Finite Group Databasebeta

← Group #13168410

Character table — Group #13168410

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size1111222222222222444444444444444444444666666666688888888888881212121212121212121212121212121212121212121212121218181818242424242424242424242424363636363636363636365454727272108
order122233366666666633346666666661212121212121212222244666636661212121212121212124446666666666121212121212121212121212444466121212121212121212122244661212121244612124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1111111111111111-1-1111111-1-111111-1-1-111-1-1-1-11-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1111111111111111111111-111-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1111-1-11111-1-111-1-1-1-1-1-1-1-1-111-1
χ4111111111111111111111111111111111111111-1-11111111111111111111-1-1-111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-111111-1-11
χ51111111111111111111111111111111111111-1-111-1-1-1-1-1-11111111111111111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111111111111-11-1-1-1-1-1-111-1-11-1-1-1
χ61111111111111111111111111111111111111-1-111-1-1-1-1-1-11111111111111-1-11-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-111-1-1-1-1-1-111-1-1-1-1-1-111-1111
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1111-1-111111-1-1-11111-1-111-1-1-11
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
χ91111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-11-1-11111111111-1-1-1-111-1-1-1-1-1-111-1-111-11-1-1-1-111-1-11-11-111-1-11111-11-1-1
χ101111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-11-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1111-1-1-1-1-1-11-111
χ111111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-111-1-1-111-1-1-1-111-11
χ121111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111-1-11-11111-1-111-1-1-11-1-1111111-1-11-1
χ131111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-111-1-111111111111111-11-1-1-1-111-1-1-1-1-11-1-11111-1-1-1-111
χ141111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-11111-1-1-1-111-1-1-1-1111111-1-11111-1-111-1-1-1-111-111-1-1-111-1-11111-1-1
χ151111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-11111-1-111-1111-1-1-1-1111-11-1
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-11-11111-1-1111-11-111-1-111-1-1-11-11
χ17222222-12-122-12-1222-1-122-1-1-12-1-1-12-1-122-1-1-1-1222222-1-1-1-1-1-1-1-1222-1-1-1-1-1-10022222-1-1-1-1-1-1-1-1-1-10022-1-1-1-10022-1-12000-1-100002000-1-1-1-100000000
χ18222222-12-122-12-1222-1-122-1-1-12-1-1-12-1-122-1-1-1-122-2-222-1-1-1-1-1-1-1-1222-1-1-1-1-1-100-222-2-211-1-1-1-1-1-1110022-1-1-1-100-2-211-2000110000-2000111100000000
χ19222222-12-122-12-1222-1-122-1-1-12-1-1-12-1-122-1-1-1-1-2-222-2-21111-1-1-1-1222-1-1-1-1-1-1002-2-222-1-1111111-1-100-2-2111100-2-2-1-12000-1-10000-2000111100000000
χ20222222-12-122-12-1222-1-122-1-1-12-1-1-12-1-122-1-1-1-1-2-2-2-2-2-21111-1-1-1-1222-1-1-1-1-1-100-2-2-2-2-2111111111100-2-21111002211-20001100002000-1-1-1-100000000
χ21222222-12-122-12-1222-1-1-22-1-1-12-1-1-1211-2-211112222-2-2-1-1-1-1-1-1-1-1-2-2-211111100-22222-1-1-1-1-1-1111100-2-2111100-2-2-1-1-20001100002000-1-11100000000
χ22222222-12-122-12-1222-1-1-22-1-1-12-1-1-1211-2-2111122-2-2-2-2-1-1-1-1-1-1-1-1-2-2-211111100222-2-211-1-1-1-111-1-100-2-211110022112000-1-10000-200011-1-100000000
