Finite Group Databasebeta

← Group #13169250

Character table — Group #13169250

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size11112222222222224444444444444446666888888888888888812121212121212121212121212121212121212121818181818181818181818182424242424242424242424242424242436363636363636367272108108
order122233366666666633346666666661212444436661212121212121212121212122244666612121212121212121212121244444444121212126666661212121212121212121244121212121212121222
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111-1-111-1-1-1-111111111111111-1-1-1-1111111-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1
χ3111111111111111111111111111111111-1-11111111111111111111-1111111-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-11111111-111-1-111-1-11-111-1-1-1-11-1-1-1
χ4111111111111111111111111111111111-1-11111111111111111-1-11-1-1-1-1-111-1-111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111-1-1-11-1-111-1-1-1111
χ51111111111111111111111111111111-1-111111111111111111111-111111-1-111-1-111-1-111-1-1-1-111-1-1-1-1-1-1111111-11-1-111-1-111-11-1-111-1-1-11-1-1
χ61111111111111111111111111111111-1-1111111111111111111-1-1-11-1-1-1-1-1-111-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1111-111-1-1-1-11-111
χ71111111111111111111111111111111-1-1-1-1111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ81111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ91111111111111111111-1111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11-111-1-1-1-1-1-1-1-11111-1111-1-111-111-1
χ101111111111111111111-1111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111111111-1-1-1-111-1-111-1-1-1-1-1-1-11-1-111-1-1-1-1-1-111111-1-1-111111-1-11
χ111111111111111111111-1111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-111-1-111-1-1-1-111-1-111111111111-111-1-1-11-1-11111-1-1-1-11111-1-1-1-1-11
χ121111111111111111111-1111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-11111-1-111-1-1-1-111-1-1-1-1-1-1111111-11-1-111-11-1-11111-1-111-1-1-1-1-1-1111-1
χ131111111111111111111-1111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111111-111-1-11-111-1-1-1-11111-1-1-1-1-1-111-11
χ141111111111111111111-1111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-111-1-11111-1-1-1-11111111111-11-1-1111-111-1-1-1-111-1-11111-1-1-1-11-1
χ151111111111111111111-1111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-11-111-1-1111111-1-1-1-11-1-1-111111-11-1
χ161111111111111111111-1111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-111111111-1-1-1-1-1111-1-111-11-11
χ17222222-12-1222-12-122-1-122-1-1-1-12-12-1220022-1-1-1-12-1-1-122-1-1-1-1-1-1220222-1-1002200-1-10022000022000000-12-1-1-1-10-100-1-100-1-10200-1-1000-100
χ18222222-12-1222-12-122-1-122-1-1-1-12-12-1220022-1-1-1-12-1-1-122-1-1-1-1-1-1-2-202-2-211002200-1-100220000-2-20000001-211110-100-1-100-1-10-20011000100
χ19222222-12-1222-12-122-1-122-1-1-1-12-12-12200-2-2-1-1-1-12-1-1-122-1-1-1-1-1-1220-222-1-100-2-2001100-2-20000-2-2000000-12-1-1-1-101001100110-20011000100
χ20222222-12-1222-12-122-1-122-1-1-1-12-12-12200-2-2-1-1-1-12-1-1-122-1-1-1-1-1-1-2-20-2-2-21100-2-2001100-2-20000220000001-2111101001100110200-1-1000-100
χ21222222-12-1222-12-122-1-1-22-1-1-1-12-12-1-2-20022-1-1-1-1-2111-2-21111112-20-22211002200-1-100-2-20000-2-2000000-1-2-1-11101001100-1-1020011000-100
