Finite Group Databasebeta

← Group #13172082

Character table — Group #13172082

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size1111222222222222444444444444466668888888888888888812121212121212121212121212121212181818182424242424242424242424242424242424243636363636363636363654545454727272
order1222333666666666233366666666622443666666666666666644446666121212121212121244446612121212121212121212121212121212224412121212121244446612
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-11111-1-11111-1-1-1-1-1-1111111-1-1111111-1-1-1-11-11-111-1-1-1-1-1-1-1-11-1-1
χ31111111111111111111111111111111-1-1111111111111111111-111111111-1-1-1-11111-1-11111-1-11111-1-1-1-11111-11-1-1-1-111-1-1-1-1-1-1-11-1
χ41111111111111111111111111111111-1-1111111111111111111-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-11
χ511111111111111111111111111111-1-11111111111111111111-1111-1-1-1-111111111-1-111-1-1-1-11111-1-111111111-1-1-11-1-1-1-111-1-1-1-1-1-11
χ611111111111111111111111111111-1-11111111111111111111-11-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-11-1-1-1-111-1-11111-11-1
χ711111111111111111111111111111-1-1-1-111111111111111111-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111-11-111-1-1-1-111111-1-1
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
χ91111111111111111-111111111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-11-11111111111-1-1-1-11111-1-1-1-11-1-1-111-1-111-1-1-111-111-1-11111-1-1-11-1
χ101111111111111111-111111111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-111111-1-111111111-1-111-1-1-1-1-11-1-111-1-1-1-111-1-1111111-1-1-1-111-1-11
χ111111111111111111-111111111111111-1-11-1-1-1-1-1-1-1-1-1111-1-1-1-1-111-1111111-1-1-1-1-1-1-1-1-1-111-1-1111-1-1-1-1-11111-1-111-11-1-1-1-1-1-1-1-111111
χ121111111111111111-111111111111111-1-11-1-1-1-1-1-1-1-1-1111-1-1-1-1-11-111111-1-1-1-1-1-111111111-1-111-11-1-1-1-111-1-1111-1-1-1-1-1111111-1-11-1-1
χ131111111111111111-1111111111111-1-1111-1-1-1-1-1-1-1-1-1111-1-1-1-11-11-1-1-1-1-1111111-1-11111-1-111-1-11-11111-1-111-1-11-1-1-1-1-11111-1-1111-1-1
χ141111111111111111-1111111111111-1-1111-1-1-1-1-1-1-1-1-1111-1-1-1-11-1-11-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-111111-1-1-1-11111-11-1-1-1-1-1-111-1-1111
χ151111111111111111-1111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1111-1-1-1-1111-1-1-1-1-111-1-1-1-1-1-111-1-1-1-111111-111-1-11111-1-1-1-1111111-1-111-1-1-1-11
χ161111111111111111-1111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1111-1-1-1-111-11-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1111-1-111-1-111-111-111-1-111-1-111-11-1
χ17222222-12-122-1222-122-1-12-1-1-122-1-1-12200-122-122-1-1-1-1-1-1-1-1-1-1-1202222-1-1220000-1-12200-1-12-100-12-1-10000-1-1-1-1020000-1-10000000-10
χ18222222-12-122-1222-122-1-12-1-1-122-1-1-12200-122-122-1-1-1-1-1-1-1-1-1-1-120-2-222-1-1-2-2000011-2-200-1-12-1001-2-1-1000011110-2000011000000010
