Finite Group Databasebeta

← Group #13156011

Character table — Group #13156011

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size11112222222222222222224444444444444444444444448888888888121212121212121212121212121212121212121212121212121212121212121212121212181824242424242424242436363636363636363672727272216
order12223334466666666612121212333666666666121212121212121212121212366612121212121288882424242424242424242424242424242424242424242424242424242424242424444121212121212121222444121212126612124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-111-1-1-1
χ41111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111
χ511111111111111111111111111111111111111111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1111111111-1-1-111-1-1-1-1-1-111-1
χ611111111111111111111111111111111111111111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-11
χ711111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-11-1-11111-1-1-1-11
χ811111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11111111111111-1
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χ11222222-1222-1-122-122222222-1-122-1-1-1-12-1-12-122-1-12-122-1-1-1-1-1-1-1-1-1-1-1-1220022220000-1-1-1-1-1-1-1-1-1-1-1-100000000000000222-1-1-1-1-1-1220000000-1-1000
χ12222222-1222-1-122-122222222-1-122-1-1-1-12-1-12-122-1-12-122-1-1-1-1-1-1-1-1-1-1-1-1220022220000-1-1-1-1-1-1-1-1-1-1-1-100000000000000-2-2-2111111-2-2000000011000
χ13222222-1222-1-122-122222222-1-122-1-1-1-12-1-12-122-1-12-122-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-2-2-2000011111111111100000000000000222-1-1-1-1-1-1-2-2000000011000
χ14222222-1222-1-122-122222222-1-122-1-1-1-12-1-12-122-1-12-122-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-2-2-2000011111111111100000000000000-2-2-2111111220000000-1-1000
χ1522222-1222222-122-1-12-1-1-1-1-12-1-1-122-1-1-1-1222-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12200000000000200-1-1-1-100000
χ1622222-1222222-122-1-12-1-1-1-1-12-1-1-122-1-1-1-1222-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-122-2-2-1-1-1-111112222-1-1-1-1-1-1-1-1-2-2-2-211111111-2-200000000000-200111100000
χ1722222-1222222-122-1-12-1-1-1-1-12-1-1-122-1-1-1-1222-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-2-2221111-1-1-1-1-2-2-2-2111111112222-1-1-1-1-1-1-1-1-2-200000000000-200111100000
χ1822222-1222222-122-1-12-1-1-1-1-12-1-1-122-1-1-1-1222-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-211111111-2-2-2-211111111-2-2-2-2111111112200000000000200-1-1-1-100000
χ1922222-12-2-2222-122-1-121111-12-1-1-122-1-1-1-12-2-21111-2-21111-1-1-1-1-2-21111000033−3−333−3−300003333−3−3−3−300003333−3−3−3−32200000000000-200-1-11100000
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χ262222-12222-1222-1222-12222-1-12-1-1-1-122-12-1-12-1-122-12-1-122-1-1-1-1-1-1-1-1-1-100-2-20000-2-2-2-200000000000011111111111100-211-2-2111100022000000-1-10
χ272-22-222200-22-2-2-2-22-2200002222-22-22-2-2-2-200000000000022-2-2000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i22-2000000000000002-20000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.