Finite Group Databasebeta

← Group #11989636

Character table — Group #11989636

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size111122222222222222444444444444444455558888888888888888888810101010101016161616161616161616161616161616161616161616161620202020404040404040404040404040
order1222224444551010101010102244101010102020202020202020444444448888888810101010202020204444442020202020202020404040404040404040404040404040404444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ71111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1
χ9111111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1111111-1-1ii−i−iii−i−i1111-1-1-1-111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-111-1-1ii−i−iii−i−i
χ10111111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1111111-1-1−i−iii−i−iii1111-1-1-1-111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-1−i−iii−i−iii
χ11111111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-11111-1-111ii−i−i−i−iii1111-1-1-1-111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii11-1-1-1-111ii−i−i−i−iii
χ12111111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-11111-1-111−i−iiiii−i−i1111-1-1-1-111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-111−i−iiiii−i−i
χ13111111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1ii−i−iii−i−i1111-1-1-1-1-1-111111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111-1-111−i−iii−i−iii
χ14111111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1−i−iii−i−iii1111-1-1-1-1-1-111111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111-1-111ii−i−iii−i−i
χ15111111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111ii−i−i−i−iii1111-1-1-1-1-1-11111-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-11111-1-1−i−iiiii−i−i
χ16111111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111−i−iiiii−i−i1111-1-1-1-1-1-11111-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-1ii−i−i−i−iii
χ171111-1-111-1-1111111111-11-1-1-1-1-11111-1-1-1-11111i−ii−i1-11-1i−ii−i11-1-111-1-1-1-111-1-1ii−i−iii−i−i11-1-111-1-1ii−i−iii−i−i1-11-1i−ii−i1-11-1i−ii−i
χ181111-1-111-1-1111111111-11-1-1-1-1-11111-1-1-1-11111i−ii−i-11-11−ii−ii11-1-111-1-1-1-111-1-1ii−i−iii−i−i-1-111-1-111−i−iii−i−iii1-11-1i−ii−i-11-11−ii−ii
χ191111-1-111-1-1111111111-11-1-1-1-1-11111-1-1-1-11111−ii−ii1-11-1−ii−ii11-1-111-1-1-1-111-1-1−i−iii−i−iii11-1-111-1-1−i−iii−i−iii1-11-1−ii−ii1-11-1−ii−ii
χ201111-1-111-1-1111111111-11-1-1-1-1-11111-1-1-1-11111−ii−ii-11-11i−ii−i11-1-111-1-1-1-111-1-1−i−iii−i−iii-1-111-1-111ii−i−iii−i−i1-11-1−ii−ii-11-11i−ii−i
χ211111-1-111-1-1111111111-11-1-1-1-1-11111-1-1-1-1-1-1-1-1i−ii−i1-11-1i−ii−i11-1-111-1-111-1-111ii−i−iii−i−i11-1-111-1-1ii−i−iii−i−i-11-11−ii−ii-11-11−ii−ii
χ221111-1-111-1-1111111111-11-1-1-1-1-11111-1-1-1-1-1-1-1-1i−ii−i-11-11−ii−ii11-1-111-1-111-1-111ii−i−iii−i−i-1-111-1-111−i−iii−i−iii-11-11−ii−ii1-11-1i−ii−i
χ231111-1-111-1-1111111111-11-1-1-1-1-11111-1-1-1-1-1-1-1-1−ii−ii1-11-1−ii−ii11-1-111-1-111-1-111−i−iii−i−iii11-1-111-1-1−i−iii−i−iii-11-11i−ii−i-11-11i−ii−i
χ241111-1-111-1-1111111111-11-1-1-1-1-11111-1-1-1-1-1-1-1-1−ii−ii-11-11i−ii−i11-1-111-1-111-1-111−i−iii−i−iii-1-111-1-111ii−i−iii−i−i-11-11i−ii−i1-11-1−ii−ii
χ251111-1-1-1-111111111111-1-11-1-1-1-1-1-1-1-111111111i−i−iii−i−ii-111-111-1-1-1-111-1-1-1-111ii−i−i−i−iiiii−i−i−i−iii-1-11111-1-11-1-11i−i−iii−i−ii-111-1
χ261111-1-1-1-111111111111-1-11-1-1-1-1-1-1-1-111111111i−i−ii−iii−i1-1-1111-1-1-1-111-1-1-1-111ii−i−i−i−iii−i−iiiii−i−i11-1-1-1-1111-1-11i−i−ii−iii−i1-1-11
χ271111-1-1-1-111111111111-1-11-1-1-1-1-1-1-1-111111111−iii−ii−i−ii1-1-1111-1-1-1-111-1-1-1-111−i−iiiii−i−iii−i−i−i−iii11-1-1-1-1111-1-11−iii−ii−i−ii1-1-11
χ281111-1-1-1-111111111111-1-11-1-1-1-1-1-1-1-111111111−iii−i−iii−i-111-111-1-1-1-111-1-1-1-111−i−iiiii−i−i−i−iiiii−i−i-1-11111-1-11-1-11−iii−i−iii−i-111-1