χ19222222-12-122-1222-122-1-12-1-1-122-1-1-1-2-200-122-122-1-1-1-1-1-1-1-1-1-1-1-2022-2-211220000-1-1-2-20011-2100-12110000-1-1-1-10-2000011000000010
χ20222222-12-122-1222-122-1-12-1-1-122-1-1-1-2-200-122-122-1-1-1-1-1-1-1-1-1-1-1-20-2-2-2-211-2-2000011220011-21001-21100001111020000-1-10000000-10
χ21222222-12-122-1222-1-22-1-12-1-1-122-1-1-12200-1-2-21-2-21111-1-1-11111-202-222-1-122000011-2-200-1-1-2100-1-2110000-1-111020000110000000-10
χ22222222-12-122-1222-1-22-1-12-1-1-122-1-1-12200-1-2-21-2-21111-1-1-11111-20-2222-1-1-2-20000-1-12200-1-1-21001211000011-1-10-20000-1-1000000010
χ23222222-12-122-1222-1-22-1-12-1-1-122-1-1-1-2-200-1-2-21-2-21111-1-1-11111202-2-2-211220000112200112-100-1-2-1-10000-1-1110-20000-1-1000000010
χ24222222-12-122-1222-1-22-1-12-1-1-122-1-1-1-2-200-1-2-21-2-21111-1-1-1111120-22-2-211-2-20000-1-1-2-200112-10012-1-1000011-1-1020000110000000-10
χ2522222-12-122-1222-122-12-1-12-1-1-1-122-12222-12-12-1-122-1-1-1-1-1-1-1-1-12200-1-1220022-1-1000000-1-1-122-100-1-1-1-1-1-100002020-1-100000000-100
χ2622222-12-122-1222-122-12-1-12-1-1-1-122-122-2-2-12-12-1-122-1-1-1-1-1-1-1-1-12-200-1-12200-2-211000000-1-1-12-2100-1-111110000-20-201100000000100
χ2722222-12-122-1222-122-12-1-12-1-1-1-122-1-2-222-12-12-1-122-1-1-1-1-1-1-1-1-1-220011-2-20022-1-1000000111-22-10011-1-1-1-10000-20-201100000000100
χ2822222-12-122-1222-122-12-1-12-1-1-1-122-1-2-2-2-2-12-12-1-122-1-1-1-1-1-1-1-1-1-2-20011-2-200-2-211000000111-2-210011111100002020-1-100000000-100
χ2922222-12-122-1222-12-2-12-1-12-1-1-1-122-12222-1-21-211-2-211-1-1-11111-2-200-1-1220022-1-1000000-1-11-2-210011-1-1110000-2020-1-100000000100
χ3022222-12-122-1222-12-2-12-1-12-1-1-1-122-122-2-2-1-21-211-2-211-1-1-11111-2200-1-12200-2-211000000-1-11-22-1001111-1-1000020-201100000000-100
χ3122222-12-122-1222-12-2-12-1-12-1-1-1-122-1-2-222-1-21-211-2-211-1-1-111112-20011-2-20022-1-100000011-12-2100-1-1-1-111000020-201100000000-100
χ3222222-12-122-1222-12-2-12-1-12-1-1-1-122-1-2-2-2-2-1-21-211-2-211-1-1-11111220011-2-200-2-21100000011-122-100-1-111-1-10000-2020-1-100000000100
χ332222-12222-122-1-1222-1-12-1-122-1-1-1-120022-1-122-1-1-1-122-1-1-1-1-1-1-102220000-1-1-1-1222200220000-122-100-1-1-1-1-1-1-1-100020000-1-1000000-1
χ342222-12222-122-1-1222-1-12-1-122-1-1-1-120022-1-122-1-1-1-122-1-1-1-1-1-1-102-2-2000011-1-122-2-200-2-20000-12-2100-1-1-1-11111000-20000110000001
χ352222-12222-122-1-1222-1-12-1-122-1-1-1-1200-2-2-1-122-1-1-1-122-1-1-1-1-1-1-10-2220000-1-111-2-22200-2-200001-22-1001111-1-1-1-1000-20000110000001
χ362222-12222-122-1-1222-1-12-1-122-1-1-1-1200-2-2-1-122-1-1-1-122-1-1-1-1-1-1-10-2-2-200001111-2-2-2-2002200001-2-21001111111100020000-1-1000000-1
χ372222-12222-122-1-122-2-1-12-1-122-1-1-1-120022-11-2-21111-2-2-1-1-111110-22-20000-1-1-1-122-2-2002200001-22100-1-111-1-111000-20000-1-10000001
χ382222-12222-122-1-122-2-1-12-1-122-1-1-1-120022-11-2-21111-2-2-1-1-111110-2-22000011-1-1222200-2-200001-2-2-100-1-11111-1-10002000011000000-1
