Finite Group Databasebeta

← Group #13168216

Character table — Group #13168216

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size1111222222222222444444444444466668888888888888888812121212121212121212121212121212181818182424242424242424242424242424242424243636363636363636363654545454727272
order12223336666666663334666666666224436661212121212121212121212121224446666661212121212124444666661212121212121212121212121244441212121212124444121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-111-111-1-1111111-1-1-1-1-1-1-111-1-111-11111-1-1111111-1-111-1-1-1-1-1-1-1-11-1-1
χ31111111111111111111111111111111-1-1111111111111111111-111111111-1-1-1-111-1-11111111111-1-11111-1-1-1-1-1-11-1-1-1-1-111-1-1-1-1-1-11
χ41111111111111111111111111111111-1-111111111111111111-1-11-111-1-111-1-1-1-1-1-111-1-1-111-1-111-1-1-111-1-1-1-1-1-1-1-1-11-1-111-1-11111-11-1
χ511111111111111111111111111111-1-1111111111111111111111-11-1-111-1-111111111-1-11-1-111-1-1111-1-1111111-1-1-11-1-111-1-1-1-1-1-1-11-1
χ611111111111111111111111111111-1-11111111111111111111-11-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-11-1-1-1-1-1111111-1-11
χ711111111111111111111111111111-1-1-1-1111111111111111111-1-11-1-111-1-1-1-1-1-111-1-1-1-11-1-111-1-11-1-1-1-111-1-1-1-111-1-111-1-1-1-111111-1-1
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
χ91111111111111111111-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11111111111-1-111-1-111111-1-1-1-1-1-1-1-1-111-1-11-11-11111-1-111-1-1-1-11
χ101111111111111111111-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111111111-1-111-111-1-1-1-11-1-1-1-11111-1-11-1-1111-1-111-1-111-11-1
χ111111111111111111111-111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-111111-1-1-111-1-1-1-1-1-111-1111-1-1-1-1-1-1-1-111111
χ121111111111111111111-111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-111-1-1-1-1111111-111-1-1-1-1111-1-111-1-111-11-1-1-1-1111111-1-11-1-1
χ131111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-111-1-11111-1-111111-1-11111-1-1-111-1-111-1-1-11-1-1-1-11111-1-1111-1-1
χ141111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1111-1-1111111-1-1-1111-1-1-1-1-1-111-1-1111
χ151111111111111111111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-111-1-1-1-1-1-1-1-1-1-1111-1-11111-11111-1-1-1-1111-1-1111-1-11111-1-1-11-1
χ161111111111111111111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1111111111-1-1111-11-11111-1-1-1-111-1-11
χ17222222-122-1-12222-12-1-1222-1-1-1-1-1-122200-1-1-1-1-122-1-1-1-122-1-1-1-120222222-1-10000-1-10022-1-1-1-1-1-12200-1-1-1-1000000200000-1-1000000-1
χ18222222-122-1-12222-12-1-1222-1-1-1-1-1-122200-1-1-1-1-122-1-1-1-122-1-1-1-1-202-222-2-2-1-100001100-2-21-1-111-12-200-1-111000000-200000110000001
χ19222222-122-1-12222-12-1-1222-1-1-1-1-1-12-2-200-1-1-1-1-122-1-1-1-122-1-1-1-120-22-2-222110000-1-100-2-2-111-1-11-220011-1-1000000-200000110000001
