Finite Group Databasebeta

← Group #12010252

Character table — Group #12010252

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size11112222222222222222444444444444444444488888888888888888888888888101016161616161616161616161620202020202020323232324040404080808080
order122222445588881010101010104881010101020202020404040404040404016161616202040404040808080808080808080808080808080804444442020202020202020444888820202020161616164444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-11111-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111-1-1111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-111-1-1
χ6111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111111111111-1-1-1-1-1-1-1-1-1-111
χ7111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111
χ8111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ91111-1-11111-1-1-1-1111111-111-1-1-1-11111-1-1-1-1-1-1-1-1ii−i−i-1-11111iiiiiiii−i−i−i−i−i−i−i−i111-1i−iiiii−i−i−i−i-11-111-1-1-1-111ii−i−i-11i−i
χ101111-1-11111-1-1-1-1111111-111-1-1-1-11111-1-1-1-1-1-1-1-1ii−i−i-1-11111iiiiiiii−i−i−i−i−i−i−i−i11-11−ii−i−i−i−iiiii-11-111-1-111-1-1ii−i−i1-1−ii
χ111111-1-11111-1-1-1-1111111-111-1-1-1-11111-1-1-1-1-1-1-1-1ii−i−i-1-11111iiiiiiii−i−i−i−i−i−i−i−i-1-11-1i−iiiii−i−i−i−i1-11-1-111-1-111−i−iii1-1−ii
χ121111-1-11111-1-1-1-1111111-111-1-1-1-11111-1-1-1-1-1-1-1-1ii−i−i-1-11111iiiiiiii−i−i−i−i−i−i−i−i-1-1-11−ii−i−i−i−iiiii1-11-1-11111-1-1−i−iii-11i−i
χ131111-1-11111-1-1-1-1111111-111-1-1-1-11111-1-1-1-1-1-1-1-1−i−iii-1-11111−i−i−i−i−i−i−i−iiiiiiiii111-1−ii−i−i−i−iiiii-11-111-1-1-1-111−i−iii-11−ii
χ141111-1-11111-1-1-1-1111111-111-1-1-1-11111-1-1-1-1-1-1-1-1−i−iii-1-11111−i−i−i−i−i−i−i−iiiiiiiii11-11i−iiiii−i−i−i−i-11-111-1-111-1-1−i−iii1-1i−i
χ151111-1-11111-1-1-1-1111111-111-1-1-1-11111-1-1-1-1-1-1-1-1−i−iii-1-11111−i−i−i−i−i−i−i−iiiiiiiii-1-11-1−ii−i−i−i−iiiii1-11-1-111-1-111ii−i−i1-1i−i
χ161111-1-11111-1-1-1-1111111-111-1-1-1-11111-1-1-1-1-1-1-1-1−i−iii-1-11111−i−i−i−i−i−i−i−iiiiiiiii-1-1-11i−iiiii−i−i−i−i1-11-1-11111-1-1ii−i−i-11−ii
χ172222222222-2-2-2-22222222-2-222222222-2-2-2-2-2-2-2-2000022-2-2-2-2000000000000000022000000000000222-2-2-2-2000000000000
χ182222222222-2-2-2-22222222-2-222222222-2-2-2-2-2-2-2-2000022-2-2-2-20000000000000000-2-2000000000000-2-2-22222000000000000
χ1922222222−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+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+52−1−52−1−52−1−52−1−52002222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000−1+52−1−52−1+52−1−5200000000
χ2022222222−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+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+52−1−52−1−52−1−52−1−5200-2-2-2-21−521−521+521+521−521−521+521+5200000001−521+521−521+5200000000
χ2122222222−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+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+52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+520022-2-21−521−521+521+521−521−521+521+520000000−1+52−1−52−1+52−1−5200000000
χ2222222222−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+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+52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+5200-2-222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000001−521+521−521+5200000000
χ2322222222−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+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+52002222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000−1−52−1+52−1−52−1+5200000000
