Finite Group Databasebeta

← Group #12128178

Character table — Group #12128178

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size111111112222222222222222222244444444444488888888888888888888888888888888888810101010101010101616161616161616161616161616161620202020404040404040404040404040
order1222222244445510101010101010101010101010108888202020202020202024444444448810101010202020204040404040404040404040404040404022224444202020202020202020202020202020208888244444444488
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-11-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-11-1-1-1-111
χ411111111111111111111111111111111111111111-1-11-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11111-1-1
χ51111111111111111111111111111111111111111-111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-11111-11111-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111111-111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-11111111
χ71111111111111111111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11111-1-1
χ81111111111111111111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-111
χ91111111111111111111111111111-1-1-1-1111111111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111-1-11-1-111-1-1
χ101111111111111111111111111111-1-1-1-1111111111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-111-111-1-111
χ111111111111111111111111111111-1-1-1-1111111111-1-111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-111111-1-1-1-1
χ121111111111111111111111111111-1-1-1-1111111111-1-111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-111-1-1-1-1-11111
χ131111111111111111111111111111-1-1-1-111111111-111-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-111
χ141111111111111111111111111111-1-1-1-111111111-111-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-1111-1-111-1-1
χ151111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-111-1-1-11111
χ161111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1111-1-1-1-1
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+52−1−522222−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200000000−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000
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+52−1−522222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522-2-22-2-2-2-2-2-222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000001−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+520000000000000000
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+52−1−522222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-222-2-2-222-2-2-2-21−521−521+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+5200000000−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+520000000000000000
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+52−1−522222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-222-2-222-2-21−521−521+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+52000000001−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000000000000000
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+52−1−52-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522222-2-2-2-222-2-2−1+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+5200000000−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−520000000000000000
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+52−1−52-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522-2-222222-2-2-2-2−1+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+52000000001−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+520000000000000000
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+52−1−52-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-222-222-2-2-2-2221−521−521+521+521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200000000−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+520000000000000000
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+52−1−52-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-2-22222221−521−521+521+521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000001−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000
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+522222−1−52−1−52−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200000000−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000
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+522222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522-2-22-2-2-2-2-2-222−1−52−1−52−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000000001+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−520000000000000000
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+522222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-222-2-2-222-2-2-2-21+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+521−521−521−521−5200000000−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−520000000000000000
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+522222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-222-2-222-2-21+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+521−521−521−521−52000000001+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+520000000000000000
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+52-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522222-2-2-2-222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−5200000000−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+520000000000000000
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+52-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522-2-222222-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52000000001+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−520000000000000000
