Finite Group Databasebeta

← Group #12254174

Character table — Group #12254174

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110
size1111222222222222222222444444444444444444444488888888888888888888888888881616161616161616161616161616161616162020202020202020202020204040404040408080
order1222224444558888101010101010881010101020202020202020204040404040404040444416161616404040408080808080808080808080808080808024101010102020202020202020202020202244161616161616161644448844
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-111
χ511111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1
χ611111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ91111-1-11-1-11111111111111-1-1-1-1-1-111-1-1-1-1111111111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11111-1-1-1-11111-1-1-1-11-11-11111-1-1-1-111-1-11-11-1
χ101111-1-11-1-11111111111111-1-1-1-1-1-111-1-1-1-1111111111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11111-1-1-1-11111-1-1-1-1-11-11-1-1-1-11111-1-111-11-11
χ111111-1-11-1-11111111111111-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-11-1-1-1-111111111-1-1-1-11-11-1-1-1-1-1111111-1-11-1-11
χ121111-1-11-1-11111111111111-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-11-1-1-1-111111111-1-1-1-1-11-111111-1-1-1-1-1-111-111-1
χ131111-1-11-1-11111111111111-1-1-1-1-1-111-1-1-1-11111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-111111-11-11111-1-1-1-1-1-1111-1-11
χ141111-1-11-1-11111111111111-1-1-1-1-1-111-1-1-1-11111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-11111-11-11-1-1-1-1111111-1-1-111-1
χ151111-1-11-1-11111111111111-1-1-1-1-1-111-1-1-1-11111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111-11111-1-1-1-1-1-1-1-111111-11-1-1-1-1-11111-1-1111-11-1
χ161111-1-11-1-11111111111111-1-1-1-1-1-111-1-1-1-11111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111-11111-1-1-1-1-1-1-1-11111-11-111111-1-1-1-111-1-1-11-11
χ17222222222222-2-2-2-2222222-2-2222222222222-2-2-2-2-2-2-2-200000000-2-2-2-200000000000000000000000000000000002222000000000000-2-200
χ18222222222222-2-2-2-2222222-2-2222222222222-2-2-2-2-2-2-2-200000000-2-2-2-20000000000000000000000000000000000-2-2-2-20000000000002200
χ192222222222−1+52−1−522222−1+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+52−1−52−1−5222222222−1+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+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+52−1−52−1−5200000000000000000000
χ202222222222−1+52−1−522222−1+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+52−1−52−1−522222-2-2-2-2−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52-2-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000000000
χ212222222222−1+52−1−522222−1+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+52−1−52−1−52-2-2-2-22222−1+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+52−1−52−1−52−1−52−1−52-2-21−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+5200000000000000000000
χ222222222222−1+52−1−522222−1+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+52−1−52−1−52-2-2-2-2-2-2-2-2−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+5200000000000000000000
χ232222222222−1−52−1+522222−1−52−1+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+5222222222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+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+5200000000000000000000
χ242222222222−1−52−1+522222−1−52−1+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+522222-2-2-2-2−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52-2-21+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000000000
χ252222222222−1−52−1+522222−1−52−1+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+52-2-2-2-22222−1−52−1−52−1+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+52-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−5200000000000000000000
χ262222222222−1−52−1+522222−1−52−1+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+52-2-2-2-2-2-2-2-2−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5200000000000000000000
χ27222222-2-2-2-2220000222222002222-2-2-2-2-2-2-2-20000000000002−22−2000022−2−222−2−222−2−222−2−20000000000000000002-2-2222−2−222−2−200000000
χ28222222-2-2-2-2220000222222002222-2-2-2-2-2-2-2-20000000000002−22−2000022−2−222−2−222−2−222−2−2000000000000000000-222-2−2−222−2−22200000000
χ29222222-2-2-2-2220000222222002222-2-2-2-2-2-2-2-2000000000000−22−220000−2−222−2−222−2−222−2−2220000000000000000002-2-22−2−222−2−22200000000
χ30222222-2-2-2-2220000222222002222-2-2-2-2-2-2-2-2000000000000−22−220000−2−222−2−222−2−222−2−222000000000000000000-222-222−2−222−2−200000000
χ312222-2-22-2-2222-2-2-2-222222222-2-2-2-222-2-2-2-222-2-2-2-2-2-2-2-200000000222200000000000000000000000000000000002-22-2000000000000-2200
