Finite Group Databasebeta

← Group #13172237

Character table — Group #13172237

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size1111222222222222444444444444466668888888888888888812121212121212121212121212121212181818182424242424242424242424242424242424243636363636363636363654545454727272
order12223336666666662333666666666444436666666666666666244412121212121212121212121244446666121212121212121212121212121244441212121212124444121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-111-1-1-1-1111111-1-1-1-111111-11-1111111-1-1-1-1-11-1111-1-1-1-1-1-1-1-1-11-1
χ31111111111111111111111111111111-1-111111111111111111-111111111111-1-1-1-1-1-111-1-1-1-111111111-1-111111-1-1-1-1-1-1-111-1-1-1-11-1-1
χ41111111111111111111111111111111-1-111111111111111111-11-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-11-11-11111-1-1-1-1-1-1-1-11-1-1-111-1-11111-1-11
χ511111111111111111111111111111-1-111111111111111111111-111-1-11111-1-1111111-1-11111-11-11-1-1-1-1111111-1-11-1-1-111-1-1-1-1-1-1-1-11
χ611111111111111111111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-11-1-1-1-1-1-1-11111111-1-1
χ711111111111111111111111111111-1-1-1-111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-11111-11-1111-1-1-1-11111-11-1
χ811111111111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111
χ91111111111111111-111111111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-11-111-1-111111111-1-111-1-1-1-1-1-1-1111-1-11111-1-1-1-11111-1-11111-1-1-1-11
χ101111111111111111-111111111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-111111-1-111111111-1-1-1-1-1-1-11-1-111-1-111-1-1111-1-111111-1-1-1-1111-1-1
χ111111111111111111-111111111111111-1-11-1-1-1-1-1-1-1-1-1111-1-1-1-11-11-111-1-11111-1-1-1-111111111-1-1-1111-1-1-1-111-1-1-11-1-1-1-11111-1-111-11-1
χ121111111111111111-111111111111111-1-11-1-1-1-1-1-1-1-1-1111-1-1-1-11-1-111111-1-111-1-1-1-1-1-1-1-11111-11-1-111-1-1-1-1-1-111111-1-1-1-1-1-1-111-1-1111
χ131111111111111111-1111111111111-1-1111-1-1-1-1-1-1-1-1-1111-1-1-1-1-111-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11-111-1-1111111-1-1111-1-1-1-1-1-1-1-1-111111
χ141111111111111111-1111111111111-1-1111-1-1-1-1-1-1-1-1-1111-1-1-1-1-11-11-1-111-1-1-1-111111111-1-1-1-1111-1-1-11111-1-111-11-1-1-1-1111111-1-1-11-1
χ151111111111111111-1111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1111-1-1-1-1111-1-1-1-1-111-1-1-1-1-1-111-1-111111-111-1-111-1-111-1-11-1-111111-1-111-1-11-1-1
χ161111111111111111-1111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1111-1-1-1-111-11-1-111-1-1-1-1-1-1-1-1-1-1111111111-1-1-111-1-1-1-111-1-11111-1-111-1-111-1-11
χ17222222-12-122-1222-122-1-12-1-1-122-1-1-10022-122-122-1-1-1-1-1-1-1-1-1-1-1202200-1-1220022-1-122002-1-1-1020-10000-1-1-1-1-1-1002000-1-100000000-1
χ18222222-12-122-1222-122-1-12-1-1-122-1-1-10022-122-122-1-1-1-1-1-1-1-1-1-1-120-2-20011-2-20022-1-1-2-2002-1-1-10-2010000-1-1111100-200011000000001
χ19222222-12-122-1222-122-1-12-1-1-122-1-1-100-2-2-122-122-1-1-1-1-1-1-1-1-1-1-1-202200-1-12200-2-211-2-200-2111020-1000011-1-1-1-100-200011000000001
