Finite Group Databasebeta

← Group #13172086

Character table — Group #13172086

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size111122222222222244444444444444466888888888888888812121212121212121212121212181818181818181824242424242424242424242424242424242424243636363636363636363654547272108
order12223336666666662333666666666664436666666666666662244412121212121212124444444466666666121212121212121212121212241212121212121212446124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111-1-111111-1-11111-1-1-1-1-1-111111111-1-1-111111-1-1-1-11-111-1-1-1-1-1-1-1-11-1-1
χ311111111111111111111111111111111111111111111111111-111-111-1-11111-1-111-1-1-1-11-11-111-1-1111-111-1-11111-11-1-111-1-1-1-1-1-1-11-1
χ411111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-111111-11-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11
χ51111111111111111111111111111111-1-11111111111111111-11111-1-11111-1-1-1-1-1-11111-11-11-1-1111111-1-1111111-1-1-1-1-1-11111-1-1-1-1-1
χ61111111111111111111111111111111-1-11111111111111111-11-1-11-1-111-1-1-1-1-1-111-1-1-1-1-11-11-1-111-1-1-11-1-111-1-1-1-1-11-1-111-1-1-1-111-111
χ71111111111111111111111111111111-1-11111111111111111-1-111-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-111111-111-1-1-1-1-1-1111-11
χ81111111111111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1
χ91111111111111111-1111-1-1111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-111-1-111-1-1-1-111-1-1-1-111-1-1-11-11-1-1111-11-111-1-111-1-111-1-1-1-111-1-1-1-1111
χ101111111111111111-1111-1-1111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-11-11-111-1-11111-1-111-1-111-11-11-1-111-11-1-111-1-1-1-1111-1-1-111-1-111111-1-1
χ111111111111111111-1111-1-1111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-11-111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-11-111111111-1-1-1111-1-1-1-11111-11-1
χ121111111111111111-1111-1-1111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-11-111111-1-111-1-1111111-1-1-1-1-1-11
χ131111111111111111-1111-1-1111111111-1-11-1-1-1-1-1-1-1-1111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1111111-1-1111111111-11-1-1-1-1-111-1-1-1-1111111-1-111-1-1-1
χ141111111111111111-1111-1-1111111111-1-11-1-1-1-1-1-1-1-1111-1-1-1-111-11-1-1-1-1-111-1-111-1-1-1-11111111111-11-1-1-1-1-1-1-1-111-1111-1-1-1-111-1-1-111
χ151111111111111111-1111-1-1111111111-1-11-1-1-1-1-1-1-1-1111-1-1-1-11-11-11-1-111-1-1-1-1-1-111-1-1111-11-111-1-11-111-1-11111-1-11-1-1-111-1-111-1-11-11
χ161111111111111111-1111-1-1111111111-1-11-1-1-1-1-1-1-1-1111-1-1-1-11-1-111-1-11111-1-1-1-1-1-111-1-11-11-111-1-1-11-11-1-111-1-11111-1-1-1-111-1-11111-1
χ17222222-1222-1-12-12222-1-1222-1-1-1-122-1-122-12-122-1-1-1-1-1-1-1-1-1-1-122002-1-1-1-100222200000022-1-1-1-1-1-10002-1-1-1-1000020-1-100000000-100
χ18222222-1222-1-12-12222-1-1222-1-1-1-122-1-122-12-122-1-1-1-1-1-1-1-1-1-1-12-200-2-1-1110022-2-20000002-2-11-1-111000-2-1-1110000-201100000000100
χ19222222-1222-1-12-12222-1-1222-1-1-1-122-1-1-2-2-12-122-1-1-1-1-1-1-1-1-1-1-1-2200211-1-100-2-2-2-2000000-221-111-1-1000211-1-10000-201100000000100
χ20222222-1222-1-12-12222-1-1222-1-1-1-122-1-1-2-2-12-122-1-1-1-1-1-1-1-1-1-1-1-2-200-2111100-2-222000000-2-2111111000-21111000020-1-100000000-100
χ21222222-1222-1-12-122-22-1-1-2-22-1-1-1-122-1-122-1-21-2-21111-1-1-11111-2200-2-1-1110022-2-2000000-221-111-1-1000-2-1-1110000201100000000-100
