Finite Group Databasebeta

← Group #12253877

Character table — Group #12253877

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size1111222222222222222222444444444444444444444444444444888888888888888888881010101010101010161616161616161616161616161616161616161620202020202020202020202080808080
order124422244455888810102020202088101010101010161616161616161620202020202040404040404040404040404080808080808080808080808080808080161616161616161624881010101020202020404040404040404022448888161616162488
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ6111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111
χ7111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111
χ8111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1
χ911-1-11-1-1-11111-1-11111-1-1-1-11-111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11-11-11111-1-1-1-11111-1-1-1-11-11-111-1-111-1-11-11-1
χ1011-1-11-1-1-11111-1-11111-1-1-1-11-111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-11-11-1-1-1-11111-1-1-1-111111-11-111-1-111-1-1-11-11
χ1111-1-11-1-1-11111-1-11111-1-1-1-11-111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111-11-11111-1-1-1-11111-1-1-1-1-11-11-1-111-1-111-11-11
χ1211-1-11-1-1-11111-1-11111-1-1-1-11-111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-11-11-1-1-1-11111-1-1-1-11111-11-11-1-111-1-1111-11-1
χ1311-1-11-1-1-11111-1-11111-1-1-1-11-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11-1-111111-1-1-1-1-1-1-1-11111-11-11-1-11111-1-11-1-11
χ1411-1-11-1-1-11111-1-11111-1-1-1-11-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-111-1-1-1-1-111111111-1-1-1-1-11-11-1-11111-1-1-111-1
χ1511-1-11-1-1-11111-1-11111-1-1-1-11-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111-1-111111-1-1-1-1-1-1-1-111111-11-111-1-1-1-111-111-1
χ1611-1-11-1-1-11111-1-11111-1-1-1-11-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-111-1-1-1-1-111111111-1-1-1-11-11-111-1-1-1-1111-1-11
χ17222222222222-2-2-2-2222222-2-222222200000000222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000002222-2-2-2-200000000
χ18222222222222-2-2-2-2222222-2-222222200000000222222-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000-2-2-2-2222200000000
χ192222222222−1+52−1−522222−1+52−1−52−1+52−1+52−1−52−1−5222−1+52−1−52−1+52−1+52−1−52−1−5222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000002222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000
χ202222222222−1+52−1−522222−1+52−1−52−1+52−1+52−1−52−1−5222−1+52−1−52−1+52−1+52−1−52−1−5222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200000000-2-2-2-21−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+520000000000000000
χ212222222222−1+52−1−522222−1+52−1−52−1+52−1+52−1−52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-2-2-2-2−1+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+52−1−52−1+52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+520000000022-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+520000000000000000
χ222222222222−1+52−1−522222−1+52−1−52−1+52−1+52−1−52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-2-2-2-2−1+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+52−1−52−1+52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+5200000000-2-2221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000
χ232222222222−1−52−1+522222−1−52−1+52−1−52−1−52−1+52−1+5222−1−52−1+52−1−52−1−52−1+52−1+5222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000000002222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000
