Finite Group Databasebeta

← Group #13168037

Character table — Group #13168037

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size11112222222222224444444444444446666668888888888888888121212121212121212121212121212121212121818181818181818242424242424242424242424242424243636363636363636363654547272108
order1222333666666666333466666666612122222443666121212121212121212121212444666666661212121212121212444412121212666612121212121212121212121222446612121212446124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-111111111111111111-1111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111-11111-1-1-1-111-1-111-1-1-1-1-1-11-1-1
χ3111111111111111111111111111111111-1-111111111111111111111-111-1-111-1-111-1-11111-1-1-1-1-1-1-1-111-1-11-11111-1-11111-1-111-1-1-1-111-1-1-11-1
χ4111111111111111111111111111111111-1-1-1-111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-11-11-111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11
χ51111111111111111111111111111111-1-111111111111111111111-111-1-111-1-1111111111111111111-1-111-11-11-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1
χ61111111111111111111111111111111-1-111-1-11111111111111111-1-11-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-111
χ71111111111111111111111111111111-1-1-1-1111111111111111111-11-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-111-1-1-1-1111-11
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
χ91111111111111111111-1111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111-11-1111111-1-1-1-11
χ101111111111111111111-1111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-111-1-111-1-111111111-1-1-11-1-1-1-111-1-11-1-1111-1-1-1-111-11-1
χ111111111111111111111-1111111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-11111-1-11111-1-1111111-1-1-11-1-1-1-111-1-111-111-1-1-1-1-111111-1-1
χ121111111111111111111-1111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-11-11-1-11111-1-1-11-11-1-111-1-1-1-1111
χ131111111111111111111-1111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1-11111-1-1-1-111-1-111-1-1-1-1-1-1111-11-111-1-1-1-111-11-11-1-111-1-11111-1
χ141111111111111111111-1111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-111-1-1-1-111-1-111-1-11111-1-1111-11111-1-111-1-1-111-1-1-1-1-111-1-11-11
χ151111111111111111111-1111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-1111-11111-1-1111-1-1111-1-1-1-1-1-1-111
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-11-11-111111111-1-1-1
χ17222222-12-1-1-1222222-1-122-1-1-1-12-1-1222222200-1-1-1-1-12-1-1-1-122-1-1-1-12022222-1-1-1-10022000000000000-1-1-1-1-1-120-1-1-1-100002200-1-1000000-100
χ18222222-12-1-1-1222222-1-122-1-1-1-12-1-122222-2-200-1-1-1-1-12-1-1-1-122-1-1-1-120-222-2-2-1-11100-2-2000000000000-1-111-1120-1-1110000-2-20011000000100
χ19222222-12-1-1-1222222-1-122-1-1-1-12-1-1222-2-22200-1-1-1-1-12-1-1-1-122-1-1-1-1-202-2-22211-1-1002200000000000011-1-11-1-2011-1-10000-2-20011000000100
χ20222222-12-1-1-1222222-1-122-1-1-1-12-1-1222-2-2-2-200-1-1-1-1-12-1-1-1-122-1-1-1-1-20-2-2-2-2-2111100-2-2000000000000111111-20111100002200-1-1000000-100
χ21222222-12-1-1-1222222-1-1-22-1-1-1-12-1-12-2-2222200-1-1-1-11-21111-2-21111-20-22222-1-1-1-100-2-2000000000000-1-1-1-111-20111100002-200-1-1000000100
