Finite Group Databasebeta

← Group #13099792

Character table — Group #13099792

Order 1600.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100
size11112222222222444444444444555588888888888888881010101010101010101010101010202020202020202020202020202020202020202020202020202020202020202050505050100100100100
order12224455101010101010510101020202020202020202222551010101010102020202020202020448888101010101010101044442020202020202020202020202020202020202020404040404040404088884444
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111-1-1-1-11111111111111111-1-11111-1-1-1-1-1-1-1-1ii−i−i-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11111111-1-1-1-1ii−i−i
χ611111111111111111111111111-1-1-1-11111111111111111-1-11111-1-1-1-1-1-1-1-1−i−iii-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11111111-1-1-1-1−i−iii
χ711111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-11111−i−iii
χ811111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1-1-11111ii−i−i
χ91-1-111-111-1-1-1-1111-1-1111-1-111-1-11-11-111-1-1-1-1111111-1-1-1-11-1ii−i−i11-1-1-1-1111-11-111-1-11111-1-1-1-11111-1-1-1-1iiii−i−i−i−iii−i−ii−ii−i
χ101-1-111-111-1-1-1-1111-1-1111-1-111-1-11-11-111-1-1-1-1111111-1-1-1-11-1ii−i−i11-1-1-1-111-11-1111-1-1-1-1-1-11111-1-1-1-11111iiii−i−i−i−iii−i−i−ii−ii
χ111-1-111-111-1-1-1-1111-1-1111-1-111-1-11-11-111-1-1-1-1111111-1-1-1-11-1−i−iii11-1-1-1-1111-11-111-1-11111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−iii−ii−ii
χ121-1-111-111-1-1-1-1111-1-1111-1-111-1-11-11-111-1-1-1-1111111-1-1-1-11-1−i−iii11-1-1-1-111-11-1111-1-1-1-1-1-11111-1-1-1-11111−i−i−i−iiiii−i−iiii−ii−i
χ131-1-111-111-1-1-1-1111-1-1111-1-111-1-1-11-1111-1-1-1-1111111-1-1-1-1-11ii−i−i-1-11111-1-1i−i−ii-1-111iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−iii-111-1
χ141-1-111-111-1-1-1-1111-1-1111-1-111-1-1-11-1111-1-1-1-1111111-1-1-1-1-11ii−i−i-1-11111-1-1−iii−i-1-111−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−iii1-1-11
χ151-1-111-111-1-1-1-1111-1-1111-1-111-1-1-11-1111-1-1-1-1111111-1-1-1-1-11−i−iii-1-11111-1-1i−i−ii-1-111iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiii−i−i1-1-11
χ161-1-111-111-1-1-1-1111-1-1111-1-111-1-1-11-1111-1-1-1-1111111-1-1-1-1-11−i−iii-1-11111-1-1−iii−i-1-111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiii−i−i-111-1
χ17222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522222−1+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+52−1−52−1−52220000−1+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+52−1−52−1−520000000000000000
χ18222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522222−1+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+52−1−52−1−52220000−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+520000000000000000
χ19222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522222−1+52−1−52−1+52−1−522222-2-2-2-2−1+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+52−1−52−1−52-2-200001−521+521−521−521+521+521−521+522i2i−2i−2i1−521+521−521+52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ140000000000000000
χ20222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522222−1+52−1−52−1+52−1−522222-2-2-2-2−1+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+52−1−52−1−52-2-200001−521+521−521−521+521+521−521+52−2i−2i2i2i1−521+521−521+52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ140000000000000000
χ21222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522222−1−52−1+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+52220000−1−52−1+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+520000000000000000
χ22222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522222−1−52−1+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+52220000−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−520000000000000000
χ23222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522222−1−52−1+52−1−52−1+522222-2-2-2-2−1−52−1+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+52-2-200001+521−521+521+521−521−521+521−522i2i−2i−2i1+521−521+521−52−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ380000000000000000
χ24222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522222−1−52−1+52−1−52−1+522222-2-2-2-2−1−52−1+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+52-2-200001+521−521+521+521−521−521+521−52−2i−2i2i2i1+521−521+521−52ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ380000000000000000
χ252222-2-2222222222222-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-20000222222220000-2-2-2-200000000000000000000000000000000
χ262222-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2220000-2-2-2-2-2-2-2-20000222200000000000000000000000000000000
χ272222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222221−521+521−521+52-2-2-2-22222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+521−521−521+521+52-2-20000−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5200001−521+521−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ360000000000000000
