Finite Group Databasebeta

← Group #13168070

Character table — Group #13168070

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222222444444444444466888888888888888881212121212121212121212121212121212181824242424242424242424242424242424242436363636363636363636365454727272108
order1222333666666666333466666666622366612121212121212121212121212244446666661212121212124466666121212121212121212121212122224466121212124466124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111-1-11111111111-1-1-1-1-1-11111111-11-11111-1-1-1-111-1-1-111-1-1-1-1-1-1-11-1-1
χ3111111111111111111111111111111111111111111111111-111-111111-1-1-1-11111-1-1-111-1-11-111111-1-11111-1-1-111-1-1-1-111-1-1-1-11-1
χ4111111111111111111111111111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-111-111-1-11-1-11-111-1-1-1-1-1-1-1-11-1-1-1-111-1-1111-1-11
χ511111111111111111111111111111-1-1111111111111111111111-1-1-1-1-111111111111-1-111-111-11-1-1111111-1-11-1-1-1-111-1-1-1-11-1-1-1
χ611111111111111111111111111111-1-1111111111111111111-1-11-1-1-1-1-11111-1-1-1-1-1-11-1-111-11-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-11111-1-111
χ711111111111111111111111111111-1-111111111111111111-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-11-1-1-1-1111111-1-1-111-1-1-1-111-11-11
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
χ91111111111111111111-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111111-1-111-1-1-1-111111-1-1-1-11-1-1-1-111-1-11-11-1111-1-1-1-1-1-11-111
χ101111111111111111111-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1111111-1-1-1-1111111111-1-11-1-1-1-1-1-1-1-1111-1-11-111111111-1-1-1-1
χ111111111111111111111-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11111-1-11111-1-111-111-1-1-11-1-11-1-11111-1-1-11-1-11-1-111-1-111-111-1
χ121111111111111111111-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11111-1-111-1-111-1-1-111-1-1-111-1-1-1-111-1-111-1111-1-1-1-1-111-1-111-11
χ131111111111111111111-1111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-1-1-111-1-111-1-1-1-11-1-1111-1-11111-1-111-1-1-1111-1-1-1-1-1111111-1-1
χ141111111111111111111-1111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-1-1-1-111-1-1-1-111111-1-1111-111-111-1-1-1-111-11-1-11-1-111-1-1-1-1-1111
χ151111111111111111111-1111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-1-1-1-11111-1-111-1-1-1-1-111-111111111-1-11-1-11-1111111-1-1-1-1-11
χ161111111111111111111-1111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-11111-11111-1-1111-11-1111-1-1-1-1111-11-1
χ17222222-12-12-1-122222-1-1222-1-1-1-1-1-1222-1-1-1-1-122-1-1-1-122-1-1-1-12002222-1-1-1-1220000002-1-1-1-1-1-1020-1-1-1-1000022000-1-10000000-100
χ18222222-12-12-1-122222-1-1222-1-1-1-1-1-1222-1-1-1-1-122-1-1-1-122-1-1-1-1-200-2222-1-111-2-2000000-2-1-111-11020-1-1110000-2-2000110000000100
