Finite Group Databasebeta

← Group #13172026

Character table — Group #13172026

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size1111222222222222444444444444444444444666666666688888888888881212121212121212121212121212121212121212121212121218181818242424242424242424242424363636363636363636365454727272108
order1222333666666666233366666666666666666222244666636666666666662446666666666666612121212121212124444666612121212121212124444121212121212441212124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-11-111111111111111111111-1-1-1-111-1-1-1-1-111111-1-11-1-1-1-1-11111-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-1111111111111111111-1111111111111111-1-1-1-1-1-111-1-1-1-111111-1-1-1-1-111-111-1-1-1-1-1-1-1-1-111-1-1
χ411111111111111111111111111111111111111111-1-111111111111111111-1-1-111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-111
χ51111111111111111111111111111111111111-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1111111111111-1-1-1111-1-1-1-1-1-1-1-11-1
χ61111111111111111111111111111111111111-1-1-1-111-1-1-1-11111111111111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-111111-1-1-111-1-1-1-1-1-1-11111-11
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111-1-1-1-1-1111-1-1-1-1-1111111-1-1-11
χ81111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1111-1
χ91111111111111111-1111-1-1-1-1111111-1-1-1-111111-1-11111111-1-1-1-1-1111-1-1-1-11-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-11-1-111-1-1-1-11-111
χ101111111111111111-1111-1-1-1-1111111-1-1-1-111111-1-11111111-1-1-1-1-1111-1-1-1-1-1-11-1-111-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-11-111-1-1111-11-11111-1-111-11-1-1
χ111111111111111111-1111-1-1-1-1111111-1-1-1-111111-1-1-1-111111-1-1-1-1-1111-1-1-1-111-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-111111111-11-1-111-1-1-11-1-111-1-111111-1-1-1
χ121111111111111111-1111-1-1-1-1111111-1-1-1-111111-1-1-1-111111-1-1-1-1-1111-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-11111-1-111-1-1-1-111-1-1-1111
χ131111111111111111-1111-1-1-1-1111111-1-1-1-1111-1-11111-1-1-1-11-1-1-1-1-1111-1-1-1-11-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1111111-1-111-1-1-1-1-1-111-1-1-1-11111-111-1
χ141111111111111111-1111-1-1-1-1111111-1-1-1-1111-1-11111-1-1-1-11-1-1-1-1-1111-1-1-1-1-1-1111-1-111-1-1-1-111111111-1-1111111-1-1-1-11-111-1-111-11-1-111-1-111-1-11-1-11
χ151111111111111111-1111-1-1-1-1111111-1-1-1-1111-1-111-1-1-1-1-1-11-1-1-1-1-1111-1-1-1-111-111-1-111-1-1-1-11111-1-1-1-111-1-111-1-11111-11-1-111-1-11-11-11111-1-1-1-1-11-11
χ161111111111111111-1111-1-1-1-1111111-1-1-1-1111-1-111-1-1-1-1-1-11-1-1-1-1-1111-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111111-11-1-111-1-1111-11-1
χ17222222-122-12-1-122222-1-122-1-12-1-1-1-1-1-1-1-1-122-12222002222-1222-1-1-1-1-1-1-1-1-120222-1-1-1-1-1-1-1-1-1-1-1-10000002200002-1-1-1-100000-1-1022000000000-1-100
χ18222222-122-12-1-122222-1-122-1-12-1-1-1-1-1-1-1-1-122-12222002222-1222-1-1-1-1-1-1-1-1-1-20-222-1-1-1-1-1-1-1-1-1-1-1-1000000-2-20000-2111100000110-2-20000000001100
χ19222222-122-12-1-122222-1-122-1-12-1-1-1-1-1-1-1-1-122-1-2-2-2-200-2-2-2-2-1222-1-1-1-1-1-1-1-1-1202-2-21111111111110000002200002-1-1-1-100000-1-10-2-20000000001100
χ20222222-122-12-1-122222-1-122-1-12-1-1-1-1-1-1-1-1-122-1-2-2-2-200-2-2-2-2-1222-1-1-1-1-1-1-1-1-1-20-2-2-2111111111111000000-2-20000-211110000011022000000000-1-100