χ20222222-122-1-12222-12-1-1222-1-1-1-1-1-12-2-200-1-1-1-1-122-1-1-1-122-1-1-1-1-20-2-2-2-2-2-2110000110022111111-2-2001111000000200000-1-1000000-1
χ21222222-122-1-12222-12-1-1-222-1-1-1-1-1-122200-1-1-1-11-2-21111-2-2111120-2-22222-1-100001100-2-2-1-1-1-1-11-2-200111100000020000011000000-1
χ22222222-122-1-12222-12-1-1-222-1-1-1-1-1-122200-1-1-1-11-2-21111-2-21111-20-2222-2-2-1-10000-1-100221-1-1111-220011-1-1000000-200000-1-10000001
χ23222222-122-1-12222-12-1-1-222-1-1-1-1-1-12-2-200-1-1-1-11-2-21111-2-21111202-2-2-222110000110022-111-1-1-12-200-1-111000000-200000-1-10000001
χ24222222-122-1-12222-12-1-1-222-1-1-1-1-1-12-2-200-1-1-1-11-2-21111-2-21111-2022-2-2-2-2110000-1-100-2-211111-12200-1-1-1-100000020000011000000-1
χ2522222-122-1222-12-12-12-12-1-12-12-12-1-10022-1-1-1-122-122-1-1-1-1-1-1-1-1220200-1-10022-1-1222200200-1-100-12-100-1-1-1-1-1-1000200-1-10000000-10
χ2622222-122-1222-12-12-12-12-1-12-12-12-1-10022-1-1-1-122-122-1-1-1-1-1-1-1-1-220-200110022-1-1-2-2-2-200-200110012-10011-1-1-1-1000-20011000000010
χ2722222-122-1222-12-12-12-12-1-12-12-12-1-100-2-2-1-1-1-122-122-1-1-1-1-1-1-1-12-20200-1-100-2-21122-2-200200-1-100-1-2100-1-11111000-20011000000010
χ2822222-122-1222-12-12-12-12-1-12-12-12-1-100-2-2-1-1-1-122-122-1-1-1-1-1-1-1-1-2-20-2001100-2-211-2-22200-20011001-2100111111000200-1-10000000-10
χ2922222-122-1222-12-12-12-1-2-1-12-12-12-1-10022-1-1-1-1-2-21-2-2111111112-20-200-1-10022-1-1-2-22200200-1-1001-210011-1-111000-200-1-1000000010
χ3022222-122-1222-12-12-12-1-2-1-12-12-12-1-10022-1-1-1-1-2-21-2-211111111-2-20200110022-1-122-2-200-2001100-1-2100-1-1-1-111000200110000000-10
χ3122222-122-1222-12-12-12-1-2-1-12-12-12-1-100-2-2-1-1-1-1-2-21-2-211111111220-200-1-100-2-211-2-2-2-200200-1-10012-1001111-1-1000200110000000-10
χ3222222-122-1222-12-12-12-1-2-1-12-12-12-1-100-2-2-1-1-1-1-2-21-2-211111111-2202001100-2-211222200-2001100-12-100-1-111-1-1000-200-1-1000000010
χ332222-122-1222-12-122-1-122-1-1-12-12-12-12222-1-1-1-12-12-1-122-1-1-1-1-1-10220-1-10022-1-1220000000-1-1002-10-12-1-100-1-1-1-12200-1-100000000-100
χ342222-122-1222-12-122-1-122-1-1-12-12-12-122-2-2-1-1-1-12-12-1-122-1-1-1-1-1-10-220-1-1002211-2-20000000-1-1002-101-2-1-1001111-2-2001100000000100
χ352222-122-1222-12-122-1-122-1-1-12-12-12-1-2-222-1-1-1-12-12-1-122-1-1-1-1-1-102-201100-2-2-1-12200000001100-210-121100-1-1-1-1-2-2001100000000100
χ362222-122-1222-12-122-1-122-1-1-12-12-12-1-2-2-2-2-1-1-1-12-12-1-122-1-1-1-1-1-10-2-201100-2-211-2-200000001100-2101-2110011112200-1-100000000-100
χ372222-122-1222-12-122-1-12-2-1-1-12-12-12-12222-1-1-1-1-21-211-2-21111110-2-20-1-10022-1-1220000000-1-100-2101-21100-1-1112-200-1-100000000100
χ382222-122-1222-12-122-1-12-2-1-1-12-12-12-122-2-2-1-1-1-1-21-211-2-211111102-20-1-1002211-2-20000000-1-100-210-12110011-1-1-22001100000000-100
χ392222-122-1222-12-122-1-12-2-1-1-12-12-12-1-2-222-1-1-1-1-21-211-2-21111110-2201100-2-2-1-122000000011002-101-2-1-100-1-111-22001100000000-100
χ402222-122-1222-12-122-1-12-2-1-1-12-12-12-1-2-2-2-2-1-1-1-1-21-211-2-211111102201100-2-211-2-2000000011002-10-12-1-10011-1-12-200-1-100000000100
