Finite Group Databasebeta

← Group #13170476

Character table — Group #13170476

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size1111222222222222224444444444444444448888888888888812121212121218181818181824242424242424242424242424242424242424242424242436363636363636363636363636363654545454
order1222333446666666663336666666661212121212123666121212121212121212124444444444441212121212121212121212121212121212121212121212124441212121212121212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-111-111-1-1-1-11111-1-11111-1-11111-1-11111-1-11-1-111-1-1-1-111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111-111-11-1-111-1-111-1-11111-1-11111-1-11111-1-111-11-1-1-111-1-1-1-111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111-1-11-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-11-1-1-1-111-1-1-1-1111111
χ511111111111111111111111111111111111111111111111111-111-111-1-1-1-111-1-11111-1-11111-1-11111-1-11111-1-11-1-1-1-111-1-1-1-111-1-1-1-1
χ611111111111111111111111111111111111111111111111111-11-1-11-1-1-111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-11-1-1-111-1-1-1-111-1-11111
χ711111111111111111111111111111111111111111111111111-1-11-1-1111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1111-1-111-1-1-1-111-1-1-1-11111
χ811111111111111111111111111111111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1
χ91111111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1111111-1-1-1-1-1-1-1-111
χ101111111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1111111-1-1-11111-1-1-1-1-1-1111111-1-1
χ111111111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-11-11-1-1-111-1-111-1-111-1-111-1-1-1-111-1-111-1-1111-11-1-111-1-111-1-11111-1-1
χ121111111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1111111-1-1-1-111-1-1-1-1-1111111-1-1-1-111
χ131111111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-111-1-1111111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1111111-1-111-1-1
χ141111111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11-11-11-1-111-1-1-1-111-1-111-1-11111-1-111-1-111-1-11-11-1-111-1-111-1-111-1-111
χ151111111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111-111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-111-11111-1-1-1-1-1-11111-1-111
χ161111111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1
χ17222222-12222-122-122-12-1-12-1-12-1-12-1-12222-1-1-1-1-1-122-1-1-1-1-1-1-1-1022022000022002-12-1002-12-100-1-1-1-100-1-1-1-10020000-1-10000-1-10000
χ18222222-12222-122-122-12-1-12-1-12-1-12-1-12222-1-1-1-1-1-122-1-1-1-1-1-1-1-102-202-20000-2-2002-1-21002-1-2100-1-11100-1-11100-20000110000110000
χ19222222-12222-122-122-12-1-12-1-12-1-12-1-12222-1-1-1-1-1-122-1-1-1-1-1-1-1-10-220-220000-2-200-212-100-212-10011-1-10011-1-100-20000110000110000
χ20222222-12222-122-122-12-1-12-1-12-1-12-1-12222-1-1-1-1-1-122-1-1-1-1-1-1-1-10-2-20-2-200002200-21-2100-21-210011110011110020000-1-10000-1-10000
χ21222222-1-2-222-122-122-12-1-12-1-12-1-12-1-1-2-2-2-211-1-1-1-1-2-2111111110220-2-2000022002-12-100-21-2100111100-1-1-1-100-20000-1-10000110000
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χ23222222-1-2-222-122-122-12-1-12-1-12-1-12-1-1-2-2-2-211-1-1-1-1-2-2111111110-2202-20000-2-200-212-1002-1-2100-1-1110011-1-10020000110000-1-10000
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χ2722222-12222-122-122-12-12-1-12-1-12-1-12-122-1-122-1-1-1-1-1-122-1-1-1-1-1-1-202-20200-2-200-2100-12-2100-121100-1-11100-1-10-200011000011000000
χ2822222-12222-122-122-12-12-1-12-1-12-1-12-122-1-122-1-1-1-1-1-122-1-1-1-1-1-1-20-2-20-2002200-21001-2-21001-211001111001102000-1-10000-1-1000000
χ2922222-12-2-22-122-122-12-12-1-12-1-12-1-12-1-2-211-2-2-1-1-1-111-2-2111111202-20-20022002-100-12-21001-2110011-1-100-1-10-2000-1-1000011000000
χ3022222-12-2-22-122-122-12-12-1-12-1-12-1-12-1-2-211-2-2-1-1-1-111-2-211111120-2-20200-2-2002-1001-2-2100-121100-1-1-1-1001102000110000-1-1000000
χ3122222-12-2-22-122-122-12-12-1-12-1-12-1-12-1-2-211-2-2-1-1-1-111-2-2111111-20220-200-2-200-2100-122-1001-2-1-100111100-1-102000110000-1-1000000
χ3222222-12-2-22-122-122-12-12-1-12-1-12-1-12-1-2-211-2-2-1-1-1-111-2-2111111-20-2202002200-21001-22-100-12-1-100-1-11100110-2000-1-1000011000000
χ332222-12222-122-122-122-1-12-1-12-1-12-1-12-1-12222-1-1-1-1-1-1-1-122-1-1-1-1220220220000-12-1200-12-1200-1-1-1-100-1-1-1-100200-1-10000-1-100000000
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χ362222-12222-122-122-122-1-12-1-12-1-12-1-12-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-2-20-2-202200001-21-2001-21-200111100111100200-1-10000-1-100000000
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χ9888-8-8-4-4-400444-4-4-4444222222-2-2-2-2-2-2000000-1-111000000−3333−33330000000000000000000000000000000000000000000000000000000
χ998-88-88-4-4008-4-4-844-844-4-4244-244-2-4-420000002-2-2200000000000000000000000000000000000000000000000000000000000000000
χ1008-88-8-48-400-48-44-844-84-42-44-244-24-42-40000002-2-2200000000000000000000000000000000000000000000000000000000000000000
χ1018-88-8-4-4800-4-4844-844-82-4-4-244-2442-4-40000002-2-2200000000000000000000000000000000000000000000000000000000000000000
χ1028-88-8-4-4-400-4-4-4444444222-2-2-2-2-2-2222000000-111-1000000−3i33i33i3−3i30000000000000000000000000000000000000000000000000000000
χ1038-88-8-4-4-400-4-4-4444444222-2-2-2-2-2-2222000000-111-10000003i3−3i3−3i33i30000000000000000000000000000000000000000000000000000000
χ1048-8-88-4-4-48i−8i444444-4-4-4222-2-2-2222-2-2-2−4i4i−4i4i−4i4i-11-112i−2i2i−2i2i−2i−i−iii0000000000000000000000000000000000000000000000000000000
χ1058-8-88-4-4-4−8i8i444444-4-4-4222-2-2-2222-2-2-24i−4i4i−4i4i−4i-11-11−2i2i−2i2i−2i2iii−i−i0000000000000000000000000000000000000000000000000000000

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