Finite Group Databasebeta

← Group #11987094

Character table — Group #11987094

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size1111222222222222222222444444444488888888888888888888888888888888881616161616161616161616161616161616168080808080808080
order1222225510101010101010101010101010104420202020202020204444448888202020202020202040404040404040404040404040404040442020202020202020202020202020202088888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ511111111111111111111111111111111-1-111-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iii−i−i
χ611111111111111111111111111111111-1-111-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−iii
χ711111111111111111111111111111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1ii−i−i−i−iii
χ811111111111111111111111111111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1−i−iiiii−i−i
χ91-1-111-111-1-1-1-11111-1-1-1-1111-11111-1-1-1-11-11-11-1ii−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−ii−iiiii−i−i−i−i1111-1-1-1-11-11-1i−ii−i
χ101-1-111-111-1-1-1-11111-1-1-1-1111-11111-1-1-1-11-11-11-1ii−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−ii−iiiii−i−i−i−i1111-1-1-1-1-11-11−ii−ii
χ111-1-111-111-1-1-1-11111-1-1-1-1111-11111-1-1-1-11-11-11-1−i−iii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−ii−i−i−i−iiiii1111-1-1-1-11-11-1−ii−ii
χ121-1-111-111-1-1-1-11111-1-1-1-1111-11111-1-1-1-11-11-11-1−i−iii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−ii−i−i−i−iiiii1111-1-1-1-1-11-11i−ii−i
χ131-1-111-111-1-1-1-11111-1-1-1-1111-11111-1-1-1-1-111-1-11ii−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−ii−i−i−i−iiiii-1-1-1-11111i−i−ii-111-1
χ141-1-111-111-1-1-1-11111-1-1-1-1111-11111-1-1-1-1-111-1-11ii−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−ii−i−i−i−iiiii-1-1-1-11111−iii−i1-1-11
χ151-1-111-111-1-1-1-11111-1-1-1-1111-11111-1-1-1-1-111-1-11−i−iii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiii−iiiii−i−i−i−i-1-1-1-11111i−i−ii1-1-11
χ161-1-111-111-1-1-1-11111-1-1-1-1111-11111-1-1-1-1-111-1-11−i−iii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiii−iiiii−i−i−i−i-1-1-1-11111−iii−i-111-1
χ17222222222222222222222222222222222-2-2-2-220000-2-2-2-2-2-2-2-20000000000000000000000000022-2-222-2-200000000
χ1822222222222222222222222222222222-22-2-22-20000-2-2-2-2-2-2-2-200000000000000000000000000-2-222-2-22200000000
χ19222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522222222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5200000000
χ20222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52222222-2-2-2-2−1+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+52-2-21−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5200000000
χ21222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522-2-2-2-2200001−521−521+521+521−521−521+521+52ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ18ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ1800ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18−1+52−1−521−521+52−1+52−1−521−521+5200000000
χ22222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522-2-2-2-2200001−521−521+521+521−521−521+521+52−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ18−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ1800−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−1+52−1−521−521+52−1+52−1−521−521+5200000000
χ23222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-22-2-22-200001−521−521+521+521−521−521+521+52ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ18ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ1800−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ181−521+52−1+52−1−521−521+52−1+52−1−5200000000
χ24222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-22-2-22-200001−521−521+521+521−521−521+521+52−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ18−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ1800ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ181−521+52−1+52−1−521−521+52−1+52−1−5200000000
χ25222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-222-2-22222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-21−521−521+521+521−521−521+521+521−521+521−521+521−521+521−521+5200000000
χ26222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-222-2-2-2-2-2-2−1+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+5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521+521−521+521−521+521−521+5200000000
χ27222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522222222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222−1−52−1−52−1+52−1+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
χ28222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52222222-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52-2-21+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5200000000
χ29222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522-2-2-2-2200001+521+521−521−521+521+521−521−52−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ18−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ18−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ1400−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−1−52−1+521+521−52−1−52−1+521+521−5200000000