χ19222222-12-12-1-122222-1-1222-1-1-1-1-1-12-2-2-1-1-1-1-122-1-1-1-122-1-1-1-12002-2-2-211-1-122000000211-1-11-10-2011-1-10000-2-2000110000000100
χ20222222-12-12-1-122222-1-1222-1-1-1-1-1-12-2-2-1-1-1-1-122-1-1-1-122-1-1-1-1-200-2-2-2-21111-2-2000000-21111110-201111000022000-1-10000000-100
χ21222222-12-12-1-122222-1-1-222-1-1-1-1-1-1222-1-1-1-11-2-21111-2-21111200-2-222-1-1-1-1-2-20000002-1-1-1-1110-20111100002-2000-1-10000000100
χ22222222-12-12-1-122222-1-1-222-1-1-1-1-1-1222-1-1-1-11-2-21111-2-21111-2002-222-1-11122000000-2-1-1111-10-2011-1-10000-22000110000000-100
χ23222222-12-12-1-122222-1-1-222-1-1-1-1-1-12-2-2-1-1-1-11-2-21111-2-21111200-22-2-211-1-1-2-2000000211-1-1-11020-1-1110000-22000110000000-100
χ24222222-12-12-1-122222-1-1-222-1-1-1-1-1-12-2-2-1-1-1-11-2-21111-2-21111-20022-2-2111122000000-21111-1-1020-1-1-1-100002-2000-1-10000000100
χ2522222-1222-122-1-122-12-12-1-12-12-12-1-100-1-1-1-12-1222-1-1-1-1-1-1-1-122220000022-1-1-1-12222-100-1-102-10200-1-1-1-1-1-10020000-1-10000-1000
χ2622222-1222-122-1-122-12-12-1-12-12-12-1-100-1-1-1-12-1222-1-1-1-1-1-1-1-12-2-220000022-1-111-2-2-2-2-100-1-10210-200-1-1111100-200001100001000
χ2722222-1222-122-1-122-12-12-1-12-12-12-1-100-1-1-1-12-1222-1-1-1-1-1-1-1-1-222-200000-2-211-1-122-2-2100110-2-1020011-1-1-1-100-200001100001000
χ2822222-1222-122-1-122-12-12-1-12-12-12-1-100-1-1-1-12-1222-1-1-1-1-1-1-1-1-2-2-2-200000-2-21111-2-222100110-210-2001111110020000-1-10000-1000
χ2922222-1222-122-1-122-12-1-2-1-12-12-12-1-100-1-1-1-1-21-2-2-21111111122-2-2000002211-1-1-2-2-2-2-100-1-10-21020011-1-1110020000110000-1000
χ3022222-1222-122-1-122-12-1-2-1-12-12-12-1-100-1-1-1-1-21-2-2-2111111112-22-2000002211112222-100-1-10-2-10-2001111-1-100-20000-1-100001000
χ3122222-1222-122-1-122-12-1-2-1-12-12-12-1-100-1-1-1-1-21-2-2-211111111-22-2200000-2-2-1-1-1-1-2-222100110210200-1-1-1-11100-20000-1-100001000
χ3222222-1222-122-1-122-12-1-2-1-12-12-12-1-100-1-1-1-1-21-2-2-211111111-2-22200000-2-2-1-11122-2-21001102-10-200-1-111-1-10020000110000-1000
χ332222-122-1222222-1-1-1-122-1-1-12-12-12-122-1-1-1-122-1-1-122-1-1-1-1-1-102202-1-122000022-1-1000-1-100202-1-1-1-100-1-1-1-1000220000-1-10000-10
χ342222-122-1222222-1-1-1-122-1-1-12-12-12-122-1-1-1-122-1-1-122-1-1-1-1-1-10-2-202-1-1220000-2-211000-1-10020-2-11-1-1001111000-2-2000011000010
χ352222-122-1222222-1-1-1-122-1-1-12-12-12-1-2-2-1-1-1-122-1-1-122-1-1-1-1-1-10220-211-2-2000022-1-10001100-2021-11100-1-1-1-1000-2-2000011000010
χ362222-122-1222222-1-1-1-122-1-1-12-12-12-1-2-2-1-1-1-122-1-1-122-1-1-1-1-1-10-2-20-211-2-20000-2-2110001100-20-21111001111000220000-1-10000-10
χ372222-122-1222222-1-1-1-12-2-1-1-12-12-12-122-1-1-1-1-2-2111-2-211111102-20-2-1-12200002211000-1-100-20-21-11100-1-111000-220000110000-10