χ22222222-12-1222-12-122-1-1-22-1-1-1-12-12-1-2-20022-1-1-1-1-2111-2-2111111-220-2-2-2-1-1002200-1-100-2-20000220000001211-1-101001100-1-10-200-1-1000100
χ23222222-12-1222-12-122-1-1-22-1-1-1-12-12-1-2-200-2-2-1-1-1-1-2111-2-21111112-202221100-2-200110022000022000000-1-2-1-1110-100-1-100110-200-1-1000100
χ24222222-12-1222-12-122-1-1-22-1-1-1-12-12-1-2-200-2-2-1-1-1-1-2111-2-2111111-2202-2-2-1-100-2-2001100220000-2-20000001211-1-10-100-1-10011020011000-100
χ2522222-12-1222-12-122-12-12-12-1-1-1-12-12222200-1-1-1-1-12-1-1-1-122-1-1-1-12220-1-1222200-1-10022000022000000002-1-1-1-1-1-10-1-100-1-10020-1-10000-1000
χ2622222-12-1222-12-122-12-12-12-1-1-1-12-12222200-1-1-1-1-12-1-1-1-122-1-1-1-1-2-22011-2-22200-1-100220000-2-200000000-211111-10-1-100-1-100-201100001000
χ2722222-12-1222-12-122-12-12-12-1-1-1-12-1222-2-200-1-1-1-1-12-1-1-1-122-1-1-1-122-20-1-122-2-2001100-2-20000-2-2000000002-1-1-1-1-11011001100-201100001000
χ2822222-12-1222-12-122-12-12-12-1-1-1-12-1222-2-200-1-1-1-1-12-1-1-1-122-1-1-1-1-2-2-2011-2-2-2-2001100-2-200002200000000-211111101100110020-1-10000-1000
χ2922222-12-1222-12-122-12-1-2-12-1-1-1-12-12-2-22200-1-1-1-11-21111-2-211112-2-20-1-1-2-22200-1-100-2-20000220000000021-1-111101100-1-100-20-1-100001000
χ3022222-12-1222-12-122-12-1-2-12-1-1-1-12-12-2-22200-1-1-1-11-21111-2-21111-22-2011222200-1-100-2-20000-2-200000000-2-111-1-1101100-1-10020110000-1000
χ3122222-12-1222-12-122-12-1-2-12-1-1-1-12-12-2-2-2-200-1-1-1-11-21111-2-211112-220-1-1-2-2-2-2001100220000-2-20000000021-1-111-10-1-100110020110000-1000
χ3222222-12-1222-12-122-12-1-2-12-1-1-1-12-12-2-2-2-200-1-1-1-11-21111-2-21111-22201122-2-20011002200002200000000-2-111-1-1-10-1-1001100-20-1-100001000
χ332222-12222-1-12222-1-1-122-1-1222-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-100220000-1-1-1-12222-1-1-1-122000022-1-1-1-100000022-1-1-1-1-1-1-1-1000000-1-10000
χ342222-12222-1-12222-1-1-122-1-1222-1-1-1-1-1-122-2-2-1-1-1-12222-1-1-1-1-1-1-1-1002-20000-1-11122-2-2-1-111-2-20000-2-211110000002-2-1-111-1-111000000110000
χ352222-12222-1-12222-1-1-122-1-1222-1-1-1-1-1-1-2-222-1-1-1-12222-1-1-1-1-1-1-1-100-22000011-1-1-2-22211-1-1-2-20000-2-21111000000-2211-1-111-1-1000000110000
χ362222-12222-1-12222-1-1-122-1-1222-1-1-1-1-1-1-2-2-2-2-1-1-1-12222-1-1-1-1-1-1-1-100-2-200001111-2-2-2-2111122000022-1-1-1-1000000-2-211111111000000-1-10000
χ372222-12222-1-12222-1-1-12-2-1-1222-1-1-1-1112222-1-1-1-1-2-2-2-21111111100-2-20000-1-1-1-122221111220000-2-21111000000-2-21111-1-1-1-1000000-1-10000
χ382222-12222-1-12222-1-1-12-2-1-1222-1-1-1-11122-2-2-1-1-1-1-2-2-2-21111111100-220000-1-11122-2-211-1-1-2-2000022-1-1-1-1000000-2211-1-1-1-111000000110000
χ392222-12222-1-12222-1-1-12-2-1-1222-1-1-1-111-2-222-1-1-1-1-2-2-2-211111111002-2000011-1-1-2-222-1-111-2-2000022-1-1-1-10000002-2-1-11111-1-1000000110000
χ402222-12222-1-12222-1-1-12-2-1-1222-1-1-1-111-2-2-2-2-1-1-1-1-2-2-2-211111111002200001111-2-2-2-2-1-1-1-1220000-2-2111100000022-1-1-1-11111000000-1-10000
χ4122-2-222222-2-2-2-2-2-222220-2-22-2-222-2-2002i−2i2i−2i22-2-2000000000000000000002i−2i2i−2i2i−2i2i−2i00002-200000000000000000000002i−2i2i−2i0000002-20000
χ4222-2-222222-2-2-2-2-2-222220-2-22-2-222-2-2002i−2i−2i2i22-2-2000000000000000000002i−2i−2i2i2i−2i−2i2i0000-2200000000000000000000002i−2i−2i2i000000-220000
