Finite Group Databasebeta

← Group #13168542

Character table — Group #13168542

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222222444444444444466888888888888888881212121212121212121212121212121212181824242424242424242424242424242424242436363636363636363636365454727272108
order12223336666666663334666666666443666121212121212121212121212124444412121212121212121212121244121212121212121212121212121212121212244446612121212441212124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111-1-1111111-1-111-1-1-1-1111-1-1111111111-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11-1
χ31111111111111111111111111111111111111111111111111-1-11111-1-1-1-1111111-1-111-111-111-1-111-1-111111-1-11-111-1-1-1-1-1-1-11-1-1
χ41111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11-1-111-1-1111-1-11
χ511111111111111111111111111111-1-111111111111111111-11111-1-1111111-1-11111-1-11111-1-111-1-1111111-1-1-1-11-1-111-1-1-1-11-1-1-1
χ611111111111111111111111111111-1-111111111111111111-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-11-1-111-1-111-1-1-1-11-1-11-111-1-1-1-111-11-11
χ711111111111111111111111111111-1-111111111111111111-1-1-111-1-1-1-1-1-111-1-111-1-1-1-1-111-1-1-1-1-1-1-1-1-11111-111-1-1-1-1-1-11111-1-111
χ811111111111111111111111111111-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1111-1
χ91111111111111111111-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-1111111-1-1-1-1-1-11-11-111-1-1-1-11111-1-1-11-111-1-1-1-111-1-111-11
χ101111111111111111111-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-111-1-1111111-1-111-1-111-1-1-1-111-1-11111-1-1-111111111-1-1-1-1
χ111111111111111111111-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11111-1-11111-1-111-1-1-1-1111111-1-1-1-111-1-1-1-111-1-1-111-1-111-111-1
χ121111111111111111111-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111-1-1-1-11111-1-1-1-1-11-111111-1-1-1-1-1-1111-11-1111-1-1-1-1-1-11-111
χ131111111111111111111-1111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1-1-1-1-11111-1-1-1-1-1-1111-11-1-1-1-1-1111111-1-11-11-1111-1-1-1-1111-11-1
χ141111111111111111111-1111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-1-1-111-1-1-1-111111111-1-1-1-1-1-11111-1-111-1-111-1-1-111-1-1-1-1-1111
χ151111111111111111111-1111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-111-1-111-1-1-1-11111-1-111-1-11111-1-111-1-111-1-1-1111111-1-1-1-1-11
χ161111111111111111111-1111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-1-111-1-1-1-1-1-111-1-111-11-11-1-11111-1-1-1-111-11-111-1-1-1-1111111-1-1
χ17222222-1-122-1222-122-1-122-1-1-12-12-1-122-1-1-1-1-122-1-122-1-1-1-1-1-12002222000022-1-1-1-100-1202-10-1-100-1-100-1-1-1-120020-1-10000000-100
χ18222222-1-122-1222-122-1-122-1-1-12-12-1-122-1-1-1-1-122-1-122-1-1-1-1-1-1200-2-2220000-2-2-1-11100-120-210-1-100-1-1001111-200-20110000000100