χ382222-122-1222222-1-1-1-12-2-1-1-12-12-12-122-1-1-1-1-2-2111-2-21111110-220-2-1-1220000-2-2-1-1000-1-100-20211110011-1-10002-20000-1-1000010
χ392222-122-1222222-1-1-1-12-2-1-1-12-12-12-1-2-2-1-1-1-1-2-2111-2-211111102-20211-2-200002211000110020-2-1-1-1-100-1-1110002-20000-1-1000010
χ402222-122-1222222-1-1-1-12-2-1-1-12-12-12-1-2-2-1-1-1-1-2-2111-2-21111110-220211-2-20000-2-2-1-10001100202-11-1-10011-1-1000-220000110000-10
χ412-22-22222-222-2-2-2-2-222202-22-2-2-2-22-22-222-2-20000000000000000002-22-2000000002i−2i02-200000000000000000000002i−2i002i−2i0000
χ422-22-22222-222-2-2-2-2-222202-22-2-2-2-22-22-222-2-20000000000000000002-22-200000000−2i2i02-20000000000000000000000−2i2i00−2i2i0000
χ432-22-22222-222-2-2-2-2-222202-22-2-2-2-22-2-2222-2-2000000000000000000-22-22000000002i−2i0-2200000000000000000000002i−2i00−2i2i0000
χ442-22-22222-222-2-2-2-2-222202-22-2-2-2-22-2-2222-2-2000000000000000000-22-2200000000−2i2i0-220000000000000000000000−2i2i002i−2i0000
χ4544444-2-24-2-2-2-2-2-244-2-214-2-2-21-21-21-2001111-2-24-2-211-2-21111400400000-2-2-2-2000000-200110-20000011000000000000000000000
χ4644444-2-24-2-2-2-2-2-244-2-214-2-2-21-21-21-2001111-2-24-2-211-2-21111-400-4000002222000000200-1-10200000-1-1000000000000000000000
χ4744444-2-24-2-2-2-2-2-244-2-21-4-2-2-21-21-21-200111122-422-1-122-1-1-1-1400-400000-2-222000000-200110200000-1-1000000000000000000000
χ4844444-2-24-2-2-2-2-2-244-2-21-4-2-2-21-21-21-200111122-422-1-122-1-1-1-1-40040000022-2-2000000200-1-10-20000011000000000000000000000
χ494444-24-2-2-24-2-244-2-2-21-24-2-21-21-21-2-2441111-24-211-2-2-2-2111100004-2-2-2-2000000000001100-200-201100000000000000000000000
χ504444-24-2-2-24-2-244-2-2-21-24-2-21-21-21-2-2-4-41111-24-211-2-2-2-211110000-4222200000000000-1-10020020-1-100000000000000000000000
χ514444-24-2-2-24-2-244-2-2-21-2-4-2-21-21-21-2-24411112-42-1-12222-1-1-1-10000-4-2-2-2-200000000000110020020-1-100000000000000000000000
χ524444-24-2-2-24-2-244-2-2-21-2-4-2-21-21-21-2-2-4-411112-42-1-12222-1-1-1-100004222200000000000-1-100-200-201100000000000000000000000
χ534444-2-24-24-244-2-2-2-21-2-2411-2-2-2-2-2-210011114-2-2-2-2-2-21111110440000000000-2-2-2-2000000000-20-20000111100000000000000000
χ544444-2-24-24-244-2-2-2-21-2-2411-2-2-2-2-2-210011114-2-2-2-2-2-21111110-4-4000000000022220000000002020000-1-1-1-100000000000000000
χ554444-2-24-24-244-2-2-2-21-2-2-411-2-2-2-2-2-21001111-4222222-1-1-1-1-1-104-40000000000-2-22200000000020-2000011-1-100000000000000000
χ564444-2-24-24-244-2-2-2-21-2-2-411-2-2-2-2-2-21001111-4222222-1-1-1-1-1-10-44000000000022-2-2000000000-2020000-1-11100000000000000000
χ5744-4-4444-44-4-4-44-4-444440-4-4-4-444-4-44004-4-440000000000000000000000000000000000000000000000000000000000000000000
χ5844-4-444-2-4-2-4224-4-444-2-20-4-422-2-222400-222-20000000000000000000000000000000000000000000000000000000−2i32i30000000000
