Finite Group Databasebeta

← Group #13172147

Character table — Group #13172147

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size111122222222222244444444444444466888888888888888812121212121212121212121212181818181818181824242424242424242424242424242424242424243636363636363636363654547272108
order12223336666666662333666666666664436666666666666662444412121212121212122244444466661212121212121212121212121212121244661212121212124412122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111-11-11111-1-11111-1-1-1-1-1-11111-1-111-11111111-1-1-1-11-111-1-1-1-1-1-1-1-11-1-1
χ31111111111111111111111111111111111111111111111111-111-1111-1-11111-1-1-1-1-1-111-1-1-1-111111-11111-1-11111-11-1-111-1-1-1-1-1-1-11-1
χ41111111111111111111111111111111111111111111111111-11-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11
χ51111111111111111111111111111111-1-111111111111111111-1111-1-11111-1-1-1-11111-1-1111111-1-111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1
χ61111111111111111111111111111111-1-111111111111111111-1-11-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-11-1-1-1-111-1-1-1-1-11-1-111-1-1-1-111-111
χ71111111111111111111111111111111-1-11111111111111111-1-11-11-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-11-1-1-1-1-1-1-111111-111-1-1-1-1-1-1111-11
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
χ91111111111111111-1111-1-1111111111111-1-1-1-1-1-1-1-1111-1-1-1-11-11-1-111-1-11111-1-111-1-11111111-1-1-1-1-111-1-1-1-111-1-11-1-1-11111-1-1111-1-1
χ101111111111111111-1111-1-1111111111111-1-1-1-1-1-1-1-1111-1-1-1-11-1-1-1111-1-1-1-111-1-1-1-111-1-11111-11-1-11-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111
χ111111111111111111-1111-1-1111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-111-11111111111-1-11111-1-1-1-11-1-1-1-1111-1-11111-1-1-1-11111-1-111-1-1-1-11
χ121111111111111111-1111-1-1111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-1-11-1-11111-1-111-1-111-1111-1-111-1-111-11-1
χ131111111111111111-1111-1-1111111111-1-11-1-1-1-1-1-1-1-1111-1-1-1-1111-1-1-1-1-1-111-1-11111-1-1-1-111111-111-1-1-1-111-1-111-1-1-1111-1-111-1-1-1-1-111
χ141111111111111111-1111-1-1111111111-1-11-1-1-1-1-1-1-1-1111-1-1-1-111-1-11-1-1-1-1-1-1-1-111-1-111111111-11111-1-1-111-1-1-1-111-1-11111-1-11111-1-1-1
χ151111111111111111-1111-1-1111111111-1-11-1-1-1-1-1-1-1-1111-1-1-1-1-1111-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-11-111-11-1-1111111-1-111-1-1-1-1-1-1111111-1
χ161111111111111111-1111-1-1111111111-1-11-1-1-1-1-1-1-1-1111-1-1-1-1-11-111-1-111-1-1-1-1-1-111-1-111-1-1-1-1-111111-1-11111-1-1111-1-1-11111-1-1-1-11-11
χ17222222-1-1222-122-1222-1-1222-1-1-122-1-1-122-12-122-1-1-1-1-1-1-1-1-1-1-122020-1-1-1-10022220000002-1-1-1002-102-1-1-1-1-1-1000020-1-100000000-100
χ18222222-1-1222-122-1222-1-1222-1-1-122-1-1-122-12-122-1-1-1-1-1-1-1-1-1-1-1-220-20-1-1110022-2-2000000-2111002-10-2-1-1-1-1110000-201100000000100
χ19222222-1-1222-122-1222-1-1222-1-1-122-1-1-1-2-2-12-122-1-1-1-1-1-1-1-1-1-1-12-202011-1-100-2-2-2-20000002-1-1-100-21021111-1-10000-201100000000100
χ20222222-1-1222-122-1222-1-1222-1-1-122-1-1-1-2-2-12-122-1-1-1-1-1-1-1-1-1-1-1-2-20-20111100-2-222000000-211100-210-2111111000020-1-100000000-100
χ21222222-1-1222-122-12-22-1-1-2-22-1-1-122-1-1-122-1-21-2-21111-1-1-111112-20-20-1-1110022-2-20000002-1-1-100-210-2-1-111110000201100000000-100
χ22222222-1-1222-122-12-22-1-1-2-22-1-1-122-1-1-122-1-21-2-21111-1-1-11111-2-2020-1-1-1-1002222000000-211100-2102-1-111-1-10000-20-1-100000000100
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χ24222222-1-1222-122-12-22-1-1-2-22-1-1-122-1-1-1-2-2-1-21-2-21111-1-1-11111-2202011-1-100-2-2-2-2000000-2111002-10211-1-1-1-10000201100000000-100
χ2522222-122-1-122222-12-12-1-1-1-12-1-1-1-122-100-122-1-122-1-1-1-1-1-1-1-1-1202220022220000222200-12-1-1-1-1002-10000-1-1-1-1-1-1000000-1-1-1-100000
χ2622222-122-1-122222-12-12-1-1-1-12-1-1-1-122-100-122-1-122-1-1-1-1-1-1-1-1-120-22-20022-2-20000-2-2-2-200-12-1-11100-2-10000-1-11111000000111100000
