Finite Group Databasebeta

← Group #13168537

Character table — Group #13168537

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size1111222222222222444444444444466668888888888888888812121212121212121212121212121212181818182424242424242424242424242424242424243636363636363636363654545454727272
order12223336666666663334666666666444436661212121212121212121212121222446666121212121212121244446666661212121212121212121212122444121212121212224461212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111111111-111-1-1-1-1-111-1-1-1-1-1-11
χ31111111111111111111111111111111-1-11111111111111111111-11111111-1-111-1-111-1-1111111-111-111-1-111-1-11-1-1-111-1-1-1-1-1-1-1-11-1-1
χ41111111111111111111111111111111-1-111111111111111111-1-1-11-1-1-1-111-1-111-1-1-1-111-1-1-1-1-1-1-111-111-1-111-1-1-1-1-11-1-111-1-11111-11-1
χ511111111111111111111111111111-1-11111111111111111111111-11111-1-111-1-111-1-1111111111-1-11-1-111-1-111-1-1-11-1-111-1-1-1-1-1-1-11-1
χ611111111111111111111111111111-1-11111111111111111111-1-11-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11-1-11-1-111-1-1111-1-1-111-1-1-1-111111-1-1
χ711111111111111111111111111111-1-1-1-11111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1111111-1-11
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
χ91111111111111111111-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-111-1-111111111-1-111-1111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1111-1-1
χ101111111111111111111-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111111111-1-11-1-1-111-1-1-1-111-1-1-1-111-11-1111-1-11111-1-1-11-1
χ111111111111111111111-111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-111-1-111-1-1-1-1-1-1-1111-1-11-1-111111-1-1-1-11-111-1-1-1-1-1-111-1-1111
χ121111111111111111111-111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111-1-111-1-111111-1-1-1111-1-111111-1-1-1-1-1-11-11111-1-1-1-111-1-11
χ131111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-111-1-1111111-1111-1-1-111-1-1-1-1-11111-1-11-11111-1-111-1-1-1-11
χ141111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-111-1-111-1-1-1-11-1-1-111-111-1-1-1-1-111111-111-1-1-1-1-1-1-1-111111
χ151111111111111111111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-1-1-111-1-1-1111-1-11111-1-11111-1-1-11-1111-1-111-1-111-11-1
χ161111111111111111111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-1-1-1-1-1-1111-1-1-1111111-1-11111-1-111-1-1-1-1111111-1-11-1-1
χ17222222-1-122-122-1222-1-122-1-1-1-12-12-12200-1-1-1-1-122-1-122-1-1-1-1-1-1220222-1-12200-1-10022002-1-1-1-1-10-120-1-100-1-1002000-1-100000000-100
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χ19222222-1-122-122-1222-1-122-1-1-1-12-12-1-2-200-1-1-1-1-122-1-122-1-1-1-1-1-1220-222-1-1-2-2001100-2-2002-1-1-1-1-101-2011001100-20001100000000100
χ20222222-1-122-122-1222-1-122-1-1-1-12-12-1-2-200-1-1-1-1-122-1-122-1-1-1-1-1-1-2-20-2-2-211-2-20011002200-21111101-20110011002000-1-100000000-100
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χ24222222-1-122-122-1222-1-1-22-1-1-1-12-12-1-2-200-1-1-1-11-2-211-2-2111111-2202-2-2-1-1-2-2001100-2-2002111-1-10-1201100-1-10020001100000000-100
χ2522222-1222-122-12-12-12-12-12-1-1-1-12-120022-1-1-1-122-1-1-1-1-122-1-1-1-12220-1-122002200-1-10022-12-1-1-1-1-100200-1-100-1-1000200-1-10000000-10
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χ2722222-1222-122-12-12-12-12-12-1-1-1-12-1200-2-2-1-1-1-122-1-1-1-1-122-1-1-1-122-20-1-12200-2-2001100-2-2-12-1-1-1-1100-200110011000-20011000000010
χ2822222-1222-122-12-12-12-12-12-1-1-1-12-1200-2-2-1-1-1-122-1-1-1-1-122-1-1-1-1-2-2-2011-2-200-2-2001100221-21111100-200110011000200-1-10000000-10
χ2922222-1222-122-12-12-12-1-2-12-1-1-1-12-120022-1-1-1-1-2-211111-2-211112-2-20-1-1-2-2002200-1-1002212-1-111100-2001100-1-1000-200-1-1000000010
χ3022222-1222-122-12-12-12-1-2-12-1-1-1-12-120022-1-1-1-1-2-211111-2-21111-22-201122002200-1-100-2-2-1-211-1-1100-2001100-1-1000200110000000-10
χ3122222-1222-122-12-12-12-1-2-12-1-1-1-12-1200-2-2-1-1-1-1-2-211111-2-211112-220-1-1-2-200-2-2001100-2-212-1-111-100200-1-10011000200110000000-10
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χ332222-1222-122-1222-1-1-122-1-1222-1-1-1-12222-1-1-1-12-1222-1-1-1-1-1-1-1-100220000-1-1-1-12222000000000022-1-1-1-1-1-1-1-1-1-102200000-1-1000000-1
χ342222-1222-122-1222-1-1-122-1-1222-1-1-1-122-2-2-1-1-1-12-1222-1-1-1-1-1-1-1-100-220000-1-11122-2-20000000000-22-11-1-111-1-1110-2-200000110000001
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χ362222-1222-122-1222-1-1-122-1-1222-1-1-1-1-2-2-2-2-1-1-1-12-1222-1-1-1-1-1-1-1-100-2-200001111-2-2-2-20000000000-2-2111111111102200000-1-1000000-1
χ372222-1222-122-1222-1-1-12-2-1-1222-1-1-1-12222-1-1-1-1-21-2-2-21111111100-2-20000-1-1-1-122220000000000-2-211-1-11111-1-102-200000-1-10000001
χ382222-1222-122-1222-1-1-12-2-1-1222-1-1-1-122-2-2-1-1-1-1-21-2-2-211111111002-20000-1-11122-2-200000000002-21-1-1-1-1-111110-220000011000000-1
χ392222-1222-122-1222-1-1-12-2-1-1222-1-1-1-1-2-222-1-1-1-1-21-2-2-21111111100-22000011-1-1-2-2220000000000-22-111111-1-1-1-10-220000011000000-1
χ402222-1222-122-1222-1-1-12-2-1-1222-1-1-1-1-2-2-2-2-1-1-1-1-21-2-2-211111111002200001111-2-2-2-2000000000022-1-111-1-1-1-11102-200000-1-10000001
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χ1028-8-88-48-444-8-4-4-8484-42-404-244-44-2-4200002-2-2200000000000000000000000000000000000000000000000000000000000000000000
χ1038-8-88-4-48-8448-44-8-442-4-40-2444-4-242-400002-2-2200000000000000000000000000000000000000000000000000000000000000000000
χ1048-8-88-4-4-4444-4-444-442220-2-2-2-22-2-2220000-111-10006-60000-333-30000000000000000000000000000000000000000000000000000000
χ1058-8-88-4-4-4444-4-444-442220-2-2-2-22-2-2220000-111-1000-6600003-3-330000000000000000000000000000000000000000000000000000000

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