χ22222222-12-1-1-1222222-1-1-22-1-1-1-12-1-12-2-222-2-200-1-1-1-11-21111-2-21111-20222-2-2-1-1110022000000000000-1-1111-1-2011-1-10000-220011000000-100
χ23222222-12-1-1-1222222-1-1-22-1-1-1-12-1-12-2-2-2-22200-1-1-1-11-21111-2-2111120-2-2-22211-1-100-2-200000000000011-1-1-1120-1-1110000-220011000000-100
χ24222222-12-1-1-1222222-1-1-22-1-1-1-12-1-12-2-2-2-2-2-200-1-1-1-11-21111-2-21111202-2-2-2-2111100220000000000001111-1-120-1-1-1-100002-200-1-1000000100
χ2522222-122222-12-1-12-12-12-12-12-1-12-1-1-1-1002222-1-1-1-12222-1-1-1-1-1-1-1-102200-1-10022-1-1-1-1-1-1222222-1-1-1-100-1-1020200-1-1-1-1-1-1000000-1-10000000
χ2622222-122222-12-1-12-12-12-12-12-1-12-1-1-1-10022-2-2-1-1-1-12222-1-1-1-1-1-1-1-10-2200-1-1002211-1-111-2-2-2-2-2-2111100-1-1020-200-1-11111000000110000000
χ2722222-122222-12-1-12-12-12-12-12-1-12-1-1-1-100-2-222-1-1-1-12222-1-1-1-1-1-1-1-102-2001100-2-2-1-111-1-122-2-2-2-2111100110-2020011-1-1-1-1000000110000000
χ2822222-122222-12-1-12-12-12-12-12-1-12-1-1-1-100-2-2-2-2-1-1-1-12222-1-1-1-1-1-1-1-10-2-2001100-2-2111111-2-22222-1-1-1-100110-20-200111111000000-1-10000000
χ2922222-122222-12-1-12-12-1-2-12-12-1-12-1-111002222-1-1-1-1-2-2-2-2111111110-2-200-1-10022-1-1111122-2-222111100-1-10-20-2001111-1-1000000-1-10000000
χ3022222-122222-12-1-12-12-1-2-12-12-1-12-1-1110022-2-2-1-1-1-1-2-2-2-21111111102-200-1-100221111-1-1-2-222-2-2-1-1-1-100-1-10-2020011-1-111000000110000000
χ3122222-122222-12-1-12-12-1-2-12-12-1-12-1-11100-2-222-1-1-1-1-2-2-2-2111111110-22001100-2-2-1-1-1-1112222-2-2-1-1-1-10011020-200-1-111-1-1000000110000000
χ3222222-122222-12-1-12-12-1-2-12-12-1-12-1-11100-2-2-2-2-1-1-1-1-2-2-2-211111111022001100-2-211-1-1-1-1-2-2-2-22211110011020200-1-1-1-111000000-1-10000000
χ332222-122-12222-122-1-1-122-1-12-12-1-12-122220022-1-1-1-12-1-1-122-1-1-1-1-1-1220-1-1002200220022-1-100000000-1-10020-1-1-1-100-1-1-1-100220000-1-1000-10
χ342222-122-12222-122-1-1-122-1-12-12-1-12-1222200-2-2-1-1-1-12-1-1-122-1-1-1-1-1-12-20-1-1002200-2-200-2-21100000000-1-10020-11-1-100111100-2-200001100010
χ352222-122-12222-122-1-1-122-1-12-12-1-12-122-2-20022-1-1-1-12-1-1-122-1-1-1-1-1-1-2201100-2-200220022-1-1000000001100-201-11100-1-1-1-100-2-200001100010
χ362222-122-12222-122-1-1-122-1-12-12-1-12-122-2-200-2-2-1-1-1-12-1-1-122-1-1-1-1-1-1-2-201100-2-200-2-200-2-211000000001100-20111100111100220000-1-1000-10
χ372222-122-12222-122-1-1-12-2-1-12-12-1-12-1-2-2220022-1-1-1-1-2111-2-2111111-2-20-1-10022002200-2-2-1-100000000-1-100-2011110011-1-1002-20000-1-100010
χ382222-122-12222-122-1-1-12-2-1-12-12-1-12-1-2-22200-2-2-1-1-1-1-2111-2-2111111-220-1-1002200-2-200221100000000-1-100-201-11100-1-11100-22000011000-10
χ392222-122-12222-122-1-1-12-2-1-12-12-1-12-1-2-2-2-20022-1-1-1-1-2111-2-21111112-201100-2-2002200-2-2-1-100000000110020-11-1-10011-1-100-22000011000-10
χ402222-122-12222-122-1-1-12-2-1-12-12-1-12-1-2-2-2-200-2-2-1-1-1-1-2111-2-21111112201100-2-200-2-200221100000000110020-1-1-1-100-1-111002-20000-1-100010
χ4122-2-2222-2-22-2-222-2-22220-2-22-2-222-2-200002-22i−2i22-2-2000000000000000002-2002-22i−2i00002i−2i002i−2i0000002-200000000002i−2i0000002i−2i0000000