χ19222222-1-122-1222-122-1-122-1-1-12-12-1-1-2-2-1-1-1-1-122-1-122-1-1-1-1-1-1-20022-2-200002211-1-1001-202-1011001100-1-1-1-1-200-20110000000100
χ20222222-1-122-1222-122-1-122-1-1-12-12-1-1-2-2-1-1-1-1-122-1-122-1-1-1-1-1-1-200-2-2-2-20000-2-21111001-20-21011001100111120020-1-10000000-100
χ21222222-1-122-1222-122-1-1-22-1-1-12-12-1-122-1-1-1-11-2-211-2-2111111-2002-222000022-1-111001-20-2-10-1-1001100-1-111-20020110000000-100
χ22222222-1-122-1222-122-1-1-22-1-1-12-12-1-122-1-1-1-11-2-211-2-2111111-200-22220000-2-2-1-1-1-1001-20210-1-100110011-1-1200-20-1-10000000100
χ23222222-1-122-1222-122-1-1-22-1-1-12-12-1-1-2-2-1-1-1-11-2-211-2-21111112002-2-2-2000022111100-120-2-101100-1-100-1-111200-20-1-10000000100
χ24222222-1-122-1222-122-1-1-22-1-1-12-12-1-1-2-2-1-1-1-11-2-211-2-2111111200-22-2-20000-2-211-1-100-1202101100-1-10011-1-1-20020110000000-100
χ2522222-1222-122-1-122-12-12-12-1-1-12-12-100-1-1-1-122-1-1-1-1-122-1-1-1-10222200-1-122-1-100222200-1-12200-1-100-1-1-1-1-1-10000200-1-10000-1000
χ2622222-1222-122-1-122-12-12-12-1-1-12-12-100-1-1-1-122-1-1-1-1-122-1-1-1-1022-2-200-1-1221100-2-2-2-200-11-2200-1-100-1-111110000-2001100001000
χ2722222-1222-122-1-122-12-12-12-1-1-12-12-100-1-1-1-122-1-1-1-1-122-1-1-1-10-2-2220011-2-2-1-10022-2-2001-12-200110011-1-1-1-10000-2001100001000
χ2822222-1222-122-1-122-12-12-12-1-1-12-12-100-1-1-1-122-1-1-1-1-122-1-1-1-10-2-2-2-20011-2-21100-2-2220011-2-20011001111110000200-1-10000-1000
χ2922222-1222-122-1-122-12-1-2-12-1-1-12-12-100-1-1-1-1-2-211111-2-2111102-22-2001122-1-100-2-2-2-200-112-2001100-1-1-1-1110000200110000-1000
χ3022222-1222-122-1-122-12-1-2-12-1-1-12-12-100-1-1-1-1-2-211111-2-2111102-2-220011221100222200-1-1-2-2001100-1-111-1-10000-200-1-100001000
χ3122222-1222-122-1-122-12-1-2-12-1-1-12-12-100-1-1-1-1-2-211111-2-211110-222-200-1-1-2-2-1-100-2-22200112200-1-10011-1-1110000-200-1-100001000
χ3222222-1222-122-1-122-12-1-2-12-1-1-12-12-100-1-1-1-1-2-211111-2-211110-22-2200-1-1-2-2110022-2-2001-1-2200-1-1001111-1-10000200110000-1000
χ332222-1222-122-1222-1-1-122-1-122-1-1-1-1222-1-1-1-12-1222-1-1-1-1-1-1-1-122200-1-122-1-1002200002-1200-1-1-1-1-1-1-1-1-10000022000000-1-10000-10
χ342222-1222-122-1222-1-1-122-1-122-1-1-1-1222-1-1-1-12-1222-1-1-1-1-1-1-1-12-2-200-1-1-2-211002200002-1-2001-1-111-1-11100000-2-200000011000010
χ352222-1222-122-1222-1-1-122-1-122-1-1-1-12-2-2-1-1-1-12-1222-1-1-1-1-1-1-1-1-222001122-1-100-2-20000-21200-111-1-111-1-100000-2-200000011000010
χ362222-1222-122-1222-1-1-122-1-122-1-1-1-12-2-2-1-1-1-12-1222-1-1-1-1-1-1-1-1-2-2-20011-2-21100-2-20000-21-2001111111110000022000000-1-10000-10
χ372222-1222-122-1222-1-1-12-2-1-122-1-1-1-1222-1-1-1-1-21-2-2-211111111-22-200-1-1-2-2-1-100220000-212001-1-11111-1-1000002-2000000-1-1000010
χ382222-1222-122-1222-1-1-12-2-1-122-1-1-1-1222-1-1-1-1-21-2-2-211111111-2-2200-1-1221100220000-21-200-1-1-1-1-1111100000-22000000110000-10