χ5944-4-444-2-4-2-4224-4-444-2-20-4-422-2-222400-222-200000000000000000000000000000000000000000000000000000002i3−2i30000000000
χ6044-4-44-24-442-4-4-22-44-24-2022-424-2-42-200-222-200000000000000000000000000−2i32i3000000000000000000−2i32i30000000000000000000
χ6144-4-44-24-442-4-4-22-44-24-2022-424-2-42-200-222-2000000000000000000000000002i3−2i30000000000000000002i3−2i30000000000000000000
χ6244-4-4-24424-4-4-44-42-2-2-240222-4-242-4-200-222-20000000000000000000000000000−2i32i3000000000000000000−2i32i300000000000000000
χ6344-4-4-24424-4-4-44-42-2-2-240222-4-242-4-200-222-200000000000000000000000000002i3−2i30000000000000000002i3−2i300000000000000000
χ6444-4-4-2-24242-4-4-222-21-2-20-1-122-2-2221001-1-1100000003-333-3-30000000000000−2i32i3−2i32i30000000000000000i3−i3i3−i300000000000000000
χ6544-4-4-2-24242-4-4-222-21-2-20-1-122-2-2221001-1-1100000003-333-3-300000000000002i3−2i32i3−2i30000000000000000−i3i3−i3i300000000000000000
χ6644-4-4-2-24242-4-4-222-21-2-20-1-122-2-2221001-1-110000000-33-3-3330000000000000−2i32i32i3−2i30000000000000000i3−i3−i3i300000000000000000
χ6744-4-4-2-24242-4-4-222-21-2-20-1-122-2-2221001-1-110000000-33-3-33300000000000002i3−2i3−2i32i30000000000000000−i3i3i3−i300000000000000000
χ684-44-444-2424-22-4-4-4-44-2-204-4-22222-2-44-4-2-2220000000000000000004-4-2200000000000-2200000000000000000000000000000000
χ694-44-444-2424-22-4-4-4-44-2-204-4-22222-2-4-44-2-222000000000000000000-442-2000000000002-200000000000000000000000000000000
χ704-44-44-244-4-24-422-4-4-24-20-2242-42-4-2200-2-2220000000000000000000000000000004i−4i0000000000000000000000000−2i2i00000000
χ714-44-44-244-4-24-422-4-4-24-20-2242-42-4-2200-2-222000000000000000000000000000000−4i4i00000000000000000000000002i−2i00000000
χ724-44-4-244-2-444-4-4-422-2-240-22-2-42-42424-4-2-222000000000000000000-224-400000000000-2200000000000000000000000000000000
χ734-44-4-244-2-444-4-4-422-2-240-22-2-42-4242-44-2-2220000000000000000002-2-44000000000002-200000000000000000000000000000000
χ744-44-4-24-2-224-22-4-422-21-20-2212-12-1-224-411-1-10003i−3i00003i−3i3i−3i00000-22-22000000000001-100000003i−3i00000000000000000000000
χ754-44-4-24-2-224-22-4-422-21-20-2212-12-1-224-411-1-1000−3i3i0000−3i3i−3i3i00000-22-22000000000001-10000000−3i3i00000000000000000000000
χ764-44-4-24-2-224-22-4-422-21-20-2212-12-1-22-4411-1-10003i−3i00003i−3i3i−3i000002-22-200000000000-110000000−3i3i00000000000000000000000
χ774-44-4-24-2-224-22-4-422-21-20-2212-12-1-22-4411-1-1000−3i3i0000−3i3i−3i3i000002-22-200000000000-1100000003i−3i00000000000000000000000
χ784-4-44444-4-4-4-44-444-44440-44-44-4-44-4-4004-44-40000000000000000000000000000000000000000000000000000000000000000000
χ794-4-4444-2-42-42-2-444-44-2-20-442-222-22-400-22-220000000000000000000000−2i32i300000000000−2i32i3000000000000000000000000000000