χ4222-2-2222-2-22-2-222-2-22220-2-22-2-222-2-200002-2−2i2i22-2-2000000000000000002-2002-2−2i2i0000−2i2i00−2i2i0000002-20000000000−2i2i000000−2i2i0000000
χ4322-2-2222-2-22-2-222-2-22220-2-22-2-222-2-20000-222i−2i22-2-200000000000000000-2200-222i−2i00002i−2i00−2i2i000000-2200000000002i−2i000000−2i2i0000000
χ4422-2-2222-2-22-2-222-2-22220-2-22-2-222-2-20000-22−2i2i22-2-200000000000000000-2200-22−2i2i0000−2i2i002i−2i000000-220000000000−2i2i0000002i−2i0000000
χ4522-2-22-12-2-22-212-11-2-12-101-2-1-21-12113−3002-22i−2i-1-11100003−33−333−3−300000-11002-2−ii3−3−i3i32i−2i002i−2i−i3−i3i3i300-110000003−3−i3i3−ii000000−ii0000000
χ4622-2-22-12-2-22-212-11-2-12-101-2-1-21-12113−3002-2−2i2i-1-11100003−33−333−3−300000-11002-2i−i3−3i3−i3−2i2i00−2i2ii3i3−i3−i300-110000003−3i3−i3i−i000000i−i0000000
χ4722-2-22-12-2-22-212-11-2-12-101-2-1-21-12113−300-222i−2i-1-11100003−33−333−3−3000001-100-22−ii−33−i3i32i−2i00−2i2ii3i3−i3−i3001-1000000−33−i3i3−ii000000i−i0000000
χ4822-2-22-12-2-22-212-11-2-12-101-2-1-21-12113−300-22−2i2i-1-11100003−33−333−3−3000001-100-22i−i−33i3−i3−2i2i002i−2i−i3−i3i3i3001-1000000−33i3−i3i−i000000−ii0000000
χ4922-2-22-12-2-22-212-11-2-12-101-2-1-21-1211−33002-22i−2i-1-1110000−33−33−3−33300000-11002-2−ii−33i3−i32i−2i002i−2ii3i3−i3−i300-11000000−33i3−i3−ii000000−ii0000000
χ5022-2-22-12-2-22-212-11-2-12-101-2-1-21-1211−33002-2−2i2i-1-1110000−33−33−3−33300000-11002-2i−i−33−i3i3−2i2i00−2i2i−i3−i3i3i300-11000000−33−i3i3i−i000000i−i0000000
χ5122-2-22-12-2-22-212-11-2-12-101-2-1-21-1211−3300-222i−2i-1-1110000−33−33−3−333000001-100-22−ii3−3i3−i32i−2i00−2i2i−i3−i3i3i3001-10000003−3i3−i3−ii000000i−i0000000
χ5222-2-22-12-2-22-212-11-2-12-101-2-1-21-1211−3300-22−2i2i-1-1110000−33−33−3−333000001-100-22i−i3−3−i3i3−2i2i002i−2ii3i3−i3−i3001-10000003−3−i3i3i−i000000−ii0000000
χ532-22-22222-2-22-2-2-22-2222022-2-2-2-2-22-2002-200002-22-20000000000000002-2002-200000000002i−2i002i−2i2i−2i2-20000000000000000000000002i−2i000
χ542-22-22222-2-22-2-2-22-2222022-2-2-2-2-22-2002-200002-22-20000000000000002-2002-20000000000−2i2i00−2i2i−2i2i2-2000000000000000000000000−2i2i000
χ552-22-22222-2-22-2-2-22-2222022-2-2-2-2-22-200-2200002-22-2000000000000000-2200-2200000000002i−2i002i−2i2i−2i-22000000000000000000000000−2i2i000
χ562-22-22222-2-22-2-2-22-2222022-2-2-2-2-22-200-2200002-22-2000000000000000-2200-220000000000−2i2i00−2i2i−2i2i-220000000000000000000000002i−2i000
χ5744444-2-24-2-2-2-24-2-24-2-214-2-21-21-2-21-2-2-20044001111-24-2-211-2-2111100400-2-200-2-200-2-200000000000000110-20000110000000000000000000
χ5844444-2-24-2-2-2-24-2-24-2-214-2-21-21-2-21-2-2-200-4-4001111-24-2-211-2-2111100-400220022002200000000000000-1-1020000-1-10000000000000000000
χ5944444-2-24-2-2-2-24-2-24-2-21-4-2-21-21-2-21-22200440011112-422-1-122-1-1-1-100-400-2-200-2-200220000000000000011020000-1-10000000000000000000
χ6044444-2-24-2-2-2-24-2-24-2-21-4-2-21-21-2-21-22200-4-40011112-422-1-122-1-1-1-10040022002200-2-200000000000000-1-10-20000110000000000000000000
χ614444-24-2-2-2-2-24-244-2-21-24-21-21-2-21-2-2444400001111-2-211-2-2-2-21111400-2-200-2-20000000000000000001100-20-2011000000000000000000000
