24−ζ56ζ24−ζ56−ζ24+ζ56−ζ24+ζ56−ζ24+ζ56−ζ24+ζ56-2201+521−52−1−52−1+52−ζ8+ζ72ζ8−ζ72−ζ24+ζ56ζ24−ζ56000000000000
χ312222-2-222222222-220000-2-2-2-20000000022−2−22-22-2000022−2−222−2−222−2−222−2−2000000000002-20022−2−20000
χ322222-2-222222222-220000-2-2-2-20000000022−2−22-22-2000022−2−222−2−222−2−222−2−200000000000-2200−2−2220000
χ332222-2-222222222-220000-2-2-2-200000000−2−2222-22-20000−2−222−2−222−2−222−2−222000000000002-200−2−2220000
χ342222-2-222222222-220000-2-2-2-200000000−2−2222-22-20000−2−222−2−222−2−222−2−22200000000000-220022−2−20000
χ352-2-22-2222-2-2-2-22200-20022-22-2000000002−22−200002-22-22−22−22−22−22−22−22−22−200000000000002-20000002−2
χ362-2-22-2222-2-2-2-22200-20022-22-2000000002−22−200002-22-22−22−22−22−22−22−22−22−20000000000000-22000000−22
χ372-2-22-2222-2-2-2-22200-20022-22-200000000−22−2200002-22-2−22−22−22−22−22−22−22−2200000000000002-2000000−22
χ382-2-22-2222-2-2-2-22200-20022-22-200000000−22−2200002-22-2−22−22−22−22−22−22−22−220000000000000-220000002−2
χ39444444−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−544-4-4-4-4−1+5−1+5−1−5−1−51−51−51−51−51+51+51+51+50000−1+5−1+5−1−5−1−51−51−51+51+5000000000000000000000000000000000000000
χ40444444−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−5-4-44-4-44−1+5−1+5−1−5−1−51−51−51−51−51+51+51+51+500001−51−51+51+5−1+5−1+5−1−5−1−5000000000000000000000000000000000000000
χ41444444−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+544-4-4-4-4−1−5−1−5−1+5−1+51+51+51+51+51−51−51−51−50000−1−5−1−5−1+5−1+51+51+51−51−5000000000000000000000000000000000000000
χ42444444−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+5-4-44-4-44−1−5−1−5−1+5−1+51+51+51+51+51−51−51−51−500001+51+51−51−5−1−5−1−5−1+5−1+5000000000000000000000000000000000000000
χ434444-4-4444444444-40000-4-4-4-4000000000000-44-440000000000000000000000000000000000000000000
χ444444-4-4−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−54-400001−51−51+51+50000000000001−5−1+51+5−1−50000−ζ14−ζ26+ζ46+ζ74−ζ14−ζ26+ζ46+ζ74ζ14+ζ26−ζ46−ζ74ζ14+ζ26−ζ46−ζ74ζ14+ζ26−ζ46−ζ74ζ14+ζ26−ζ46−ζ74−ζ14−ζ26+ζ46+ζ74−ζ14−ζ26+ζ46+ζ74ζ42−ζ58−ζ62+ζ78ζ42−ζ58−ζ62+ζ78−ζ42+ζ58+ζ62−ζ78−ζ42+ζ58+ζ62−ζ78−ζ42+ζ58+ζ62−ζ78−ζ42+ζ58+ζ62−ζ78ζ42−ζ58−ζ62+ζ78ζ42−ζ58−ζ62+ζ7800000000000000000000000
χ454444-4-4−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−54-400001−51−51+51+50000000000001−5−1+51+5−1−50000ζ14+ζ26−ζ46−ζ74ζ14+ζ26−ζ46−ζ74−ζ14−ζ26+ζ46+ζ74−ζ14−ζ26+ζ46+ζ74−ζ14−ζ26+ζ46+ζ74−ζ14−ζ26+ζ46+ζ74ζ14+ζ26−ζ46−ζ74ζ14+ζ26−ζ46−ζ74−ζ42+ζ58+ζ62−ζ78−ζ42+ζ58+ζ62−ζ78ζ42−ζ58−ζ62+ζ78ζ42−ζ58−ζ62+ζ78ζ42−ζ58−ζ62+ζ78ζ42−ζ58−ζ62+ζ78−ζ42+ζ58+ζ62−ζ78−ζ42+ζ58+ζ62−ζ7800000000000000000000000
