Finite Group Databasebeta

← Group #12996169

Character table — Group #12996169

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125
size111122222222222222222222444444444444444444444444444448888888888888888888888888888888888888888888816161616161616162020202020202020404040404040404040404040
order1222444455101010101010202020202020202024444444488881010101020202020202020202020202024444488101010102020202020202020202020202020202040404040404040404040404040404040202020202020202022444444244444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-1-1-111111111111111111-1-11-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-111-1-1-1-1-1
χ4111111111111111111111111111111111-1-1-1-111111111111111111-1-11-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-111111
χ5111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ6111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ7111111111111111111111111111-1-1-1-111-1-1-1-11111111111111111-111-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-11-1-11-1-1-1-1
χ8111111111111111111111111111-1-1-1-111-1-1-1-11111111111111111-111-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-111-11111
χ91111111111111111111111111-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111-11-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11-11-11-11-1111-1-11-1-11-11-1
χ101111111111111111111111111-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111-11-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-11-11-11-11-1-1-111-111-11-11
χ111111111111111111111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-1111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111-11-11-11-1-1-11-111-11-11-11
χ121111111111111111111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-1111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-11-11-11-1111-11-1-11-11-11-1
χ131111111111111111111111111-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1111-11-1-11-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111-11-11-11-1-1-1-111-1111-11-1
χ141111111111111111111111111-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1111-11-1-11-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-11-11-11-11111-1-11-1-1-11-11
χ151111111111111111111111111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11-11-11-11-111-11-1-11-1-11-11
χ161111111111111111111111111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-11-11-11-11-1-11-111-111-11-1
χ171111-1-11111111111-1-1-1-1-1-1-1-1-11-111111-111-1-1-1-1-1-1111111-1-1-1-111-111-1-1-11-1-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11-1-111-1-111-1-1111-1-111-1-1
χ181111-1-11111111111-1-1-1-1-1-1-1-1-11-111111-111-1-1-1-1-1-1111111-1-1-1-111-111-1-1-11-1-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1-111-1-111-1-111-1-1-111-1-111
χ191111-1-11111111111-1-1-1-1-1-1-1-1-11-111111-1-1-111-1-1-1-1111111-1-1-1-111-1-1-1-111-11-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1111-1-111-1-11-11-11-11-11-1-111
χ201111-1-11111111111-1-1-1-1-1-1-1-1-11-111111-1-1-111-1-1-1-1111111-1-1-1-111-1-1-1-111-11-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-111-1-111-11-11-11-11-111-1-1
χ211111-1-11111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-11-111-1-1-1-1-1-1111111-1-1-1-1111-1-11111-11111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-1111-1-111-1-11-111-1-1-11111-1-1
χ221111-1-11111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-11-111-1-1-1-1-1-1111111-1-1-1-1111-1-11111-11111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-111-111-1-111-11-1-1111-1-1-1-111
χ231111-1-11111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-11-1-1-111-1-1-1-1111111-1-1-1-1111111-1-1-111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-111-1-11-1-111-1-111-11-11-11-1-1-111
χ241111-1-11111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-11-1-1-111-1-1-1-1111111-1-1-1-1111111-1-1-111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-111-1-1-111-1-111-1-11-11-11-1111-1-1
χ251111-1-11111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1111-1-1-1-1-1-111-1-1-1-111111111-1-1-11-111111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-11-1-1-1-11111-1-11
χ261111-1-11111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1111-1-1-1-1-1-111-1-1-1-111111111-1-1-11-111111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-111-11111-1-1-1-111-1
χ271111-1-11111111111-1-1-1-1-1-1-1-1-1-1111-1-1-11-1-111-1-1-1-111-1-1-1-11111111-11-11-11-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-111-1-111-1-1-11-1-1111-1-111-1
χ281111-1-11111111111-1-1-1-1-1-1-1-1-1-1111-1-1-11-1-111-1-1-1-111-1-1-1-11111111-11-11-11-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111-1-1111-111-1-1-111-1-11
χ291111-1-11111111111-1-1-1-1-1-1-1-1-1-11-1-111-1111-1-1-1-1-1-111-1-1-1-1111111-1-1111-1-11-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-111-1-1-11111-1-1-11-1-11
χ301111-1-11111111111-1-1-1-1-1-1-1-1-1-11-1-111-1111-1-1-1-1-1-111-1-1-1-1111111-1-1111-1-11-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1111-1-1-1-1111-111-1