χ242222222222−1−52−1+522222−1−52−1+52−1−52−1−52−1+52−1+5222−1−52−1+52−1−52−1−52−1+52−1+5222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200000000-2-2-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−520000000000000000
χ252222222222−1−52−1+522222−1−52−1+52−1−52−1−52−1+52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-2-2-2-2-2−1−52−1+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+52−1−52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−520000000022-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−520000000000000000
χ262222222222−1−52−1+522222−1−52−1+52−1−52−1−52−1+52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-2-2-2-2-2−1−52−1+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+52−1−52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−5200000000-2-2221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000
χ2722222-2-22-2-22200002222220022-2-2-2-2i2i2−i2−i2i2i2−i2−i222-2-2-2-2000000000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i222−2−222−2−20000000000000000000000002i−2i2i−2i2−22−20000
χ2822222-2-22-2-22200002222220022-2-2-2-2i2i2−i2−i2i2i2−i2−i222-2-2-2-2000000000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2−2−222−2−222000000000000000000000000−2i2i−2i2i−22−220000
χ2922222-2-22-2-22200002222220022-2-2-2-2−i2−i2i2i2−i2−i2i2i222-2-2-2-2000000000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i222−2−222−2−2000000000000000000000000−2i2i−2i2i2−22−20000
χ3022222-2-22-2-22200002222220022-2-2-2-2−i2−i2i2i2−i2−i2i2i222-2-2-2-2000000000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−2−222−2−2220000000000000000000000002i−2i2i−2i−22−220000
χ312222-22-2-22-2222222222222-2-2-2-22-22-200000000-2-222-2-222222222-2-2-2-20000000000000000222222220000000000000000000000000000-2-2-2-20000
χ322222-22-2-22-2222222222222-2-2-2-22-22-200000000-2-222-2-222222222-2-2-2-20000000000000000-2-2-2-2-2-2-2-2000000000000000000000000000022220000
χ332222-22-2-22-222-2-2-2-222222222-2-22-22-22i−2i2i−2i2i−2i2i−2i-2-222-2-2-2-2-2-2-2-2-2-222222i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i00000000000000000000000000000000000000000000
χ342222-22-2-22-222-2-2-2-222222222-2-22-22-2−2i2i−2i2i−2i2i−2i2i-2-222-2-2-2-2-2-2-2-2-2-22222−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i00000000000000000000000000000000000000000000
χ352222-22-2-22-2−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52221−521+52−1+521−52−1−521+522i−2i2i−2i2i−2i2i−2i1−521+52−1+52−1−521−521+521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−52−ζ44−ζ76ζ44+ζ76−ζ44−ζ76ζ44+ζ76−ζ12−ζ28ζ12+ζ28−ζ12−ζ28ζ12+ζ28−ζ44−ζ76ζ44+ζ76−ζ44−ζ76ζ44+ζ76−ζ12−ζ28ζ12+ζ28−ζ12−ζ28ζ12+ζ28000000000000ζ24−ζ56−ζ24+ζ56−ζ8+ζ72ζ8−ζ72ζ24−ζ56−ζ24+ζ56−ζ8+ζ72ζ8−ζ72−ζ44+ζ76ζ44−ζ76ζ12−ζ28−ζ12+ζ28−ζ44+ζ76ζ44−ζ76ζ12−ζ28−ζ12+ζ280000000000000000
χ362222-22-2-22-2−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52221−521+52−1+521−52−1−521+522i−2i2i−2i2i−2i2i−2i1−521+52−1+52−1−521−521+521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−52−ζ44−ζ76ζ44+ζ76−ζ44−ζ76ζ44+ζ76−ζ12−ζ28ζ12+ζ28−ζ12−ζ28ζ12+ζ28−ζ44−ζ76ζ44+ζ76−ζ44−ζ76ζ44+ζ76−ζ12−ζ28ζ12+ζ28−ζ12−ζ28ζ12+ζ28000000000000−ζ24+ζ56ζ24−ζ56ζ8−ζ72−ζ8+ζ72−ζ24+ζ56ζ24−ζ56ζ8−ζ72−ζ8+ζ72ζ44−ζ76−ζ44+ζ76−ζ12+ζ28ζ12−ζ28ζ44−ζ76−ζ44+ζ76−ζ12+ζ28ζ12−ζ280000000000000000
