Finite Group Databasebeta

← Group #13169190

Character table — Group #13169190

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size11112222222222224444444444444446666668888888888888888121212121212121212121212121212121212121818181818181818242424242424242424242424242424243636363636363636363654547272108
order122233366666666633346666666661212444444366612121212121212121212121244412121212121212121212121212121212224466661212121212121212121212121212121222446612121212446122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-11111111111111111-111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-111-111111-1-11111-1-111-1-111-1-1-1-1-1-11-1-1
χ3111111111111111111111111111111111-1-111111111111111111111-111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11-11111-1-11111-1-111-1-111-1-1-1-111-1-1-11-1
χ4111111111111111111111111111111111-1-1-1-11111111111111111-11-1-1-1-1-1-1-11111-1-1-1-1-1-1111111111-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-11
χ51111111111111111111111111111111-1-1111111111111111111111-11111111-1-1-1-111111111111111-111-1-1-11111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1
χ61111111111111111111111111111111-1-111-1-11111111111111111-1-11-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-11111-111
χ71111111111111111111111111111111-1-1-1-11111111111111111111-1-111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-1111-11
χ81111111111111111111111111111111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1
χ91111111111111111111-1111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11-11-1111111-1-1-1-11
χ101111111111111111111-1111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111111111-1-11111-1-11-1-1-1-1-1-1-11111111-1-1111-1-1-1-111-11-1
χ111111111111111111111-1111111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-111-1-11111-11-1-1-1-1111111-1-1-1-1-111-1-1-1-1-111111-1-1
χ121111111111111111111-1111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-11111-1-1-1-111-1-111-1-1-1-1-111-1-1-111-1-111-1-111-11-11-1-111-1-1-1-1111
χ131111111111111111111-1111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111-1-1-1-11111-1-1-1-111-1-1-1-11-1-1111-1-111-1-111-1-1-11-11-1-111-1-11111-1
χ141111111111111111111-1111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111111111-1-111111-11111-1-1-1-1-1-11111-111-1-1-1-1-111-1-11-11
χ151111111111111111111-1111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-11111111-1-1-1-1-1-11-1-1111-1-1-1-1-1-1-111
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1111-11-111111111-1-1-1
χ17222222-122-1-122-1222-1-122-1-12-1-12-1-122222200-1-1-1-12-122-1-1-1-1-1-1-1-102200220022-1-1-1-1220000000000-1-102-1-1-1-100-1-1-1-1002200-1-1000000-100
χ18222222-122-1-122-1222-1-122-1-12-1-12-1-12222-2-200-1-1-1-12-122-1-1-1-1-1-1-1-102-200-2-20022-1-111-2-20000000000-1102-1-11100-1-11100-2-20011000000100
χ19222222-122-1-122-1222-1-122-1-12-1-12-1-122-2-22200-1-1-1-12-122-1-1-1-1-1-1-1-10-22002200-2-211-1-12200000000001-10-211-1-10011-1-100-2-20011000000100
