Finite Group Databasebeta

← Group #13172073

Character table — Group #13172073

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size1111222222222222444444444444466668888888888888888812121212121212121212121212121212181818182424242424242424242424242424242424243636363636363636363654545454727272
order122233366666666623336666666662244366666666666666662444666666121212121212444466666121212121212121212121212122444121212121212444461212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-111-1-1-1111111-1-111-1-1-1-1-111-1-11111-1111111-1-11-11-111-1-1-1-1-1-1-1-11-1-1
χ31111111111111111111111111111111-1-11111111111111111111-11111111-1-111-1-111-1-111111-11-11111-1-1-1-111-11-1-1-1-111-1-1-1-1-1-1-1-11
χ41111111111111111111111111111111-1-111111111111111111-11-1-1-1-11111-1-1-1-1-1-1-1-111-111-1-1-11-11-111-1-1-1-1-1-1-1-1-11-1-1-1-1111111-11-1
χ511111111111111111111111111111-1-111111111111111111111-11111-1-1-1-1111111-1-1111-1-1111-11-11-1-1111111-1-1-11-1-1-1-111-1-1-1-1-11-1
χ611111111111111111111111111111-1-11111111111111111111-1-11-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-11-11-1-1-1-11111-1-1-11-1-1-1-111-1-11111-1-11
χ711111111111111111111111111111-1-1-1-1111111111111111111-1-1111-1-1-1-1-1-111-1-1-1-1-1-11-1-111-1-1-1-11-1-1-1-1-1-1111-11-111-1-1-1-111111-1-1
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
χ91111111111111111-111111111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-11-1-1-111111111-1-111-1-11111111-1-1-1-1-1-1-111-1-1-1-1-111-111-1-11111-1-1-1-11
χ101111111111111111-111111111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-11-1-1111111111111-1-1-111-1-1-1-1-1-11-1-111-1-111-1-1111111-1-1-1-111-11-1
χ111111111111111111-111111111111111-1-11-1-1-1-1-1-1-1-1-1111-1-1-1-11-11-1111111-1-1-1-1-1-1-1-1-1-1111111-11-1-1-1-1-1-111-1-111-11-1-1-1-1-1-1-1-111111
χ121111111111111111-111111111111111-1-11-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-111-1-11111-1-111-1-11111-111-1-11-11-11-1-1-1-111111-1-1-1-1-1111111-1-11-1-1
χ131111111111111111-1111111111111-1-1111-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-111-1-1-1-111-1-11111111-1-111-11-11-11111-1-1-1-11-1-1-1-1-11111-1-1111-1-1
χ141111111111111111-1111111111111-1-1111-1-1-1-1-1-1-1-1-1111-1-1-1-1-11-11-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11-1111111-1-11111-11-1-1-1-1-1-111-1-1111
χ151111111111111111-1111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1111-1-1-1-1111-111-1-1-1-1-1-1-1-1-1-111-1-11-1-1111111-111-1-111-1-1-1-1111111-1-111-1-1-11-1
χ161111111111111111-1111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1111-1-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-11111111-1-11111-111-111-1-111-1-111-1-11
χ17222222-12-12-1222-122-12-1-122-1-1-1-12-12222-122-1-1-122-1-1-1-1-1-1-1-1-102200022-1-1-1-1002200000-1-1002-1-120-1-1-1-1-1-1002020-1-100000000-100
