Finite Group Databasebeta

← Group #12985365

Character table — Group #12985365

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128
size11112222222222222222222222444444444444444444444444444488888888888888888888888888888888888888888888161616161616161620202020202020202020202040404040404040404040
order1222222244551010101010101010101010101010222224448888101010101010101020202020202020202222448810101010101010101010101010101010202020204040404040404040404040404040404010101010202020202244444488882444444488
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111
χ5111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111
χ6111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ7111111111111111111111111111-1-1-1-1111-1-1-1-11111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1
χ8111111111111111111111111111-1-1-1-1111-1-1-1-11111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111
χ9111111-1-1111111111111111111-111-1-11-1-111-1-1-1-1-1-1-1-1-1-1111111111-111-1-11-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11-11-111-1-11111-1-11111-1-1-1-1
χ10111111-1-1111111111111111111-111-1-11-1-111-1-1-1-1-1-1-1-1-1-1111111111-111-1-11-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-11-11-1-111-1-1-1-111-1-1-1-11111
χ11111111-1-1111111111111111111-111-1-11-1-1-1-111-1-1-1-1-1-1-1-1111111111-1-1-111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111-11-111-1-1-1-1-1-1-1-111-1-11111
χ12111111-1-1111111111111111111-111-1-11-1-1-1-111-1-1-1-1-1-1-1-1111111111-1-1-111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-11-11-1-111111111-1-111-1-1-1-1
χ13111111-1-1111111111111111111-1-1-1111-1-111-1-1-1-1-1-1-1-1-1-111111111-11-1-1111-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111-11-111-1-1111111-1-1-1-111-1-1
χ14111111-1-1111111111111111111-1-1-1111-1-111-1-1-1-1-1-1-1-1-1-111111111-11-1-1111-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-11-11-1-111-1-1-1-1-1-11111-1-111
χ15111111-1-1111111111111111111-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-111111111-1111-1-1-11-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11-11-111-1-1-1-1-1-111-1-111-1-111
χ16111111-1-1111111111111111111-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-111111111-1111-1-1-11-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-11-11-1-1111111-1-111-1-111-1-1
χ171111-1-111111111-1-1-1-1-1-1-1-11111-111-1-1-11-111111111-1-1-1-1-1-1-1-11111-111-11-1-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11-1-111-11-111-1-1-111-11-11-11-1
χ181111-1-111111111-1-1-1-1-1-1-1-11111-111-1-1-11-111111111-1-1-1-1-1-1-1-11111-111-11-1-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1-111-1-11-11-1-1111-1-11-11-11-11
χ191111-1-111111111-1-1-1-1-1-1-1-11111-111-1-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-11111-11-11-11111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1111-1-111-11-1-1-111-111-1-11-11-11
χ201111-1-111111111-1-1-1-1-1-1-1-11111-111-1-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-11111-11-11-11111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-111-1-11-1111-1-11-1-111-11-11-1
χ211111-1-111111111-1-1-1-1-1-1-1-11111-1-1-111-11-111111111-1-1-1-1-1-1-1-111111-1-11-11-1-1-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1111-1-111-11-111-1-11-1-11-11-111-1
χ221111-1-111111111-1-1-1-1-1-1-1-11111-1-1-111-11-111111111-1-1-1-1-1-1-1-111111-1-11-11-1-1-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-111-1-11-11-1-111-111-11-11-1-11
χ231111-1-111111111-1-1-1-1-1-1-1-11111-1-1-111-11-1-1-1-1-11111-1-1-1-1-1-1-1-111111-11-11-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-11-1-111-11-1-1-1111-1-111-11-1-11
χ241111-1-111111111-1-1-1-1-1-1-1-11111-1-1-111-11-1-1-1-1-11111-1-1-1-1-1-1-1-111111-11-11-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-111-1-11-1111-1-1-111-1-11-111-1
χ251111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111-1-1111-1-1-1-1-1-11111-1-1-1-11111-1-11-1-11-111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-11-1-1111-1-11-11-11-1-11-11
χ261111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111-1-1111-1-1-1-1-1-11111-1-1-1-11111-1-11-1-11-111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-111-1-1-111-11-11-111-11-1
χ271111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111-1-11-1-111-1-1-1-11111-1-1-1-11111-1-1-111-11-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-1-1-11111-1-111-1-11-1-11-1-1111-11-1-111-11-1
χ281111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111-1-11-1-111-1-1-1-11111-1-1-1-11111-1-1-111-11-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111-111-111-1-1-11-111-1-11-11
χ291111-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1111-1-1-1-1-1-11111-1-1-1-1111111-111-1-11-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-11-1-1111-1-1-11-11-111-1-11