χ804-4-4444-2-42-42-2-444-44-2-20-442-222-22-400-22-2200000000000000000000002i3−2i3000000000002i3−2i3000000000000000000000000000000
χ814-4-444-24-4-42-442-24-4-24-202-2-4-2-4242200-22-2200000000000000000000000023−2300000000000000000023−23000000000000000000000
χ824-4-444-24-4-42-442-24-4-24-202-2-4-2-4242200-22-22000000000000000000000000−2323000000000000000000−2323000000000000000000000
χ834-4-444-2-2-4222-22-24-4-2-2102-2212-1-2-12001-11-1000003i−3i003i−3i−3i3i000000000−2i32i323−23000000000i3−i30000000−33000000000000000000000
χ844-4-444-2-2-4222-22-24-4-2-2102-2212-1-2-12001-11-1000003i−3i003i−3i−3i3i0000000002i3−2i3−2323000000000−i3i300000003−3000000000000000000000
χ854-4-444-2-2-4222-22-24-4-2-2102-2212-1-2-12001-11-100000−3i3i00−3i3i3i−3i000000000−2i32i3−2323000000000i3−i300000003−3000000000000000000000
χ864-4-444-2-2-4222-22-24-4-2-2102-2212-1-2-12001-11-100000−3i3i00−3i3i3i−3i0000000002i3−2i323−23000000000−i3i30000000−33000000000000000000000
χ874-4-44-2442-4-4-44-44-22-2-2402-2242-4-2-4200-22-220000000000000000000000000000000000000000000000000000000000023−23000000
χ884-4-44-2442-4-4-44-44-22-2-2402-2242-4-2-4200-22-2200000000000000000000000000000000000000000000000000000000000−2323000000
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
χ9188-8-88-4-4-8-4444-44-88-4-420444-2-424-2-4002-2-220000000000000000000000000000000000000000000000000000000000000000000
χ9288-8-8-48-44-4-8448-84-4-42-4044-242-4-24-4002-2-220000000000000000000000000000000000000000000000000000000000000000000
χ9388-8-8-4-4-44-4444-444-42220-2-2-2-222-2-2200-111-100000006-6-3-333000000000000000000000000000000000000000000000000000000
χ9488-8-8-4-4-44-4444-444-42220-2-2-2-222-2-2200-111-10000000-6633-3-3000000000000000000000000000000000000000000000000000000
χ958-88-88-4-484-4-4444-8-8-4-420-44-4-24-24240022-2-20000000000000000000000000000000000000000000000000000000000000000000
χ968-88-8-4-48-4-8-48-844442-4-402-2-44444-4-20022-2-20000000000000000000000000000000000000000000000000000000000000000000
χ978-88-8-4-4-4-44-4-44444422202-22-2-2-2-22-200-1-1110006i−6i0000−3i3i−3i3i000000000000000000000000000000000000000000000000000000
χ988-88-8-4-4-4-44-4-44444422202-22-2-2-2-22-200-1-111000−6i6i00003i−3i3i−3i000000000000000000000000000000000000000000000000000000
χ998-8-88-48-444-84-4-88-44-42-404-4-2-4-24244002-22-20000000000000000000000000000000000000000000000000000000000000000000
χ1008-8-88-4-484-84-884-4-442-4-40-224-444-44-2002-22-20000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-88-4-4-44444-44-4-442220-22-22-2-22-2-200-11-11000006i−6i00−3i3i3i−3i000000000000000000000000000000000000000000000000000000
χ1028-8-88-4-4-44444-44-4-442220-22-22-2-22-2-200-11-1100000−6i6i003i−3i−3i3i000000000000000000000000000000000000000000000000000000

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