Finite Group Databasebeta

← Group #12068246

Character table — Group #12068246

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size1111222222222222224444444444444444888888888888888888881010101016161616161616161616161616161616161616161616161620202020202020202020202020204040404040404040
order1222444444551010101010102444202020202020202020202020444488888888101020202020202022442020202020202020404040404040404040404040404040402444448888888844448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ51111111111111111111111111111111111-1-1-1-111-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-111
χ61111111111111111111111111111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ71111111111111111111111111111111111-1-1-1-1-1-11111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111-1-1
χ81111111111111111111111111111111111-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111-1-111
χ9111111-1-1-1-111111111-111-11111-1-1-1-1-1-1-1-11-11-1i−iii−i−ii−i-1-11111-1-111111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-11-11-1ii−i−iii−i−i1-11-1i−ii−i
χ10111111-1-1-1-111111111-111-11111-1-1-1-1-1-1-1-11-11-1i−iii−i−ii−i-1-11111-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-11-11−i−iii−i−iii-11-11−ii−ii
χ11111111-1-1-1-111111111-111-11111-1-1-1-1-1-1-1-11-11-1−ii−i−iii−ii-1-11111-1-111111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-11-11-1−i−iii−i−iii1-11-1−ii−ii
χ12111111-1-1-1-111111111-111-11111-1-1-1-1-1-1-1-11-11-1−ii−i−iii−ii-1-11111-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-11-11ii−i−iii−i−i-11-11i−ii−i
χ13111111-1-1-1-111111111-111-11111-1-1-1-1-1-1-1-1-11-11i−i−i−iiii−i-1-11111-1-11111-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-11-11-1−i−iiiii−i−i-11-11−iii−i
χ14111111-1-1-1-111111111-111-11111-1-1-1-1-1-1-1-1-11-11i−i−i−iiii−i-1-11111-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii11-11-11ii−i−i−i−iii1-11-1i−i−ii
χ15111111-1-1-1-111111111-111-11111-1-1-1-1-1-1-1-1-11-11−iiii−i−i−ii-1-11111-1-11111-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-11-11-1ii−i−i−i−iii-11-11i−i−ii
χ16111111-1-1-1-111111111-111-11111-1-1-1-1-1-1-1-1-11-11−iiii−i−i−ii-1-11111-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i11-11-11−i−iiiii−i−i1-11-1−iii−i
χ171111-1-1111111111111-1-11-1-1-1-1-11111111111-1-1111-11-1-1-1-1-111-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-1-11-111-11111-1-1-1-111-1-1-1-111
χ181111-1-1111111111111-1-11-1-1-1-1-11111111111-1-1111-11-1-1-1-1-111-1-1-1-1-1-11111-1-111-1-111-1-111-1-111-1-111-1-11-11-1-11-1-1-1-11111-1-11111-1-1
χ191111-1-1111111111111-1-11-1-1-1-1-11111111111-1-1-1-1-11-1111-1-111-1-1-1-111-1-111-1-111-1-1-1-111-1-111-1-111-1-111-11-111-1-1-1-1-1111111-1-111-1-1
χ201111-1-1111111111111-1-11-1-1-1-1-11111111111-1-1-1-1-11-1111-1-111-1-1-1-1-1-11111-1-111-1-1-1-111-1-111-1-111-1-1111-11-1-111111-1-1-1-1-1-111-1-111
χ211111-1-1111111111111-1-11-1-1-1-1-111111111-1-11111-11-11-1-1-1-111-1-1-1-111-1-1-1-111-1-11111-1-111-1-1-1-111-1-111-11-111-1-1-1-1-1-1-1-1-1-1-1111111
χ221111-1-1111111111111-1-11-1-1-1-1-111111111-1-11111-11-11-1-1-1-111-1-1-1-1-1-111-1-111-1-11111-1-111-1-1-1-111-1-1111-11-1-111111111111-1-1-1-1-1-1
χ231111-1-1111111111111-1-11-1-1-1-1-111111111-1-111-1-11-11-111-1-111-1-1-1-111-1-1-1-111-1-111-1-111-1-11111-1-111-1-1-11-111-111111111-1-111-1-1-1-1
χ241111-1-1111111111111-1-11-1-1-1-1-111111111-1-111-1-11-11-111-1-111-1-1-1-1-1-111-1-111-1-111-1-111-1-11111-1-111-1-11-11-1-11-1-1-1-1-1-1-1-111-1-11111
χ251111-1-1-1-1-1-1111111111-111-1-1-1-1-1-1-1-1-1-1-1-11-1-11i−ii−i−ii−ii1111-1-11111-1-111-1-1-1-111ii−i−i−i−iiiii−i−i−i−iii1-1-1-111ii−i−i−i−iii1-1-11−iii−i