χ18222222-12-12-1222-122-12-1-122-1-1-1-12-122-2-2-122-1-1-122-1-1-1-1-1-1-1-1-102-200022-1-11100-2-200000-1-100-2-1120-1-1111100-20-201100000000100
χ19222222-12-12-1222-122-12-1-122-1-1-1-12-1-2-222-122-1-1-122-1-1-1-1-1-1-1-1-10-22000-2-211-1-1002200000110021-1-2011-1-1-1-100-20-201100000000100
χ20222222-12-12-1222-122-12-1-122-1-1-1-12-1-2-2-2-2-122-1-1-122-1-1-1-1-1-1-1-1-10-2-2000-2-2111100-2-2000001100-211-20111111002020-1-100000000-100
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χ24222222-12-12-1222-12-2-12-1-122-1-1-1-12-1-2-2-2-2-1-2-2111-2-211-1-1-11111022000-2-2111100-2-20000011002-1-120-1-111-1-100-2020-1-100000000100
χ2522222-12-12222-1-12222-1-12-1-1-1-122-1-12200-12-1222-1-1-1-1-1-1-1-1-1-1-1220222-1-12200-1-1002200-1-1-1-1-1020-12-1-10000-1-1020000-1-100000000-1
χ2622222-12-12222-1-12222-1-12-1-1-1-122-1-12200-12-1222-1-1-1-1-1-1-1-1-1-1-1-220-2-2-2-1-122001100-2-2001-1-111020-1-2-1-10000110-2000011000000001
χ2722222-12-12222-1-12222-1-12-1-1-1-122-1-1-2-200-12-1222-1-1-1-1-1-1-1-1-1-1-12-2022211-2-200-1-100-2-200-111-1-10-2012110000-1-10-2000011000000001
χ2822222-12-12222-1-12222-1-12-1-1-1-122-1-1-2-200-12-1222-1-1-1-1-1-1-1-1-1-1-1-2-20-2-2-211-2-20011002200111110-201-211000011020000-1-100000000-1
χ2922222-12-12222-1-122-22-1-12-1-1-1-122-1-12200-1-21-2-2-21111-1-1-111112-20-222-1-122001100-2-200-1-1-1-1-10-201-2110000110200001100000000-1
χ3022222-12-12222-1-122-22-1-12-1-1-1-122-1-12200-1-21-2-2-21111-1-1-11111-2-202-2-2-1-12200-1-10022001-1-1110-2012110000-1-10-20000-1-1000000001
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χ3222222-12-12222-1-122-22-1-12-1-1-1-122-1-1-2-200-1-21-2-2-21111-1-1-11111-2202-2-211-2-200-1-100-2-20011111020-12-1-10000-1-10200001100000000-1
χ332222-12222-12-1222-12-1-12-1-1-122-1-1-120022-1-122-1-1-1-122-1-1-1-1-1-1-12022-1-100002222-1-10022200-1-1-1020-100-1-1-1-1-1-100020000-1-100000-10
χ342222-12222-12-1222-12-1-12-1-1-122-1-1-120022-1-122-1-1-1-122-1-1-1-1-1-1-1-202-211000022-2-2-1-100-2-2-20011-1020100-1-1-1-111000-20000110000010
χ352222-12222-12-1222-12-1-12-1-1-122-1-1-1200-2-2-1-122-1-1-1-122-1-1-1-1-1-1-120-22-1-10000-2-2221100-2-2200-1-110-20-1001111-1-1000-20000110000010
χ362222-12222-12-1222-12-1-12-1-1-122-1-1-1200-2-2-1-122-1-1-1-122-1-1-1-1-1-1-1-20-2-2110000-2-2-2-2110022-2001110-2010011111100020000-1-100000-10
χ372222-12222-12-1222-1-2-1-12-1-1-122-1-1-120022-11-2-21111-2-2-1-1-1111120-2-2-1-1000022-2-2-1-10022200-1-110-20100-1-11111000-20000-1-10000010
χ382222-12222-12-1222-1-2-1-12-1-1-122-1-1-120022-11-2-21111-2-2-1-1-11111-20-221100002222-1-100-2-2-2001110-20-100-1-111-1-1000200001100000-10
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χ1048-8-88-4-4-4-4-444-4444402222-222-2-2-2-2-20000-10006-600001-11-333-30000000000000000000000000000000000000000000000000000000
χ1058-8-88-4-4-4-4-444-4444402222-222-2-2-2-2-20000-1000-6600001-113-3-330000000000000000000000000000000000000000000000000000000

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