Finite Group Databasebeta

← Group #11986440

Character table — Group #11986440

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11112222222222222222222222444444444444444488888888888888888888888888161616161616161616161616161616161616161640404040404040404040404040404040
order124422244455101010101010202020202020202022448888101010102020202088101010102020202040404040404040404040404040404040888840404040404040404040404040404040888888881616161616161616
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i
χ611111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii
χ711111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111iiii−i−i−i−i−i−i−i−iiiii
χ811111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111−i−i−i−iiiiiiiii−i−i−i−i
χ911-1-11-1-111-111111111-1-1-1-1-1-1-1-11-11-1-1-111-1-1-1-111111-111-1-111-1-11111-1-1-1-11111-1-1-1-1i−ii−iiiii−i−i−i−iiiii−i−i−i−iii−i−iii−i−i11-1-111-1-1
χ1011-1-11-1-111-111111111-1-1-1-1-1-1-1-11-11-1-1-111-1-1-1-111111-111-1-111-1-11111-1-1-1-11111-1-1-1-1i−ii−iiiii−i−i−i−iiiii−i−i−i−i−i−iii−i−iii-1-111-1-111
χ1111-1-11-1-111-111111111-1-1-1-1-1-1-1-11-11-1-1-111-1-1-1-111111-111-1-111-1-11111-1-1-1-11111-1-1-1-1−ii−ii−i−i−i−iiiii−i−i−i−iiiiiii−i−iii−i−i-1-111-1-111
χ1211-1-11-1-111-111111111-1-1-1-1-1-1-1-11-11-1-1-111-1-1-1-111111-111-1-111-1-11111-1-1-1-11111-1-1-1-1−ii−ii−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−iii11-1-111-1-1
χ1311-1-11-1-111-111111111-1-1-1-1-1-1-1-1-11-1111-1-1-1-1-1-111111-1-1-111-1-1111111-1-1-1-1-1-1-1-11111i−i−iiiiii−i−i−i−i−i−i−i−iiiii11-1-1-1-111−i−iiiii−i−i
χ1411-1-11-1-111-111111111-1-1-1-1-1-1-1-1-11-1111-1-1-1-1-1-111111-1-1-111-1-1111111-1-1-1-1-1-1-1-11111i−i−iiiiii−i−i−i−i−i−i−i−iiiii-1-11111-1-1ii−i−i−i−iii
χ1511-1-11-1-111-111111111-1-1-1-1-1-1-1-1-11-1111-1-1-1-1-1-111111-1-1-111-1-1111111-1-1-1-1-1-1-1-11111−iii−i−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-111ii−i−i−i−iii
χ1611-1-11-1-111-111111111-1-1-1-1-1-1-1-1-11-1111-1-1-1-1-1-111111-1-1-111-1-1111111-1-1-1-1-1-1-1-11111−iii−i−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-1−i−iiiii−i−i
χ17222222222222222222222222222222-2-2-2-222222222-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000
χ1822222222222222222222222222-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222000000000000000000000000000000000000
χ192222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222222222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−5222−1+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+52−1−52−1−52−1+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+52−1−52−1−520000000000000000
χ202222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222222222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−5222−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-21−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+520000000000000000
χ212222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522222-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52-2-2−1+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+520000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ360000000000000000
χ222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522222-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52-2-2−1+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+520000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ360000000000000000
χ232222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-22222−1+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+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ360000000000000000
χ242222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-22222−1+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+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ360000000000000000
χ252222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-2-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52221−521+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+5222-2-2−1+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+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-2-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52221−521+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+52-2-2221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000
χ272222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222222222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+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+52−1−52−1−52−1+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+520000000000000000
χ282222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222222222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−520000000000000000
χ292222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522222-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52-2-2−1−52−1+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+521−521−520000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ280000000000000000
χ302222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522222-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52-2-2−1−52−1+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+521−521−520000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ280000000000000000