χ261111-1-1-1-1-1-1111111111-111-1-1-1-1-1-1-1-1-1-1-1-11-1-11i−ii−i−ii−ii1111-1-111-1-11111-1-1-1-111ii−i−i−i−iiiii−i−i−i−iii-1111-1-1−i−iiiii−i−i-111-1i−i−ii
χ271111-1-1-1-1-1-1111111111-111-1-1-1-1-1-1-1-1-1-1-1-11-1-11−ii−iii−ii−i1111-1-11111-1-111-1-1-1-111−i−iiiii−i−i−i−iiiii−i−i1-1-1-111−i−iiiii−i−i1-1-11i−i−ii
χ281111-1-1-1-1-1-1111111111-111-1-1-1-1-1-1-1-1-1-1-1-11-1-11−ii−iii−ii−i1111-1-111-1-11111-1-1-1-111−i−iiiii−i−i−i−iiiii−i−i-1111-1-1ii−i−i−i−iii-111-1−iii−i
χ291111-1-1-1-1-1-1111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1i−i−iii−i−ii1111-1-11111-1-1-1-11111-1-1ii−i−i−i−iii−i−iiiii−i−i1-1-1-111−i−iii−i−iii-111-1i−ii−i
χ301111-1-1-1-1-1-1111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1i−i−iii−i−ii1111-1-111-1-111-1-11111-1-1ii−i−i−i−iii−i−iiiii−i−i-1111-1-1ii−i−iii−i−i1-1-11−ii−ii
χ311111-1-1-1-1-1-1111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1−iii−i−iii−i1111-1-11111-1-1-1-11111-1-1−i−iiiii−i−iii−i−i−i−iii1-1-1-111ii−i−iii−i−i-111-1−ii−ii
χ321111-1-1-1-1-1-1111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1−iii−i−iii−i1111-1-111-1-111-1-11111-1-1−i−iiiii−i−iii−i−i−i−iii-1111-1-1−i−iii−i−iii1-1-11i−ii−i
χ332222222222−1+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+52−1−52222222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000000000000000000000
χ342222222222−1+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+52−1−522222-2-2-2-2-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000−1+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+520000000000000000000000
χ352222222222−1+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+52−1−52-2-2-2-222-2-2-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5200001−521+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+521−521+521−521+520000000000000000000000
χ362222222222−1+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+52−1−52-2-2-2-2-2-22222-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5200001−521+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+52−1−520000000000000000000000
χ372222222222−1−52−1+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+52222222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000000000000000000000
χ382222222222−1−52−1+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+522222-2-2-2-2-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000−1−52−1+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+521−520000000000000000000000
χ392222222222−1−52−1+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+52-2-2-2-222-2-2-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5200001+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−520000000000000000000000
χ402222222222−1−52−1+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+52-2-2-2-2-2-22222-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5200001+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+520000000000000000000000
χ412222222-2-22222222222-2-2-22222-2-22222-2-200000000000022-2-2-2-2-2-22222000000000000000000000000-2-2-22-220000000000000000
χ422222222-2-22222222222-2-2-22222-2-22222-2-200000000000022-2-2-2-2-2-2-2-2-2-2000000000000000000000000222-22-20000000000000000
χ43222222-222-222222222-2-2-22222222-2-2-2-222000000000000-2-2-2-2-2-222222200000000000000000000000022-2-2-2-20000000000000000
χ44222222-222-222222222-2-2-22222222-2-2-2-222000000000000-2-2-2-2-2-222-2-2-2-2000000000000000000000000-2-222220000000000000000