χ20222222-12-122-1222-122-1-12-1-1-122-1-1-100-2-2-122-122-1-1-1-1-1-1-1-1-1-1-1-20-2-20011-2-200-2-2112200-21110-2010000111111002000-1-100000000-1
χ21222222-12-122-1222-1-22-1-12-1-1-122-1-1-10022-1-2-21-2-21111-1-1-11111-202-20011220022-1-1-2-200-21110-20-10000-1-1-1-1110020001100000000-1
χ22222222-12-122-1222-1-22-1-12-1-1-122-1-1-10022-1-2-21-2-21111-1-1-11111-20-2200-1-1-2-20022-1-12200-211102010000-1-111-1-100-2000-1-1000000001
χ23222222-12-122-1222-1-22-1-12-1-1-122-1-1-100-2-2-1-2-21-2-21111-1-1-11111202-200112200-2-21122002-1-1-10-20-1000011-1-11100-2000-1-1000000001
χ24222222-12-122-1222-1-22-1-12-1-1-122-1-1-100-2-2-1-2-21-2-21111-1-1-1111120-2200-1-1-2-200-2-211-2-2002-1-1-1020100001111-1-10020001100000000-1
χ2522222-12-122-1222-122-12-1-12-1-1-1-122-12222-12-12-1-122-1-1-1-1-1-1-1-1-12200-1-1000022-1-1220000-12-1-120-10-1-1-1-1-1-100000202-1-1000000000-10
χ2622222-12-122-1222-122-12-1-12-1-1-1-122-122-2-2-12-12-1-122-1-1-1-1-1-1-1-1-1-2200-1-100002211-2-200001-21120-10-1-1-1-11100000-20-21100000000010
χ2722222-12-122-1222-122-12-1-12-1-1-1-122-1-2-222-12-12-1-122-1-1-1-1-1-1-1-1-12-200110000-2-2-1-1220000-12-1-1-20101111-1-100000-20-21100000000010
χ2822222-12-122-1222-122-12-1-12-1-1-1-122-1-2-2-2-2-12-12-1-122-1-1-1-1-1-1-1-1-1-2-200110000-2-211-2-200001-211-201011111100000202-1-1000000000-10
χ2922222-12-122-1222-12-2-12-1-12-1-1-1-122-12222-1-21-211-2-211-1-1-11111-2-200-1-1000022-1-12200001-211-2010-1-111-1-100000-202-1-100000000010
χ3022222-12-122-1222-12-2-12-1-12-1-1-1-122-122-2-2-1-21-211-2-211-1-1-111112-200-1-100002211-2-20000-12-1-1-2010-1-111110000020-211000000000-10
χ3122222-12-122-1222-12-2-12-1-12-1-1-1-122-1-2-222-1-21-211-2-211-1-1-11111-2200110000-2-2-1-12200001-21120-1011-1-1-1-10000020-211000000000-10
χ3222222-12-122-1222-12-2-12-1-12-1-1-1-122-1-2-2-2-2-1-21-211-2-211-1-1-111112200110000-2-211-2-20000-12-1-120-1011-1-11100000-202-1-100000000010
χ332222-12222-122-1-1222-1-12-1-122-1-1-1-122200-1-122-1-1-1-122-1-1-1-1-1-1-102222222-1-1-1-1000000220000-1-122-1-1-1-100-1-1-1-120000000-1-10000-100
χ342222-12222-122-1-1222-1-12-1-122-1-1-1-122200-1-122-1-1-1-122-1-1-1-1-1-1-102-2-222-2-211-1-1000000-2-20000-112-2-1-1-1-1001111-20000000110000100
χ352222-12222-122-1-1222-1-12-1-122-1-1-1-12-2-200-1-122-1-1-1-122-1-1-1-1-1-1-10-222-2-222-1-111000000-2-200001-1-22111100-1-1-1-1-20000000110000100
χ362222-12222-122-1-1222-1-12-1-122-1-1-1-12-2-200-1-122-1-1-1-122-1-1-1-1-1-1-10-2-2-2-2-2-2-2111100000022000011-2-2111100111120000000-1-10000-100
χ372222-12222-122-1-122-2-1-12-1-122-1-1-1-122200-11-2-21111-2-2-1-1-111110-22-222-2-2-1-1-1-100000022000011-22-1-11100-1-111-20000000-1-10000100
χ382222-12222-122-1-122-2-1-12-1-122-1-1-1-122200-11-2-21111-2-2-1-1-111110-2-22222211-1-1000000-2-200001-1-2-2-1-1110011-1-120000000110000-100
χ392222-12222-122-1-122-2-1-12-1-122-1-1-1-12-2-200-11-2-21111-2-2-1-1-11111022-2-2-2-2-2-1-111000000-2-20000-112211-1-100-1-11120000000110000-100