χ282222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222221−521+521−521+52-2-2-2-22222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+521−521−521+521+52-2-20000−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5200001−521+521−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ360000000000000000
χ292222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222221−521+521−521+52-2-2-2-2-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+521−521−521+521+522200001−521+521−521−521+521+521−521+520000−1+52−1−52−1+52−1−52−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ140000000000000000
χ302222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222221−521+521−521+52-2-2-2-2-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+521−521−521+521+522200001−521+521−521−521+521+521−521+520000−1+52−1−52−1+52−1−52ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ140000000000000000
χ312222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222221+521−521+521−52-2-2-2-22222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−521+521+521−521−52-2-20000−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5200001+521−521+521−52−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ280000000000000000
χ322222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222221+521−521+521−52-2-2-2-22222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−521+521+521−521−52-2-20000−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5200001+521−521+521−52ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ280000000000000000
χ332222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222221+521−521+521−52-2-2-2-2-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−521+521+521−521−522200001+521−521+521+521−521−521+521−520000−1−52−1+52−1−52−1+52ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ380000000000000000
χ342222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222221+521−521+521−52-2-2-2-2-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−521+521+521−521−522200001+521−521+521+521−521−521+521−520000−1−52−1+52−1−52−1+52−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ380000000000000000
χ3522-2-200222-22-2-2-222-2-20000000022-2-2222-22-2-2-200000000002−22−2222-22-2-2-200000000000000000000000022−2−222−2−22−22−20000
χ3622-2-200222-22-2-2-222-2-20000000022-2-2222-22-2-2-20000000000−22−22222-22-2-2-2000000000000000000000000−2−222−2−222−22−220000
χ3722-2-200222-22-2-2-222-2-200000000-2-222222-22-2-2-200000000002−22−2-2-2-22-222200000000000000000000000022−2−222−2−2−22−220000
χ3822-2-200222-22-2-2-222-2-200000000-2-222222-22-2-2-20000000000−22−22-2-2-22-2222000000000000000000000000−2−222−2−2222−22−20000
χ392-22-20022-22-22-2-22-22-2000000002-2-2222-22-22-2-20000000000i2−i2−i2i222-22-22-2-2000000000000000000000000i2i2−i2−i2−i2−i2i2i2i2−i2−i2i20000
χ402-22-20022-22-22-2-22-22-2000000002-2-2222-22-22-2-20000000000−i2i2i2−i222-22-22-2-2000000000000000000000000−i2−i2i2i2i2i2−i2−i2−i2i2i2−i20000
χ412-22-20022-22-22-2-22-22-200000000-222-222-22-22-2-20000000000i2−i2−i2i2-2-22-22-222000000000000000000000000i2i2−i2−i2−i2−i2i2i2−i2i2i2−i20000
χ422-22-20022-22-22-2-22-22-200000000-222-222-22-22-2-20000000000−i2i2i2−i2-2-22-22-222000000000000000000000000−i2−i2i2i2i2i2−i2−i2i2−i2−i2i20000
χ432-2-222-2−1+52−1−521−521−521+521+52−1+52−1−522-2-22−1+52−1−521−521+5222-2-22-22-2−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+522-20000−1+52−1−521−521−521+521+52−1+52−1−522-22-2−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+520000000000000000
χ442-2-222-2−1+52−1−521−521−521+521+52−1+52−1−522-2-22−1+52−1−521−521+5222-2-22-22-2−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+522-20000−1+52−1−521−521−521+521+52−1+52−1−52-22-22−1+52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000000000000000
χ452-2-222-2−1+52−1−521−521−521+521+52−1+52−1−522-2-22−1+52−1−521−521+5222-2-2-22-22−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52-2200001−521+52−1+52−1+52−1−52−1−521−521+522i−2i−2i2i1−521+52−1+52−1−52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ140000000000000000
χ462-2-222-2−1+52−1−521−521−521+521+52−1+52−1−522-2-22−1+52−1−521−521+5222-2-2-22-22−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52-2200001−521+52−1+52−1+52−1−52−1−521−521+52−2i2i2i−2i1−521+52−1+52−1−52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ140000000000000000
χ472-2-222-2−1−52−1+521+521+521−521−52−1−52−1+522-2-22−1−52−1+521+521−5222-2-22-22-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−522-20000−1−52−1+521+521+521−521−52−1−52−1+522-22-2−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−520000000000000000
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Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.