Finite Group Databasebeta

← Group #12159518

Character table — Group #12159518

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110
size111111112222222222222222222244444444448888888888888888888888888888888888816161616161616161616161616161616162020202020202020202040404040404040404080
order1222222244445510101010101010101010101010104420202020202020204444444888820202020202020204040404040404040404040404040404042020202020202020202020202020202022224444442244488882
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111111111-1-1111-1-1-1-1-1
χ411111111111111111111111111111111111111111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111111
χ511111111111111111111111111111111111111-1-1111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1111111-1
χ611111111111111111111111111111111111111-1-1111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-11111-1-1-1-1111111111-1-1-1-1-1-11
χ711111111111111111111111111111111111111-1-11-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-111-1-1-1-11
χ811111111111111111111111111111111111111-1-11-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11-1-11111-1
χ91111111111111111111111111111-1-11111111111-111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11-1-111-1-11
χ101111111111111111111111111111-1-11111111111-111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-111-1-111-1
χ111111111111111111111111111111-1-11111111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1111-1-1-1-111-1
χ121111111111111111111111111111-1-11111111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111-1-11
χ131111111111111111111111111111-1-111111111-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1111111111111-1-1111111-1-1-111-1-1-1
χ141111111111111111111111111111-1-111111111-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1111-1-1111
χ151111111111111111111111111111-1-111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1111
χ161111111111111111111111111111-1-111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111111-1-1-1
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+52−1−52222-2-222-2-2-2-2−1+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+52-2−1+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+52−1−52-2-2222-2-2-2-2-2-2−1+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+5221−521−521+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+52−1−5222-222-2-222-2-21−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−5200000000000000000000
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+52−1−5222-2-2-2-2-2-2-2221−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+5200000000000000000000
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+52−1−52-2-2-22222-2-2221−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000000000
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+52−1−52-2-2-2-2-22222-2-21−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+5221−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+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+52222-2-222-2-2-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52-2−1−52−1−52−1+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+52-2-2222-2-2-2-2-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−5221+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+5222-222-2-222-2-21+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+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+5222-2-2-2-2-2-2-2221+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+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
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+52-2-2-22222-2-2221+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+52-21+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000000000
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+52-2-2-2-2-22222-2-21+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−5221+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−5200000000000000000000
χ3322222222-2-2-2-2222222222222222222-2-2-2-2-2-2-2-200-20000000022-2-222-2-2000000000000000000000000000000000000022-2-22200-20000000
χ3422222222-2-2-2-2222222222222222222-2-2-2-2-2-2-2-200-20000000022-2-222-2-20000000000000000000000000000000000000-2-222-2-20020000000
χ3522222222-2-2-2-22222222222222222-2-2-2-2-2-2-2-2-2-200200000000-2-222-2-22200000000000000000000000000000000000002222-2-200-20000000
χ3622222222-2-2-2-22222222222222222-2-2-2-2-2-2-2-2-2-200200000000-2-222-2-2220000000000000000000000000000000000000-2-2-2-2220020000000
χ372222-2-2-2-2-222-2222-22-2222-22-2-2-2-2-2002-2-22-2-2220002i−2i00000000000000000000000000000000000000000002i−2i2i−2i22-2-2000000000002i−2i000
χ382222-2-2-2-2-222-2222-22-2222-22-2-2-2-2-2002-2-22-2-2220002i−2i00000000000000000000000000000000000000000002i−2i2i−2i-2-22200000000000−2i2i000
χ392222-2-2-2-2-222-2222-22-2222-22-2-2-2-2-2002-2-22-2-222000−2i2i0000000000000000000000000000000000000000000−2i2i−2i2i22-2-200000000000−2i2i000
χ402222-2-2-2-2-222-2222-22-2222-22-2-2-2-2-2002-2-22-2-222000−2i2i0000000000000000000000000000000000000000000−2i2i−2i2i-2-222000000000002i−2i000
χ412-22-222-2-222-2-222-22-2222-22-22-2-2-2-200-22-2-22-222000002i−2i00000000000000000000000000000000000002i−2i2i−2i00002-22-2002i−2i2i−2i0000000000
χ422-22-222-2-222-2-222-22-2222-22-22-2-2-2-200-22-2-22-222000002i−2i00000000000000000000000000000000000002i−2i2i−2i0000-22-2200−2i2i−2i2i0000000000
χ432-22-222-2-222-2-222-22-2222-22-22-2-2-2-200-22-2-22-22200000−2i2i0000000000000000000000000000000000000−2i2i−2i2i00002-22-200−2i2i−2i2i0000000000
χ442-22-222-2-222-2-222-22-2222-22-22-2-2-2-200-22-2-22-22200000−2i2i0000000000000000000000000000000000000−2i2i−2i2i0000-22-22002i−2i2i−2i0000000000
χ452-22-222-2-2-2-22222-22-2222-22-22-2-2-2-2002-222-22-2-22-200000000000000000000000000000000002-22-20000000000000000002i−2i−2i2i0002i−2i00000
χ462-22-222-2-2-2-22222-22-2222-22-22-2-2-2-2002-222-22-2-22-200000000000000000000000000000000002-22-2000000000000000000−2i2i2i−2i000−2i2i00000
χ472-22-222-2-2-2-22222-22-2222-22-22-2-2-2-2002-222-22-2-2-220000000000000000000000000000000000-22-220000000000000000002i−2i−2i2i000−2i2i00000
χ482-22-222-2-2-2-22222-22-2222-22-22-2-2-2-2002-222-22-2-2-220000000000000000000000000000000000-22-22000000000000000000−2i2i2i−2i0002i−2i00000
χ492-22-2-2-222-22-2222-2-2-2-222-2-2-2-2222200-2-22-2-22220000000002-2000000000000000022-2-222-2-2000000000000000002-2-220000002-200000000
χ502-22-2-2-222-22-2222-2-2-2-222-2-2-2-2222200-2-22-2-22220000000002-2000000000000000022-2-222-2-200000000000000000-222-2000000-2200000000
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χ522-22-2-2-222-22-2222-2-2-2-222-2-2-2-2222200-2-22-2-2222000000000-220000000000000000-2-222-2-22200000000000000000-222-20000002-200000000
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+500-400000000−1+5−1+51−51−5−1−5−1−51+51+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+5004000000001−51−5−1+5−1+51+51+5−1−5−1−500000000000000000000000000000000000000000000000000000
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+51−500-400000000−1−5−1−51+51+5−1+5−1+51−51−500000000000000000000000000000000000000000000000000000
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+51−5004000000001+51+5−1−5−1−51−51−5−1+5−1+500000000000000000000000000000000000000000000000000000
χ574444-4-4-4-44-4-44444-44-4444-44-4-4-4-4-400-444-444-4-4000000000000000000000000000000000000000000000000000000000000000000000000
χ584444-4-4-4-44-4-44−1+5−1−5−1+51−5−1−51+5−1+5−1−5−1+51−5−1−51+51−51−51+51+5001−5−1+5−1+51+5−1−5−1−51−51+500000000000000000000000000000000000000002ζ12−2ζ28−2ζ12+2ζ28−2ζ4+2ζ362ζ4−2ζ360000000000000000000000000000
χ594444-4-4-4-44-4-44−1+5−1−5−1+51−5−1−51+5−1+5−1−5−1+51−5−1−51+51−51−51+51+5001−5−1+5−1+51+5−1−5−1−51−51+50000000000000000000000000000000000000000−2ζ12+2ζ282ζ12−2ζ282ζ4−2ζ36−2ζ4+2ζ360000000000000000000000000000
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Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.