χ291111-1-1-1-111111111111-1-11-1-1-1-1-1-1-1-11111-1-1-1-1i−i−iii−i−ii-111-111-1-1-1-1111111-1-1ii−i−i−i−iiiii−i−i−i−iii-1-11111-1-1-111-1−iii−i−iii−i1-1-11
χ301111-1-1-1-111111111111-1-11-1-1-1-1-1-1-1-11111-1-1-1-1i−i−ii−iii−i1-1-1111-1-1-1-1111111-1-1ii−i−i−i−iii−i−iiiii−i−i11-1-1-1-111-111-1−iii−ii−i−ii-111-1
χ311111-1-1-1-111111111111-1-11-1-1-1-1-1-1-1-11111-1-1-1-1−iii−ii−i−ii1-1-1111-1-1-1-1111111-1-1−i−iiiii−i−iii−i−i−i−iii11-1-1-1-111-111-1i−i−ii−iii−i-111-1
χ321111-1-1-1-111111111111-1-11-1-1-1-1-1-1-1-11111-1-1-1-1−iii−i−iii−i-111-111-1-1-1-1111111-1-1−i−iiiii−i−i−i−iiiii−i−i-1-11111-1-1-111-1i−i−iii−i−ii1-1-11
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+52−1−52−1−520000222222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000000000000000
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+52−1−52−1−5200002222-2-2-2-2-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000−1+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+520000000000000000
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+52−1−52−1−520000-2-2-2-22222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000001−521+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+520000000000000000
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+52−1−52−1−520000-2-2-2-2-2-2-2-22222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000001−521+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+52−1−520000000000000000
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+520000222222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+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
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+5200002222-2-2-2-2-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000−1−52−1+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+521−520000000000000000
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+520000-2-2-2-22222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000001+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+521−520000000000000000
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+520000-2-2-2-2-2-2-2-22222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000001+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+520000000000000000
χ4122222222-2-222222222-2-2-2222222222-2-2-2-22222000000000000-2-2-2-2-2-2222222-2-2000000000000000000000000-2-2-22000000000000
χ4222222222-2-222222222-2-2-2222222222-2-2-2-2-2-2-2-2000000000000-2-2-2-2-2-222-2-2-2-222000000000000000000000000222-2000000000000
χ43222222-2-22222222222-2-22-22222-2-2-2-222222222000000000000-2-2-2-222-2-222-2-222000000000000000000000000-2-22-2000000000000
χ44222222-2-22222222222-2-22-22222-2-2-2-22222-2-2-2-2000000000000-2-2-2-222-2-2-2-222-2-200000000000000000000000022-22000000000000
χ45222222-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-2-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52000022-2-22i2i−2i−2i2i2i−2i−2i−1+52−1−52−1+52−1−521−521+521−521+52000000−1+52−1−52−1+52−1−521−521+521−521+52−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ70000000000000000
χ46222222-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-2-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52000022-2-2−2i−2i2i2i−2i−2i2i2i−1+52−1−52−1+52−1−521−521+521−521+52000000−1+52−1−52−1+52−1−521−521+521−521+52ζ11+ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ70000000000000000
χ47222222-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-2-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+520000-2-2222i2i−2i−2i−2i−2i2i2i−1+52−1−52−1+52−1−521−521+521−521+520000001−521+521−521+52−1+52−1−52−1+52−1−52−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ70000000000000000