χ322222-2-22-2-2222-2-2-2-222222222-2-2-2-222-2-2-2-222-2-2-2-2-2-2-2-20000000022220000000000000000000000000000000000-22-220000000000002-200
χ332222-2-22-2-22−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52-2-21−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222-2-222-2-21−521−521+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+522-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+5200000000000000000000
χ342222-2-22-2-22−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52-2-21−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222-2-2-2-2221−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-221−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+5200000000000000000000
χ352222-2-22-2-22−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52-2-21−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-22222-2-21−521−521+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+52-221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200000000000000000000
χ362222-2-22-2-22−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1−52-2-21−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-222-2-2221−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−5200000000000000000000
χ372222-2-22-2-22−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52-2-21+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222-2-222-2-21+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−522-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−5200000000000000000000
χ382222-2-22-2-22−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52-2-21+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222-2-2-2-2221+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+52-221+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−5200000000000000000000
χ392222-2-22-2-22−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52-2-21+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-22222-2-21+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52-221+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200000000000000000000
χ402222-2-22-2-22−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1+52-2-21+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-222-2-2221+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+522-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+5200000000000000000000
χ412222-2-2-222-222000022222200-2-2-2-2-2-22222-2-20000000000002−2−22000022−2−222−2−2−2−222−2−22200000000000000000022-2-222−2−2−2−22200000000
χ422222-2-2-222-222000022222200-2-2-2-2-2-22222-2-20000000000002−2−22000022−2−222−2−2−2−222−2−222000000000000000000-2-222−2−22222−2−200000000
χ432222-2-2-222-222000022222200-2-2-2-2-2-22222-2-2000000000000−222−20000−2−222−2−22222−2−222−2−200000000000000000022-2-2−2−22222−2−200000000
χ442222-2-2-222-222000022222200-2-2-2-2-2-22222-2-2000000000000−222−20000−2−222−2−22222−2−222−2−2000000000000000000-2-22222−2−2−2−22200000000
χ4522-2-22-2-22-222222-2-2-2-222-2-22-22-22-2-2-22-22-222-2-2-2-22222000000002-22-200000000000000000000000000000000000000000000002i−2i2i−2i0000
χ4622-2-22-2-22-222222-2-2-2-222-2-22-22-22-2-2-22-22-222-2-2-2-22222000000002-22-20000000000000000000000000000000000000000000000−2i2i−2i2i0000
χ4722-2-22-2-22-2222-2-222-2-222-2-2-222-22-2-2-22-22-2222222-2-2-2-22i−2i2i−2i0000-22-22000000000000000000000000002i−2i2i−2i2i−2i2i−2i00000000000000000000
χ4822-2-22-2-22-2222-2-222-2-222-2-2-222-22-2-2-22-22-2222222-2-2-2-2−2i2i−2i2i0000-22-2200000000000000000000000000−2i2i−2i2i−2i2i−2i2i00000000000000000000
χ4922-2-22-2-22-22−1+52−1−52-2-2221−521+52−1+52−1−521−521+52-22−1+521−52−1−521+521−521+52−1+521−52−1−521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+522i−2i2i−2i00001−52−1+521+52−1−52−ζ44+ζ76ζ44−ζ76−ζ44+ζ76ζ44−ζ76ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28−ζ44+ζ76ζ44−ζ76−ζ44+ζ76ζ44−ζ76ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ2800ζ24−ζ56−ζ24+ζ56−ζ8+ζ72ζ8−ζ72ζ24−ζ56−ζ24+ζ56−ζ8+ζ72ζ8−ζ72−ζ44−ζ76ζ44+ζ76−ζ12−ζ28ζ12+ζ28−ζ44−ζ76ζ44+ζ76−ζ12−ζ28ζ12+ζ2800000000000000000000
χ5022-2-22-2-22-22−1+52−1−52-2-2221−521+52−1+52−1−521−521+52-22−1+521−52−1−521+521−521+52−1+521−52−1−521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+522i−2i2i−2i00001−52−1+521+52−1−52ζ44−ζ76−ζ44+ζ76ζ44−ζ76−ζ44+ζ76−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28ζ44−ζ76−ζ44+ζ76ζ44−ζ76−ζ44+ζ76−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ2800−ζ24+ζ56ζ24−ζ56ζ8−ζ72−ζ8+ζ72−ζ24+ζ56ζ24−ζ56ζ8−ζ72−ζ8+ζ72−ζ44−ζ76ζ44+ζ76−ζ12−ζ28ζ12+ζ28−ζ44−ζ76ζ44+ζ76−ζ12−ζ28ζ12+ζ2800000000000000000000
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Here ζ is a primitive root of unity of order 80 (ζ80 = 1); i = ζ20.