χ392222-1222-122-1222-1-1-12-2-1-122-1-1-1-12-2-2-1-1-1-1-21-2-2-21111111122-20011-2-2-1-100-2-200002-120011111-1-1-1-100000-22000000110000-10
χ402222-1222-122-1222-1-1-12-2-1-122-1-1-1-12-2-2-1-1-1-1-21-2-2-2111111112-220011221100-2-200002-1-200-111-1-1-1-111000002-2000000-1-1000010
χ412-2-22222-22-2-2-2-222-222202-2-2-2-22-2-222-222-2-20000000000000000002-20000002-2002i−2i0000002-2000000000000000002i−2i002i−2i0000
χ422-2-22222-22-2-2-2-222-222202-2-2-2-22-2-222-222-2-20000000000000000002-20000002-200−2i2i0000002-200000000000000000−2i2i00−2i2i0000
χ432-2-22222-22-2-2-2-222-222202-2-2-2-22-2-22-2222-2-2000000000000000000-22000000-22002i−2i000000-22000000000000000002i−2i00−2i2i0000
χ442-2-22222-22-2-2-2-222-222202-2-2-2-22-2-22-2222-2-2000000000000000000-22000000-2200−2i2i000000-2200000000000000000−2i2i002i−2i0000
χ4544444-2-2-24-2-24-2-2-24-2-214-2-211-2-2-2-21001111-24-211-2-2-2-2111100044000000-2-200-2-200000-2-2000000000111100000000000000000
χ4644444-2-2-24-2-24-2-2-24-2-214-2-211-2-2-2-21001111-24-211-2-2-2-21111000-4-40000002200220000022000000000-1-1-1-100000000000000000
χ4744444-2-2-24-2-24-2-2-24-2-21-4-2-211-2-2-2-210011112-42-1-12222-1-1-1-10004-4000000-2-20022000002-200000000011-1-100000000000000000
χ4844444-2-2-24-2-24-2-2-24-2-21-4-2-211-2-2-2-210011112-42-1-12222-1-1-1-1000-440000002200-2-200000-22000000000-1-11100000000000000000
χ494444-24-2-2-24-2-244-2-2-21-24-21-2-2-21-21-2441111-2-24-2-2-2-211111140000-2-2000000-2-20000-2-2000011001100000000000000000000000
χ504444-24-2-2-24-2-244-2-2-21-24-21-2-2-21-21-2-4-41111-2-24-2-2-2-2111111-4000022000000220000220000-1-100-1-100000000000000000000000
χ514444-24-2-2-24-2-244-2-2-21-2-4-21-2-2-21-21-244111122-42222-1-1-1-1-1-1-40000-2-2000000-2-200002200001100-1-100000000000000000000000
χ524444-24-2-2-24-2-244-2-2-21-2-4-21-2-2-21-21-2-4-4111122-42222-1-1-1-1-1-14000022000000220000-2-20000-1-1001100000000000000000000000
χ534444-2-244-2-24-2-2-24-21-2-241-2-2-21-21-2-20011114-2-2-2-211-2-211110440000-2-2-2-20000000000-200-200110011000000000000000000000
χ544444-2-244-2-24-2-2-24-21-2-241-2-2-21-21-2-20011114-2-2-2-211-2-211110-4-4000022220000000000200200-1-100-1-1000000000000000000000
χ554444-2-244-2-24-2-2-24-21-2-2-41-2-2-21-21-2-2001111-42222-1-122-1-1-1-104-4000022-2-20000000000-200200-1-10011000000000000000000000
χ564444-2-244-2-24-2-2-24-21-2-2-41-2-2-21-21-2-2001111-42222-1-122-1-1-1-10-440000-2-2220000000000200-2001100-1-1000000000000000000000
χ5744-4-4444-4-4-4444-4-4-44440-4-4-44-4-444-4004-4-440000000000000000000000000000000000000000000000000000000000000000000
χ5844-4-444-22-4-4-244-42-44-2-20-422-2-424-2200-222-2000000000000000000000000000023−2300000000000000000023−2300000000000000000
χ5944-4-444-22-4-4-244-42-44-2-20-422-2-424-2200-222-20000000000000000000000000000−2323000000000000000000−232300000000000000000