χ45222222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-222-2−1+52−1+52−1−52−1−521−521+521−521−521+521+521−521+522-22-22i−2i2i2i−2i−2i2i−2i1−521+52−1+52−1−52−1+52−1−521−521+520000−1+52−1−52−1+52−1−521−521+521−521+52−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ140000000000000000000000
χ46222222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-222-2−1+52−1+52−1−52−1−521−521+521−521−521+521+521−521+522-22-2−2i2i−2i−2i2i2i−2i2i1−521+52−1+52−1−52−1+52−1−521−521+520000−1+52−1−52−1+52−1−521−521+521−521+52ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ140000000000000000000000
χ47222222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-222-2−1+52−1+52−1−52−1−521−521+521−521−521+521+521−521+52-22-222i−2i−2i−2i2i2i2i−2i1−521+52−1+52−1−52−1+52−1−521−521+5200001−521+521−521+52−1+52−1−52−1+52−1−52−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ140000000000000000000000
χ48222222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-222-2−1+52−1+52−1−52−1−521−521+521−521−521+521+521−521+52-22-22−2i2i2i2i−2i−2i−2i2i1−521+52−1+52−1−52−1+52−1−521−521+5200001−521+521−521+52−1+52−1−52−1+52−1−52ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ140000000000000000000000
χ49222222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-222-2−1−52−1−52−1+52−1+521+521−521+521+521−521−521+521−522-22-22i−2i2i2i−2i−2i2i−2i1+521−52−1−52−1+52−1−52−1+521+521−520000−1−52−1+52−1−52−1+521+521−521+521−52−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ380000000000000000000000
χ50222222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-222-2−1−52−1−52−1+52−1+521+521−521+521+521−521−521+521−522-22-2−2i2i−2i−2i2i2i−2i2i1+521−52−1−52−1+52−1−52−1+521+521−520000−1−52−1+52−1−52−1+521+521−521+521−52ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ380000000000000000000000
χ51222222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-222-2−1−52−1−52−1+52−1+521+521−521+521+521−521−521+521−52-22-222i−2i−2i−2i2i2i2i−2i1+521−52−1−52−1+52−1−52−1+521+521−5200001+521−521+521−52−1−52−1+52−1−52−1+52−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ380000000000000000000000
χ52222222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-222-2−1−52−1−52−1+52−1+521+521−521+521+521−521−521+521−52-22-22−2i2i2i2i−2i−2i−2i2i1+521−52−1−52−1+52−1−52−1+521+521−5200001+521−521+521−52−1−52−1+52−1−52−1+52ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ380000000000000000000000
χ532222-2-22222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-22-21−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-2-2222-22-2-2-21−521+52−1+52−1−521−521+521−521+520000−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−521−521+520000000000000000000000
χ542222-2-22222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-22-21−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-2-2-2-2-22-22221−521+52−1+52−1−521−521+521−521+520000−1+52−1−521−521+52−1+52−1−521−521+521−521+52−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1−520000000000000000000000
χ552222-2-22222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-22-21−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-22222-22-22-2-21−521+52−1+52−1−521−521+521−521+5200001−521+52−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521+52−1+52−1−521−521+521−521+52−1+52−1−521−521+52−1+52−1−520000000000000000000000
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χ1038-8-88−8i8i0000−2+25−2−252−252+252−25−2+252+25−2−2500004ζ22+4ζ38−4ζ22−4ζ384ζ6+4ζ14−4ζ6−4ζ14000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1048-8-88−8i8i0000−2−25−2+252+252−252+25−2−252−25−2+2500004ζ6+4ζ14−4ζ6−4ζ144ζ22+4ζ38−4ζ22−4ζ38000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.