χ21222222-122-12-1-1222-22-1-1-2-2112-1-1-1-1-1111122-122-2-2002222-1-2-2-211-1-1-1111120-2-2-2-1-111-1-1-1-11111000000-2-200002-1-1-11000001102-2000000000-1100
χ22222222-122-12-1-1222-22-1-1-2-2112-1-1-1-1-1111122-122-2-2002222-1-2-2-211-1-1-11111-202-2-2-1-111-1-1-1-11111000000220000-2111-100000-1-10-220000000001-100
χ23222222-122-12-1-1222-22-1-1-2-2112-1-1-1-1-1111122-1-2-22200-2-2-2-2-1-2-2-211-1-1-1111120-22211-1-11111-1-1-1-1000000-2-200002-1-1-1100000110-220000000001-100
χ24222222-122-12-1-1222-22-1-1-2-2112-1-1-1-1-1111122-1-2-22200-2-2-2-2-1-2-2-211-1-1-11111-2022211-1-11111-1-1-1-1000000220000-2111-100000-1-102-2000000000-1100
χ2522222-12-122222-1-122-12-1-1-122-122-1-1-1-1-1-1-1-1-12222222-1-1-1-1-12-1-122-1-1-1-1-1-1-1020-1-12222-1-1-1-1-1-1-1-122-1-1-1-1000022000002-1-1-1-100200000-1-1-1-1000000
χ2622222-12-122222-1-122-12-1-1-122-122-1-1-1-1-1-1-1-1-122222-2-2-1-1-1-1-12-1-122-1-1-1-1-1-1-10-20-1-12222-1-1-1-1-1-1-1-1-2-211110000-2-200000-2111100-2000001111000000
χ2722222-12-122222-1-122-12-1-1-122-122-1-1-1-1-1-1-1-1-12-2-2-2-2221111-12-1-122-1-1-1-1-1-1-102011-2-2-2-21111111122-1-1-1-10000-2-2000002-1-1-1-100-2000001111000000
χ2822222-12-122222-1-122-12-1-1-122-122-1-1-1-1-1-1-1-1-12-2-2-2-2-2-21111-12-1-122-1-1-1-1-1-1-10-2011-2-2-2-211111111-2-2111100002200000-2111100200000-1-1-1-1000000
χ2922222-12-122222-1-12-2-12-111-2-2-122-1-1-11111-1-1222-2-222-1-1-1-1-1-211-2-2-1-1-111110-201122-2-2-1-1-1-1111122-1-1110000-2-200000-2-1-11100200000-1-111000000
χ3022222-12-122222-1-12-2-12-111-2-2-122-1-1-11111-1-1222-2-2-2-2-1-1-1-1-1-211-2-2-1-1-111110201122-2-2-1-1-1-11111-2-211-1-100002200000211-1-100-20000011-1-1000000
χ3122222-12-122222-1-12-2-12-111-2-2-122-1-1-11111-1-12-2-222221111-1-211-2-2-1-1-111110-20-1-1-2-2221111-1-1-1-122-1-11100002200000-2-1-11100-20000011-1-1000000
χ3222222-12-122222-1-12-2-12-111-2-2-122-1-1-11111-1-12-2-222-2-21111-1-211-2-2-1-1-11111020-1-1-2-2221111-1-1-1-1-2-211-1-10000-2-200000211-1-100200000-1-111000000
χ332222-1222-12-12222-12-1-122222-1-1-12222222-1-1-10000220000-1-1-1-1-1-1-1-1-1-1-1-1-122200000000000000-1-12222-1-12200-12-1-12-1-1-1-1-1-1-10002-1-100000000-10
χ342222-1222-12-12222-12-1-122222-1-1-12222222-1-1-10000220000-1-1-1-1-1-1-1-1-1-1-1-1-1-22-200000000000000-1-1222211-2-2001-211-2-1-1-1-1-111000-2110000000010
χ352222-1222-12-12222-12-1-122222-1-1-12222222-1-1-10000-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-12-220000000000000011-2-2-2-2-1-1-2-200-12-1-1211111-1-1000-2110000000010
χ362222-1222-12-12222-12-1-122222-1-1-12222222-1-1-10000-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-20000000000000011-2-2-2-21122001-211-211111110002-1-100000000-10
χ372222-1222-12-12222-1-2-1-12-2-2-2-2-1-1-1222-2-2-2-2-1-1-10000220000-111111-1-1-111112-2-200000000000000-1-122-2-211-2-200-12-1-1-21-1-1111100021100000000-10
χ382222-1222-12-12222-1-2-1-12-2-2-2-2-1-1-1222-2-2-2-2-1-1-10000220000-111111-1-1-11111-2-2200000000000000-1-122-2-2-1-122001-21121-1-111-1-1000-2-1-10000000010
χ392222-1222-12-12222-1-2-1-12-2-2-2-2-1-1-1222-2-2-2-2-1-1-10000-2-20000-111111-1-1-1111122-20000000000000011-2-222112200-12-1-1-2-111-1-111000-2-1-10000000010
χ402222-1222-12-12222-1-2-1-12-2-2-2-2-1-1-1222-2-2-2-2-1-1-10000-2-20000-111111-1-1-11111-2220000000000000011-2-222-1-1-2-2001-2112-111-1-1-1-100021100000000-10
χ4122-2-2222-22-2-22-22-2-202220000-22-22-2-200002-2-22-2000022-2-22000002-2-20000000002-20022-2-20000000000002i−2i0000000000000000002i−2i00002i−2i0000