χ372222-22-2-22-2−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52221−521+52−1+521−52−1−521+52−2i2i−2i2i−2i2i−2i2i1−521+52−1+52−1−521−521+521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−52ζ44+ζ76−ζ44−ζ76ζ44+ζ76−ζ44−ζ76ζ12+ζ28−ζ12−ζ28ζ12+ζ28−ζ12−ζ28ζ44+ζ76−ζ44−ζ76ζ44+ζ76−ζ44−ζ76ζ12+ζ28−ζ12−ζ28ζ12+ζ28−ζ12−ζ28000000000000ζ24−ζ56−ζ24+ζ56−ζ8+ζ72ζ8−ζ72ζ24−ζ56−ζ24+ζ56−ζ8+ζ72ζ8−ζ72ζ44−ζ76−ζ44+ζ76−ζ12+ζ28ζ12−ζ28ζ44−ζ76−ζ44+ζ76−ζ12+ζ28ζ12−ζ280000000000000000
χ382222-22-2-22-2−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52221−521+52−1+521−52−1−521+52−2i2i−2i2i−2i2i−2i2i1−521+52−1+52−1−521−521+521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−52ζ44+ζ76−ζ44−ζ76ζ44+ζ76−ζ44−ζ76ζ12+ζ28−ζ12−ζ28ζ12+ζ28−ζ12−ζ28ζ44+ζ76−ζ44−ζ76ζ44+ζ76−ζ44−ζ76ζ12+ζ28−ζ12−ζ28ζ12+ζ28−ζ12−ζ28000000000000−ζ24+ζ56ζ24−ζ56ζ8−ζ72−ζ8+ζ72−ζ24+ζ56ζ24−ζ56ζ8−ζ72−ζ8+ζ72−ζ44+ζ76ζ44−ζ76ζ12−ζ28−ζ12+ζ28−ζ44+ζ76ζ44−ζ76ζ12−ζ28−ζ12+ζ280000000000000000
χ392222-22-2-22-2−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52221+521−52−1−521+52−1+521−522i−2i2i−2i2i−2i2i−2i1+521−52−1−52−1+521+521−521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+52−ζ12−ζ28ζ12+ζ28−ζ12−ζ28ζ12+ζ28−ζ44−ζ76ζ44+ζ76−ζ44−ζ76ζ44+ζ76−ζ12−ζ28ζ12+ζ28−ζ12−ζ28ζ12+ζ28−ζ44−ζ76ζ44+ζ76−ζ44−ζ76ζ44+ζ76000000000000−ζ8+ζ72ζ8−ζ72−ζ24+ζ56ζ24−ζ56−ζ8+ζ72ζ8−ζ72−ζ24+ζ56ζ24−ζ56−ζ12+ζ28ζ12−ζ28−ζ44+ζ76ζ44−ζ76−ζ12+ζ28ζ12−ζ28−ζ44+ζ76ζ44−ζ760000000000000000
χ402222-22-2-22-2−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52221+521−52−1−521+52−1+521−522i−2i2i−2i2i−2i2i−2i1+521−52−1−52−1+521+521−521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+52−ζ12−ζ28ζ12+ζ28−ζ12−ζ28ζ12+ζ28−ζ44−ζ76ζ44+ζ76−ζ44−ζ76ζ44+ζ76−ζ12−ζ28ζ12+ζ28−ζ12−ζ28ζ12+ζ28−ζ44−ζ76ζ44+ζ76−ζ44−ζ76ζ44+ζ76000000000000ζ8−ζ72−ζ8+ζ72ζ24−ζ56−ζ24+ζ56ζ8−ζ72−ζ8+ζ72ζ24−ζ56−ζ24+ζ56ζ12−ζ28−ζ12+ζ28ζ44−ζ76−ζ44+ζ76ζ12−ζ28−ζ12+ζ28ζ44−ζ76−ζ44+ζ760000000000000000
χ412222-22-2-22-2−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52221+521−52−1−521+52−1+521−52−2i2i−2i2i−2i2i−2i2i1+521−52−1−52−1+521+521−521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+52ζ12+ζ28−ζ12−ζ28ζ12+ζ28−ζ12−ζ28ζ44+ζ76−ζ44−ζ76ζ44+ζ76−ζ44−ζ76ζ12+ζ28−ζ12−ζ28ζ12+ζ28−ζ12−ζ28ζ44+ζ76−ζ44−ζ76ζ44+ζ76−ζ44−ζ76000000000000−ζ8+ζ72ζ8−ζ72−ζ24+ζ56ζ24−ζ56−ζ8+ζ72ζ8−ζ72−ζ24+ζ56ζ24−ζ56ζ12−ζ28−ζ12+ζ28ζ44−ζ76−ζ44+ζ76ζ12−ζ28−ζ12+ζ28ζ44−ζ76−ζ44+ζ760000000000000000
χ422222-22-2-22-2−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52221+521−52−1−521+52−1+521−52−2i2i−2i2i−2i2i−2i2i1+521−52−1−52−1+521+521−521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+52ζ12+ζ28−ζ12−ζ28ζ12+ζ28−ζ12−ζ28ζ44+ζ76−ζ44−ζ76ζ44+ζ76−ζ44−ζ76ζ12+ζ28−ζ12−ζ28ζ12+ζ28−ζ12−ζ28ζ44+ζ76−ζ44−ζ76ζ44+ζ76−ζ44−ζ76000000000000ζ8−ζ72−ζ8+ζ72ζ24−ζ56−ζ24+ζ56ζ8−ζ72−ζ8+ζ72ζ24−ζ56−ζ24+ζ56−ζ12+ζ28ζ12−ζ28−ζ44+ζ76ζ44−ζ76−ζ12+ζ28ζ12−ζ28−ζ44+ζ76ζ44−ζ760000000000000000
χ432222-2-22-2-2222000022222200-2-2-22-222−2−222−2−22-2-2-2-2220000000000002−2−222−2−222−2−222−2−2222−2−222−2−2000000000000000000002-2-220000−22−220000
χ442222-2-22-2-2222000022222200-2-2-22-222−2−222−2−22-2-2-2-2220000000000002−2−222−2−222−2−222−2−22−2−222−2−22200000000000000000000-222-200002−22−20000
χ452222-2-22-2-2222000022222200-2-2-22-22−222−2−222−2-2-2-2-222000000000000−222−2−222−2−222−2−222−222−2−222−2−200000000000000000000-222-20000−22−220000
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χ1168-8−8i8i000000−2−25−2+25−4i24i242−422+252−254ζ12+4ζ28−4ζ12−4ζ284ζ44+4ζ76−4ζ44−4ζ760000000000000000000000−2ζ42−2ζ58−2ζ62−2ζ782ζ42+2ζ58+2ζ62+2ζ78−2ζ14−2ζ26−2ζ46−2ζ742ζ14+2ζ26+2ζ46+2ζ742ζ42+2ζ58−2ζ62−2ζ78−2ζ42−2ζ58+2ζ62+2ζ78−2ζ14+2ζ26−2ζ46+2ζ742ζ14−2ζ26+2ζ46−2ζ740000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 80 (ζ80 = 1); i = ζ20.