Finite Group Databasebeta

← Group #72341874

Character table — Group #72341874

Order 1536.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88
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χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
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χ4111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111
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χ71-11-11-1−i−iii111-1-1-1111-1-1-111-1-111111-1-1-1-1-1−i−i−i−i−i−i−i−i−i−iiiiiiiiiii1-1-1111-1-1−i−i−i−iiiii1-1−ii111-1-1-1−i−i−iiii
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χ836-6-660032−32−3232-622-6226-2-26-2-2-222-2000000000032−2−2−2−2−322222−32222232−2−2−2−200000000000000000000000000000000
χ846-6-6600−323232−32222222-2-2-2-2-2-22-2-220004i−4i000−4i4i222−ζ5−3ζ7−ζ13−3ζ233ζ5+ζ7+3ζ13+ζ23−2−2−2ζ5+3ζ7+ζ13+3ζ23−3ζ5−ζ7−3ζ13−ζ23−2−2−2ζ5+3ζ7+ζ13+3ζ23−3ζ5−ζ7−3ζ13−ζ23222−ζ5−3ζ7−ζ13−3ζ233ζ5+ζ7+3ζ13+ζ2300000000000000000000000000000000
χ856-6-6600−323232−32222222-2-2-2-2-2-22-2-22000−4i4i0004i−4i2223ζ5+ζ7+3ζ13+ζ23−ζ5−3ζ7−ζ13−3ζ23−2−2−2−3ζ5−ζ7−3ζ13−ζ23ζ5+3ζ7+ζ13+3ζ23−2−2−2−3ζ5−ζ7−3ζ13−ζ23ζ5+3ζ7+ζ13+3ζ232223ζ5+ζ7+3ζ13+ζ23−ζ5−3ζ7−ζ13−3ζ2300000000000000000000000000000000
χ866-6-6600−323232−3222-622-6-2-26-2-26-222-2000000000022−3222−2−232−2−2−2−232−2−222−322200000000000000000000000000000000
χ876-6-6600−323232−322-622-62-26-2-26-2-222-200000000002−32222−232−2−2−2−232−2−2−22−3222200000000000000000000000000000000
χ886-6-6600−323232−32-622-6226-2-26-2-2-222-20000000000−32222232−2−2−2−232−2−2−2−2−32222200000000000000000000000000000000

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