χ20222222-122-1-122-1222-1-122-1-12-1-12-1-122-2-2-2-200-1-1-1-12-122-1-1-1-1-1-1-1-10-2-200-2-200-2-21111-2-20000000000110-21111001111002200-1-1000000-100
χ21222222-122-1-122-1222-1-1-22-1-12-1-12-1-1-2-2222200-1-1-1-1-21-2-2111111110-2-200-2-20022-1-1-1-1220000000000110-2111100-1-1-1-1002-200-1-1000000100
χ22222222-122-1-122-1222-1-1-22-1-12-1-12-1-1-2-222-2-200-1-1-1-1-21-2-2111111110-2200220022-1-111-2-200000000001-10-211-1-100-1-11100-220011000000-100
χ23222222-122-1-122-1222-1-1-22-1-12-1-12-1-1-2-2-2-22200-1-1-1-1-21-2-21111111102-200-2-200-2-211-1-1220000000000-1102-1-1110011-1-100-220011000000-100
χ24222222-122-1-122-1222-1-1-22-1-12-1-12-1-1-2-2-2-2-2-200-1-1-1-1-21-2-211111111022002200-2-21111-2-20000000000-1-102-1-1-1-1001111002-200-1-1000000100
χ2522222-12-1222-122-12-12-12-12-1-12-1-12-1-1-1002222-1-1-1-122-1-122-1-1-1-1-1-120222-1-1-1-1000022-1-1-1-12222-1-1-1-1022000-1-1-1-100-1-1-1-1000000-1-10000000
χ2622222-12-1222-122-12-12-12-12-1-12-1-12-1-1-10022-2-2-1-1-1-122-1-122-1-1-1-1-1-1-202-2-2-1-111000022-1-111-2-2-2-2111102-2000-1-11100-1-111000000110000000
χ2722222-12-1222-122-12-12-12-12-1-12-1-12-1-1-100-2-222-1-1-1-122-1-122-1-1-1-1-1-120-22211-1-10000-2-211-1-1-2-2-2-211110-2200011-1-10011-1-1000000110000000
χ2822222-12-1222-122-12-12-12-12-1-12-1-12-1-1-100-2-2-2-2-1-1-1-122-1-122-1-1-1-1-1-1-20-2-2-211110000-2-211112222-1-1-1-10-2-20001111001111000000-1-10000000
χ2922222-12-1222-122-12-12-1-2-12-1-12-1-12-111002222-1-1-1-1-2-211-2-2111111-20-22211-1-1000022-1-111-2-22211110-2-200011-1-100-1-111000000-1-10000000
χ3022222-12-1222-122-12-12-1-2-12-1-12-1-12-1110022-2-2-1-1-1-1-2-211-2-211111120-2-2-21111000022-1-1-1-122-2-2-1-1-1-10-22000111100-1-1-1-1000000110000000
χ3122222-12-1222-122-12-12-1-2-12-1-12-1-12-11100-2-222-1-1-1-1-2-211-2-2111111-20222-1-1-1-10000-2-2111122-2-2-1-1-1-102-2000-1-1-1-1001111000000110000000
χ3222222-12-1222-122-12-12-1-2-12-1-12-1-12-11100-2-2-2-2-1-1-1-1-2-211-2-2111111202-2-2-1-1110000-2-211-1-1-2-2221111022000-1-1110011-1-1000000-1-10000000
χ332222-1222-1222-122-1-1-122-1-12-1-12-1-1222220022-1-1-1-1-12-1-1-1-122-1-1-1-1220-1-10022-1-1220000220000000020-1-1-1-100-1-1-1-100-1-100220000-1-1000-10
χ342222-1222-1222-122-1-1-122-1-12-1-12-1-12222200-2-2-1-1-1-1-12-1-1-1-122-1-1-1-1-2201100-2-2-1-1220000-2-200000000201-1-1-10011-1-1001100-2-200001100010
χ352222-1222-1222-122-1-1-122-1-12-1-12-1-1222-2-20022-1-1-1-1-12-1-1-1-122-1-1-1-12-20-1-1002211-2-200002200000000-20-111100-1-11100-1-100-2-200001100010
χ362222-1222-1222-122-1-1-122-1-12-1-12-1-1222-2-200-2-2-1-1-1-1-12-1-1-1-122-1-1-1-1-2-201100-2-211-2-20000-2-200000000-201111001111001100220000-1-1000-10
χ372222-1222-1222-122-1-1-12-2-1-12-1-12-1-12-2-2220022-1-1-1-11-21111-2-21111-2-20-1-10022-1-1220000-2-200000000-20111100-1-1-1-10011002-20000-1-100010
χ382222-1222-1222-122-1-1-12-2-1-12-1-12-1-12-2-22200-2-2-1-1-1-11-21111-2-211112-201100-2-2-1-12200002200000000-20-11110011-1-100-1-100-22000011000-10
χ392222-1222-1222-122-1-1-12-2-1-12-1-12-1-12-2-2-2-20022-1-1-1-11-21111-2-21111-220-1-1002211-2-20000-2-200000000201-1-1-100-1-111001100-22000011000-10
