Finite Group Databasebeta

← Group #13144443

Character table — Group #13144443

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137
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order12223366666644441212121212121212444441212121212121212121233336666666666661212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121288882424242424242424226666
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1
χ41111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111-1-111-1-1-1-11111-111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11-111-1-1
χ6111111111111-1-111-1-1-1-11111-111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-11-1-111
χ7111111111111-1-111-1-1-1-11111-1-1-111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-11111-1-1-1-1-11-1-111
χ8111111111111-1-111-1-1-1-11111-1-1-111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-1-1-111111-111-1-1
χ92222222222222222222222222222222222222222-1-1-12-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000
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χ132222222222222222222222222-2-2-2-222-2-2-2-2-2-2-2-22-1-1-12-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-2111111111111000000000000000000
χ142222222222222222222222222-2-2-2-222-2-2-2-2-2-2-2-2-12-1-1-12-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-11111-2-2-2-2111111111111-2-2-2-211111111000000000000000000
χ152222222222222222222222222-2-2-2-222-2-2-2-2-2-2-2-2-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-111111111-2-2-2-2111111111111-2-2-2-21111000000000000000000
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χ1722222222222222-2-22222-2-2-2-2-20000-2-20000000022222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000
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χ1922222222222222-2-22222-2-2-2-2-20000-2-2000000002-1-1-12-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2111111-2-21111110000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i30000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3000000000000000000
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χ2122222222222222-2-22222-2-2-2-2-20000-2-200000000-12-1-1-12-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-111-2-2111111-2-21111i3i3−i3−i30000i3i3−i3−i3−i3−i3i3i3i3i3−i3−i30000i3i3−i3−i3−i3−i3i3i3000000000000000000
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χ30222222222222-2-222-2-2-2-22222-2-2-222-2-2-2-2-2-222222-1-1-12-1-1-122-1-1-1-1-1-1-2-2-2-211111111111122-1-1-1-1-1-1-2-2111111-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000
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χ34222222222222-2-2-2-2-2-2-2-2-2-2-2-22000022000000002222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222200000000000000000000000000000000000000000000000000
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χ12266-6-6−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i3-66003+3i33−3i3−3−3i3−3+3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000−i2i2i2−i2ζ7+ζ13ζ5+ζ23−ζ7−ζ13−ζ5−ζ23−ζ7−ζ13−ζ5−ζ23ζ7+ζ13ζ5+ζ23000000
χ12366-6-6−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i3-66003+3i33−3i3−3−3i3−3+3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000i2−i2−i2i2−ζ7−ζ13−ζ5−ζ23ζ7+ζ13ζ5+ζ23ζ7+ζ13ζ5+ζ23−ζ7−ζ13−ζ5−ζ23000000
χ12466-6-6−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i36-600−3+3i3−3−3i33−3i33+3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000−i2i2−i2i2ζ5+ζ23ζ7+ζ13−ζ5−ζ23−ζ7−ζ13ζ5+ζ23ζ7+ζ13−ζ5−ζ23−ζ7−ζ13000000
χ12566-6-6−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i36-600−3+3i3−3−3i33−3i33+3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000i2−i2i2−i2−ζ5−ζ23−ζ7−ζ13ζ5+ζ23ζ7+ζ13−ζ5−ζ23−ζ7−ζ13ζ5+ζ23ζ7+ζ13000000
χ12666-6-6−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i3-66003−3i33+3i3−3+3i3−3−3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000−i2i2i2−i2ζ5+ζ23ζ7+ζ13−ζ5−ζ23−ζ7−ζ13−ζ5−ζ23−ζ7−ζ13ζ5+ζ23ζ7+ζ13000000
χ12766-6-6−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i3-66003−3i33+3i3−3+3i3−3−3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000i2−i2−i2i2−ζ5−ζ23−ζ7−ζ13ζ5+ζ23ζ7+ζ13ζ5+ζ23ζ7+ζ13−ζ5−ζ23−ζ7−ζ13000000
χ1286-66-6−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i3006-60000−3−3i3−3+3i33+3i33−3i30006i−6i0000006ζ226ζ14−6ζ22−6ζ1400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1296-66-6−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i3006-60000−3−3i3−3+3i33+3i33−3i3000−6i6i000000−6ζ22−6ζ146ζ226ζ1400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1306-66-6−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i300-6600003+3i33−3i3−3−3i3−3+3i306-60000−3−3i3−3+3i33+3i33−3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1316-66-6−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i300-6600003+3i33−3i3−3−3i3−3+3i30-6600003+3i33−3i3−3−3i3−3+3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1326-66-6−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i3006-60000−3+3i3−3−3i33−3i33+3i30006i−6i0000006ζ146ζ22−6ζ14−6ζ2200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1336-66-6−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i3006-60000−3+3i3−3−3i33−3i33+3i3000−6i6i000000−6ζ14−6ζ226ζ146ζ2200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1346-66-6−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i300-6600003−3i33+3i3−3+3i3−3−3i306-60000−3+3i3−3−3i33−3i33+3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1356-66-6−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i300-6600003−3i33+3i3−3+3i3−3−3i30-6600003−3i33+3i3−3+3i3−3−3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13612-12-1212−6−6i3−6+6i36+6i36−6i36+6i36−6i3−6−6i3−6+6i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13712-12-1212−6+6i3−6−6i36−6i36+6i36−6i36+6i3−6+6i3−6−6i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.