χ301111-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1111-1-1-1-1-1-11111-1-1-1-1111111-111-1-11-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-111-1-1-1111-11-11-1-111-1
χ311111-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-11-1-111-1-1-1-11111-1-1-1-11111111-1-111-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-11-1-11-1-111-11-111-1-111-1
χ321111-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-11-1-111-1-1-1-11111-1-1-1-11111111-1-111-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1-1-111-1-111-111-111-1-11-11-1-111-1-11
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+52−1−52−1−52222222222222−1+52−1+52−1−52−1−52−1+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+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000000000000000000000
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+52−1−52−1−5222222222-2-2-2-2−1+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+52−1−52−1−5222-2-2-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+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+521−521+521−521+520000000000000000000000
χ352222222222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−522-2-2-2-22222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-2-2221−521−521+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+52−1−52−1−52−1+52−1+52−1−52−1−521−521+521−521+521−521+521−521+520000000000000000000000
χ362222222222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−522-2-2-2-2222-2-2-2-2−1+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+52−1−52−1−52-2-22222-2-21−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−521−521−521+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+52−1−520000000000000000000000
χ372222222222−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52222222222222−1−52−1−52−1+52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000000000000000000000
χ382222222222−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+5222222222-2-2-2-2−1−52−1−52−1+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+5222-2-2-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+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+521−521+521−521+521−520000000000000000000000
χ392222222222−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+522-2-2-2-22222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-2-2-2221+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+52−1−52−1−52−1+52−1+521+521−521+521−521+521−521+521−520000000000000000000000
χ402222222222−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+522-2-2-2-2222-2-2-2-2−1−52−1−52−1+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+52-2-22222-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+521+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+520000000000000000000000
χ4122222222-2-2222222222222222220000-2-2-2000022222222-2-2-2-2-2-2-2-2000000000000000000000000-2-2-2-20000000000000000000000002-22-2-2-22200000000000000
χ4222222222-2-2222222222222222220000-2-2-2000022222222-2-2-2-2-2-2-2-2000000000000000000000000-2-2-2-2000000000000000000000000-22-2222-2-200000000000000
χ43222222-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52-222-2-22-2-222-2-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522-222-2-22-2−1+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+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−521−521+521−521+520000000000000000000000
χ44222222-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52-222-2-22-2-2-2-2221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522-2-2-222-22−1+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+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521+521−521+52−1+52−1−52−1+52−1−520000000000000000000000
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χ1244-4-4400-4400−1−5−1+51+51−52ζ4−2ζ36−2ζ4+2ζ36−2ζ4+2ζ362ζ4−2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ12+2ζ282ζ12−2ζ281+5−1−51−5−1+500000000−222222−221+5−1−51−5−1+5−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ28000000000000000000000000000000000000−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37ζ21+ζ29−ζ31−ζ39−ζ21−ζ29+ζ31+ζ39−ζ7+ζ13−ζ23+ζ37ζ7−ζ13+ζ23−ζ37−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37000000000000000000000000000000
χ12588-8-88-80000−2+25−2−25−2+25−2−25−2+25−2+252−252−25−2−25−2−252+252+252−252−252+252+25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12688-8-88-80000−2−25−2+25−2−25−2+25−2−25−2−252+252+25−2+25−2+252−252−252+252+252−252−25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12788-8-8-880000−2+25−2−25−2+25−2−252−252−25−2+25−2+252+252+25−2−25−2−252−252−252+252+25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12888-8-8-880000−2−25−2+25−2−25−2+252+252+25−2−25−2−252−252−25−2+25−2+252+252+252−252−25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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