χ402222-1222-1222-122-1-1-12-2-1-12-1-12-1-12-2-2-2-200-2-2-1-1-1-11-21111-2-211112201100-2-211-2-20000220000000020-1-1-1-100111100-1-1002-20000-1-100010
χ412-22-22222-22-2-2-2-2-2222202-22-22-2-2-2-2002i−2i000022-2-20000000000000000000002i−2i2i−2i0000002-20022-2-200000000002i−2i000000000000002i−2i000
χ422-22-22222-22-2-2-2-2-2222202-22-22-2-2-2-2002i−2i000022-2-20000000000000000000002i−2i2i−2i000000-2200-2-22200000000002i−2i00000000000000−2i2i000
χ432-22-22222-22-2-2-2-2-2222202-22-22-2-2-2-200−2i2i000022-2-2000000000000000000000−2i2i−2i2i0000002-20022-2-20000000000−2i2i00000000000000−2i2i000
χ442-22-22222-22-2-2-2-2-2222202-22-22-2-2-2-200−2i2i000022-2-2000000000000000000000−2i2i−2i2i000000-2200-2-2220000000000−2i2i000000000000002i−2i000
χ452-2-22222-22-222-2-2-2-22220-22-22-22-2-2-200002i−2i2-22-22-20000000000000002-2002-200002i−2i2i−2i00002i−2i0000000000002-2002i−2i000000002i−2i0000000
χ462-2-22222-22-222-2-2-2-22220-22-22-22-2-2-200002i−2i-222-22-2000000000000000-2200-2200002i−2i2i−2i0000−2i2i000000000000-22002i−2i00000000−2i2i0000000
χ472-2-22222-22-222-2-2-2-22220-22-22-22-2-2-20000−2i2i2-22-22-20000000000000002-2002-20000−2i2i−2i2i0000−2i2i0000000000002-200−2i2i00000000−2i2i0000000
χ482-2-22222-22-222-2-2-2-22220-22-22-22-2-2-20000−2i2i-222-22-2000000000000000-2200-220000−2i2i−2i2i00002i−2i000000000000-2200−2i2i000000002i−2i0000000
χ492-2-222-1212-22-1-2-21-2-12-10121-1-2-11-213−3002i−2i2-2-11-11003−3003−333−3−30002-2−i3i3-1100002i−2i−ii3−3002i−2i−i3i3−i3i3000000−i3i3-1100−ii3−3000000−ii0000000
χ502-2-222-1212-22-1-2-21-2-12-10121-1-2-11-213−3002i−2i-22-11-11003−3003−333−3−3000-22−i3i31-100002i−2i−ii−3300−2i2ii3−i3i3−i3000000−i3i31-100−ii−33000000i−i0000000
χ512-2-222-1212-22-1-2-21-2-12-10121-1-2-11-213−300−2i2i2-2-11-11003−3003−333−3−30002-2i3−i3-110000−2i2ii−i3−300−2i2ii3−i3i3−i3000000i3−i3-1100i−i3−3000000i−i0000000
χ522-2-222-1212-22-1-2-21-2-12-10121-1-2-11-213−300−2i2i-22-11-11003−3003−333−3−3000-22i3−i31-10000−2i2ii−i−33002i−2i−i3i3−i3i3000000i3−i31-100i−i−33000000−ii0000000
χ532-2-222-1212-22-1-2-21-2-12-10121-1-2-11-21−33002i−2i2-2-11-1100−3300−33−3−3330002-2i3−i3-1100002i−2i−ii−33002i−2ii3−i3i3−i3000000i3−i3-1100−ii−33000000−ii0000000
χ542-2-222-1212-22-1-2-21-2-12-10121-1-2-11-21−33002i−2i-22-11-1100−3300−33−3−333000-22i3−i31-100002i−2i−ii3−300−2i2i−i3i3−i3i3000000i3−i31-100−ii3−3000000i−i0000000
χ552-2-222-1212-22-1-2-21-2-12-10121-1-2-11-21−3300−2i2i2-2-11-1100−3300−33−3−3330002-2−i3i3-110000−2i2ii−i−3300−2i2i−i3i3−i3i3000000−i3i3-1100i−i−33000000i−i0000000
χ562-2-222-1212-22-1-2-21-2-12-10121-1-2-11-21−3300−2i2i-22-11-1100−3300−33−3−333000-22−i3i31-10000−2i2ii−i3−3002i−2ii3−i3i3−i3000000−i3i31-100i−i3−3000000−ii0000000
χ5744444-2-2-24-2-2-24-2-24-2-214-2-21-2-21-2-21-2-200440011114-2-2-2-2-211111100400-2-2000000-2-2-2-200000000000-200001100001100000000000000000
χ5844444-2-2-24-2-2-24-2-24-2-214-2-21-2-21-2-21-2-200-4-40011114-2-2-2-2-211111100-4002200000022220000000000020000-1-10000-1-100000000000000000
χ5944444-2-2-24-2-2-24-2-24-2-21-4-2-21-2-21-2-21220044001111-422222-1-1-1-1-1-100-40022000000-2-2-2-20000000000020000-1-100001100000000000000000