χ6044-4-44-24-4-4244-22-4-4-24-202-42-22-4-24200-222-200000000000000000000000023−230000000000000000000023−230000000000000000000
χ6144-4-44-24-4-4244-22-4-4-24-202-42-22-4-24200-222-2000000000000000000000000−232300000000000000000000−23230000000000000000000
χ6244-4-44-2-22-42-24-222-4-2-21022-1122-2-2-1001-1-110003-3000033-3-30000000000023−230023−230000000000000000−33−3300000000000000000
χ6344-4-44-2-22-42-24-222-4-2-21022-1122-2-2-1001-1-110003-3000033-3-300000000000−232300−232300000000000000003−33−300000000000000000
χ6444-4-44-2-22-42-24-222-4-2-21022-1122-2-2-1001-1-11000-330000-3-3330000000000023−2300−23230000000000000000−333−300000000000000000
χ6544-4-44-2-22-42-24-222-4-2-21022-1122-2-2-1001-1-11000-330000-3-33300000000000−23230023−2300000000000000003−3−3300000000000000000
χ6644-4-4-244-42-44-24-4-42-2-24022-4422-2-2-400-222-20000000000000000000000000000000000000000000000000000000000023−23000000
χ6744-4-4-244-42-44-24-4-42-2-24022-4422-2-2-400-222-200000000000000000000000000000000000000000000000000000000000−2323000000
χ684-44-44444-44-4-4-4-4-444440-444-44-4-4-4-4004-44-40000000000000000000000000000000000000000000000000000000000000000000
χ694-44-444-2-2-442-4-4-4244-2-20-4-2-2242-42200-22-220000000000000000000000000000000000000000000000000000000−2i32i30000000000
χ704-44-444-2-2-442-4-4-4244-2-20-4-2-2242-42200-22-2200000000000000000000000000000000000000000000000000000002i3−2i30000000000
χ714-44-44-244-4-2-4-422-44-24-2024-22-2-42-4200-22-2200000000000000000000−2i32i3000000000000000000−2i32i30000000000000000000000000
χ724-44-44-244-4-2-4-422-44-24-2024-22-2-42-4200-22-22000000000000000000002i3−2i30000000000000000002i3−2i30000000000000000000000000
χ734-44-4-244424-42-4-4-4-2-2-2402-24-4-2222-400-22-22000000000000000000000023−230000000000000000000023−23000000000000000000000
χ744-44-4-244424-42-4-4-4-2-2-2402-24-4-2222-400-22-220000000000000000000000−232300000000000000000000−2323000000000000000000000
χ754-44-4-2-2442-2-4222-4-21-2-20-1-2-2212-122001-11-1000003i−3i003i−3i3i−3i0000000−2i32i323−230000000000000000i3−i300−33000000000000000000000
χ764-44-4-2-2442-2-4222-4-21-2-20-1-2-2212-122001-11-1000003i−3i003i−3i3i−3i00000002i3−2i3−23230000000000000000−i3i3003−3000000000000000000000
χ774-44-4-2-2442-2-4222-4-21-2-20-1-2-2212-122001-11-100000−3i3i00−3i3i−3i3i0000000−2i32i3−23230000000000000000i3−i3003−3000000000000000000000
χ784-44-4-2-2442-2-4222-4-21-2-20-1-2-2212-122001-11-100000−3i3i00−3i3i−3i3i00000002i3−2i323−230000000000000000−i3i300−33000000000000000000000
χ794-4-4444-224-42-4-44-2-44-2-204222-4-2-42-24-4-2-2220000000000000000004-4000000-220000000000-22000000000000000000000000000
χ804-4-4444-224-42-4-44-2-44-2-204222-4-2-42-2-44-2-222000000000000000000-440000002-200000000002-2000000000000000000000000000