χ4322-2-222222-2-2-2-2-2-222220-2-22-2-222-2-200−2i2i2i−2i22-2-200000000000000000000−2i2i2i−2i−2i2i2i−2i0000-220000000000000000000000−2i2i2i−2i000000-220000
χ4422-2-222222-2-2-2-2-2-222220-2-22-2-222-2-200−2i2i−2i2i22-2-200000000000000000000−2i2i−2i2i−2i2i−2i2i00002-20000000000000000000000−2i2i−2i2i0000002-20000
χ4522-2-2-1222211-2-2-2-2-1-1-120112-2-2-1-1113−32i−2i2i−2i-1-11100003−33−333−3−300000000−ii−ii2i−2i2i−2i−i3i3−i3i32-200000033−3−300000000−i3i3−i3i3−ii−ii000000-110000
χ4622-2-2-1222211-2-2-2-2-1-1-120112-2-2-1-1113−32i−2i−2i2i-1-11100003−33−333−3−300000000−iii−i2i−2i−2i2i−i3i3i3−i3-22000000−3−33300000000−i3i3i3−i3−iii−i0000001-10000
χ4722-2-2-1222211-2-2-2-2-1-1-120112-2-2-1-1113−3−2i2i2i−2i-1-11100003−33−333−3−300000000i−i−ii−2i2i2i−2ii3−i3−i3i3-22000000−3−33300000000i3−i3−i3i3i−i−ii0000001-10000
χ4822-2-2-1222211-2-2-2-2-1-1-120112-2-2-1-1113−3−2i2i−2i2i-1-11100003−33−333−3−300000000i−ii−i−2i2i−2i2ii3−i3i3−i32-200000033−3−300000000i3−i3i3−i3i−ii−i000000-110000
χ4922-2-2-1222211-2-2-2-2-1-1-120112-2-2-1-111−332i−2i2i−2i-1-1110000−33−33−3−33300000000−ii−ii2i−2i2i−2ii3−i3i3−i32-2000000−3−33300000000i3−i3i3−i3−ii−ii000000-110000
χ5022-2-2-1222211-2-2-2-2-1-1-120112-2-2-1-111−332i−2i−2i2i-1-1110000−33−33−3−33300000000−iii−i2i−2i−2i2ii3−i3−i3i3-2200000033−3−300000000i3−i3−i3i3−iii−i0000001-10000
χ5122-2-2-1222211-2-2-2-2-1-1-120112-2-2-1-111−33−2i2i2i−2i-1-1110000−33−33−3−33300000000i−i−ii−2i2i2i−2i−i3i3i3−i3-2200000033−3−300000000−i3i3i3−i3i−i−ii0000001-10000
χ5222-2-2-1222211-2-2-2-2-1-1-120112-2-2-1-111−33−2i2i−2i2i-1-1110000−33−33−3−33300000000i−ii−i−2i2i−2i2i−i3i3−i3i32-2000000−3−33300000000−i3i3−i3i3i−ii−i000000-110000
χ532-2-22222-2-2-2222-2-2-2222022-22-2-2-2-2-20000002-22-200000000000000000000000000000000002i−2i2i−2i2-22-22-20000000000000000002i−2i2i−2i000000
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χ5944444-2-2-2-244-2-2-2-24-2-21-4-2-2111-2-2-2-2-4-40000111122-1-12222-1-1-1-14-400-2-222000000000000000000000000-2211-1-10000000000000000000000
χ6044444-2-2-2-244-2-2-2-24-2-21-4-2-2111-2-2-2-2-4-40000111122-1-12222-1-1-1-1-440022-2-20000000000000000000000002-2-1-1110000000000000000000000
χ614444-24-24-2-2-24-24-2-2-21-24-21-2-2-2-21-21-2-2004411114-2-2-2-2-21111110004000000-2-200-2-200-2-20000000000000000000-200110011000000000000
χ624444-24-24-2-2-24-24-2-2-21-24-21-2-2-2-21-21-2-200-4-411114-2-2-2-2-2111111000-400000022002200220000000000000000000200-1-100-1-1000000000000
χ634444-24-24-2-2-24-24-2-2-21-2-4-21-2-2-2-21-212200441111-422222-1-1-1-1-1-1000-4000000-2-200-2-200220000000000000000000200-1-10011000000000000
χ644444-24-24-2-2-24-24-2-2-21-2-4-21-2-2-2-21-212200-4-41111-422222-1-1-1-1-1-1000400000022002200-2-20000000000000000000-2001100-1-1000000000000
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χ814-44-4444-4-44-4-4-444-44440-4-4-4-44-4-4440000004-4-44000000000000000000000000000000000000000000000000000000000000000000000000
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χ864-44-44-2-2224-422-2-2-4-2-21022-1-1122-2-20000001-1-11003-300003-33-30000−2i32i3−2i32i300000000000000000000000000i3−i3i3−i30000000000000000000000
χ874-44-44-2-2224-422-2-2-4-2-21022-1-1122-2-20000001-1-11003-300003-33-300002i3−2i32i3−2i300000000000000000000000000−i3i3−i3i30000000000000000000000