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+52-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-222-222-2-2-2-2221+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+5200000000−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−520000000000000000
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+52-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-2-2-22222221+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+52000000001+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000
χ3322222222-2-2-2-222222222222222220000-2-2-2-2-2-2-2-2200-2000000002222-2-2-2-200000000000000002222-2-2-2-200000000000000000000-200002000000
χ3422222222-2-2-2-222222222222222220000-2-2-2-2-2-2-2-2200-2000000002222-2-2-2-20000000000000000-2-2-2-222220000000000000000000020000-2000000
χ3522222222-2-2-2-222222222222222220000-2-2-2-2-2-2-2-2-200200000000-2-2-2-2222200000000000000002222-2-2-2-20000000000000000000020000-2000000
χ3622222222-2-2-2-222222222222222220000-2-2-2-2-2-2-2-2-200200000000-2-2-2-222220000000000000000-2-2-2-2222200000000000000000000-200002000000
χ3722-2-2-222-22-22-2222-2-22-2-222-222-2-2-200002-22-22-22-202i−2i00000000000000000000000000000000022-2-222-2-22i−2i2i−2i000000000000000002i−2i000000000
χ3822-2-2-222-22-22-2222-2-22-2-222-222-2-2-200002-22-22-22-202i−2i000000000000000000000000000000000-2-222-2-2222i−2i2i−2i00000000000000000−2i2i000000000
χ3922-2-2-222-22-22-2222-2-22-2-222-222-2-2-200002-22-22-22-20−2i2i00000000000000000000000000000000022-2-222-2-2−2i2i−2i2i00000000000000000−2i2i000000000
χ4022-2-2-222-22-22-2222-2-22-2-222-222-2-2-200002-22-22-22-20−2i2i000000000000000000000000000000000-2-222-2-222−2i2i−2i2i000000000000000002i−2i000000000
χ4122-2-2-222-2-22-22222-2-22-2-222-222-2-2-20000-22-22-22-22000000002i−2i0000000000000000000000000022-2-2-2-2220000000000002i−2i2i−2i0000000000002i−2i00
χ4222-2-2-222-2-22-22222-2-22-2-222-222-2-2-20000-22-22-22-22000000002i−2i00000000000000000000000000-2-22222-2-20000000000002i−2i2i−2i000000000000−2i2i00
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χ452-222-22-2-22-2-2222-22-2-22-22-222-22-2-200002-22-2-22-220000002i−2i00000000000000000000000000002-22-22-22-2000000002i−2i2i−2i000000000002i−2i0000000
χ462-222-22-2-22-2-2222-22-2-22-22-222-22-2-200002-22-2-22-220000002i−2i0000000000000000000000000000-22-22-22-22000000002i−2i2i−2i00000000000−2i2i0000000
χ472-222-22-2-22-2-2222-22-2-22-22-222-22-2-200002-22-2-22-22000000−2i2i00000000000000000000000000002-22-22-22-200000000−2i2i−2i2i00000000000−2i2i0000000
χ482-222-22-2-22-2-2222-22-2-22-22-222-22-2-200002-22-2-22-22000000−2i2i0000000000000000000000000000-22-22-22-2200000000−2i2i−2i2i000000000002i−2i0000000
χ492-222-22-2-2-222-222-22-2-22-22-222-22-2-20000-22-222-22-200002i−2i0000000000000000000000000000002-22-2-22-2200002i−2i2i−2i0000000000000000002i−2i0000
χ502-222-22-2-2-222-222-22-2-22-22-222-22-2-20000-22-222-22-200002i−2i000000000000000000000000000000-22-222-22-200002i−2i2i−2i000000000000000000−2i2i0000
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χ542-2-2-222-2222-2-222-2-22-2-222-2-22-2-2222i2i−2i−2i2222-2-2-2-2000000000000000000002i2i−2i−2i2i2i−2i−2i00000000-222-2-222-20000000000000000−2i−2i2i2i000000000000
χ552-2-2-222-2222-2-222-2-22-2-222-2-22-2-222−2i−2i2i2i2222-2-2-2-200000000000000000000−2i−2i2i2i−2i−2i2i2i000000002-2-222-2-220000000000000000−2i−2i2i2i000000000000
χ562-2-2-222-2222-2-222-2-22-2-222-2-22-2-222−2i−2i2i2i2222-2-2-2-200000000000000000000−2i−2i2i2i−2i−2i2i2i00000000-222-2-222-200000000000000002i2i−2i−2i000000000000
χ572-2-2-222-22-2-22222-2-22-2-222-2-22-2-2220000-2-2-2-2222200000000002-2000000000000000022-2-222-2-22-2-22-222-20000000000000000000000000000002-2
χ582-2-2-222-22-2-22222-2-22-2-222-2-22-2-2220000-2-2-2-2222200000000002-2000000000000000022-2-222-2-2-222-22-2-22000000000000000000000000000000-22
χ592-2-2-222-22-2-22222-2-22-2-222-2-22-2-2220000-2-2-2-222220000000000-220000000000000000-2-222-2-2222-2-22-222-2000000000000000000000000000000-22
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χ1084-4-4-444-4444-4-4−1−5−1+51+51+5−1−51−51−5−1+5−1−51+51+5−1+51−51−5−1−5−1+5−4i−4i4i4i−1−5−1−5−1+5−1+51+51+51−51−5000000000000000000002ζ6+2ζ142ζ6+2ζ14−2ζ6−2ζ14−2ζ6−2ζ142ζ22+2ζ382ζ22+2ζ38−2ζ22−2ζ38−2ζ22−2ζ38000000000000000000000000000000000000000000000000
χ1094-4-4-444-44-4-444−1+5−1−51−51−5−1+51+51+5−1−5−1+51−51−5−1−51+51+5−1+5−1−500001−51−51+51+5−1+5−1+5−1−5−1−500000000004-40000000000000000−1+5−1+51−51−5−1−5−1−51+51+50000000000000000000000000000000000000000
χ1104-4-4-444-44-4-444−1+5−1−51−51−5−1+51+51+5−1−5−1+51−51−5−1−51+51+5−1+5−1−500001−51−51+51+5−1+5−1+5−1−5−1−50000000000-4400000000000000001−51−5−1+5−1+51+51+5−1−5−1−50000000000000000000000000000000000000000
χ1114-4-4-444-44-4-444−1−5−1+51+51+5−1−51−51−5−1+5−1−51+51+5−1+51−51−5−1−5−1+500001+51+51−51−5−1−5−1−5−1+5−1+500000000004-40000000000000000−1−5−1−51+51+5−1+5−1+51−51−50000000000000000000000000000000000000000
χ1124-4-4-444-44-4-444−1−5−1+51+51+5−1−51−51−5−1+5−1−51+51+5−1+51−51−5−1−5−1+500001+51+51−51−5−1−5−1−5−1+5−1+50000000000-4400000000000000001+51+5−1−5−1−51−51−5−1+5−1+50000000000000000000000000000000000000000
χ113888-88-8-8-80000−2+25−2−25−2+252−25−2+25−2−252+25−2−252−252−25−2+252+252+25−2−252−252+250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ114888-88-8-8-80000−2−25−2+25−2−252+25−2−25−2+252−25−2+252+252+25−2−252−252−25−2+252+252−250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1158-8-888-88-80000−2+25−2−252−25−2+25−2+252+25−2−25−2−252−25−2+252−252+25−2−252+252−252+250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1168-8-888-88-80000−2−25−2+252+25−2−25−2−252−25−2+25−2+252+25−2−252+252−25−2+252−252+252−250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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