Finite Group Databasebeta

← Group #13176705

Character table — Group #13176705

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
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order12233333446666633336666666668812121212121212121212121212121212121266661212121224242424242424242424242424242424242424242424242424242224666666666666121212122224224488666128
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11
χ51111111111111111111111111111-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-11
χ61111111111111111111111111111-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1
χ71111111111111111111111111111-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-11111-1-111-1-1-1
χ81111111111111111111111111111-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111-1-1111
χ911-111111-11111111111-1-1-1-1-111111-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11111-1-1-1-11111-1-1-1-11-11-11-11-1111-11-1-1
χ1011-111111-11111111111-1-1-1-1-111111-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11111-1-1-1-11111-1-1-1-1-11-11-11-11-1-1-11-111
χ1111-111111-11111111111-1-1-1-1-111111-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-1-1-111111-11-1-11-11-1-11-11-11
χ1211-111111-11111111111-1-1-1-1-111111-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-1-1-11111-11-111-11-111-11-11-1
χ1311-111111-11111111111-1-1-1-1-11111-11-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-111111-1-1-1-1-1-1-1-111111-1-11-11-11111-1-11-1
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χ33222-1-12-1222-1-12-12-1-12-1-1-12-12-1-12-1-2-2-1-12-12-1-12-12-1-1-1-122-1-1-1-12-1-1-12-111-21-21111-2-21111-21-21111-2-21122-2-2-1-12-1-1-12-111-2111-21000000000000000
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χ35222-1-1-12222-1-1-122-1-1-12-1-1-122-1-1-1222-1-1-122-1-1-122-1-1-1-1-1-122-1-1-12-1-1-12-1-1-122-1-1-1-1-1-122-1-1-122-1-1-1-1-1-1222222-1-1-12-1-1-12-1-1-12-1-1-12000000000000000
χ36222-1-1-12222-1-1-122-1-1-12-1-1-122-1-1-1222-1-1-122-1-1-122-1-1-1-1-1-122-1-1-12-1-1-12-1-1-122-1-1-1-1-1-122-1-1-122-1-1-1-1-1-122-2-2-2-2111-2111-2111-2111-2000000000000000
χ37222-1-1-12222-1-1-122-1-1-12-1-1-122-1-1-12-2-2-1-1-122-1-1-122-1-1-1-1-1-122-1-1-12-1-1-12111-2-2111111-2-2111-2-2111111-2-222-2-2-1-1-12-1-1-12111-2111-2000000000000000
χ38222-1-1-12222-1-1-122-1-1-12-1-1-122-1-1-12-2-2-1-1-122-1-1-122-1-1-1-1-1-122-1-1-12-1-1-12111-2-2111111-2-2111-2-2111111-2-2-2-222111-2111-2-1-1-12-1-1-12000000000000000
χ3922-2222222-2222222222-2-2-2-2-222220022222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222220000000000000000000000000000000000000000000000000022-2-20000000
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χ4122-22222-1-222222-1-1-1-1-1-2-2-2-21-1-1-1-12-2-2-2-2-212222-1-1-1-1-1-1-1-1-1111111112222-1-1-1-1-1-1-1-1-1-2-2-2-2111111111000000000000000000002-22-2000000-11-110
χ4222-22222-1-222222-1-1-1-1-1-2-2-2-21-1-1-1-12-2-2-2-2-212222-1-1-1-1-1-1-1-1-1111111112222-1-1-1-1-1-1-1-1-1-2-2-2-211111111100000000000000000000-22-220000001-11-10
χ4322-22222-1-222222-1-1-1-1-1-2-2-2-21-1-1-1-1-22-2-2-2-212222-1-1-1-1-1-1-1-1-111111111-2-2-2-21111111112222-1-1-1-1-1-1-1-1-1000000000000000000002-2-22000000-111-10
χ4422-22222-1-222222-1-1-1-1-1-2-2-2-21-1-1-1-1-22-2-2-2-212222-1-1-1-1-1-1-1-1-111111111-2-2-2-21111111112222-1-1-1-1-1-1-1-1-100000000000000000000-222-20000001-1-110
χ4522-22-1-1-12-222-1-1-122-1-1-1-2111-22-1-1-12-2-2111-22-1-1-1222-1-1-1-1-1-1-2111-21112-1-1-1222-1-1-1-1-1-1-2111-2-2-21111112-22-22-1-1-1-21112-1-1-1-2111000000000000000
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χ1108-80-48-4-4-4004-84442-42200000-24-2-20000000000006i−6i006i−6i−6i6i000000000000000000000000000000000000000000000000000000000000000000000
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χ1178-80-4-4-48-400444-84222-400000-2-2-24000000000000−6i6i−6i6i6i−6i00000000000000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).