χ464444-4-4−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−5-4400001−51−51+51+5000000002222−22−22−1+51−5−1−51+50000−ζ14+ζ26−ζ46+ζ74−ζ14+ζ26−ζ46+ζ74ζ14−ζ26+ζ46−ζ74ζ14−ζ26+ζ46−ζ74−ζ14+ζ26−ζ46+ζ74−ζ14+ζ26−ζ46+ζ74ζ14−ζ26+ζ46−ζ74ζ14−ζ26+ζ46−ζ74ζ42+ζ58−ζ62−ζ78ζ42+ζ58−ζ62−ζ78−ζ42−ζ58+ζ62+ζ78−ζ42−ζ58+ζ62+ζ78ζ42+ζ58−ζ62−ζ78ζ42+ζ58−ζ62−ζ78−ζ42−ζ58+ζ62+ζ78−ζ42−ζ58+ζ62+ζ7800000000000000000000000
χ474444-4-4−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−5-4400001−51−51+51+500000000−22−222222−1+51−5−1−51+50000ζ14−ζ26+ζ46−ζ74ζ14−ζ26+ζ46−ζ74−ζ14+ζ26−ζ46+ζ74−ζ14+ζ26−ζ46+ζ74ζ14−ζ26+ζ46−ζ74ζ14−ζ26+ζ46−ζ74−ζ14+ζ26−ζ46+ζ74−ζ14+ζ26−ζ46+ζ74−ζ42−ζ58+ζ62+ζ78−ζ42−ζ58+ζ62+ζ78ζ42+ζ58−ζ62−ζ78ζ42+ζ58−ζ62−ζ78−ζ42−ζ58+ζ62+ζ78−ζ42−ζ58+ζ62+ζ78ζ42+ζ58−ζ62−ζ78ζ42+ζ58−ζ62−ζ7800000000000000000000000
χ484444-4-4−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+54-400001+51+51−51−50000000000001+5−1−51−5−1+50000−ζ42+ζ58+ζ62−ζ78−ζ42+ζ58+ζ62−ζ78ζ42−ζ58−ζ62+ζ78ζ42−ζ58−ζ62+ζ78ζ42−ζ58−ζ62+ζ78ζ42−ζ58−ζ62+ζ78−ζ42+ζ58+ζ62−ζ78−ζ42+ζ58+ζ62−ζ78−ζ14−ζ26+ζ46+ζ74−ζ14−ζ26+ζ46+ζ74ζ14+ζ26−ζ46−ζ74ζ14+ζ26−ζ46−ζ74ζ14+ζ26−ζ46−ζ74ζ14+ζ26−ζ46−ζ74−ζ14−ζ26+ζ46+ζ74−ζ14−ζ26+ζ46+ζ7400000000000000000000000
χ494444-4-4−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+54-400001+51+51−51−50000000000001+5−1−51−5−1+50000ζ42−ζ58−ζ62+ζ78ζ42−ζ58−ζ62+ζ78−ζ42+ζ58+ζ62−ζ78−ζ42+ζ58+ζ62−ζ78−ζ42+ζ58+ζ62−ζ78−ζ42+ζ58+ζ62−ζ78ζ42−ζ58−ζ62+ζ78ζ42−ζ58−ζ62+ζ78ζ14+ζ26−ζ46−ζ74ζ14+ζ26−ζ46−ζ74−ζ14−ζ26+ζ46+ζ74−ζ14−ζ26+ζ46+ζ74−ζ14−ζ26+ζ46+ζ74−ζ14−ζ26+ζ46+ζ74ζ14+ζ26−ζ46−ζ74ζ14+ζ26−ζ46−ζ7400000000000000000000000
χ504444-4-4−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+5-4400001+51+51−51−5000000002222−22−22−1−51+5−1+51−50000ζ42+ζ58−ζ62−ζ78ζ42+ζ58−ζ62−ζ78−ζ42−ζ58+ζ62+ζ78−ζ42−ζ58+ζ62+ζ78ζ42+ζ58−ζ62−ζ78ζ42+ζ58−ζ62−ζ78−ζ42−ζ58+ζ62+ζ78−ζ42−ζ58+ζ62+ζ78−ζ14+ζ26−ζ46+ζ74−ζ14+ζ26−ζ46+ζ74ζ14−ζ26+ζ46−ζ74ζ14−ζ26+ζ46−ζ74−ζ14+ζ26−ζ46+ζ74−ζ14+ζ26−ζ46+ζ74ζ14−ζ26+ζ46−ζ74ζ14−ζ26+ζ46−ζ7400000000000000000000000
χ514444-4-4−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+5-4400001+51+51−51−500000000−22−222222−1−51+5−1+51−50000−ζ42−ζ58+ζ62+ζ78−ζ42−ζ58+ζ62+ζ78ζ42+ζ58−ζ62−ζ78ζ42+ζ58−ζ62−ζ78−ζ42−ζ58+ζ62+ζ78−ζ42−ζ58+ζ62+ζ78ζ42+ζ58−ζ62−ζ78ζ42+ζ58−ζ62−ζ78ζ14−ζ26+ζ46−ζ74ζ14−ζ26+ζ46−ζ74−ζ14+ζ26−ζ46+ζ74−ζ14+ζ26−ζ46+ζ74ζ14−ζ26+ζ46−ζ74ζ14−ζ26+ζ46−ζ74−ζ14+ζ26−ζ46+ζ74−ζ14+ζ26−ζ46+ζ7400000000000000000000000
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χ828-88-800−2−25−2+252+25−2−252−25−2+252+252−250000000000−2ζ42+2ζ58+2ζ62−2ζ782ζ42−2ζ58−2ζ62+2ζ782ζ42−2ζ58−2ζ62+2ζ78−2ζ42+2ζ58+2ζ62−2ζ78−2ζ14−2ζ26+2ζ46+2ζ742ζ14+2ζ26−2ζ46−2ζ742ζ14+2ζ26−2ζ46−2ζ74−2ζ14−2ζ26+2ζ46+2ζ74000000000000000000000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 80 (ζ80 = 1).