χ2422222222−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+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+5200-2-2-2-21+521+521−521−521+521+521−521−5200000001+521−521+521−5200000000
χ2522222222−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+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+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−520022-2-21+521+521−521−521+521+521−521−520000000−1−52−1+52−1−52−1+5200000000
χ2622222222−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+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+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−5200-2-222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000001+521−521+521−5200000000
χ27222222-2-2220000222222-2002222-2-2-2-2000000002−22−2-2-2000022−2−222−2−222−2−222−2−2220000000000002-2-2000000002−22−20000
χ28222222-2-2220000222222-2002222-2-2-2-2000000002−22−2-2-2000022−2−222−2−222−2−222−2−2-2-2000000000000-22200000000−22−220000
χ29222222-2-2220000222222-2002222-2-2-2-200000000−22−22-2-20000−2−222−2−222−2−222−2−222220000000000002-2-200000000−22−220000
χ30222222-2-2220000222222-2002222-2-2-2-200000000−22−22-2-20000−2−222−2−222−2−222−2−222-2-2000000000000-222000000002−22−20000
χ312222-2-222222222222222-2-2-2-2-2-2-22222222222220000-2-2-2-2-2-2000000000000000022000000000000-22-2-2-222000000000000
χ322222-2-222222222222222-2-2-2-2-2-2-22222222222220000-2-2-2-2-2-20000000000000000-2-20000000000002-2222-2-2000000000000
χ332222-2-222−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52-2221−521+521−521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+522i2i−2i−2i1−521+52−1+52−1+52−1−52−1−52−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76−ζ12−ζ28−ζ12−ζ28−ζ12−ζ28−ζ12−ζ28ζ44+ζ76ζ44+ζ76ζ44+ζ76ζ44+ζ76ζ12+ζ28ζ12+ζ28ζ12+ζ28ζ12+ζ28002-22i−2i−ζ44−ζ76−ζ44−ζ76−ζ12−ζ28−ζ12−ζ28ζ44+ζ76ζ44+ζ76ζ12+ζ28ζ12+ζ2800000001−521+52−1+52−1−5200000000
χ342222-2-222−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52-2221−521+521−521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+522i2i−2i−2i1−521+52−1+52−1+52−1−52−1−52−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76−ζ12−ζ28−ζ12−ζ28−ζ12−ζ28−ζ12−ζ28ζ44+ζ76ζ44+ζ76ζ44+ζ76ζ44+ζ76ζ12+ζ28ζ12+ζ28ζ12+ζ28ζ12+ζ2800-22−2i2iζ44+ζ76ζ44+ζ76ζ12+ζ28ζ12+ζ28−ζ44−ζ76−ζ44−ζ76−ζ12−ζ28−ζ12−ζ280000000−1+52−1−521−521+5200000000
χ352222-2-222−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52-2221−521+521−521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52−2i−2i2i2i1−521+52−1+52−1+52−1−52−1−52ζ44+ζ76ζ44+ζ76ζ44+ζ76ζ44+ζ76ζ12+ζ28ζ12+ζ28ζ12+ζ28ζ12+ζ28−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76−ζ12−ζ28−ζ12−ζ28−ζ12−ζ28−ζ12−ζ28002-2−2i2iζ44+ζ76ζ44+ζ76ζ12+ζ28ζ12+ζ28−ζ44−ζ76−ζ44−ζ76−ζ12−ζ28−ζ12−ζ2800000001−521+52−1+52−1−5200000000
χ362222-2-222−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52-2221−521+521−521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52−2i−2i2i2i1−521+52−1+52−1+52−1−52−1−52ζ44+ζ76ζ44+ζ76ζ44+ζ76ζ44+ζ76ζ12+ζ28ζ12+ζ28ζ12+ζ28ζ12+ζ28−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76−ζ12−ζ28−ζ12−ζ28−ζ12−ζ28−ζ12−ζ2800-222i−2i−ζ44−ζ76−ζ44−ζ76−ζ12−ζ28−ζ12−ζ28ζ44+ζ76ζ44+ζ76ζ12+ζ28ζ12+ζ280000000−1+52−1−521−521+5200000000
