Finite Group Databasebeta

← Group #12148787

Character table — Group #12148787

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110
size111111112222222222222222222244444444448888888888888888888888888888888888816161616161616161616161616161616162020202020202020202040404040404040404080
order1222222244445510101010101010101010101010104420202020202020204444444888820202020202020204040404040404040404040404040404021010101020202020202020202020202044444444444444488882
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-11111-1-1-1-111111-1-1-1-1-1-11
χ411111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1111111-1
χ511111111111111111111111111111111111111-1-111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111-1-111-1-1-1-1-1
χ611111111111111111111111111111111111111-1-111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-111111
χ711111111111111111111111111111111111111-1-11-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111-1-1-1-11111-1
χ811111111111111111111111111111111111111-1-11-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111-1-1-1-11
χ91111111111111111111111111111-1-11111111111-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-11-1-1-1-111-1-11
χ101111111111111111111111111111-1-11111111111-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-111-11111-1-111-1
χ111111111111111111111111111111-1-11111111111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-111-1-1111
χ121111111111111111111111111111-1-11111111111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111111111-1-111111111-111-1-111-1-1-1
χ131111111111111111111111111111-1-111111111-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1111-1-1-1-111-1
χ141111111111111111111111111111-1-111111111-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-11111-1-11
χ151111111111111111111111111111-1-111111111-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111-1-1-1
χ161111111111111111111111111111-1-111111111-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1111
χ17222222222222−1+52−1−52−1+52−1+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+52−1−52−1−5222222222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000000000
χ18222222222222−1+52−1−52−1+52−1+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+52−1−52−1−52222-2-2-2-2-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+522−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+5200000000000000000000
χ19222222222222−1+52−1−52−1+52−1+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+52−1−52−1−52-2-222222-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200000000000000000000
χ20222222222222−1+52−1−52−1+52−1+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+52−1−52−1−52-2-22-2-2-2-22222−1+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+52−1−52−1−52−1−52−1−52-21−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+5200000000000000000000
χ21222222222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222-222-2-2-2-2221−521−521+521+521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52-21−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+5200000000000000000000
χ22222222222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222-2-2-22222-2-21−521−521+521+521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000000000
χ23222222222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-222-2-222-2-21−521−521+521+521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+5200000000000000000000
χ24222222222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-222-2-2221−521−521+521+521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+522−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−5200000000000000000000
χ25222222222222−1−52−1+52−1−52−1−52−1−52−1+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+5222222222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522−1−52−1−52−1+52−1+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
χ26222222222222−1−52−1+52−1−52−1−52−1−52−1+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+52222-2-2-2-2-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−522−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−5200000000000000000000
χ27222222222222−1−52−1+52−1−52−1−52−1−52−1+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+52-2-222222-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52-21+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200000000000000000000
χ28222222222222−1−52−1+52−1−52−1−52−1−52−1+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+52-2-22-2-2-2-22222−1−52−1−52−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−5200000000000000000000
χ29222222222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222-222-2-2-2-2221+521+521−521−521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52-21+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−5200000000000000000000