χ2722222-122-1-122222-12-12-1-1-1-12-1-1-1-122-100-122-1-122-1-1-1-1-1-1-1-1-1-202-2200-2-2220000-2-2-2-2001-211-1-10021000011-1-1-1-1000000111100000
χ2822222-122-1-122222-12-12-1-1-1-12-1-1-1-122-100-122-1-122-1-1-1-1-1-1-1-1-1-20-2-2-200-2-2-2-200002222001-2111100-210000111111000000-1-1-1-100000
χ2922222-122-1-122222-1-2-12-111-12-1-1-1-122-100-1-2-211-2-211-1-1-11111202-2-200-2-222000022-2-200-12-1-1-1100-21000011-1-111000000-1-11100000
χ3022222-122-1-122222-1-2-12-111-12-1-1-1-122-100-1-2-211-2-211-1-1-1111120-2-2200-2-2-2-20000-2-22200-12-1-11-1002100001111-1-100000011-1-100000
χ3122222-122-1-122222-1-2-12-111-12-1-1-1-122-100-1-2-211-2-211-1-1-11111-2022-20022220000-2-222001-211-1100-2-10000-1-1-1-11100000011-1-100000
χ3222222-122-1-122222-1-2-12-111-12-1-1-1-122-100-1-2-211-2-211-1-1-11111-20-2220022-2-2000022-2-2001-2111-1002-10000-1-111-1-1000000-1-11100000
χ332222-122222-12-1-1222-1-1222-1-122-1-1-1-1222-1-12-1-1-1-122-1-1-1-1-1-1-1022022200-1-1-1-100000022000022-12-10-1-1-1-100-1-1-1-10200-1-10000000-10
χ342222-122222-12-1-1222-1-1222-1-122-1-1-1-1222-1-12-1-1-1-122-1-1-1-1-1-1-102-20-2220011-1-1000000-2-20000-2-2-1210-1-1-1-10011110-20011000000010
χ352222-122222-12-1-1222-1-1222-1-122-1-1-1-12-2-2-1-12-1-1-1-122-1-1-1-1-1-1-10-2202-2-200-1-111000000-2-20000221-2-10111100-1-1-1-10-20011000000010
χ362222-122222-12-1-1222-1-1222-1-122-1-1-1-12-2-2-1-12-1-1-1-122-1-1-1-1-1-1-10-2-20-2-2-2001111000000220000-2-21-21011110011110200-1-10000000-10
χ372222-122222-12-1-122-2-1-12-2-2-1-122-1-1-1-1222-11-21111-2-2-1-1-111110-220-22200-1-1-1-10000002200002-21-210-1-11100-1-1110-200-1-1000000010
χ382222-122222-12-1-122-2-1-12-2-2-1-122-1-1-1-1222-11-21111-2-2-1-1-111110-2-202220011-1-1000000-2-20000-221-2-10-1-1110011-1-10200110000000-10
χ392222-122222-12-1-122-2-1-12-2-2-1-122-1-1-1-12-2-2-11-21111-2-2-1-1-111110220-2-2-200-1-111000000-2-200002-2-121011-1-100-1-1110200110000000-10
χ402222-122222-12-1-122-2-1-12-2-2-1-122-1-1-1-12-2-2-11-21111-2-2-1-1-1111102-202-2-2001111000000220000-22-12-1011-1-10011-1-10-200-1-1000000010
χ4122-2-2222-22-22-2-2-22-2022200-2-22-22-22-2-2002000000002-2-2000000000000000002-2002i−2i2i−2i00000000000000000000002-22i−2i002i−2i00000
χ4222-2-2222-22-22-2-2-22-2022200-2-22-22-22-2-2002000000002-2-2000000000000000002-200−2i2i−2i2i00000000000000000000002-2−2i2i00−2i2i00000
χ4322-2-2222-22-22-2-2-22-2022200-2-22-22-22-2-2002000000002-2-200000000000000000-22002i−2i−2i2i0000000000000000000000-22−2i2i002i−2i00000
χ4422-2-2222-22-22-2-2-22-2022200-2-22-22-22-2-2002000000002-2-200000000000000000-2200−2i2i2i−2i0000000000000000000000-222i−2i00−2i2i00000
χ452-2-222222-22-2-22-2-2-2022200-22-22-22-2-2-22i−2i200000000-22-20000000002i−2i00002i−2i002i−2i000000000000002i−2i000000000000002i−2i002-2000
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χ4944444-2-2-2-2-24-244-2-24-2-21-2-2-2-211-2-2-2-210014-2-2-2-2-21111111114004000-2-2000000000000-2-21100000-20000110000000000000000000
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χ1008-88-8-4-4-44444-44-44-40222−4i34i32-2-2-2-2-2-22200-1002i3−2i3002i3−2i311-1−i3−i3i3i300000000000000000000000000000000000000000000000000000000
χ1018-88-8-4-4-44444-44-44-402224i3−4i32-2-2-2-2-2-22200-100−2i32i300−2i32i311-1i3i3−i3−i300000000000000000000000000000000000000000000000000000000
χ1028-8-888-4-4-44-4-848-8440-4-42004-4-224-444-200200000000-22-2000000000000000000000000000000000000000000000000000000000000
χ1038-8-88-4-4884-44-8-44-8402-4-400-2-44-4-2244400200000000-22-2000000000000000000000000000000000000000000000000000000000000
χ1048-8-88-4-4-4-44-444-4444022200-22-22-22-2-2-200-100006-6001-11-33-3300000000000000000000000000000000000000000000000000000000
χ1058-8-88-4-4-4-44-444-4444022200-22-22-22-2-2-200-10000-66001-113-33-300000000000000000000000000000000000000000000000000000000

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