χ814-4-444-24-442-4-42-24-4-24-20-2-422242-4-200-2-2220000000000000000000000000000004i−4i0000000000000000000000000−2i2i00000000
χ824-4-444-24-442-4-42-24-4-24-20-2-422242-4-200-2-222000000000000000000000000000000−4i4i00000000000000000000000002i−2i00000000
χ834-4-44-244-4-2-4-42-4442-2-240-22-4-42-22244-4-2-222000000000000000000-220000004-40000000000-22000000000000000000000000000
χ844-4-44-244-4-2-4-42-4442-2-240-22-4-42-2224-44-2-2220000000000000000002-2000000-4400000000002-2000000000000000000000000000
χ854-4-44-24-22-2-422-44-22-21-20-2-122212-1-24-411-1-100000003i−3i3i−3i−3i3i00000-22000000-2200000000001-1003i−3i00000000000000000000000
χ864-4-44-24-22-2-422-44-22-21-20-2-122212-1-24-411-1-10000000−3i3i−3i3i3i−3i00000-22000000-2200000000001-100−3i3i00000000000000000000000
χ874-4-44-24-22-2-422-44-22-21-20-2-122212-1-2-4411-1-100000003i−3i3i−3i−3i3i000002-20000002-20000000000-1100−3i3i00000000000000000000000
χ884-4-44-24-22-2-422-44-22-21-20-2-122212-1-2-4411-1-10000000−3i3i−3i3i3i−3i000002-20000002-20000000000-11003i−3i00000000000000000000000
χ898888-4-4-4-4-4-4-4-4-4-4-4-4222822222222200-1-1-1-1-4-4-4222222-1-1-1-1000000000000000000000000000000000000000000000000000000
χ908888-4-4-4-4-4-4-4-4-4-4-4-4222-822222222200-1-1-1-1444-2-2-2-2-2-21111000000000000000000000000000000000000000000000000000000
χ9188-8-8-48-444-8-4-48-844-42-404-24-44-2-424002-2-220000000000000000000000000000000000000000000000000000000000000000000
χ9288-8-8-4-48-8448-4-44-842-4-40-244-4-242-44002-2-220000000000000000000000000000000000000000000000000000000000000000000
χ9388-8-8-4-4-4444-4-4-44442220-2-2-22-2-222-200-111-10006-60000-3-333000000000000000000000000000000000000000000000000000000
χ9488-8-8-4-4-4444-4-4-44442220-2-2-22-2-222-200-111-1000-66000033-3-3000000000000000000000000000000000000000000000000000000
χ958-88-88-4-4-4-8-44-84448-4-4204-42-2-4444-2002-22-20000000000000000000000000000000000000000000000000000000000000000000
χ968-88-8-48-4-44844-8-84-4-42-4042-44-4-24-24002-22-20000000000000000000000000000000000000000000000000000000000000000000
χ978-88-8-4-4-4-44-444444-42220-222-22-2-2-2-200-11-11000006i−6i00−3i3i−3i3i000000000000000000000000000000000000000000000000000000
χ988-88-8-4-4-4-44-444444-42220-222-22-2-2-2-200-11-1100000−6i6i003i−3i3i−3i000000000000000000000000000000000000000000000000000000
χ998-8-888-4-44844-84-4-4-8-4-420-44-2-24-44420022-2-20000000000000000000000000000000000000000000000000000000000000000000
χ1008-8-88-4-48-8-44-844-4842-4-402444-2-4-24-40022-2-20000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-88-4-4-44-44444-4-4422202-2-2-2-22-2-2200-1-11100000006i−6i−3i3i3i−3i000000000000000000000000000000000000000000000000000000
χ1028-8-88-4-4-44-44444-4-4422202-2-2-2-22-2-2200-1-1110000000−6i6i3i−3i−3i3i000000000000000000000000000000000000000000000000000000

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