χ311111-1-11111111111-1-1-1-1-1-1-1-1-1-11-1-111-11-1-111-1-1-1-111-1-1-1-1111111-11-11-111-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-111-1-11-111-1-1-11-111-1
χ321111-1-11111111111-1-1-1-1-1-1-1-1-1-11-1-111-11-1-111-1-1-1-111-1-1-1-1111111-11-11-111-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-111-1-111-1-111-11-1-1111-11-1-11
χ3322222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522222222222222−1+52−1+52−1−52−1−52−1+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+52−1−5200000000000000000000
χ3422222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52222222222-2-2-2-2−1+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+52−1−522-2-22-2-2-2-2−1+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+5200000000000000000000
χ3522222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52222-2-2-2-2222222−1+52−1+52−1−52−1−52−1+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+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521+521−521+521−521+521−521+5200000000000000000000
χ3622222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52222-2-2-2-222-2-2-2-2−1+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+52−1−52-222-222-2-21−521−521+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+521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5200000000000000000000
χ3722222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-2-222-2-2-2-22222−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1−52-22-222-2-2-21−521−521+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+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−521−521+521−521+5200000000000000000000
χ3822222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-2-222-2-2-2-2-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1−52-2-222-22221−521−521+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+52−1−52−1−52−1+52−1+52−1−52−1−521−521+521−521+52−1+52−1−52−1+52−1−5200000000000000000000
χ3922222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-2-2-2-222-2-22222−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1−522-22-2-22-2-2−1+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+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+52−1−5200000000000000000000
χ4022222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-2-2-2-222-2-2-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1−5222-2-22-222−1+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+52−1−52−1−52−1+52−1−52−1+52−1−521−521+521−521+5200000000000000000000
χ4122222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522222222222222−1−52−1−52−1+52−1+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+5200000000000000000000
χ4222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52222222222-2-2-2-2−1−52−1−52−1+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+522-2-22-2-2-2-2−1−52−1−52−1+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+521−5200000000000000000000
χ4322222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52222-2-2-2-2222222−1−52−1−52−1+52−1+52−1−52−1+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+521−521−52−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521−521+521−521+521−521+521−5200000000000000000000
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χ1194-4-44−4i4i00−1−5−1+51+51−5−1−51+5−1+51−52ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ38000000000−22222i2−2i2000000−2ζ4+2ζ362ζ4−2ζ36−2ζ12+2ζ282ζ12−2ζ282ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ38000000000000000000000000000000−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ21+ζ29+ζ31−ζ39ζ21−ζ29−ζ31+ζ39ζ7+ζ13−ζ23−ζ37−ζ7−ζ13+ζ23+ζ37ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ370000000000000000000000000000
χ1204-4-44−4i4i00−1−5−1+51+51−5−1−51+5−1+51−52ζ6+2ζ14−2ζ6−2ζ142ζ6+2ζ14−2ζ6−2ζ142ζ22+2ζ38−2ζ22−2ζ382ζ22+2ζ38−2ζ22−2ζ38000000000−22222i2−2i20000002ζ4−2ζ36−2ζ4+2ζ362ζ12−2ζ28−2ζ12+2ζ28−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ38000000000000000000000000000000−ζ21−ζ29+ζ31+ζ39ζ21+ζ29−ζ31−ζ39ζ7−ζ13+ζ23−ζ37−ζ7+ζ13−ζ23+ζ37ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ21−ζ29−ζ31+ζ39−ζ21+ζ29+ζ31−ζ39−ζ7−ζ13+ζ23+ζ37ζ7+ζ13−ζ23−ζ37−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ370000000000000000000000000000
χ12188-8-8000088-8-8-88-880000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12288-8-80000−2+25−2−252−252+252−25−2+252+25−2−25−4ζ22+4ζ384ζ22−4ζ384ζ22−4ζ38−4ζ22+4ζ38−4ζ6+4ζ144ζ6−4ζ144ζ6−4ζ14−4ζ6+4ζ1400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12388-8-80000−2+25−2−252−252+252−25−2+252+25−2−254ζ22−4ζ38−4ζ22+4ζ38−4ζ22+4ζ384ζ22−4ζ384ζ6−4ζ14−4ζ6+4ζ14−4ζ6+4ζ144ζ6−4ζ1400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12488-8-80000−2−25−2+252+252−252+25−2−252−25−2+254ζ6−4ζ14−4ζ6+4ζ14−4ζ6+4ζ144ζ6−4ζ14−4ζ22+4ζ384ζ22−4ζ384ζ22−4ζ38−4ζ22+4ζ3800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12588-8-80000−2−25−2+252+252−252+25−2−252−25−2+25−4ζ6+4ζ144ζ6−4ζ144ζ6−4ζ14−4ζ6+4ζ144ζ22−4ζ38−4ζ22+4ζ38−4ζ22+4ζ384ζ22−4ζ3800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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