χ372222-2-222−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52-2221+521−521+521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−522i2i−2i−2i1+521−52−1−52−1−52−1+52−1+52−ζ12−ζ28−ζ12−ζ28−ζ12−ζ28−ζ12−ζ28−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76ζ12+ζ28ζ12+ζ28ζ12+ζ28ζ12+ζ28ζ44+ζ76ζ44+ζ76ζ44+ζ76ζ44+ζ76002-22i−2i−ζ12−ζ28−ζ12−ζ28−ζ44−ζ76−ζ44−ζ76ζ12+ζ28ζ12+ζ28ζ44+ζ76ζ44+ζ7600000001+521−52−1−52−1+5200000000
χ382222-2-222−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52-2221+521−521+521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−522i2i−2i−2i1+521−52−1−52−1−52−1+52−1+52−ζ12−ζ28−ζ12−ζ28−ζ12−ζ28−ζ12−ζ28−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76ζ12+ζ28ζ12+ζ28ζ12+ζ28ζ12+ζ28ζ44+ζ76ζ44+ζ76ζ44+ζ76ζ44+ζ7600-22−2i2iζ12+ζ28ζ12+ζ28ζ44+ζ76ζ44+ζ76−ζ12−ζ28−ζ12−ζ28−ζ44−ζ76−ζ44−ζ760000000−1−52−1+521+521−5200000000
χ392222-2-222−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52-2221+521−521+521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52−2i−2i2i2i1+521−52−1−52−1−52−1+52−1+52ζ12+ζ28ζ12+ζ28ζ12+ζ28ζ12+ζ28ζ44+ζ76ζ44+ζ76ζ44+ζ76ζ44+ζ76−ζ12−ζ28−ζ12−ζ28−ζ12−ζ28−ζ12−ζ28−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76002-2−2i2iζ12+ζ28ζ12+ζ28ζ44+ζ76ζ44+ζ76−ζ12−ζ28−ζ12−ζ28−ζ44−ζ76−ζ44−ζ7600000001+521−52−1−52−1+5200000000
χ402222-2-222−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52-2221+521−521+521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52−2i−2i2i2i1+521−52−1−52−1−52−1+52−1+52ζ12+ζ28ζ12+ζ28ζ12+ζ28ζ12+ζ28ζ44+ζ76ζ44+ζ76ζ44+ζ76ζ44+ζ76−ζ12−ζ28−ζ12−ζ28−ζ12−ζ28−ζ12−ζ28−ζ44−ζ76−ζ44−ζ76−ζ44−ζ76−ζ44−ζ7600-222i−2i−ζ12−ζ28−ζ12−ζ28−ζ44−ζ76−ζ44−ζ76ζ12+ζ28ζ12+ζ28ζ44+ζ76ζ44+ζ760000000−1−52−1+521+521−5200000000
χ412222-2-2-2-2220000222222200-2-2-2-2-2-2-2-200000000i2−i2−i2i2220000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i222000000000000-2-2200000000i2−i2−i2i20000
χ422222-2-2-2-2220000222222200-2-2-2-2-2-2-2-200000000i2−i2−i2i2220000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2-2-200000000000022-200000000−i2i2i2−i20000
χ432222-2-2-2-2220000222222200-2-2-2-2-2-2-2-200000000−i2i2i2−i2220000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i222000000000000-2-2200000000−i2i2i2−i20000
χ442222-2-2-2-2220000222222200-2-2-2-2-2-2-2-200000000−i2i2i2−i2220000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2-2-200000000000022-200000000i2−i2−i2i20000
χ4544444444−1+5−1−5-4-4-4-4−1+5−1−5−1+5−1−5−1+5−1−54-4-4−1+5−1−5−1+5−1−5−1+5−1−5−1+5−1−51−51−51−51−51+51+51+51+50000−1+5−1−51−51−51+51+50000000000000000000000000000000000000000000000000
χ4644444444−1−5−1+5-4-4-4-4−1−5−1+5−1−5−1+5−1−5−1+54-4-4−1−5−1+5−1−5−1+5−1−5−1+5−1−5−1+51+51+51+51+51−51−51−51−50000−1−5−1+51+51+51−51−50000000000000000000000000000000000000000000000000
χ47444444-4-4−1+5−1−50000−1+5−1−5−1+5−1−5−1+5−1−5-400−1+5−1−5−1+5−1−51−51+51−51+50000000022−2222−221−51+50000−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+ζ78−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+ζ78000000000000000000000000000000000
χ48444444-4-4−1+5−1−50000−1+5−1−5−1+5−1−5−1+5−1−5-400−1+5−1−5−1+5−1−51−51+51−51+500000000−2222−22221−51+50000ζ14−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−ζ78ζ14−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−ζ78000000000000000000000000000000000
χ49444444-4-4−1−5−1+50000−1−5−1+5−1−5−1+5−1−5−1+5-400−1−5−1+5−1−5−1+51+51−51+51−50000000022−2222−221+51−50000ζ42+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−ζ74ζ42+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−ζ74000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 80 (ζ80 = 1); i = ζ20.