χ624444-24-2-2-2-2-24-244-2-21-24-21-21-2-21-2-244-4-400001111-2-211-2-2-2-21111-400220022000000000000000000-1-1002020-1-1000000000000000000000
χ634444-24-2-2-2-2-24-244-2-21-2-4-21-21-2-21-2-2-4-4440000111122-1-12222-1-1-1-1-400-2-200-2-200000000000000000011002020-1-1000000000000000000000
χ644444-24-2-2-2-2-24-244-2-21-2-4-21-21-2-21-2-2-4-4-4-40000111122-1-12222-1-1-1-1400220022000000000000000000-1-100-20-2011000000000000000000000
χ654444-2-24-2444-2-2-2-2-21-2-241-2-2-2-21-2-21-2-200004411114-2-2-2-2-211111104000000000-2-200-2-2-2-2000000000000000-200001111000000000000000
χ664444-2-24-2444-2-2-2-2-21-2-241-2-2-2-21-2-21-2-20000-4-411114-2-2-2-2-21111110-40000000002200222200000000000000020000-1-1-1-1000000000000000
χ674444-2-24-2444-2-2-2-2-21-2-2-41-2-2-2-21-2-21220000441111-422222-1-1-1-1-1-10-4000000000-2-20022-2-200000000000000020000-1-111000000000000000
χ684444-2-24-2444-2-2-2-2-21-2-2-41-2-2-2-21-2-21220000-4-41111-422222-1-1-1-1-1-1040000000002200-2-222000000000000000-2000011-1-1000000000000000
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χ7344-4-44-2-2-42-2224-22-4-2-2102212-1-2-2-12−2323004-40011-1-100003−3−232333−3−300000-2200-2200−2323000000000000001-10000003−30000000000000000000
χ7444-4-44-2-2-42-2224-22-4-2-2102212-1-2-2-12−232300-440011-1-100003−3−232333−3−3000002-2002-20023−2300000000000000-11000000−330000000000000000000
χ7544-4-4-2442-44-4-4-24-42-2-2402242-4-2-2-420000004i−4i-2-222000000000000000000000004i−4i0000−2i2i0000000000000000000000−2i2i000000000000000
χ7644-4-4-2442-44-4-4-24-42-2-2402242-4-2-2-42000000−4i4i-2-22200000000000000000000000−4i4i00002i−2i00000000000000000000002i−2i000000000000000
χ7744-4-4-2-242-44-42-2-2221-2-20-12-2221-22-123−2300004i−4i11-1-1000023−23−33−3−33300000000000−2i2i00−2i32i3−2i2i00000000000000000000i3−i3i−i000000000000000
χ7844-4-4-2-242-44-42-2-2221-2-20-12-2221-22-123−230000−4i4i11-1-1000023−23−33−3−333000000000002i−2i002i3−2i32i−2i00000000000000000000−i3i3−ii000000000000000
χ7944-4-4-2-242-44-42-2-2221-2-20-12-2221-22-1−232300004i−4i11-1-10000−23233−333−3−300000000000−2i2i002i3−2i3−2i2i00000000000000000000−i3i3i−i000000000000000
χ8044-4-4-2-242-44-42-2-2221-2-20-12-2221-22-1−23230000−4i4i11-1-10000−23233−333−3−3000000000002i−2i00−2i32i32i−2i00000000000000000000i3−i3−ii000000000000000
χ814-44-444-2422-2-4-4-44-44-2-204-2222-42-2-4004-40000-22-220000000000000004-400-22000000000000000000-2200000000000000000000000000000
χ824-44-444-2422-2-4-4-44-44-2-204-2222-42-2-400-440000-22-22000000000000000-44002-20000000000000000002-200000000000000000000000000000
χ834-44-44-244-4-442-42-2-4-24-20-242-422-4-2200000000-22-2200000000000000000000000000000004i−4i00−2i2i−2i2i0000000000000000000000000000000
χ844-44-44-244-4-442-42-2-4-24-20-242-422-4-2200000000-22-220000000000000000000000000000000−4i4i002i−2i2i−2i0000000000000000000000000000000
χ854-44-4-244-2-4-44-42-442-2-240-2-2-42-42242004-40000-22-22000000000000000-22004-4000000000000000000-2200000000000000000000000000000
χ864-44-4-244-2-4-44-42-442-2-240-2-2-42-4224200-440000-22-220000000000000002-200-440000000000000000002-200000000000000000000000000000
χ874-44-4-24-2-222-2-42-442-21-20-212-122-1-22004-400001-11-1003i−3i00003i−3i3i−3i000-2200-220000000000000000001-10000003i−3i000000000000000000000
