Finite Group Databasebeta

← Group #13171926

Character table — Group #13171926

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size111122222222222244444444444444466888888888888888812121212121212121212121212181818181818181824242424242424242424242424242424242424243636363636363636363654547272108
order12223336666666662333666666666662236666666666666664444466661212121244444444661212121212121212121212121212121212124412121212121212124412124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111-11-1111111-1-111-1-1-1-1-1-1111-11-1111-1111111-1-1-1-11-111-1-1-1-1-1-1-1-11-1-1
χ311111111111111111111111111111111111111111111111111-11-111111-1-111-1-111-1-1-1-111-11-1111-1111-1-1-1-11111-11-1-111-1-1-1-1-1-1-11-1
χ411111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11
χ51111111111111111111111111111111-1-11111111111111111-11111-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-111111111-1-1-1-1-1-11111-1-1-1-1-1
χ61111111111111111111111111111111-1-11111111111111111-11-11-1-1-1-1-111-1-1-1-111-1-1-1-1-1-11-11-1-1-11-1-1-11111-1-1-1-1-11-1-111-1-1-1-111-111
χ71111111111111111111111111111111-1-11111111111111111-1-11-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-11-1-1-11-1-1-1-1-1-111111-111-1-1-1-1-1-1111-11
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
χ91111111111111111-1111-1-1111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-111-1-111111111111111-1-111-1-111-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1-1-1-1-11
χ101111111111111111-1111-1-1111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-11-1-11111111-1-111-1-1-1-11111-111-1-1-1-11-1-111-1-1-1-111-1111-1-1-1-11111-11-1
χ111111111111111111-1111-1-1111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-111-11111-1-111-1-111-1-111111-1-11-1-11-1-1-1-1-11111-1-11-1-1-111-1-111111-1-1
χ121111111111111111-1111-1-1111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-111-1-11111-1-1-1-111-1-1-1-1111
χ131111111111111111-1111-1-1111111111-1-11-1-1-1-1-1-1-1-1111-1-1-1-1111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-11111-1-111-1-111-1-1-1-111-1-11111-1
χ141111111111111111-1111-1-1111111111-1-11-1-1-1-1-1-1-1-1111-1-1-1-111-1-11-1-1-1-111-1-1-1-111-1-111-1-1-111-111-111111-1-1-1-1111-1-1-111-1-111-1-11-11
χ151111111111111111-1111-1-1111111111-1-11-1-1-1-1-1-1-1-1111-1-1-1-11-111-1-1-1-1-1-1-11111-1-1-1-111-1-11-1-11111-111-1-11111-1-1-1111-1-1-1-111-1-1-111
χ161111111111111111-1111-1-1111111111-1-11-1-1-1-1-1-1-1-1111-1-1-1-11-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1111111-1-111-1-111-1-1111111-1-111-1-1-1
χ17222222-122-122-12-1222-1-1222-1-1-122-1-1-122-12-122-1-1-1-1-1-1-1-1-1-1-12020222-1-100-1-100220000-1-10-1022-102-1-10000-1-1-1-10200-1-10000000-10
χ18222222-122-122-12-1222-1-1222-1-1-122-1-1-122-12-122-1-1-1-1-1-1-1-1-1-1-120-20-222-1-1001100-2-20000-1-1010-22-10-2-1-1000011110-20011000000010
χ19222222-122-122-12-1222-1-1222-1-1-122-1-1-1-2-2-12-122-1-1-1-1-1-1-1-1-1-1-1-20202-2-21100-1-100-2-20000110-102-2102110000-1-1-1-10-20011000000010
χ20222222-122-122-12-1222-1-1222-1-1-122-1-1-1-2-2-12-122-1-1-1-1-1-1-1-1-1-1-1-20-20-2-2-21100110022000011010-2-210-211000011110200-1-10000000-10
χ21222222-122-122-12-12-22-1-1-2-22-1-1-122-1-1-122-1-21-2-21111-1-1-11111-2020-222-1-100-1-100220000-1-10102-210-2110000-1-1110-200-1-1000000010
χ22222222-122-122-12-12-22-1-1-2-22-1-1-122-1-1-122-1-21-2-21111-1-1-11111-20-20222-1-1001100-2-20000-1-10-10-2-210211000011-1-10200110000000-10
χ23222222-122-122-12-12-22-1-1-2-22-1-1-122-1-1-1-2-2-1-21-2-21111-1-1-111112020-2-2-21100-1-100-2-200001101022-10-2-1-10000-1-1110200110000000-10
χ24222222-122-122-12-12-22-1-1-2-22-1-1-122-1-1-1-2-2-1-21-2-21111-1-1-1111120-202-2-211001100220000110-10-22-102-1-1000011-1-10-200-1-1000000010
χ2522222-122-122-12-1222-12-122-12-1-1-1-122-122-1-12-1-122-1-1-1-1-1-1-1-1-122020-1-122-1-10022000000-1-1-1020-1220-1-1-1-1-1-1000020-1-100000000-100