χ392222-12222-122-1-122-2-1-12-1-122-1-1-1-1200-2-2-11-2-21111-2-2-1-1-11111022-20000-1-111-2-2-2-200-2-20000-12210011-1-1-1-1110002000011000000-1
χ402222-12222-122-1-122-2-1-12-1-122-1-1-1-1200-2-2-11-2-21111-2-2-1-1-1111102-2200001111-2-22200220000-12-2-10011-1-111-1-1000-20000-1-10000001
χ4122-2-2222-2-2222-2-2-2-20222-2-2-2-22-22-222-20020000000002-2-2000000002-22-200000000002i−2i2-20000000000000000000000002i−2i2i−2i00000
χ4222-2-2222-2-2222-2-2-2-20222-2-2-2-22-22-222-20020000000002-2-2000000002-22-20000000000−2i2i2-2000000000000000000000000−2i2i−2i2i00000
χ4322-2-2222-2-2222-2-2-2-20222-2-2-2-22-22-22-220020000000002-2-200000000-22-2200000000002i−2i-220000000000000000000000002i−2i−2i2i00000
χ4422-2-2222-2-2222-2-2-2-20222-2-2-2-22-22-22-220020000000002-2-200000000-22-220000000000−2i2i-22000000000000000000000000−2i2i2i−2i00000
χ452-22-22222-2-2-2-22-2-2202222-22-2-2-2-22-2002i−2i2000000000-22-2000000000000002i−2i2i−2i002-20000000000002i−2i0000000000002-200002i−2i000
χ462-22-22222-2-2-2-22-2-2202222-22-2-2-2-22-2002i−2i2000000000-22-2000000000000002i−2i2i−2i00-220000000000002i−2i000000000000-220000−2i2i000
χ472-22-22222-2-2-2-22-2-2202222-22-2-2-2-22-200−2i2i2000000000-22-200000000000000−2i2i−2i2i002-2000000000000−2i2i0000000000002-20000−2i2i000
χ482-22-22222-2-2-2-22-2-2202222-22-2-2-2-22-200−2i2i2000000000-22-200000000000000−2i2i−2i2i00-22000000000000−2i2i000000000000-2200002i−2i000
χ4944444-2-2-2-24-2-244-2-24-2-21-2-211-2-2-2-21440014-2-2-2-2-2-21111111114000-2-2-2-200000000000011-2-20000110000000000000000000000000
χ5044444-2-2-2-24-2-244-2-24-2-21-2-211-2-2-2-21-4-40014-2-2-2-2-2-2111111111-40002222000000000000-1-1220000-1-10000000000000000000000000
χ5144444-2-2-2-24-2-244-2-2-4-2-21-2-211-2-2-2-2144001-4222222-1-1111-1-1-1-1-4000-2-2-2-200000000000011220000-1-10000000000000000000000000
χ5244444-2-2-2-24-2-244-2-2-4-2-21-2-211-2-2-2-21-4-4001-4222222-1-1111-1-1-1-140002222000000000000-1-1-2-20000110000000000000000000000000
χ534444-24-24-2-24-2-2-24-24-21-2-21-2-2-2-211-200001-24-2-2-211-2-2111111100440000-2-20000-2-20000000000-2-2000000111100000000000000000
χ544444-24-24-2-24-2-2-24-24-21-2-21-2-2-2-211-200001-24-2-2-211-2-2111111100-4-4000022000022000000000022000000-1-1-1-100000000000000000
χ554444-24-24-2-24-2-2-24-2-4-21-2-21-2-2-2-211-2000012-4222-1-122111-1-1-1-1004-40000-2-20000220000000000-2200000011-1-100000000000000000
χ564444-24-24-2-24-2-2-24-2-4-21-2-21-2-2-2-211-2000012-4222-1-122111-1-1-1-100-440000220000-2-200000000002-2000000-1-11100000000000000000
χ574444-2-24-24-2-24-2-2-2441-2-21-2-2-211-2-2-200441-2-2411-2-2-2-211111110400000000-2-2-2-20000000000-2-200001111000000000000000000000
χ584444-2-24-24-2-24-2-2-2441-2-21-2-2-211-2-2-200-4-41-2-2411-2-2-2-211111110-40000000022220000000000220000-1-1-1-1000000000000000000000
χ594444-2-24-24-2-24-2-2-24-41-2-21-2-2-211-2-2-20044122-4-1-12222111-1-1-1-10-400000000-2-2-2-2000000000022000011-1-1000000000000000000000
