Finite Group Databasebeta

← Group #12143547

Character table — Group #12143547

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107
size1111222222222222224444444444444444448888888888888888888888888888888888888881616161616161616161616161616202020202020404040404040404040404080
order1222224444551010101010104444881010101020202020202020202244448101010102020202020202020202020202020202020202020404040404040404048101020202020202040404040224488444444888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111-1-1-11-11-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-111-1-1-1
χ41111111111111111111111111111111111111-1-1-11-11-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111-1-1111
χ51111111111111111111111-1-1111111111111-1111-11-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-1-111-1
χ61111111111111111111111-1-1111111111111-1111-11-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-11
χ71111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-111-1-111-1-1-1-1-11
χ81111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111-1-111-1-111111-1
χ9111111111111111111-1-1-1-111111111111111-11-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-11-1-1-1-1-1-1-1-11111111111-1-1-1-111111-1-1-1
χ10111111111111111111-1-1-1-111111111111111-11-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1111
χ11111111111111111111-1-1-1-111111111111111-1-111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-111111
χ12111111111111111111-1-1-1-111111111111111-1-111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1
χ13111111111111111111-1-1-1-1-1-111111111111111-1-111-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-1111111-1-111-1-11-1-1-1-11
χ14111111111111111111-1-1-1-1-1-111111111111111-1-111-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-1-1-111-1-111-11111-1
χ15111111111111111111-1-1-1-1-1-11111111111111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111111-1-1-1-111111111-1-1-1-11111-1-1-111-1
χ16111111111111111111-1-1-1-1-1-11111111111111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-11111-1-1-1-1111-1-11
χ172222222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522222222−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+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+52−1−52−1−52000000000000000000
χ182222222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522-2-2-22-221−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52000000000000000000
χ192222222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−522222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2222-22-2−1+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+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52-2-21−521+521−521+521−521−521+521+521−521−521+521+52000000000000000000
χ202222222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−522222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-2-2-21−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521+521+521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52221−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000000000
χ212222222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2-2-2-222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-22-2-2-222−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-221−521+521−521+521−521−521+521+52−1+52−1+52−1−52−1−52000000000000000000
χ222222222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2-2-2-222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-222-2-221−521−521+521+521−521−521−521−521+521+521+521+521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-21−521+521−521+52−1+52−1+52−1−52−1−521−521−521+521+52000000000000000000
χ232222222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2-2-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222-2-222-2−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+522-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52000000000000000000
χ242222222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2-2-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522-2222-2-21−521−521+521+521−521−521−521−521+521+521+521+521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52-22−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52000000000000000000
χ252222222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522222222−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+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+52000000000000000000
χ262222222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522-2-2-22-221+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+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52000000000000000000
χ272222222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+522222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2222-22-2−1−52−1−52−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52-2-21+521−521+521−521+521+521−521−521+521+521−521−52000000000000000000
χ282222222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+522222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-2-2-2-21+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+521−521−521−521−521+521+521+521+521−521−521−521−52221+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000000000
χ292222222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-2-2-2-222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-22-2-2-222−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+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+521−521+521+521−521−52−1−52−1−52−1+52−1+52000000000000000000
χ302222222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-2-2-2-222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-222-2-221+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522-21+521−521+521−52−1−52−1−52−1+52−1+521+521+521−521−52000000000000000000
χ312222222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-2-2-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222-2-222-2−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−522-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52000000000000000000
χ322222222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-2-2-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522-2222-2-21+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+521+521+521+521+521−521−521−521−52-22−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52000000000000000000
χ332222-2-22-22-22222222222-2-222-2-2-2-2-2-2-2-222222000-20-2000022-2-222-2-200000000000022-2-222-2-20022-2-200000000000000000000000000
χ342222-2-22-22-22222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2000202000022-2-222-2-2000000000000-2-222-2-22200-2-22200000000000000000000000000
χ352222-2-22-22-222222222-2-22222-2-2-2-2-2-2-2-22222-200020-20000-2-222-2-22200000000000022-2-222-2-200-2-22200000000000000000000000000
χ362222-2-22-22-222222222-2-222-2-2-2-2-2-2-2-2-2-222222000-2020000-2-222-2-222000000000000-2-222-2-2220022-2-200000000000000000000000000
χ372222-2-22-22-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−5222-2-2221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−522000-20-2ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−1+52−1+521−521−52−1−52−1−521+521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−1+52−1+521−521−52−1−52−1−521+521+5200−1+52−1−521−521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36000000000000000000
χ382222-2-22-22-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−5222-2-2221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−522000-20-2−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−1+52−1+521−521−52−1−52−1−521+521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−1+52−1+521−521−52−1−52−1−521+521+5200−1+52−1−521−521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36000000000000000000
χ392222-2-22-22-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−5222-2-2-2-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52-2000202ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−1+52−1+521−521−52−1−52−1−521+521+52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ361−521−52−1+52−1+521+521+52−1−52−1−52001−521+52−1+52−1−52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36000000000000000000
χ402222-2-22-22-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−5222-2-2-2-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52-2000202−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−1+52−1+521−521−52−1−52−1−521+521+52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ361−521−52−1+52−1+521+521+52−1−52−1−52001−521+52−1+52−1−52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36000000000000000000
χ412222-2-22-22-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2-222221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52-200020-2ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ361−521−52−1+52−1+521+521+52−1−52−1−52ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−1+52−1+521−521−52−1−52−1−521+521+52001−521+52−1+52−1−52−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36000000000000000000
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χ10388-8-8000000−2−25−2+252+252+25−2−252−252−25−2+250000000000000000000000000000000000000000000000000002ζ21−2ζ29+2ζ31−2ζ39−2ζ21+2ζ29−2ζ31+2ζ39002ζ7−2ζ13−2ζ23+2ζ37−2ζ7+2ζ13+2ζ23−2ζ3700000000000000000000000000000000
χ1048-88-8000000−2+25−2−252−25−2+252−252+25−2−252+2500004i2−4i200000000000000000000000000000000000000000002ζ7+2ζ13+2ζ23+2ζ37−2ζ7−2ζ13−2ζ23−2ζ37002ζ21+2ζ29+2ζ31+2ζ39−2ζ21−2ζ29−2ζ31−2ζ390000000000000000000000000000000000
χ1058-88-8000000−2+25−2−252−25−2+252−252+25−2−252+250000−4i24i20000000000000000000000000000000000000000000−2ζ7−2ζ13−2ζ23−2ζ372ζ7+2ζ13+2ζ23+2ζ3700−2ζ21−2ζ29−2ζ31−2ζ392ζ21+2ζ29+2ζ31+2ζ390000000000000000000000000000000000
χ1068-88-8000000−2−25−2+252+25−2−252+252−25−2+252−2500004i2−4i200000000000000000000000000000000000000000002ζ21+2ζ29+2ζ31+2ζ39−2ζ21−2ζ29−2ζ31−2ζ39002ζ7+2ζ13+2ζ23+2ζ37−2ζ7−2ζ13−2ζ23−2ζ370000000000000000000000000000000000
χ1078-88-8000000−2−25−2+252+25−2−252+252−25−2+252−250000−4i24i20000000000000000000000000000000000000000000−2ζ21−2ζ29−2ζ31−2ζ392ζ21+2ζ29+2ζ31+2ζ3900−2ζ7−2ζ13−2ζ23−2ζ372ζ7+2ζ13+2ζ23+2ζ370000000000000000000000000000000000

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