χ2622222-122-122-12-1222-12-122-12-1-1-1-122-122-1-12-1-122-1-1-1-1-1-1-1-1-12-20-20-1-1221100-2-2000000-1-110-20-12-20-1-111110000-201100000000100
χ2722222-122-122-12-1222-12-122-12-1-1-1-122-1-2-2-1-12-1-122-1-1-1-1-1-1-1-1-1-2202011-2-2-1-100-2-200000011-10201-22011-1-1-1-10000-201100000000100
χ2822222-122-122-12-1222-12-122-12-1-1-1-122-1-2-2-1-12-1-122-1-1-1-1-1-1-1-1-1-2-20-2011-2-21100220000001110-201-2-20111111000020-1-100000000-100
χ2922222-122-122-12-122-2-12-1-2-2-12-1-1-1-122-122-11-211-2-211-1-1-11111-220-20-1-122-1-10022000000-1-110201-2-2011-1-1110000-20-1-100000000100
χ3022222-122-122-12-122-2-12-1-2-2-12-1-1-1-122-122-11-211-2-211-1-1-11111-2-2020-1-1221100-2-2000000-1-1-10-201-2201111-1-10000201100000000-100
χ3122222-122-122-12-122-2-12-1-2-2-12-1-1-1-122-1-2-2-11-211-2-211-1-1-11111220-2011-2-2-1-100-2-2000000111020-12-20-1-1-1-1110000201100000000-100
χ3222222-122-122-12-122-2-12-1-2-2-12-1-1-1-122-1-2-2-11-211-2-211-1-1-111112-202011-2-211002200000011-10-20-1220-1-111-1-10000-20-1-100000000100
χ332222-122-122-12222-12-1-12-1-1-1-122-1-1-1-1200-122-1-1-1-122-1-1-1-1-1-1-10222200002222000022220022-1-100-1-100-1-1-1-1-1-1-1-1000000-1-1-1-100000
χ342222-122-122-12222-12-1-12-1-1-1-122-1-1-1-1200-122-1-1-1-122-1-1-1-1-1-1-102-22-2000022-2-20000-2-2-2-2002-2-1100-1100-1-1-1-11111000000111100000
χ352222-122-122-12222-12-1-12-1-1-1-122-1-1-1-1200-122-1-1-1-122-1-1-1-1-1-1-10-22-220000-2-2220000-2-2-2-200-221-1001-1001111-1-1-1-1000000111100000
χ362222-122-122-12222-12-1-12-1-1-1-122-1-1-1-1200-122-1-1-1-122-1-1-1-1-1-1-10-2-2-2-20000-2-2-2-20000222200-2-21100110011111111000000-1-1-1-100000
χ372222-122-122-12222-1-2-1-1211-1-122-1-1-1-1200-1-2-21111-2-2-1-1-11111022-2-200002222000022-2-200-2-2-1-1001100-1-111-1-111000000-1-11100000
χ382222-122-122-12222-1-2-1-1211-1-122-1-1-1-1200-1-2-21111-2-2-1-1-1111102-2-22000022-2-20000-2-22200-22-11001-100-1-11111-1-100000011-1-100000
χ392222-122-122-12222-1-2-1-1211-1-122-1-1-1-1200-1-2-21111-2-2-1-1-111110-222-20000-2-2220000-2-222002-21-100-110011-1-1-1-11100000011-1-100000
χ402222-122-122-12222-1-2-1-1211-1-122-1-1-1-1200-1-2-21111-2-2-1-1-111110-2-2220000-2-2-2-2000022-2-200221100-1-10011-1-111-1-1000000-1-11100000
χ4122-2-2222-2-2-22-2-222-2022200-2-2-2-22-22-222-22000000002-2-20000000002-22-200000000002i−2i2-2000000000000000000000000002i−2i2i−2i000
χ4222-2-2222-2-2-22-2-222-2022200-2-2-2-22-22-222-22000000002-2-20000000002-22-20000000000−2i2i2-200000000000000000000000000−2i2i−2i2i000
χ4322-2-2222-2-2-22-2-222-2022200-2-2-2-22-22-22-222000000002-2-2000000000-22-2200000000002i−2i-22000000000000000000000000002i−2i−2i2i000
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χ452-2-22222-222-2-2-2-2-22022200-2-22-2-22-22-200200000000-22-2000000000000000002i−2i2i−2i2-20000000000000000000000002i−2i2i−2i2-20000000
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χ5244444-2-24-2-24-2-2-2-24-4-2-21-4-4-2-211-2-2-2-21-4-41222222-1-1111-1-1-1-1400002222000000000000-1-10000-2-2001100000000000000000000000
χ534444-24-2-24-2-24-24-2-24-21-2-2-2-21-2-2-2-211-20014-2-2-211-2-2111111100404000000-2-200000000000-20-2000-20000001111000000000000000
χ544444-24-2-24-2-24-24-2-24-21-2-2-2-21-2-2-2-211-20014-2-2-211-2-2111111100-40-400000022000000000002020002000000-1-1-1-1000000000000000
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χ1038-8-88-4-484-4844-84-8-402-4-400-24-44-224-4400200000000-22-2000000000000000000000000000000000000000000000000000000000000
χ1048-8-88-4-4-44-4-444444-4022200-2-22-2-22-22-200-1000000001-11−3i33i33i3−3i300000000000000000000000000000000000000000000000000000000
χ1058-8-88-4-4-44-4-444444-4022200-2-22-2-22-22-200-1000000001-113i3−3i3−3i33i300000000000000000000000000000000000000000000000000000000

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