χ604444-2-24-24-2-24-2-2-24-41-2-21-2-2-211-2-2-200-4-4122-4-1-12222111-1-1-1-1040000000022220000000000-2-20000-1-111000000000000000000000
χ6144-4-444-2-4244-2-4-4-4204-2-2-42224-4-22-24-400-2000000000-222000000004-4-22000000000000-22000000000000000000000000000000000
χ6244-4-444-2-4244-2-4-4-4204-2-2-42224-4-22-2-4400-2000000000-22200000000-442-20000000000002-2000000000000000000000000000000000
χ6344-4-44-242-44-24-4-42-40-24-22-422-224-4-24-400-2000000000-22200000000-224-4000000000000-22000000000000000000000000000000000
χ6444-4-44-242-44-24-4-42-40-24-22-422-224-4-2-4400-2000000000-222000000002-2-440000000000002-2000000000000000000000000000000000
χ6544-4-44-2-2224-2-2-4-4220-2-2122-1-1-22-2214-400100000003-31-1-133-3-30000-22-220000000000001-10000003-30000000000000000000000000
χ6644-4-44-2-2224-2-2-4-4220-2-2122-1-1-22-2214-40010000000-331-1-1-3-3330000-22-220000000000001-1000000-330000000000000000000000000
χ6744-4-44-2-2224-2-2-4-4220-2-2122-1-1-22-221-4400100000003-31-1-133-3-300002-22-2000000000000-11000000-330000000000000000000000000
χ6844-4-44-2-2224-2-2-4-4220-2-2122-1-1-22-221-440010000000-331-1-1-3-33300002-22-2000000000000-110000003-30000000000000000000000000
χ6944-4-4-244-4-4-24422-4-40-2-2422-4-4-22-2240000-2000000000-22200000000000000000000004i−4i00000000000000000000000000−2i2i0000000
χ7044-4-4-244-4-4-24422-4-40-2-2422-4-4-22-2240000-2000000000-2220000000000000000000000−4i4i000000000000000000000000002i−2i0000000
χ714-44-444-242-4-424-4-4-204-2-242-22-4-42-220000-20000000002-22000000000000000000004-400000000000000000000000000-22000000000
χ724-44-444-242-4-424-4-4-204-2-242-22-4-42-220000-20000000002-2200000000000000000000-44000000000000000000000000002-2000000000
χ734-44-44-24-2-4-42-44-4240-24-2-2-4-2222-442004i−4i-20000000002-22000000000000004i−4i−2i2i0000000000000000−2i2i00000000000000000000000
χ744-44-44-24-2-4-42-44-4240-24-2-2-4-2222-44200−4i4i-20000000002-2200000000000000−4i4i2i−2i00000000000000002i−2i00000000000000000000000
χ754-44-4-2444-42-4-4-22-440-2-24-224-4222-2-4004i−4i-20000000002-2200000000000000−2i2i4i−4i0000000000000000−2i2i00000000000000000000000
χ764-44-4-2444-42-4-4-22-440-2-24-224-4222-2-400−4i4i-20000000002-22000000000000002i−2i−4i4i00000000000000002i−2i00000000000000000000000
χ774-44-4-2-24-2-422-4-222401-2-212-22-1-12-22004i−4i10003-30000-11-13-33-30000000000−2i2i−2i2i0000000000000000i−i3i−3i000000000000000000000
χ784-44-4-2-24-2-422-4-222401-2-212-22-1-12-22004i−4i1000-330000-11-1-33-330000000000−2i2i−2i2i0000000000000000i−i−3i3i000000000000000000000
χ794-44-4-2-24-2-422-4-222401-2-212-22-1-12-2200−4i4i10003-30000-11-13-33-300000000002i−2i2i−2i0000000000000000−ii−3i3i000000000000000000000
χ804-44-4-2-24-2-422-4-222401-2-212-22-1-12-2200−4i4i1000-330000-11-1-33-3300000000002i−2i2i−2i0000000000000000−ii3i−3i000000000000000000000
χ814-4-44444-44-4-4-4-444-40444-44-44-44-4-4-400004000000000-4-4400000000000000000000000000000000000000000000000000000000000