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χ24222222-1222-1-12-122-22-1-1-2-22-1-1-1-122-1-1-2-2-1-21-2-21111-1-1-111112-200211-1-100-2-2-2-20000002-2-11-1-111000211-1-10000201100000000-100
χ2522222-1222-122-12-122-12-122-122-1-1-1-12-122-1-12-1-122-1-1-1-1-1-1-1-1-1202202200-1-1-1-100220000-1020-1-10022-10-1-100-1-1-1-10200-1-10000000-10
χ2622222-1222-122-12-122-12-122-122-1-1-1-12-122-1-12-1-122-1-1-1-1-1-1-1-1-120-2-20220011-1-100-2-20000-1020-1-100-2-210-1-10011110-20011000000010
χ2722222-1222-122-12-122-12-122-122-1-1-1-12-1-2-2-1-12-1-122-1-1-1-1-1-1-1-1-1-20220-2-200-1-11100-2-2000010-20110022-101100-1-1-1-10-20011000000010
χ2822222-1222-122-12-122-12-122-122-1-1-1-12-1-2-2-1-12-1-122-1-1-1-1-1-1-1-1-1-20-2-20-2-20011110022000010-201100-2-210110011110200-1-10000000-10
χ2922222-1222-122-12-12-2-12-1-2-2-122-1-1-1-12-122-11-211-2-211-1-1-11111-202-20220011-1-100-2-2000010-2011002-2-10-1-100-1-1110200110000000-10
χ3022222-1222-122-12-12-2-12-1-2-2-122-1-1-1-12-122-11-211-2-211-1-1-11111-20-2202200-1-1-1-10022000010-201100-2210-1-10011-1-10-200-1-1000000010
χ3122222-1222-122-12-12-2-12-1-2-2-122-1-1-1-12-1-2-2-11-211-2-211-1-1-11111202-20-2-200111100220000-1020-1-1002-2-101100-1-1110-200-1-1000000010
χ3222222-1222-122-12-12-2-12-1-2-2-122-1-1-1-12-1-2-2-11-211-2-211-1-1-1111120-220-2-200-1-11100-2-20000-1020-1-100-2210110011-1-10200110000000-10
χ332222-122-1-1222222-12-1-12-1-1-1-1-122-1-1-1200-122-1-1-1-122-1-1-1-1-1-1-10222200222200000022220-10200-1-1-1-12-100-1-1-1-1-1-1000000-1-1-1-100000
χ342222-122-1-1222222-12-1-12-1-1-1-1-122-1-1-1200-122-1-1-1-122-1-1-1-1-1-1-102-2-220022-2-2000000-2-2-2-20-10200-1-111-2-100-1-11111000000111100000
χ352222-122-1-1222222-12-1-12-1-1-1-1-122-1-1-1200-122-1-1-1-122-1-1-1-1-1-1-10-222-200-2-222000000-2-2-2-2010-20011-1-1210011-1-1-1-1000000111100000
χ362222-122-1-1222222-12-1-12-1-1-1-1-122-1-1-1200-122-1-1-1-122-1-1-1-1-1-1-10-2-2-2-200-2-2-2-20000002222010-2001111-2100111111000000-1-1-1-100000
χ372222-122-1-1222222-1-2-1-1211-1-1-122-1-1-1200-1-2-21111-2-2-1-1-11111022-2-200-2-2-2-200000022-2-20-10200-1-1-11210011-1-111000000-1-11100000
χ382222-122-1-1222222-1-2-1-1211-1-1-122-1-1-1200-1-2-21111-2-2-1-1-1111102-22-200-2-222000000-2-2220-10200-1-11-1-21001111-1-100000011-1-100000
χ392222-122-1-1222222-1-2-1-1211-1-1-122-1-1-1200-1-2-21111-2-2-1-1-111110-22-220022-2-2000000-2-222010-20011-112-100-1-1-1-11100000011-1-100000
χ402222-122-1-1222222-1-2-1-1211-1-1-122-1-1-1200-1-2-21111-2-2-1-1-111110-2-22200222200000022-2-2010-200111-1-2-100-1-111-1-1000000-1-11100000
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χ4322-2-22222-2-22-2-2-22-2022200-22-2-2-22-2-22-222000000002-2-2000000000-220000-220000002i−2i000000000000-22000000000000002i−2i−2i2i000
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χ1028-88-8-4-4-44-4-4444-444022200-2-222-2-22-2-200-1000000001-113i3−3i3−3i33i300000000000000000000000000000000000000000000000000000000
χ1038-8-888-4-4-8-844-4-44480-4-4200-444-2244-4-200200000000-2-22000000000000000000000000000000000000000000000000000000000000
χ1048-8-88-4-4-44444-4-444-40222−4i34i32-2-2-22-2-22-200-1002i3−2i32i3−2i30011-1−i3i3−i3i300000000000000000000000000000000000000000000000000000000
χ1058-8-88-4-4-44444-4-444-402224i3−4i32-2-2-22-2-22-200-100−2i32i3−2i32i30011-1i3−i3i3−i300000000000000000000000000000000000000000000000000000000

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