χ4122-2-2222-2-22-2-2-222-22220-2-2-2-222-2-22002-22-2-22000000000000000000000002-22-200002i−2i000000000000002-200000000002i−2i002i−2i000
χ4222-2-2222-2-22-2-2-222-22220-2-2-2-222-2-22002-22-2-22000000000000000000000002-22-20000−2i2i000000000000002-20000000000−2i2i00−2i2i000
χ4322-2-2222-2-22-2-2-222-22220-2-2-2-222-2-2200-222-2-2200000000000000000000000-22-2200002i−2i00000000000000-2200000000002i−2i00−2i2i000
χ4422-2-2222-2-22-2-2-222-22220-2-2-2-222-2-2200-222-2-2200000000000000000000000-22-220000−2i2i00000000000000-220000000000−2i2i002i−2i000
χ452-2-222222-2-2-2-22-2-2222202-22-2-2-2-22-22-20022-2-2000000000000000002-2002-20000002i−2i0002-20000000000000000000002i−2i002i−2i00000
χ462-2-222222-2-2-2-22-2-2222202-22-2-2-2-22-22-20022-2-2000000000000000002-2002-2000000−2i2i0002-2000000000000000000000−2i2i00−2i2i00000
χ472-2-222222-2-2-2-22-2-2222202-22-2-2-2-22-2-220022-2-200000000000000000-2200-220000002i−2i000-220000000000000000000002i−2i00−2i2i00000
χ482-2-222222-2-2-2-22-2-2222202-22-2-2-2-22-2-220022-2-200000000000000000-2200-22000000−2i2i000-22000000000000000000000−2i2i002i−2i00000
χ4944444-2-24-2-2-24-24-2-2-2-214-2-2-21-21-21-200001111-24-2-2-211-2-21111400400-2-2000000-2-20000-2001100-2000011000000000000000000000
χ5044444-2-24-2-2-24-24-2-2-2-214-2-2-21-21-21-200001111-24-2-2-211-2-21111-400-40022000000220000200-1-10020000-1-1000000000000000000000
χ5144444-2-24-2-2-24-24-2-2-2-21-4-2-2-21-21-21-2000011112-4222-1-122-1-1-1-1400-400-2-2000000220000-200110020000-1-1000000000000000000000
χ5244444-2-24-2-2-24-24-2-2-2-21-4-2-2-21-21-21-2000011112-4222-1-122-1-1-1-1-40040022000000-2-20000200-1-100-2000011000000000000000000000
χ534444-24-2-24-2-2-24-24-2-21-24-2-21-21-21-2-244001111-2-2411-2-2-2-211110040-2-200-2-2000000000001100-2-20001100000000000000000000000
χ544444-24-2-24-2-2-24-24-2-21-24-2-21-21-21-2-2-4-4001111-2-2411-2-2-2-2111100-4022002200000000000-1-10022000-1-100000000000000000000000
χ554444-24-2-24-2-2-24-24-2-21-2-4-2-21-21-21-2-24400111122-4-1-12222-1-1-1-100-40-2-200-2-200000000000110022000-1-100000000000000000000000
χ564444-24-2-24-2-2-24-24-2-21-2-4-2-21-21-21-2-2-4-400111122-4-1-12222-1-1-1-1004022002200000000000-1-100-2-20001100000000000000000000000
χ574444-2-24-2-244-2-2-2-241-2-2411-2-2-2-2-2-21004411114-2-2-2-2-2-21111110400000000-2-2-2-200000000000000-2-20000111100000000000000000
χ584444-2-24-2-244-2-2-2-241-2-2411-2-2-2-2-2-2100-4-411114-2-2-2-2-2-21111110-400000000222200000000000000220000-1-1-1-100000000000000000
χ594444-2-24-2-244-2-2-2-241-2-2-411-2-2-2-2-2-2100441111-4222222-1-1-1-1-1-10-400000000-2-2-2-20000000000000022000011-1-100000000000000000
χ604444-2-24-2-244-2-2-2-241-2-2-411-2-2-2-2-2-2100-4-41111-4222222-1-1-1-1-1-10400000000222200000000000000-2-20000-1-11100000000000000000
χ6144-4-444-2-4-4-22-4-44424-2-20-4-422-2-22240000-222-200000000000000000000000000000004i−4i00000000000000000000000000−2i2i0000000