χ23222222-12-122-12-1222-1-1-22-1-1-12-1-1-1211-2-21111-2-222221111-1-1-1-1-2-2-211111100-2-2-222-1-11111-1-1110022-1-1-1-10022-1-1-2000110000-200011-1-100000000
χ24222222-12-122-12-1222-1-1-22-1-1-12-1-1-1211-2-21111-2-2-2-2221111-1-1-1-1-2-2-2111111002-2-2-2-2111111-1-1-1-10022-1-1-1-100-2-2112000-1-100002000-1-11100000000
χ2522222-1222-1-1222-12-12-12-122-1-1-1-12-1222222220022000000-1-1-1-1-1-1-1-1-1-1-1-1-122200-1-12200000022-1-10000002200-1-1-122-1-1-1-1-1-1-102000000-1-100-1000
χ2622222-1222-1-1222-12-12-12-122-1-1-1-12-1222222220022000000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2200-1-1220000002211000000-2-200-1-1-1-2-21-1-111110-200000011001000
χ2722222-1222-1-1222-12-12-12-122-1-1-1-12-12222222200-2-2000000-1-1-1-1-1-1-1-1-1-1-1-1-122-20011-2-2000000-2-2-1-1000000-2-20011122-111-1-1-1-10-200000011001000
χ2822222-1222-1-1222-12-12-12-122-1-1-1-12-12222222200-2-2000000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-20011-2-2000000-2-2110000002200111-2-2111111102000000-1-100-1000
χ2922222-1222-1-1222-12-12-1-2-122-1-1-1-12-1-2-2-2-2-2-2-2-20022000000-1-1-1-11111111112-2-200-1-122000000-2-2-1-10000002200-1-112-2111-1-1110-2000000-1-1001000
χ3022222-1222-1-1222-12-12-1-2-122-1-1-1-12-1-2-2-2-2-2-2-2-20022000000-1-1-1-1111111111-22-200-1-122000000-2-211000000-2-200-1-11-22-11111-1-1020000001100-1000
χ3122222-1222-1-1222-12-12-1-2-122-1-1-1-12-1-2-2-2-2-2-2-2-200-2-2000000-1-1-1-11111111112-220011-2-200000022-1-1000000-2-20011-12-21-1-1-1-111020000001100-1000
χ3222222-1222-1-1222-12-12-1-2-122-1-1-1-12-1-2-2-2-2-2-2-2-200-2-2000000-1-1-1-1111111111-2220011-2-20000002211000000220011-1-22-1-1-111-1-10-2000000-1-1001000
χ332222-122-12222-122-1-1-122-1-1-12-122-1-122-1-1-1-1-1-12200222222-1-1-1-12-1-122-1-1-1-1220-1-10000-1-1-1-1220022-1-1-1-1-1-10000000-1-1200-1-1-1-10022000000000-1-10
χ342222-122-12222-122-1-1-122-1-1-12-122-1-122-1-1-1-1-1-12200222222-1-1-1-12-1-122-1-1-1-1-2-20-1-10000-1-1-1-12200-2-2-1-1-1-1-1-1000000011-200111100-2-2000000000110
χ352222-122-12222-122-1-1-122-1-1-12-122-1-122-1-1-1-1-1-1-2-200-2-2-2-2-2-2-1-1-1-12-1-122-1-1-1-12201100001111-2-200221111110000000-1-1200-1-1-1-100-2-2000000000110
χ362222-122-12222-122-1-1-122-1-1-12-122-1-122-1-1-1-1-1-1-2-200-2-2-2-2-2-2-1-1-1-12-1-122-1-1-1-1-2-201100001111-2-200-2-2111111000000011-20011110022000000000-1-10
χ372222-122-12222-122-1-1-12-2-1-1-12-122-1-1-2-21111112200-2-22222-1-1-1-1-211-2-211112-20-1-10000-1-1-1-1-2-200221111110000000-11-200-1-111002-2000000000-110
χ382222-122-12222-122-1-1-12-2-1-1-12-122-1-1-2-21111112200-2-22222-1-1-1-1-211-2-21111-220-1-10000-1-1-1-1-2-200-2-211111100000001-120011-1-100-220000000001-10
χ392222-122-12222-122-1-1-12-2-1-1-12-122-1-1-2-2111111-2-20022-2-2-2-2-1-1-1-1-211-2-211112-201100001111220022-1-1-1-1-1-10000000-11-200-1-11100-220000000001-10
χ402222-122-12222-122-1-1-12-2-1-1-12-122-1-1-2-2111111-2-20022-2-2-2-2-1-1-1-1-211-2-21111-22011000011112200-2-2-1-1-1-1-1-100000001-120011-1-1002-2000000000-110
χ4122-2-2222-22-2-2-22-22-22220-22-22-2-2-2-2200000000002-22i−2i000022-2-2000000000000002-22-200002i−2i00002i−2i2i2i−2i−2i002i−2i2-200000000000000002i−2i00000000