χ824-4-4444-2-4-2-4-42-444204-2-2-4-22-2-442220000-200000000022-200000000000000000023−230000000000000000000023−2300000000000000000
χ834-4-4444-2-4-2-4-42-444204-2-2-4-22-2-442220000-200000000022-2000000000000000000−232300000000000000000000−232300000000000000000
χ844-4-444-2424-42-4-44-2-40-24-2242-22-2-4-420000-200000000022-20000000000000000000000000000000000000000000000−2i32i300000000000
χ854-4-444-2424-42-4-44-2-40-24-2242-22-2-4-420000-200000000022-200000000000000000000000000000000000000000000002i3−2i300000000000
χ864-4-44-244-442-4-42-24-40-2-242-2-442-222-40000-200000000022-200000000000023−2300000000000000000000000023−230000000000000000000
χ874-4-44-244-442-4-42-24-40-2-242-2-442-222-40000-200000000022-2000000000000−2323000000000000000000000000−23230000000000000000000
χ884-4-44-24-2-4-22-422-2420-21-2212-22-2-1-1200001000003-300-1-113-3-330000000023−23000023−23000000000000000000−33−3300000000000000000
χ894-4-44-24-2-4-22-422-2420-21-2212-22-2-1-1200001000003-300-1-113-3-3300000000−23230000−23230000000000000000003−33−300000000000000000
χ904-4-44-24-2-4-22-422-2420-21-2212-22-2-1-120000100000-3300-1-11-333-30000000023−230000−2323000000000000000000−333−300000000000000000
χ914-4-44-24-2-4-22-422-2420-21-2212-22-2-1-120000100000-3300-1-11-333-300000000−2323000023−230000000000000000003−3−3300000000000000000
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
χ9488-8-8-48-4-84-48-444-840-42-44-244-442-2-4000020000000002-2-200000000000000000000000000000000000000000000000000000000000
χ9588-8-8-4-484-8-4-48444-802-4-4-24442-2-44-4000020000000002-2-200000000000000000000000000000000000000000000000000000000000
χ9688-8-8-4-4-444-4-4-444440222-2-2-2-22-22-220000-100000006-6-111-3-3330000000000000000000000000000000000000000000000000000000
χ9788-8-8-4-4-444-4-4-444440222-2-2-2-22-22-220000-10000000-66-11133-3-30000000000000000000000000000000000000000000000000000000
χ988-88-88-4-4-44-8448-84-40-4-42-442-2444-4-200002000000000-22-200000000000000000000000000000000000000000000000000000000000
χ998-88-8-48-4844-84-44-8-40-42-4-4-2-4444-22400002000000000-22-200000000000000000000000000000000000000000000000000000000000
χ1008-88-8-4-4-4-44444-444-402222-22-2-2-2-22-20000-10006-600001-11-33-330000000000000000000000000000000000000000000000000000000
χ1018-88-8-4-4-4-44444-444-402222-22-2-2-2-22-20000-1000-6600001-113-33-30000000000000000000000000000000000000000000000000000000
χ1028-8-888-4-44-4-844-88-440-4-424-4-224-444-200002000000000-2-2200000000000000000000000000000000000000000000000000000000000
χ1038-8-88-4-484844-84-4-4-802-4-4-2-44-4-2244400002000000000-2-2200000000000000000000000000000000000000000000000000000000000
χ1048-8-88-4-4-44-44444-4-440222-22-22-22-2-2-20000-1000006-60011-1-333-30000000000000000000000000000000000000000000000000000000
χ1058-8-88-4-4-44-44444-4-440222-22-22-22-2-2-20000-100000-660011-13-3-330000000000000000000000000000000000000000000000000000000

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