χ6244-4-444-2-4-4-22-4-44424-2-20-4-422-2-22240000-222-20000000000000000000000000000000−4i4i000000000000000000000000002i−2i0000000
χ6344-4-44-24-424-4-424-2-4-24-2022-424-2-42-2004-4-222-2000000000000000000000004-4-2200000000000000000000-220000000000000000000
χ6444-4-44-24-424-4-424-2-4-24-2022-424-2-42-200-44-222-200000000000000000000000-442-2000000000000000000002-20000000000000000000
χ6544-4-4-2442-44-42-4-24-4-2-240222-4-242-4-2004-4-222-200000000000000000000000-224-400000000000000000000-220000000000000000000
χ6644-4-4-2442-44-42-4-24-4-2-240222-4-242-4-200-44-222-2000000000000000000000002-2-44000000000000000000002-20000000000000000000
χ6744-4-4-2-24224-422-2-2-41-2-20-1-122-2-2221004-41-1-1100000003-333-3-30000000000-22-22000000000000000000001-13-300000000000000000
χ6844-4-4-2-24224-422-2-2-41-2-20-1-122-2-2221004-41-1-110000000-33-3-3330000000000-22-22000000000000000000001-1-3300000000000000000
χ6944-4-4-2-24224-422-2-2-41-2-20-1-122-2-222100-441-1-1100000003-333-3-300000000002-22-200000000000000000000-11-3300000000000000000
χ7044-4-4-2-24224-422-2-2-41-2-20-1-122-2-222100-441-1-110000000-33-3-33300000000002-22-200000000000000000000-113-300000000000000000
χ714-44-4444-44-444-4-4-4-44440-44-44-4-44-4-400004-44-400000000000000000000000000000000000000000000000000000000000000000000
χ724-44-444-2-442-24-4-4-424-2-20-442-222-22-40000-22-2200000000000000000000000000023−23000000000000000023−23000000000000000000000
χ734-44-444-2-442-24-4-4-424-2-20-442-222-22-40000-22-22000000000000000000000000000−23230000000000000000−2323000000000000000000000
χ744-44-44-24-4-2-4442-42-4-24-202-2-4-2-424220000-22-220000000000000000000−2i32i3000000000000000−2i32i3000000000000000000000000000000
χ754-44-44-24-4-2-4442-42-4-24-202-2-4-2-424220000-22-2200000000000000000002i3−2i30000000000000002i3−2i3000000000000000000000000000000
χ764-44-44-2-2-4-22-242-422-2-2102-2212-1-2-1200001-11-1000003i−3i003i−3i3i−3i000000−2i32i300000023−230000000i3−i30000000−33000000000000000000000
χ774-44-44-2-2-4-22-242-422-2-2102-2212-1-2-1200001-11-1000003i−3i003i−3i3i−3i0000002i3−2i3000000−23230000000−i3i300000003−3000000000000000000000
χ784-44-44-2-2-4-22-242-422-2-2102-2212-1-2-1200001-11-100000−3i3i00−3i3i−3i3i000000−2i32i3000000−23230000000i3−i300000003−3000000000000000000000
χ794-44-44-2-2-4-22-242-422-2-2102-2212-1-2-1200001-11-100000−3i3i00−3i3i−3i3i0000002i3−2i300000023−230000000−i3i30000000−33000000000000000000000
χ804-44-4-24424-44-2-42-4-4-2-2402-2242-4-2-420000-22-22000000000000000000000000000000000000000000000000000000023−2300000000000
χ814-44-4-24424-44-2-42-4-4-2-2402-2242-4-2-420000-22-220000000000000000000000000000000000000000000000000000000−232300000000000
χ824-4-4444-24-422-44-4-4-24-2-204-4-22222-2-44-400-2-222000000000000000004-400-2200000000000-2200000000000000000000000000000000
χ834-4-4444-24-422-44-4-4-24-2-204-4-22222-2-4-4400-2-22200000000000000000-44002-2000000000002-200000000000000000000000000000000