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χ4422-2-2222-22-2-22-22-2-202220000-22-22-2-200002-2-2-220000-2-2222000002-2-2000000000-2200-2-222000000000000−2i2i000000000000000000−2i2i00002i−2i0000
χ452-22-22222-2-22-22-2-2-2022200002-22-22-20000-2-2-2002-22i−2i0000200000-22-200000002-2002-2000022-2-22i−2i2i−2i0000002i−2i0000002i−2i0000000000002i−2i000000
χ462-22-22222-2-22-22-2-2-2022200002-22-22-20000-2-2-2002-2−2i2i0000200000-22-200000002-2002-2000022-2-2−2i2i−2i2i000000−2i2i000000−2i2i000000000000−2i2i000000
χ472-22-22222-2-22-22-2-2-2022200002-22-22-20000-2-2-200-222i−2i0000200000-22-20000000-2200-220000-2-2222i−2i2i−2i000000−2i2i0000002i−2i000000000000−2i2i000000
χ482-22-22222-2-22-22-2-2-2022200002-22-22-20000-2-2-200-22−2i2i0000200000-22-20000000-2200-220000-2-222−2i2i−2i2i0000002i−2i000000−2i2i0000000000002i−2i000000
χ492-22-22-12-1-2-22-2211-20-12-1−i3i300-1-221-11−i3−i3i3i311-2002-22i−2i−i3i3−i3i3-10−i3i3001-11−i3−i3i3i3000-11002-2−i3i3−i3i3-1-1112i−2i−ii3−300002i−2i000000−ii3−3000000003−3−ii000000
χ502-22-22-12-1-2-22-2211-20-12-1−i3i300-1-221-11−i3−i3i3i311-2002-2−2i2i−i3i3−i3i3-10−i3i3001-11−i3−i3i3i3000-11002-2−i3i3−i3i3-1-111−2i2ii−i−330000−2i2i000000i−i−3300000000−33i−i000000
χ512-22-22-12-1-2-22-2211-20-12-1−i3i300-1-221-11−i3−i3i3i311-200-222i−2ii3−i3i3−i3-10−i3i3001-11−i3−i3i3i30001-100-22i3−i3i3−i311-1-12i−2i−ii3−30000−2i2i000000−ii3−300000000−33i−i000000
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χ552-22-22-12-1-2-22-2211-20-12-1i3−i300-1-221-11i3i3−i3−i311-200-222i−2i−i3i3−i3i3-10i3−i3001-11i3i3−i3−i30001-100-22−i3i3−i3i311-1-12i−2i−ii−330000−2i2i000000−ii−33000000003−3i−i000000
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χ5744444-2-2-24-24-2-2-2-244-2-21-2-2-2-2-2-2-21111111-2-2-2444400-2-2-2-214-2-2-2-21111111000-2-2-2-2-2-2111111110000000000000000000000000000000000000000
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χ1004-4-44-244-4242-4-4-44-20-2-240000222-4-4400002-2-20000000000-20000022-2000000000000000000000000000−2i32i300000000000000−2i32i30000000000000000
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χ1054-4-44-24-2-42-2222-44-20-21-2002i3−2i32-1-122-22i3−2i3−2i32i32-2100000000001000−i3i3-1-11−i3i3i3−i3000000000000000000000002i3−2i30000003-3000000−i3i30000000000000000
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χ1078888-4-4-4-4-4-4-4-4-4-4-4-4-82224444222222-2-2-2-22220000000000-14-2-2-2-2-1-1-11111000000000000000000000000000000000000000000000000000000000
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χ1138-88-8-4-4-4-444-44-44440222−4i34i3002-22-22-22i32i3−2i3−2i3-2-2-20000000000-102i3−2i3001-11−i3−i3i3i3000000000000000000000000000000000000000000000000000000000
χ1148-88-8-4-4-4-444-44-444402224i3−4i3002-22-22-2−2i3−2i32i32i3-2-2-20000000000-10−2i32i3001-11i3i3−i3−i3000000000000000000000000000000000000000000000000000000000
χ1158-8-88-4-484484-8-84-4-402-4-40000-24444-40000-22-40000000000200000-2-220000000000000000000000000000000000000000000000000000000000000
χ1168-8-88-4-4-444-44444-4-4022200−4i34i3-2-2-2-2-222i3−2i3−2i32i3-2220000000000-10002i3−2i311-1−i3i3i3−i3000000000000000000000000000000000000000000000000000000000
χ1178-8-88-4-4-444-44444-4-40222004i3−4i3-2-2-2-2-22−2i32i32i3−2i3-2220000000000-1000−2i32i311-1i3−i3−i3i3000000000000000000000000000000000000000000000000000000000

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