χ30222222222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222-2-2-22222-2-21+521+521−521−521+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-21+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000000000
χ31222222222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-222-2-222-2-21+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+522−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5200000000000000000000
χ32222222222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-2-222-2-2221+521+521−521−521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−522−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+5200000000000000000000
χ3322222222-2-2-2-2222222222222222222-2-2-2-2-2-2-2-200-200000000-2-2-2-2222200000000000000000000000000000000022-2-2000022-2000000000
χ3422222222-2-2-2-2222222222222222222-2-2-2-2-2-2-2-200-200000000-2-2-2-22222000000000000000000000000000000000-2-2220000-2-22000000000
χ3522222222-2-2-2-22222222222222222-2-2-2-2-2-2-2-2-2-2002000000002222-2-2-2-200000000000000000000000000000000022220000-2-2-2000000000
χ3622222222-2-2-2-22222222222222222-2-2-2-2-2-2-2-2-2-2002000000002222-2-2-2-2000000000000000000000000000000000-2-2-2-20000222000000000
χ37222-2-2-22-22-2-222222-222-2-2-2-2-22-22-2002-22-22-22-200000002i−2i0000000000000000002i2i−2i−2i2i2i−2i−2i00000000000000000000022-2-20002i−2i0000000
χ38222-2-2-22-22-2-222222-222-2-2-2-2-22-22-2002-22-22-22-200000002i−2i0000000000000000002i2i−2i−2i2i2i−2i−2i000000000000000000000-2-222000−2i2i0000000
χ39222-2-2-22-22-2-222222-222-2-2-2-2-22-22-2002-22-22-22-20000000−2i2i000000000000000000−2i−2i2i2i−2i−2i2i2i00000000000000000000022-2-2000−2i2i0000000
χ40222-2-2-22-22-2-222222-222-2-2-2-2-22-22-2002-22-22-22-20000000−2i2i000000000000000000−2i−2i2i2i−2i−2i2i2i000000000000000000000-2-2220002i−2i0000000
χ412-222-22-2-22-22-222-2-2-2-2-2-222-2-22222002-22-2-22-222-20000000000000000000000000000000000000000002-22-2000000002i−2i2i−2i00000002i−2i000
χ422-222-22-2-22-22-222-2-2-2-2-2-222-2-22222002-22-2-22-222-20000000000000000000000000000000000000000002-22-200000000−2i2i−2i2i0000000−2i2i000
χ432-222-22-2-22-22-222-2-2-2-2-2-222-2-22222002-22-2-22-22-22000000000000000000000000000000000000000000-22-22000000002i−2i2i−2i0000000−2i2i000
χ442-222-22-2-22-22-222-2-2-2-2-2-222-2-22222002-22-2-22-22-22000000000000000000000000000000000000000000-22-2200000000−2i2i−2i2i00000002i−2i000
χ452-22-22-2-2222-2-222-2-22-2-22-2-2222-22-2002222-2-2-2-2000002i−2i000000000000000000000000000000000000000002i−2i2i−2i002-22i−2i−2i2i2-20000000000
χ462-22-22-2-2222-2-222-2-22-2-22-2-2222-22-2002222-2-2-2-2000002i−2i000000000000000000000000000000000000000002i−2i2i−2i00-22−2i2i2i−2i-220000000000
χ472-22-22-2-2222-2-222-2-22-2-22-2-2222-22-2002222-2-2-2-200000−2i2i00000000000000000000000000000000000000000−2i2i−2i2i002-2−2i2i2i−2i2-20000000000
χ482-22-22-2-2222-2-222-2-22-2-22-2-2222-22-2002222-2-2-2-200000−2i2i00000000000000000000000000000000000000000−2i2i−2i2i00-222i−2i−2i2i-220000000000
χ492-22-22-2-22-2-22222-2-22-2-22-2-2222-22-200-2-2-2-222220002-2000000000000000000000000000000000002-22-200000000002-20000-220002-200000
χ502-22-22-2-22-2-22222-2-22-2-22-2-2222-22-200-2-2-2-222220002-2000000000000000000000000000000000002-22-20000000000-2200002-2000-2200000
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χ522-22-22-2-22-2-22222-2-22-2-22-2-2222-22-200-2-2-2-22222000-2200000000000000000000000000000000000-22-220000000000-2200002-20002-200000
χ5344444444-4-4-4-4−1+5−1−5−1+5−1+5−1+5−1−5−1−5−1−5−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−5441−51−51+51+51−51−51+51+500-4000000001−51−51+51+5−1+5−1+5−1−5−1−500000000000000000000000000000000000000000000000000000
χ5444444444-4-4-4-4−1+5−1−5−1+5−1+5−1+5−1−5−1−5−1−5−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−5-4-41−51−51+51+51−51−51+51+500400000000−1+5−1+5−1−5−1−51−51−51+51+500000000000000000000000000000000000000000000000000000
χ5544444444-4-4-4-4−1−5−1+5−1−5−1−5−1−5−1+5−1+5−1+5−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+5441+51+51−51−51+51+51−51−500-4000000001+51+51−51−5−1−5−1−5−1+5−1+500000000000000000000000000000000000000000000000000000
χ5644444444-4-4-4-4−1−5−1+5−1−5−1−5−1−5−1+5−1+5−1+5−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+5-4-41+51+51−51−51+51+51−51−500400000000−1−5−1−5−1+5−1+51+51+51−51−500000000000000000000000000000000000000000000000000000
χ57444-4-4-44-44-4-44−1+5−1−5−1+5−1+51−5−1−5−1−51+51−51+51−51+5−1+51−5−1−51+500−1+51−5−1−51+5−1+51−5−1−51+500000004i−4i000000000000000000−2ζ22−2ζ38−2ζ22−2ζ382ζ22+2ζ382ζ22+2ζ38−2ζ6−2ζ14−2ζ6−2ζ142ζ6+2ζ142ζ6+2ζ140000000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.