Finite Group Databasebeta

← Group #12076134

Character table — Group #12076134

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size11112222222222222222222222444444444444444444444444888888888888888888888888888888888888888888161616161616161616164040404040404040404040408080
order1222444444551010101010102020202020202020222444442020202020202020202020202020202044888810101010101020202020202020202020202020204040404040404040404040404040404088404040404040404024444444888824
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111111-1-111-1-111111111111111111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1111-1-11-1-11111-1-1
χ6111111111111111111111111111-1-111-1-111111111111111111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-111
χ7111111111111111111111111111-1-111-1-111111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-11-1-1-1-1-1-111
χ8111111111111111111111111111-1-111-1-111111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-111-1111111-1-1
χ9111111-1-1111111111111111111-111-1-1-1-111111-1-1-1-1-1-1-1-111111-111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11111-1-1-1-11-1-1-1-111111-1-11-1
χ10111111-1-1111111111111111111-111-1-1-1-111111-1-1-1-1-1-1-1-111111-111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11111-1-1-1-1-11111-1-1-1-1-111-11
χ11111111-1-1111111111111111111-111-1-1-1-111111-1-1-1-1-1-1-1-111111-1-1-111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-1-1-1-111111-1-1-1-1111-1-111-11
χ12111111-1-1111111111111111111-111-1-1-1-111111-1-1-1-1-1-1-1-111111-1-1-111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-1-1-1-11111-11111-1-1-111-1-11-1
χ13111111-1-1111111111111111111-1-1-1-1-11111111-1-1-1-1-1-1-1-11111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-11-1-1-1-111111-1-1111-1-111-1-1-11
χ14111111-1-1111111111111111111-1-1-1-1-11111111-1-1-1-1-1-1-1-11111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-111-1-1-111-1-1111-1
χ15111111-1-1111111111111111111-1-1-1-1-11111111-1-1-1-1-1-1-1-11111-11-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-11111-1-1-1-11-1-1111-1-1-1-1111-1
χ16111111-1-1111111111111111111-1-1-1-1-11111111-1-1-1-1-1-1-1-11111-11-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-11111-1-1-1-1-111-1-1-11111-1-1-11
χ172222222222−1+52−1−52−1+52−1+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+52−1−52−1−52222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+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+52−1−52−1−5200000000000000
χ182222222222−1+52−1−52−1+52−1+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+52−1−52−1−5222-2-2-2-2−1+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+52-2-21−521−521+521+521−521−521+521+5200000000000000
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+52−1−52−1−522-2-222-2-22−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52-2-22222−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-21−521−521+521+521−521−521+521+5200000000000000
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+52−1−52−1−522-2-222-2-22−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-2-2−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000
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+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+52222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+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+5200000000000000
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+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+5222-2-2-2-2−1−52−1+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+521−521−521−521−52-2-21+521+521−521−521+521+521−521−5200000000000000
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+522-2-222-2-22−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52-2-22222−1−52−1+521+521+521−521−52−1−52−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-21+521+521−521−521+521+521−521−5200000000000000
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+522-2-222-2-22−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-2-2-2−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000
χ25222222-2-222−1+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+52−1−52−1−52-222-2-2-2-22−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−522-222-2-21−521+52−1+52−1+52−1−52−1−521−521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+522-2−1+52−1+52−1−52−1−521−521−521+521+5200000000000000
χ26222222-2-222−1+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+52−1−52−1−52-222-2-2-2-22−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−522-2-2-2221−521+52−1+52−1+52−1−52−1−521−521+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+52−1−52−1−52−1−52−1−52-221−521−521+521+52−1+52−1+52−1−52−1−5200000000000000
χ27222222-2-222−1+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+52−1−52−1−52-2-2-2-2-2222−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52-2222-2-21−521+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+52-221−521−521+521+52−1+52−1+52−1−52−1−5200000000000000
χ28222222-2-222−1+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+52−1−52−1−52-2-2-2-2-2222−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52-22-2-2221−521+521−521−521+521+521−521+521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+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+5200000000000000
χ29222222-2-222−1−52−1+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+52-222-2-2-2-22−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+522-222-2-21+521−52−1−52−1−52−1+52−1+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+521+521+521+521+521−521−521−521−522-2−1−52−1−52−1+52−1+521+521+521−521−5200000000000000
χ30222222-2-222−1−52−1+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+52-222-2-2-2-22−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+522-2-2-2221+521−52−1−52−1−52−1+52−1+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+52-221+521+521−521−52−1−52−1−52−1+52−1+5200000000000000
χ31222222-2-222−1−52−1+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+52-2-2-2-2-2222−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52-2222-2-21+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+521−521−521−521−52-221+521+521−521−52−1−52−1−52−1+52−1+5200000000000000
χ32222222-2-222−1−52−1+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+52-2-2-2-2-2222−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52-22-2-2221+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+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+521−521−5200000000000000
χ3322222-2222-22222222222222222-200-2200-2-2-2-2-222222222-2-2-2-2000000-2-20000-2-20000000000000000000000000000000000000022-200-200000000
χ3422222-2222-22222222222222222-200-2200-2-2-2-2-222222222-2-2-2-2000000-2-20000-2-200000000000000000000000000000000000000-2-2200200000000
χ3522222-2-2-22-222222222222222222002-200-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000022000022000000000000000000000000000000000000002-2200-200000000
χ3622222-2-2-22-222222222222222222002-200-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000002200002200000000000000000000000000000000000000-22-200200000000
χ372222-2222-2222222222-2-2-2-2-2-2-2-2222-2-2-2-2-2222222-2-222-2-2-2-2-2-2-220000222222-2-2-2-2-2-222-2-222-2-20000000000000000000000000000000000000000
χ382222-2222-2222222222-2-2-2-2-2-2-2-22-2-2-2-222-2222222-2-222-2-2-2-2-2-22-2000022-2-2-2-2-2-22222-2-222-2-2220000000000000000000000000000000000000000
χ392222-2222-22−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−521−521−521+521+521−521−521+521+52222-2-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+521−521−52−1−52−1−521+521+521−521−521+521+52-220000−1+52−1−52−1+52−1+52−1−52−1−521−521+521−521−521+521+52−1+52−1+521−521−52−1−52−1−521+521+52−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ14−ζ22+ζ38−ζ22+ζ38ζ22−ζ38ζ22−ζ38ζ6−ζ14ζ6−ζ14−ζ6+ζ14−ζ6+ζ1400−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ14−ζ22+ζ38ζ22−ζ38ζ6−ζ14−ζ6+ζ1400000000000000
χ402222-2222-22−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−521−521−521+521+521−521−521+521+52222-2-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+521−521−52−1−52−1−521+521+521−521−521+521+52-220000−1+52−1−52−1+52−1+52−1−52−1−521−521+521−521−521+521+52−1+52−1+521−521−52−1−52−1−521+521+52ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ14ζ22−ζ38ζ22−ζ38−ζ22+ζ38−ζ22+ζ38−ζ6+ζ14−ζ6+ζ14ζ6−ζ14ζ6−ζ1400ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ14ζ22−ζ38−ζ22+ζ38−ζ6+ζ14ζ6−ζ1400000000000000
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χ11688-8-8-800080−2−25−2+25−2−252+252+25−2+252−252−252+252+252−252−25−2−25−2−25−2+25−2+25000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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