χ6044444-2-2-24-2-2-24-2-24-2-21-4-2-21-2-21-2-212200-4-4001111-422222-1-1-1-1-1-100400-2-2000000222200000000000-20000110000-1-100000000000000000
χ614444-24-24-2-2-24-2-24-2-21-24-21-2-21-2-21-2444400001111-2-2-2-211-2-21111040000000-2-2-2-200000000000000-200-2110000110000000000000000000
χ624444-24-24-2-2-24-2-24-2-21-24-21-2-21-2-21-244-4-400001111-2-2-2-211-2-211110-400000002222000000000000002002-1-10000-1-10000000000000000000
χ634444-24-24-2-2-24-2-24-2-21-2-4-21-2-21-2-21-2-4-444000011112222-1-122-1-1-1-10-40000000-2-2-2-2000000000000002002-1-10000110000000000000000000
χ644444-24-24-2-2-24-2-24-2-21-2-4-21-2-21-2-21-2-4-4-4-4000011112222-1-122-1-1-1-1040000000222200000000000000-200-2110000-1-10000000000000000000
χ654444-2-24-2-244-2-24-2-21-2-241-2-21-2-21-2-2-2-20000441111-2411-2-2-2-21111400-2-200-2-200000000-2-20000000000-20000011000011000000000000000
χ664444-2-24-2-244-2-24-2-21-2-241-2-21-2-21-2-2-2-20000-4-41111-2411-2-2-2-21111-40022002200000000220000000000200000-1-10000-1-1000000000000000
χ674444-2-24-2-244-2-24-2-21-2-2-41-2-21-2-21-2-22200004411112-4-1-12222-1-1-1-1-400-2-200-2-200000000220000000000200000110000-1-1000000000000000
χ684444-2-24-2-244-2-24-2-21-2-2-41-2-21-2-21-2-2220000-4-411112-4-1-12222-1-1-1-140022002200000000-2-20000000000-200000-1-1000011000000000000000
χ6944-4-4444-4-4-4-4-4444-44440-4-4-4-4-4-4444000000004-4-440000000000000000000000000000000000000000000000000000000000000000000000
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χ784-44-44-24-2-44-42-4-424-24-20-2-4-22422-4200000000-2-22200000000000000000000000000000004-400-2-2220000000000000000000000000000000
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χ814-44-4-244424-4-42-4-4-2-2-240-2242-2-422-400−4i4i0000-2-2220000000000000000000002i−2i−4i4i0000000000000000000000002i−2i0000000000000000000
χ824-44-4-24-242-22-422-4-2-21-20-2-1-22122-12004i−4i000011-1-100003i−3i003i−3i3i−3i000000000−2i2i−2i2i0000000000000000003-30000i−i0000000000000000000
χ834-44-4-24-242-22-422-4-2-21-20-2-1-22122-12004i−4i000011-1-10000−3i3i00−3i3i−3i3i000000000−2i2i−2i2i000000000000000000-330000i−i0000000000000000000
χ844-44-4-24-242-22-422-4-2-21-20-2-1-22122-1200−4i4i000011-1-100003i−3i003i−3i3i−3i0000000002i−2i2i−2i000000000000000000-330000−ii0000000000000000000
χ854-44-4-24-242-22-422-4-2-21-20-2-1-22122-1200−4i4i000011-1-10000−3i3i00−3i3i−3i3i0000000002i−2i2i−2i0000000000000000003-30000−ii0000000000000000000
χ864-4-4444-2-442-24-42-4-44-2-20-4-2242-2-42200004i−4i00-22-220000000000000000000000000−2i2i4i−4i0000000000000000000000−2i2i00000000000000000
χ874-4-4444-2-442-24-42-4-44-2-20-4-2242-2-4220000−4i4i00-22-2200000000000000000000000002i−2i−4i4i00000000000000000000002i−2i00000000000000000
χ884-4-444-2-2242-2-2-422-4-2-2102-2-1-22122-123−23004i−4i001-11-10023−2300−33−3−33300000−2i32i3000000−2i2i−2i2i0000000000000000i3−i30000i−i00000000000000000
χ894-4-444-2-2242-2-2-422-4-2-2102-2-1-22122-123−2300−4i4i001-11-10023−2300−33−3−333000002i3−2i30000002i−2i2i−2i0000000000000000−i3i30000−ii00000000000000000