χ30222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522-2-2-2-2200001+521+521−521−521+521+521−521−52ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ18ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ18ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ1400ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14−1−52−1+521+521−52−1−52−1+521+521−5200000000
χ31222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-22-2-22-200001+521+521−521−521+521+521−521−52−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ18−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14−ζ2+ζ18−ζ2+ζ18ζ2−ζ18ζ2−ζ18−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ1400ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ141+521−52−1−52−1+521+521−52−1−52−1+5200000000
χ32222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-22-2-22-200001+521+521−521−521+521+521−521−52ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ18ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14ζ2−ζ18ζ2−ζ18−ζ2+ζ18−ζ2+ζ18ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ1400−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ141+521−52−1−52−1+521+521−52−1−52−1+5200000000
χ33222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-222-2-22222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-21+521+521−521−521+521+521−521−521+521−521+521−521+521−521+521−5200000000
χ34222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-222-2-2-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521−521+521−521+521−521+521−5200000000
χ352-2-222-222-2-2-2-22222-2-2-2-2222-22222-2-2-2-222-22-2-20000-2-2-2-222220000000000000000000000000022-2-2-2-22200000000
χ362-2-222-222-2-2-2-22222-2-2-2-2222-22222-2-2-2-2-2-2-22220000-2-2-2-2222200000000000000000000000000-2-22222-2-200000000
χ372-2-222-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−522-2−1+52−1+52−1−52−1−521−521−521+521+5222-22-2-200001−521−521+521+52−1+52−1+52−1−52−1−52−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ19−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ7ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ19ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ700−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7−1+52−1−521−521+521−521+52−1+52−1−5200000000
χ382-2-222-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−522-2−1+52−1+52−1−52−1−521−521−521+521+5222-22-2-200001−521−521+521+52−1+52−1+52−1−52−1−52ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ19ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ7−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ19−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ700ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7−1+52−1−521−521+521−521+52−1+52−1−5200000000
χ392-2-222-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−522-2−1+52−1+52−1−52−1−521−521−521+521+522-22-22-22i2i−2i−2i−1+52−1+52−1−52−1−521−521−521+521+52−ζ11−ζ19−ζ11−ζ19−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7−ζ3−ζ7−ζ3−ζ7ζ11+ζ19ζ11+ζ19ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7ζ3+ζ7ζ3+ζ72i−2i−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7−1+52−1−52−1+52−1−521−521+521−521+5200000000
χ402-2-222-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−522-2−1+52−1+52−1−52−1−521−521−521+521+522-22-22-2−2i−2i2i2i−1+52−1+52−1−52−1−521−521−521+521+52ζ11+ζ19ζ11+ζ19ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7ζ3+ζ7ζ3+ζ7−ζ11−ζ19−ζ11−ζ19−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7−ζ3−ζ7−ζ3−ζ7−2i2iζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7−1+52−1−52−1+52−1−521−521+521−521+5200000000
χ412-2-222-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−522-2−1+52−1+52−1−52−1−521−521−521+521+52-222-2-222i2i−2i−2i−1+52−1+52−1−52−1−521−521−521+521+52−ζ11−ζ19−ζ11−ζ19−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7−ζ3−ζ7−ζ3−ζ7ζ11+ζ19ζ11+ζ19ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7ζ3+ζ7ζ3+ζ7−2i2iζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ71−521+521−521+52−1+52−1−52−1+52−1−5200000000
χ422-2-222-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−522-2−1+52−1+52−1−52−1−521−521−521+521+52-222-2-22−2i−2i2i2i−1+52−1+52−1−52−1−521−521−521+521+52ζ11+ζ19ζ11+ζ19ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ7ζ3+ζ7ζ3+ζ7−ζ11−ζ19−ζ11−ζ19−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7−ζ3−ζ7−ζ3−ζ72i−2i−ζ11−ζ19−ζ11−ζ19−ζ3−ζ7−ζ3−ζ7ζ11+ζ19ζ11+ζ19ζ3+ζ7ζ3+ζ71−521+521−521+52−1+52−1−52−1+52−1−5200000000
χ432-2-222-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−522-2−1+52−1+52−1−52−1−521−521−521+521+52-2-2-222200001−521−521+521+52−1+52−1+52−1−52−1−52−ζ11+ζ19−ζ11+ζ19ζ11−ζ19ζ11−ζ19−ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ3−ζ7ζ11−ζ19ζ11−ζ19−ζ11+ζ19−ζ11+ζ19ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ3+ζ700ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ71−521+52−1+52−1−52−1+52−1−521−521+5200000000
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χ918-88-800−2−25−2+252+25−2−252−25−2+25−4ζ2+4ζ184ζ2−4ζ18−4ζ6+4ζ144ζ6−4ζ144ζ2−4ζ18−4ζ2+4ζ184ζ6−4ζ14−4ζ6+4ζ142+252−250000000000000000000000000000000000000000000000000000000000000000000000
χ928-88-800−2−25−2+252+25−2−252−25−2+254ζ2−4ζ18−4ζ2+4ζ184ζ6−4ζ14−4ζ6+4ζ14−4ζ2+4ζ184ζ2−4ζ18−4ζ6+4ζ144ζ6−4ζ142+252−250000000000000000000000000000000000000000000000000000000000000000000000

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