χ48222222-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-2-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+520000-2-222−2i−2i2i2i2i2i−2i−2i−1+52−1−52−1+52−1−521−521+521−521+520000001−521+521−521+52−1+52−1−52−1+52−1−52ζ11+ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ70000000000000000
χ49222222-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222-2-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52000022-2-22i2i−2i−2i2i2i−2i−2i−1−52−1+52−1−52−1+521+521−521+521−52000000−1−52−1+52−1−52−1+521+521−521+521−52−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ190000000000000000
χ50222222-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222-2-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52000022-2-2−2i−2i2i2i−2i−2i2i2i−1−52−1+52−1−52−1+521+521−521+521−52000000−1−52−1+52−1−52−1+521+521−521+521−52ζ3+ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ190000000000000000
χ51222222-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222-2-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−520000-2-2222i2i−2i−2i−2i−2i2i2i−1−52−1+52−1−52−1+521+521−521+521−520000001+521−521+521−52−1−52−1+52−1−52−1+52−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ190000000000000000
χ52222222-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222-2-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−520000-2-222−2i−2i2i2i2i2i−2i−2i−1−52−1+52−1−52−1+521+521−521+521−520000001+521−521+521−52−1−52−1+52−1−52−1+52ζ3+ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19−ζ3−ζ7−ζ11−ζ19ζ3+ζ7ζ11+ζ19ζ3+ζ7ζ11+ζ190000000000000000
χ532222-2-2222222222222-22-2-2-2-2-2-2222222222222000000000000-2-222-2-2-2-2-2-22222000000000000000000000000-22-2-2000000000000
χ542222-2-2222222222222-22-2-2-2-2-2-222222222-2-2-2-2000000000000-2-222-2-2-2-222-2-2-2-20000000000000000000000002-222000000000000
χ552222-2-222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-22-21−521+521−521+52−1+52−1+52−1−52−1−521−521−521+521+5200002i−2i2i−2i2-22-22i−2i2i−2i−1+52−1−521−521+52−1+52−1−521−521+52000000−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ7−1+52−1−521−521+52−1+52−1−521−521+52−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ70000000000000000
χ562222-2-222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-22-21−521+521−521+52−1+52−1+52−1−52−1−521−521−521+521+5200002i−2i2i−2i-22-22−2i2i−2i2i−1+52−1−521−521+52−1+52−1−521−521+52000000−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ71−521+52−1+52−1−521−521+52−1+52−1−52ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ7ζ11+ζ19ζ3+ζ7−ζ11−ζ19−ζ3−ζ70000000000000000
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χ7344444444-4-4−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−5-4-4-44−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−51−51−51+51+500000000000000001−51+51−51+51−51+5−1+5−1−50000000000000000000000000000000000000000000000
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χ988-88-8008i−8i00−2−25−2+25−2−252+25−2+252−252+252−2500000000−4ζ3−4ζ74ζ3+4ζ7−4ζ11−4ζ194ζ11+4ζ1900000000000000000000000000000000000000000000000000000000000000000000000000
χ998-88-800−8i8i00−2+25−2−25−2+252−25−2−252+252−252+25000000004ζ11+4ζ19−4ζ11−4ζ194ζ3+4ζ7−4ζ3−4ζ700000000000000000000000000000000000000000000000000000000000000000000000000
χ1008-88-800−8i8i00−2−25−2+25−2−252+25−2+252−252+252−25000000004ζ3+4ζ7−4ζ3−4ζ74ζ11+4ζ19−4ζ11−4ζ1900000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-888-80000−2+25−2−252−25−2+252+25−2−252−252+250000−2+25−2−252−252+25000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1028-8-888-80000−2−25−2+252+25−2−252−25−2+252+252−250000−2−25−2+252+252−25000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1038-8-88-880000−2+25−2−252−25−2+252+25−2−252−252+2500002−252+25−2+25−2−25000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1048-8-88-880000−2−25−2+252+25−2−252−25−2+252+252−2500002+252−25−2−25−2+25000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.