χ904-4-444-2-2242-2-2-422-4-2-2102-2-1-22122-1−2323004i−4i001-11-100−2323003−333−3−3000002i3−2i3000000−2i2i−2i2i0000000000000000−i3i30000i−i00000000000000000
χ914-4-444-2-2242-2-2-422-4-2-2102-2-1-22122-1−232300−4i4i001-11-100−2323003−333−3−300000−2i32i30000002i−2i2i−2i0000000000000000i3−i30000−ii00000000000000000
χ924-4-44-244-4-2-4442-4-42-2-2402-2-4-22422-40000004-4-22-22000000000000000-22004-400000000000000000000000000-22000000000000000000000
χ934-4-44-244-4-2-4442-4-42-2-2402-2-4-22422-4000000-44-22-220000000000000002-200-44000000000000000000000000002-2000000000000000000000
χ944-4-44-2-242-2-44-22-4221-2-20-1-2212-2-12223−2300004-41-11-100−330023−23−3−333000-2200-220000000023−2300000000000000001-10000−33000000000000000
χ954-4-44-2-242-2-44-22-4221-2-20-1-2212-2-12223−230000-441-11-100−330023−23−3−3330002-2002-200000000−23230000000000000000-1100003−3000000000000000
χ964-4-44-2-242-2-44-22-4221-2-20-1-2212-2-122−232300004-41-11-1003−300−232333−3−3000-2200-2200000000−232300000000000000001-100003−3000000000000000
χ974-4-44-2-242-2-44-22-4221-2-20-1-2212-2-122−23230000-441-11-1003−300−232333−3−30002-2002-20000000023−230000000000000000-110000−33000000000000000
χ988888-4-4-4-4-4-4-4-4-4-4-4-42228222222222-4-4000000-1-1-1-1-4-4222222-1-1-1-10000000000000000000000000000000000000000000000000000000000
χ998888-4-4-4-4-4-4-4-4-4-4-4-4222-822222222244000000-1-1-1-144-2-2-2-2-2-211110000000000000000000000000000000000000000000000000000000000
χ10088-8-88-4-44-84448-4-4-8-4-42044-244-2-4-42000000002-2-220000000000000000000000000000000000000000000000000000000000000000000000
χ10188-8-8-48-4-8444-8-4-484-42-404-244-24-42-4000000002-2-220000000000000000000000000000000000000000000000000000000000000000000000
χ10288-8-8-4-4844-8-84-48-442-4-40-244-2442-4-4000000002-2-220000000000000000000000000000000000000000000000000000000000000000000000
χ10388-8-8-4-4-444444-4-4-442220-2-2-2-2-2-222200000000-111-100000000−3i33i33i3−3i30000000000000000000000000000000000000000000000000000000000
χ10488-8-8-4-4-444444-4-4-442220-2-2-2-2-2-222200000000-111-1000000003i3−3i3−3i33i30000000000000000000000000000000000000000000000000000000000
χ1058-88-88-4-4-4-8-444-8448-4-420-4424-4-244-20000000022-2-20000000000000000000000000000000000000000000000000000000000000000000000
χ1068-88-8-4-48-448-844-84-42-4-4024-4-2-44-2440000000022-2-20000000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-8-4-4-4-44-444444-422202-22-22-2-2-2-200000000-1-11100006i−6i00−3i3i−3i3i0000000000000000000000000000000000000000000000000000000000
χ1088-88-8-4-4-4-44-444444-422202-22-22-2-2-2-200000000-1-1110000−6i6i003i−3i3i−3i0000000000000000000000000000000000000000000000000000000000
χ1098-8-88-48-4-8-44-4844-84-42-40424-4-2-44-24000000002-22-20000000000000000000000000000000000000000000000000000000000000000000000
χ1108-8-88-4-4-44-44-4-444442220-22-22-22-2-2-243−43000000-11-1100−232300−232333−3−30000000000000000000000000000000000000000000000000000000000
χ1118-8-88-4-4-44-44-4-444442220-22-22-22-2-2-2−4343000000-11-110023−230023−23−3−3330000000000000000000000000000000000000000000000000000000000

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