χ884-44-44-2-2224-422-2-2-4-2-21022-1-1122-2-20000001-1-1100-330000-33-330000−2i32i32i3−2i300000000000000000000000000i3−i3−i3i30000000000000000000000
χ894-44-44-2-2224-422-2-2-4-2-21022-1-1122-2-20000001-1-1100-330000-33-3300002i3−2i3−2i32i300000000000000000000000000−i3i3i3−i30000000000000000000000
χ904-44-4-244-4-4-22-4-4442-2-24022-4-4422-2-2000000-222-2000000000000000000000000000000000000000023−23−23230000000000000000000000000000
χ914-44-4-244-4-4-22-4-4442-2-24022-4-4422-2-2000000-222-20000000000000000000000000000000000000000−232323−230000000000000000000000000000
χ924-4-4444-2-42-444-2-42-44-2-204-22-22-42-42000000-22-220000000000000000000000000000000000004i−4i00000000000000000000000000−2i2i000000
χ934-4-4444-2-42-444-2-42-44-2-204-22-22-42-42000000-22-22000000000000000000000000000000000000−4i4i000000000000000000000000002i−2i000000
χ944-4-444-242-4-44-242-4-4-24-20-242-222-42-4000000-22-2200000000000000000000000000000000004i−4i00000000000000000000000000−2i2i00000000
χ954-4-444-242-4-44-242-4-4-24-20-242-222-42-4000000-22-220000000000000000000000000000000000−4i4i000000000000000000000000002i−2i00000000
χ964-4-44-244-4-42-244-4-42-2-240-2-2-44-42222000000-22-22000000000000000000000000000000000000004-4-22-220000000000000000000000000000
χ974-4-44-244-4-42-244-4-42-2-240-2-2-44-42222000000-22-2200000000000000000000000000000000000000-442-22-20000000000000000000000000000
χ988888-4-4-4-4-4-4-4-4-4-4-4-42228222222222-4-40000-1-1-1-1-4-4222222-1-1-1-1000000000000000000000000000000000000000000000000000000000000
χ998888-4-4-4-4-4-4-4-4-4-4-4-4222-8222222222440000-1-1-1-144-2-2-2-2-2-21111000000000000000000000000000000000000000000000000000000000000
χ10088-8-88-4-4-4-4-8-844448-4-420442-2-2-4-44400000022-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ10188-8-8-4-4-4-4-4444444-42220-2-22-2-222-2-243−430000-1-1110000−2323−232333−3−3000000000000000000000000000000000000000000000000000000000000
χ10288-8-8-4-4-4-4-4444444-42220-2-22-2-222-2-2−43430000-1-111000023−2323−23−3−333000000000000000000000000000000000000000000000000000000000000
χ1038-88-8-48-4-84-44-848-44-42-404-244-44-2-420000002-2-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1048-88-8-4-484-8-444-8-4842-4-40-2444-4-242-40000002-2-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1058-88-8-4-4-444-4444-4-442220-2-2-2-22-2-222000000-111-1006-60000-33-33000000000000000000000000000000000000000000000000000000000000
χ1068-88-8-4-4-444-4444-4-442220-2-2-2-22-2-222000000-111-100-6600003-33-3000000000000000000000000000000000000000000000000000000000000
χ1078-8-888-4-444-88-4-444-8-4-420-4-4-22-244440000002-22-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-88-48-4-844-48-4-844-42-40-424-444-24-20000002-22-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1098-8-88-4-484-84-4-484-842-4-402-44-44-24-240000002-22-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-8-88-4-4-4444-4-4-4444222022-22-2-2-2-2-2000000-11-110000000033−33−3333000000000000000000000000000000000000000000000000000000000000
χ1118-8-88-4-4-4444-4-4-4444222022-22-2-2-2-2-2000000-11-1100000000−333333−33000000000000000000000000000000000000000000000000000000000000

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