χ402222-12222-122-1-122-2-1-12-1-122-1-1-1-12-2-200-11-2-21111-2-2-1-1-1111102-22-2-2221111000000220000-1-12-211-1-10011-1-1-20000000-1-10000100
χ412-22-2222-2-22-2-2-2-2220222-2-2-2-22-22-22002-220000000002-2-200000000000000002-22-2002i−2i0000000000002-20000000000002i−2i2i−2i00000
χ422-22-2222-2-22-2-2-2-2220222-2-2-2-22-22-22002-220000000002-2-200000000000000002-22-200−2i2i0000000000002-2000000000000−2i2i−2i2i00000
χ432-22-2222-2-22-2-2-2-2220222-2-2-2-22-22-2200-2220000000002-2-20000000000000000-22-22002i−2i000000000000-220000000000002i−2i−2i2i00000
χ442-22-2222-2-22-2-2-2-2220222-2-2-2-22-22-2200-2220000000002-2-20000000000000000-22-2200−2i2i000000000000-22000000000000−2i2i2i−2i00000
χ452-2-22222-22-22-22-2-2-202222-22-2-2-2-22-22i−2i002000000000-22-2000000002i−2i00002i−2i00002i−2i00000000002i−2i000000000000002i−2i00002-2000
χ462-2-22222-22-22-22-2-2-202222-22-2-2-2-22-22i−2i002000000000-22-2000000002i−2i00002i−2i0000−2i2i00000000002i−2i00000000000000−2i2i0000-22000
χ472-2-22222-22-22-22-2-2-202222-22-2-2-2-22-2−2i2i002000000000-22-200000000−2i2i0000−2i2i00002i−2i0000000000−2i2i000000000000002i−2i0000-22000
χ482-2-22222-22-22-22-2-2-202222-22-2-2-2-22-2−2i2i002000000000-22-200000000−2i2i0000−2i2i0000−2i2i0000000000−2i2i00000000000000−2i2i00002-2000
χ4944444-2-2-2-24-2-244-2-24-2-21-2-211-2-2-2-21004414-2-2-2-2-2-2111111111400000000000-2-2-2-20000-2-2110000000011000000000000000000000
χ5044444-2-2-2-24-2-244-2-24-2-21-2-211-2-2-2-2100-4-414-2-2-2-2-2-2111111111-4000000000002222000022-1-100000000-1-1000000000000000000000
χ5144444-2-2-2-24-2-244-2-2-4-2-21-2-211-2-2-2-2100441-4222222-1-1111-1-1-1-1-400000000000-2-2-2-2000022-1-10000000011000000000000000000000
χ5244444-2-2-2-24-2-244-2-2-4-2-21-2-211-2-2-2-2100-4-41-4222222-1-1111-1-1-1-140000000000022220000-2-21100000000-1-1000000000000000000000
χ534444-24-24-2-24-2-2-24-24-21-2-21-2-2-2-211-200001-24-2-2-211-2-21111111004400-2-2-2-2000000000000000-20-2000000111100000000000000000
χ544444-24-24-2-24-2-2-24-24-21-2-21-2-2-2-211-200001-24-2-2-211-2-2111111100-4-4002222000000000000000202000000-1-1-1-100000000000000000
χ554444-24-24-2-24-2-2-24-2-4-21-2-21-2-2-2-211-2000012-4222-1-122111-1-1-1-1004-40022-2-200000000000000020-200000011-1-100000000000000000
χ564444-24-24-2-24-2-2-24-2-4-21-2-21-2-2-2-211-2000012-4222-1-122111-1-1-1-100-4400-2-222000000000000000-202000000-1-11100000000000000000
χ574444-2-24-24-2-24-2-2-2441-2-21-2-2-211-2-2-244001-2-2411-2-2-2-211111110400-2-20000-2-2000000000000-20-20111100000000000000000000000
χ584444-2-24-24-2-24-2-2-2441-2-21-2-2-211-2-2-2-4-4001-2-2411-2-2-2-211111110-400220000220000000000002020-1-1-1-100000000000000000000000
χ594444-2-24-24-2-24-2-2-24-41-2-21-2-2-211-2-2-24400122-4-1-12222111-1-1-1-10-400-2-20000-2-2000000000000202011-1-100000000000000000000000
χ604444-2-24-24-2-24-2-2-24-41-2-21-2-2-211-2-2-2-4-400122-4-1-12222111-1-1-1-1040022000022000000000000-20-20-1-11100000000000000000000000