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χ4422-2-2222-22-2-2-22-22-22220-22-22-2-2-2-220000000000-22−2i2i000022-2-200000000000000-22-220000−2i2i0000−2i2i−2i−2i2i2i002i−2i-2200000000000000002i−2i00000000
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χ4822-2-222-1-2-1-2-21212-22-1-10-2-11-1-211123−30033−3−300-22−2i2ii3i3−i3−i3-1-1110003−333−3−300000-221-1i3i3−i3−i3i−i−3300−2i2iii−i−i002i−2i1-10000−3300000000−i3i3−ii00000000
χ4922-2-222-1-2-1-2-21212-22-1-10-2-11-1-21112−3300−3−333002-22i−2ii3i3−i3−i3-1-111000−33−3−333000002-2-11i3i3−i3−i3−ii−33002i−2i−i−iii002i−2i-110000−3300000000i3−i3−ii00000000
χ5022-2-222-1-2-1-2-21212-22-1-10-2-11-1-21112−3300−3−333002-2−2i2i−i3−i3i3i3-1-111000−33−3−333000002-2-11−i3−i3i3i3i−i−3300−2i2iii−i−i00−2i2i-110000−3300000000−i3i3i−i00000000
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χ532-22-22222-2-22-2-22-2-222202-22-2-2-22-2-2000000002-200002-22-22-22-20000000000002-200002-22-20000000000002i−2i00000000000000000000002i−2i2i−2i0000
χ542-22-22222-2-22-2-22-2-222202-22-2-2-22-2-2000000002-200002-22-22-22-20000000000002-200002-22-2000000000000−2i2i0000000000000000000000−2i2i−2i2i0000
χ552-22-22222-2-22-2-22-2-222202-22-2-2-22-2-200000000-220000-22-222-22-2000000000000-220000-22-220000000000002i−2i00000000000000000000002i−2i−2i2i0000
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χ5744444-2-24-2-2-2-24-2-24-2-214-2-2-21-211-2-2-2-244-2-2-2-200440000001111-2-2-211111100400-2-2-2-2000000-2-200000000000011-20001100000000000000000000
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χ5944444-2-24-2-2-2-24-2-24-2-21-4-2-2-21-211-2-222-4-4222200440000001111222-1-1-1-1-1-100-400-2-2-2-200000022000000000000112000-1-100000000000000000000
χ6044444-2-24-2-2-2-24-2-24-2-21-4-2-2-21-211-2-222-4-4222200-4-40000001111222-1-1-1-1-1-1004002222000000-2-2000000000000-1-1-20001100000000000000000000
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χ674444-2-24-24-2-24-24-2-21-2-2-41-2-2-21-2-2-21-4-4222222000000000011112-1-122-1-1-1-14-4000000000000000-2-20000000000000-2220011-1-10000000000000000
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χ7544-4-4-24424-4-4-4-2-442-2-2402-2242-4-42-20000000000004i−4i0000-2-22200000000000000000000004i−4i0000−2i2i−2i−2i2i2i00000000000000000000000000000000
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χ1044-4-44-2-242-4-2242-42-21-2-20-12221-22-2-1002i3−2i32i3−2i3−2i32i300000000001-1-110−i3i300−i3i3i3−i30000000000000000023−23000000000000000000−33−3i3i0000000000000000
χ1054-4-44-2-242-4-2242-42-21-2-20-12221-22-2-1002i3−2i32i3−2i3−2i32i300000000001-1-110−i3i300−i3i3i3−i300000000000000000−23230000000000000000003−33i−3i0000000000000000
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χ1158-8-888-4-4-84-44-4-8448-4-420444-2-42-2-440000000000000000002-2-22000000000000000000000000000000000000000000000000000000000000000000
χ1168-8-88-4-4-444-44-4444-42220-2-2-2-222-22-200−4i34i32i3−2i3−2i32i30000000000-111-102i3−2i300−i3i3i3−i3000000000000000000000000000000000000000000000000000000000
χ1178-8-88-4-4-444-44-4444-42220-2-2-2-222-22-2004i3−4i3−2i32i32i3−2i30000000000-111-10−2i32i300i3−i3−i3i3000000000000000000000000000000000000000000000000000000000

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