χ844-4-444-2442-4-4-4-2-424-24-20-2242-42-4-220000-2-222000000000000000000000000000004i−4i00000000000000000000000000−2i2i000000000
χ854-4-444-2442-4-4-4-2-424-24-20-2242-42-4-220000-2-22200000000000000000000000000000−4i4i000000000000000000000000002i−2i000000000
χ864-4-44-244-2-4-4-4242-44-2-240-22-2-42-42424-400-2-22200000000000000000-22004-400000000000-2200000000000000000000000000000000
χ874-4-44-244-2-4-4-4242-44-2-240-22-2-42-4242-4400-2-222000000000000000002-200-44000000000002-200000000000000000000000000000000
χ884-4-44-24-2-2-422242-4-2-21-20-2212-12-1-224-40011-1-10003i−3i00003i−3i−3i3i0000-2200-22000000000001-100000003i−3i00000000000000000000000
χ894-4-44-24-2-2-422242-4-2-21-20-2212-12-1-224-40011-1-1000−3i3i0000−3i3i3i−3i0000-2200-22000000000001-10000000−3i3i00000000000000000000000
χ904-4-44-24-2-2-422242-4-2-21-20-2212-12-1-22-440011-1-10003i−3i00003i−3i−3i3i00002-2002-200000000000-110000000−3i3i00000000000000000000000
χ914-4-44-24-2-2-422242-4-2-21-20-2212-12-1-22-440011-1-1000−3i3i0000−3i3i3i−3i00002-2002-200000000000-1100000003i−3i00000000000000000000000
χ928888-4-4-4-4-4-4-4-4-4-4-4-422282222222220000-1-1-1-1-4-4-4222222-1-1-1-10000000000000000000000000000000000000000000000000000000
χ938888-4-4-4-4-4-4-4-4-4-4-4-4222-82222222220000-1-1-1-1444-2-2-2-2-2-211110000000000000000000000000000000000000000000000000000000
χ9488-8-88-4-4-84-44-848-44-4-420444-2-424-2-400002-2-2200000000000000000000000000000000000000000000000000000000000000000000
χ9588-8-8-48-44-8-444-8-484-42-4044-242-4-24-400002-2-2200000000000000000000000000000000000000000000000000000000000000000000
χ9688-8-8-4-4-444-4444-4-442220-2-2-2-222-2-220000-111-100000006-6-3-3330000000000000000000000000000000000000000000000000000000
χ9788-8-8-4-4-444-4444-4-442220-2-2-2-222-2-220000-111-10000000-6633-3-30000000000000000000000000000000000000000000000000000000
χ988-88-8-48-4484-4-4-84-84-42-404-4-2-4-2424400002-22-200000000000000000000000000000000000000000000000000000000000000000000
χ998-88-8-4-484-4-88-4444-82-4-40-224-444-44-200002-22-200000000000000000000000000000000000000000000000000000000000000000000
χ1008-88-8-4-4-44-44-4-444442220-22-22-2-22-2-20000-11-11000006i−6i00−3i3i−3i3i0000000000000000000000000000000000000000000000000000000
χ1018-88-8-4-4-44-44-4-444442220-22-22-2-22-2-20000-11-1100000−6i6i003i−3i3i−3i0000000000000000000000000000000000000000000000000000000
χ1028-8-888-4-48444-8-4-84-4-4-420-44-4-24-2424000022-2-200000000000000000000000000000000000000000000000000000000000000000000
χ1038-8-88-4-48-44-8-84-44482-4-402-2-44444-4-2000022-2-200000000000000000000000000000000000000000000000000000000000000000000
χ1048-8-88-4-4-4-44444-444-422202-22-2-2-2-22-20000-1-1110006i−6i0000−3i3i3i−3i0000000000000000000000000000000000000000000000000000000
χ1058-8-88-4-4-4-44444-444-422202-22-2-2-2-22-20000-1-111000−6i6i00003i−3i−3i3i0000000000000000000000000000000000000000000000000000000

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