χ6144-4-44444-4-4-44-44-4-40444-44-44-44-4-4-400004000000000-4-4400000000000000000000000000000000000000000000000000000000000
χ6244-4-444-242-4-4-2-44-4204-2-2-4-22-2-442220000-200000000022-2000000000023−23000000000000000000000000000023−2300000000000000000
χ6344-4-444-242-4-4-2-44-4204-2-2-4-22-2-442220000-200000000022-20000000000−23230000000000000000000000000000−232300000000000000000
χ6444-4-44-24-2-4-424-442-40-24-2242-22-2-4-420000-200000000022-2000000000000000000000000000000000000000000000023−2300000000000
χ6544-4-44-24-2-4-424-442-40-24-2242-22-2-4-420000-200000000022-20000000000000000000000000000000000000000000000−232300000000000
χ6644-4-4-2444-42-442-2-4-40-2-242-2-442-222-40000-200000000022-200000000000023−2300000000000000000000000023−230000000000000000000
χ6744-4-4-2444-42-442-2-4-40-2-242-2-442-222-40000-200000000022-2000000000000−2323000000000000000000000000−23230000000000000000000
χ6844-4-4-24-2422-4-22-2-420-21-2212-22-2-1-1200001000003-300-1-1133-3-300000023−2323−23000000000000000000000000−33−3300000000000000000
χ6944-4-4-24-2422-4-22-2-420-21-2212-22-2-1-1200001000003-300-1-1133-3-3000000−2323−23230000000000000000000000003−33−300000000000000000
χ7044-4-4-24-2422-4-22-2-420-21-2212-22-2-1-120000100000-3300-1-11-3-33300000023−23−23230000000000000000000000003−3−3300000000000000000
χ7144-4-4-24-2422-4-22-2-420-21-2212-22-2-1-120000100000-3300-1-11-3-333000000−232323−23000000000000000000000000−333−300000000000000000
χ724-44-444-2-424-42-4-44-204-2-2-42224-4-22-2004-4-2000000000-22200000000000000004-4-220000000000000000-22000000000000000000000
χ734-44-444-2-424-42-4-44-204-2-2-42224-4-22-200-44-2000000000-2220000000000000000-442-200000000000000002-2000000000000000000000
χ744-44-44-242-442-4-4-4-240-24-22-422-224-4-2004-4-2000000000-2220000000000000000-224-40000000000000000-22000000000000000000000
χ754-44-44-242-442-4-4-4-240-24-22-422-224-4-200-44-2000000000-22200000000000000002-2-4400000000000000002-2000000000000000000000
χ764-44-44-2-222422-4-4-2-20-2-2122-1-1-22-221004-4100000003-31-1-13-33-3000000000000-22-220000003-3000000001-1000000000000000000000
χ774-44-44-2-222422-4-4-2-20-2-2122-1-1-22-221004-410000000-331-1-1-33-33000000000000-22-22000000-33000000001-1000000000000000000000
χ784-44-44-2-222422-4-4-2-20-2-2122-1-1-22-22100-44100000003-31-1-13-33-30000000000002-22-2000000-3300000000-11000000000000000000000
χ794-44-44-2-222422-4-4-2-20-2-2122-1-1-22-22100-4410000000-331-1-1-33-330000000000002-22-20000003-300000000-11000000000000000000000
χ804-44-4-244-4-4-2-4-422440-2-2422-4-4-22-2240000-2000000000-22200000000000000000000004i−4i00000000000000000000000000−2i2i0000000
χ814-44-4-244-4-4-2-4-422440-2-2422-4-4-22-2240000-2000000000-2220000000000000000000000−4i4i000000000000000000000000002i−2i0000000
χ824-4-4444-2-4-2-4424-4-4204-2-242-22-4-42-220000-20000000002-22000000000000000000004i−4i00000000000000000000000000−2i2i000000000
χ834-4-4444-2-4-2-4424-4-4204-2-242-22-4-42-220000-20000000002-2200000000000000000000−4i4i000000000000000000000000002i−2i000000000