χ312222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2-22222−1−52−1−52−1+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+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ280000000000000000
χ322222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2-22222−1−52−1−52−1+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+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ280000000000000000
χ332222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2-2-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52221+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+521−521−5222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−520000000000000000
χ342222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2-2-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52221+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+521−521−52-2-2221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000
χ3522222-2-2-2-2222222222222222222-2-220000-2-2-2-2-2-2-2-20022-2-2-2-222000000000000000000000000000000000000000000002−22−22−22−2
χ3622222-2-2-2-2222222222222222222-2-220000-2-2-2-2-2-2-2-20022-2-2-2-22200000000000000000000000000000000000000000000−22−22−22−22
χ3722222-2-2-2-222222222222222222-222-20000-2-2-2-2-2-2-2-200-2-22222-2-200000000000000000000000000000000000000000000i2−i2i2−i2−i2i2−i2i2
χ3822222-2-2-2-222222222222222222-222-20000-2-2-2-2-2-2-2-200-2-22222-2-200000000000000000000000000000000000000000000−i2i2−i2i2i2−i2i2−i2
χ392222-22-22-2-222-2-2-2-22222-2-222-2-200002i−2i2i−2i2-22-222-2-20000000000000000002i−2i2i−2i2i−2i2i−2i000000000000000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i00000000
χ402222-22-22-2-222-2-2-2-22222-2-222-2-200002i−2i2i−2i2-22-222-2-20000000000000000002i−2i2i−2i2i−2i2i−2i00000000000000000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i00000000
χ412222-22-22-2-222-2-2-2-22222-2-222-2-20000−2i2i−2i2i2-22-222-2-2000000000000000000−2i2i−2i2i−2i2i−2i2i000000000000000000001−i−1+i1−i−1+i1+i−1−i1+i−1−i00000000
χ422222-22-22-2-222-2-2-2-22222-2-222-2-20000−2i2i−2i2i2-22-222-2-2000000000000000000−2i2i−2i2i−2i2i−2i2i00000000000000000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i00000000
χ4322-2-2222-2-2-222222222-2-2-2-2-2-2-2-222-2-200002222-2-2-2-2002222-2-2-2-2000000000000000000000000000000000000000000002−2−222−2−22
χ4422-2-2222-2-2-222222222-2-2-2-2-2-2-2-222-2-200002222-2-2-2-2002222-2-2-2-200000000000000000000000000000000000000000000−222−2−222−2
χ4522-2-2222-2-2-222222222-2-2-2-2-2-2-2-2-2-22200002222-2-2-2-200-2-2-2-2222200000000000000000000000000000000000000000000i2−i2−i2i2−i2i2i2−i2
χ4622-2-2222-2-2-222222222-2-2-2-2-2-2-2-2-2-22200002222-2-2-2-200-2-2-2-2222200000000000000000000000000000000000000000000−i2i2i2−i2i2−i2−i2i2
χ4722-2-22-2-222-222222222-2-2-2-2-2-2-2-22-22-222-2-2-2-2-2-22222-2222-2-222-2-2-2-2-2-22222-2-2-2-22222000000000000000000000000000000000000
χ4822-2-22-2-222-222222222-2-2-2-2-2-2-2-2-22-22-2-222-2-2-2-22222-22-2-222-2-222-2-2-2-222222222-2-2-2-2000000000000000000000000000000000000
χ4922-2-22-2-222-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+522-22-222-2-21−521−521+521+52−1+52−1−52−1+52−1−52-22−1+52−1−521−521+52−1+52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38ζ6−ζ14−ζ6+ζ140000000000000000
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χ968-88i−8i000000−2+25−2−254ζ12−4ζ28−4ζ12+4ζ28−4ζ4+4ζ364ζ4−4ζ362−252+25−4ζ22−4ζ384ζ22+4ζ38−4ζ22+4ζ384ζ22−4ζ38−4ζ6−4ζ144ζ6+4ζ144ζ6−4ζ14−4ζ6+4ζ14000000000000000000000000000000000000000000000000000000000000000000000000000000
χ978-88i−8i000000−2+25−2−25−4ζ12+4ζ284ζ12−4ζ284ζ4−4ζ36−4ζ4+4ζ362−252+25−4ζ22−4ζ384ζ22+4ζ384ζ22−4ζ38−4ζ22+4ζ38−4ζ6−4ζ144ζ6+4ζ14−4ζ6+4ζ144ζ6−4ζ14000000000000000000000000000000000000000000000000000000000000000000000000000000
χ988-88i−8i000000−2−25−2+25−4ζ4+4ζ364ζ4−4ζ36−4ζ12+4ζ284ζ12−4ζ282+252−25−4ζ6−4ζ144ζ6+4ζ14−4ζ6+4ζ144ζ6−4ζ14−4ζ22−4ζ384ζ22+4ζ38−4ζ22+4ζ384ζ22−4ζ38000000000000000000000000000000000000000000000000000000000000000000000000000000
χ998-88i−8i000000−2−25−2+254ζ4−4ζ36−4ζ4+4ζ364ζ12−4ζ28−4ζ12+4ζ282+252−25−4ζ6−4ζ144ζ6+4ζ144ζ6−4ζ14−4ζ6+4ζ14−4ζ22−4ζ384ζ22+4ζ384ζ22−4ζ38−4ζ22+4ζ38000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1008-8−8i8i000000880000-8-8−8i8i00−8i8i00000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8−8i8i000000−2+25−2−254ζ12−4ζ28−4ζ12+4ζ28−4ζ4+4ζ364ζ4−4ζ362−252+254ζ22+4ζ38−4ζ22−4ζ384ζ22−4ζ38−4ζ22+4ζ384ζ6+4ζ14−4ζ6−4ζ14−4ζ6+4ζ144ζ6−4ζ14000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1028-8−8i8i000000−2+25−2−25−4ζ12+4ζ284ζ12−4ζ284ζ4−4ζ36−4ζ4+4ζ362−252+254ζ22+4ζ38−4ζ22−4ζ38−4ζ22+4ζ384ζ22−4ζ384ζ6+4ζ14−4ζ6−4ζ144ζ6−4ζ14−4ζ6+4ζ14000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1038-8−8i8i000000−2−25−2+25−4ζ4+4ζ364ζ4−4ζ36−4ζ12+4ζ284ζ12−4ζ282+252−254ζ6+4ζ14−4ζ6−4ζ144ζ6−4ζ14−4ζ6+4ζ144ζ22+4ζ38−4ζ22−4ζ384ζ22−4ζ38−4ζ22+4ζ38000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1048-8−8i8i000000−2−25−2+254ζ4−4ζ36−4ζ4+4ζ364ζ12−4ζ28−4ζ12+4ζ282+252−254ζ6+4ζ14−4ζ6−4ζ14−4ζ6+4ζ144ζ6−4ζ144ζ22+4ζ38−4ζ22−4ζ38−4ζ22+4ζ384ζ22−4ζ38000000000000000000000000000000000000000000000000000000000000000000000000000000

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