Finite Group Databasebeta

← Group #13172085

Character table — Group #13172085

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size1111222222222222444444444444466668888888888888888812121212121212121212121212121212181818182424242424242424242424242424242424243636363636363636363654545454727272
order12223336666666662333666666666444436666666666666666224466121212121212121212124444666666612121212121212121212122444121212121212444461212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111-11-1-1-11111-1-11111-1-1-1-111-111-1-111-1111111-1-1-111-111-1-1-1-1-1-1-1-1-1-11
χ31111111111111111111111111111111-1-11111111111111111111-111111-1-11111-1-111-1-11111111-1-1111-1-1-1-1111-1-1-1-1-111-1-1-1-1-1-11-1-1
χ41111111111111111111111111111111-1-1111111111111111111-1-1-1-1-111-1-1-1-111-1-1-1-11111-111-1-1-1-1-111-1-1-1-1-1-1-1-1-11-1-1-1-1111111-11-1
χ511111111111111111111111111111-1-11111111111111111111-111111-1-11111-1-111-1-111-1-11-1-111111-1-1111111-1-1-11-1-1-1-111-1-1-1-1-11-1
χ611111111111111111111111111111-1-11111111111111111111-1-11-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-11111-1-11-1-1-1-1-111-1-111111-1-1
χ711111111111111111111111111111-1-1-1-111111111111111111-11-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1-111-1-11-1-1-1-1-1-111-111-111-1-1-1-11111-1-11
χ811111111111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111
χ91111111111111111-111111111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-1-11-1-1111111-1-11111-1-111-1-11-1-111-1-1-11111-1-1-1-11-11-111-1-11111-1-11-1-1
χ101111111111111111-111111111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-11-1-1111111111111-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-1111111-1-1-1-111-11-1
χ111111111111111111-111111111111111-1-11-1-1-1-1-1-1-1-1-1111-1-1-1-1-111-11111-1-1-1-111-1-1-1-1-1-1-1-11-1-11111-111-1-111-1-111-11-1-1-1-1-1-1-1-111111
χ121111111111111111-111111111111111-1-11-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-111-1-111-1-11111-1-11111-1-1-1-1-1-1-111111-1-11111-11-1-1-1-1111111-1-1-1-11
χ131111111111111111-1111111111111-1-1111-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-111-1-111-1-1-1-11111111111111-1-1-1-1-111-1-1-1-1-11-1-1-1-11111-1-111-1-11
χ141111111111111111-1111111111111-1-1111-1-1-1-1-1-1-1-1-1111-1-1-1-11-1-11-1-1-1-11111-1-111-1-1-1-111-111-1-1-1-11-1-111-1-11111-11-1-1-1-1-1-111-1-1111
χ151111111111111111-1111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1111-1-1-1-1111-111-1-1-1-1-1-1-1-1-1-111-1-1111111111-1-1-1-1-111-1-1-1-1111111-1-111-1-1-11-1
χ161111111111111111-1111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1111-1-1-1-11-111-1-1-1-1-1-111-1-1-1-1-1-11111-111-1-1111-1-1-1-111111-11-111-1-111-1-1111-1-1
χ17222222-122-1-122-12222-1-12-1-1-1-122-1-12200-122-122-1-1-1-1-1-1-1-1-1-1-1220222-1-100-1-1220022002-1-1-1-1-1-1002-1-10000-1-1200000-1-1000000-100
χ18222222-122-1-122-12222-1-12-1-1-1-122-1-12200-122-122-1-1-1-1-1-1-1-1-1-1-12-20-2-2-2-1-100112200-2-2002-11-1-11100-2-1-1000011-20000011000000100
χ19222222-122-1-122-12222-1-12-1-1-1-122-1-1-2-200-122-122-1-1-1-1-1-1-1-1-1-1-1-2202221100-1-1-2-200-2-200-21-111-1-1002110000-1-1-20000011000000100
χ20222222-122-1-122-12222-1-12-1-1-1-122-1-1-2-200-122-122-1-1-1-1-1-1-1-1-1-1-1-2-20-2-2-2110011-2-2002200-211111100-211000011200000-1-1000000-100
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χ24222222-122-1-122-122-22-1-12-1-1-1-122-1-1-2-200-1-2-21-2-21111-1-1-111112-202-2-21100-1-1-2-200-2-2002-11-1-111002110000-1-120000011000000-100
χ2522222-122-1222-122-12-12-1-122-1-1-1-12-10022-12-12-1-122-1-1-1-1-1-1-1-1-10222-1-100222200-1-1002200200-1-1-12-100-1-1-1-1-1-100020000-1-100000-10
χ2622222-122-1222-122-12-12-1-122-1-1-1-12-10022-12-12-1-122-1-1-1-1-1-1-1-1-10-22-2110022-2-200-1-100-2-200-20011-12100-1-1-1-111000-20000110000010
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χ2822222-122-1222-122-12-12-1-122-1-1-1-12-100-2-2-12-12-1-122-1-1-1-1-1-1-1-1-10-2-2-21100-2-2-2-20011002200-200111-210011111100020000-1-100000-10
χ2922222-122-1222-122-1-2-12-1-122-1-1-1-12-10022-1-21-211-2-211-1-1-1111102-2-2-1-10022-2-200-1-1002200200-1-11-2100-1-11111000-20000-1-10000010
χ3022222-122-1222-122-1-2-12-1-122-1-1-1-12-10022-1-21-211-2-211-1-1-111110-2-221100222200-1-100-2-200-200111-2-100-1-111-1-1000200001100000-10
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χ332222-122-1222-122-122-1-12-1-1-122-1-1-122222-1-122-1-1-1-122-1-1-1-1-1-1-120200022-1-100-1-1220000-120-1-1002-10-1-1-1-1-1-1000220-1-10000000000-1
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χ362222-122-1222-122-122-1-12-1-1-122-1-1-12-2-2-2-2-1-122-1-1-1-122-1-1-1-1-1-1-1-20-2000-2-2110011-2-200001-201100-210111111000220-1-10000000000-1
χ372222-122-1222-122-12-2-1-12-1-1-122-1-1-122222-11-2-21111-2-2-1-1-11111-20-200022-1-100-1-12200001-201100-210-1-1-1-111000-220-1-100000000001
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χ1038-8-88-4-48-44-8844-84-402-4-4-24-444-224-400002000000000-2-2200000000000000000000000000000000000000000000000000000000000
χ1048-8-88-4-4-4-444-44444-40222-2-22-2-2-22-220000-100000006-611-1-333-30000000000000000000000000000000000000000000000000000000
χ1058-8-88-4-4-4-444-44444-40222-2-22-2-2-22-220000-10000000-6611-13-3-330000000000000000000000000000000000000000000000000000000

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