χ844-4-444-2424-4-2-44-42-40-24-2-2-4-2222-4424i−4i00-20000000002-2200000000−2i2i00004i−4i0000000000000000−2i2i0000000000000000000000000
χ854-4-444-2424-4-2-44-42-40-24-2-2-4-2222-442−4i4i00-20000000002-22000000002i−2i0000−4i4i00000000000000002i−2i0000000000000000000000000
χ864-4-44-244-4424-4-22-4-40-2-24-224-4222-2-44i−4i00-20000000002-22000000004i−4i0000−2i2i0000000000000000−2i2i0000000000000000000000000
χ874-4-44-244-4424-4-22-4-40-2-24-224-4222-2-4−4i4i00-20000000002-2200000000−4i4i00002i−2i00000000000000002i−2i0000000000000000000000000
χ884-4-44-2-24242-2-4-222-401-2-212-22-1-12-224i−4i0010003-30000-11-13-3-330000−2i2i0000−2i2i0000000000000000i−i3i−3i00000000000000000000000
χ894-4-44-2-24242-2-4-222-401-2-212-22-1-12-224i−4i001000-330000-11-1-333-30000−2i2i0000−2i2i0000000000000000i−i−3i3i00000000000000000000000
χ904-4-44-2-24242-2-4-222-401-2-212-22-1-12-22−4i4i0010003-30000-11-13-3-3300002i−2i00002i−2i0000000000000000−ii−3i3i00000000000000000000000
χ914-4-44-2-24242-2-4-222-401-2-212-22-1-12-22−4i4i001000-330000-11-1-333-300002i−2i00002i−2i0000000000000000−ii3i−3i00000000000000000000000
χ928888-4-4-4-4-4-4-4-4-4-4-4-482222222222220000-1-4-4-4222222-1-1-1-1-1-1-10000000000000000000000000000000000000000000000000000000
χ938888-4-4-4-4-4-4-4-4-4-4-4-4-82222222222220000-1444-2-2-2-2-2-2-1-1-111110000000000000000000000000000000000000000000000000000000
χ9488-8-88-4-4-44-84-4-88440-4-424-4-224-444-200002000000000-2-2200000000000000000000000000000000000000000000000000000000000
χ9588-8-8-4-48-4-84484-44-802-4-4-2-44-4-2244400002000000000-2-2200000000000000000000000000000000000000000000000000000000000
χ9688-8-8-4-4-4-4444-44-4440222-22-22-22-2-2-20000-1000006-60011-1-3-3330000000000000000000000000000000000000000000000000000000
χ9788-8-8-4-4-4-4444-44-4440222-22-22-22-2-2-20000-100000-660011-133-3-30000000000000000000000000000000000000000000000000000000
χ988-88-8-48-4-84-4-84448-40-42-44-244-442-2-4000020000000002-2-200000000000000000000000000000000000000000000000000000000000
χ998-88-8-4-484-8-44-844-4802-4-4-24442-2-44-4000020000000002-2-200000000000000000000000000000000000000000000000000000000000
χ1008-88-8-4-4-444-44444-4-40222-2-2-2-22-22-220000-100000006-6-111-33-330000000000000000000000000000000000000000000000000000000
χ1018-88-8-4-4-444-44444-4-40222-2-2-2-22-22-220000-10000000-66-1113-33-30000000000000000000000000000000000000000000000000000000
χ1028-8-888-4-44-4-8-448-8440-4-42-442-2444-4-200002000000000-22-200000000000000000000000000000000000000000000000000000000000
χ1038-8-88-48-4-8-4484-44-840-42-4-4-2-4444-22400002000000000-22-200000000000000000000000000000000000000000000000000000000000
χ1048-8-88-4-4-44-44-44-444402222-22-2-2-2-22-20000-10006-600001-11-333-30000000000000000000000000000000000000000000000000000000
χ1058-8-88-4-4-44-44-44-444402222-22-2-2-2-22-20000-1000-6600001-113-3-330000000000000000000000000000000000000000000000000000000

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