χ884-44-4-24-2-222-2-42-442-21-20-212-122-1-22004-400001-11-100−3i3i0000−3i3i−3i3i000-2200-220000000000000000001-1000000−3i3i000000000000000000000
χ894-44-4-24-2-222-2-42-442-21-20-212-122-1-2200-4400001-11-1003i−3i00003i−3i3i−3i0002-2002-2000000000000000000-11000000−3i3i000000000000000000000
χ904-44-4-24-2-222-2-42-442-21-20-212-122-1-2200-4400001-11-100−3i3i0000−3i3i−3i3i0002-2002-2000000000000000000-110000003i−3i000000000000000000000
χ914-4-44444-44-4-44-4-4-444440-4-4-444-4-4-44000000004-4-440000000000000000000000000000000000000000000000000000000000000000000000
χ924-4-4444-2-4-2224-4-4-444-2-20-422-2-2-422400000000-222-200000000000000000000000000000000000000000000000000000000000−2i32i3000000000
χ934-4-4444-2-4-2224-4-4-444-2-20-422-2-2-422400000000-222-2000000000000000000000000000000000000000000000000000000000002i3−2i3000000000
χ944-4-444-24-44-4-4-2-4224-24-202-424-22-42-200000000-222-20000000000000000000000000000000000023−23−23230000000000000000000000000000000
χ954-4-444-24-44-4-4-2-4224-24-202-424-22-42-200000000-222-200000000000000000000000000000000000−232323−230000000000000000000000000000000
χ964-4-44-24424-4-442-4-4-2-2-24022-4-2422-4-200000000-222-2000000000000000000000000000000000000000000000000000000000000000−2i32i300000
χ974-4-44-24424-4-442-4-4-2-2-24022-4-2422-4-200000000-222-20000000000000000000000000000000000000000000000000000000000000002i3−2i300000
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
χ10088-8-8-48-444-44-8-48-84-42-404-2-4-24-42440000000022-2-20000000000000000000000000000000000000000000000000000000000000000000000
χ10188-8-8-4-4-444-444-4-4442220-2-22-2-222-2-243−43000000-1-1110000−2323−232333−3−30000000000000000000000000000000000000000000000000000000000
χ10288-8-8-4-4-444-444-4-4442220-2-22-2-222-2-2−4343000000-1-111000023−2323−23−3−3330000000000000000000000000000000000000000000000000000000000
χ1038-88-88-4-4844-44-84-4-8-4-420-4-4-24-24424000000002-22-20000000000000000000000000000000000000000000000000000000000000000000000
χ1048-88-8-4-48-4-8-88444-442-4-402-4444-24-4-2000000002-22-20000000000000000000000000000000000000000000000000000000000000000000000
χ1058-88-8-4-4-4-444-4444-44222022-2-2-2-2-22-200000000-11-11006i−6i0000−3i3i−3i3i0000000000000000000000000000000000000000000000000000000000
χ1068-88-8-4-4-4-444-4444-44222022-2-2-2-2-22-200000000-11-1100−6i6i00003i−3i3i−3i0000000000000000000000000000000000000000000000000000000000
χ1078-8-888-4-4-8-444-4-8448-4-42044-2-4244-2-4000000002-2-220000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-88-48-44-44484-8-8-4-42-404-242-44-24-4000000002-2-220000000000000000000000000000000000000000000000000000000000000000000000
χ1098-8-88-4-4848-8-8-4444-42-4-40-244-4-4-2442000000002-2-220000000000000000000000000000000000000000000000000000000000000000000000
χ1108-8-88-4-4-44-444-4444-42220-2-2-222-2-2-2200000000-111-100000000−3i33i33i3−3i30000000000000000000000000000000000000000000000000000000000
χ1118-8-88-4-4-44-444-4444-42220-2-2-222-2-2-2200000000-111-1000000003i3−3i3−3i33i30000000000000000000000000000000000000000000000000000000000

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