Finite Group Databasebeta

← Group #13171657

Character table — Group #13171657

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size1122222223344444444444466666666688888888888121212121212121212121212121212121212121616161618181818242424242424242424242424243636363636363636363648727272108108
order123334666443334666121212121222466121212123612121212121212121224466666668121212121212242412121212241212666612121212121224242422266688242412662448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-11111111-1111111-1-1111111111111-11-1111-1-1-11-1-1111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-11111111111111111-11-11111-1-11-1-1-1-111111111-1-1-1-111111-11-1-1-1111-11-1-1-1-11-1111-11-1-1-1
χ4111111111111111111111111-1-1-1-11111111111111111-1-1-11111-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11-1-1-11-1111
χ511111111111111-11111-1-11111111111111-1-11-1-11-1-11-1-11111-1-111-111-1-111-1-1-11-1-11111-11-1-11-111-1-1-1-1-1-1111-1-1-1-1-1-1111-11-1
χ611111111111111-11111-1-11111111111111-1-11-1-11-1-11-1-1-1111-1-111111-1-11111-11-1-11111-11-1-1-1-1-11-1-1111-1-1-11-1-11111-1-1-11-11
χ711111111111111-11111-1-1111-1-1-1-1111111-1-11-1-11-1-11-111-111-1-1-1-1-1-1-11111-1-1-11-1-1-1-1-1-1-11-1-1111-111-1-1-111-1-111-11-1-11-111-11
χ811111111111111-11111-1-1111-1-1-1-1111111-1-11-1-11-1-11-11-1-111-1-1-1-11-1-1111111-11-1-1-1-1-1-1-11-1-1-11-1-1111111-11-1111-111-11-1-11-1
χ9111111111-1-1111111111111-11111-1-1-1-111111111111-1111-1-1-1-11111111-1-1111111-1-1-1-1-1-1-1-1111111111-1-11-1-1-1-11-1-111-11-1-1
χ10111111111-1-1111111111111-11111-1-1-1-111111111111-11-11-1-1-1-111-11111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1111-1-1-1-11-1-1-1-11-111-1-11-111
χ11111111111-1-1111111111111-1-1-1-1-1-1-1-1-111111111111-1-11-1-1-1-1-1-1-11-1-1-1-1-1-11111111111-1-1-1-11-11-1-1-11111-1-1111-1-1-1-11-1-1-111
χ12111111111-1-1111111111111-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1111-1-1
χ13111111111-1-1111-11111-1-111-11111-1-1-1-111-1-11-1-11-1-111-111-1-11111-111-1-1-1-1-1-1-11-1-1-1-1-1-11-1111-111-1-1-1-1-11-11-1111-11111-1-1-11
χ14111111111-1-1111-11111-1-111-11111-1-1-1-111-1-11-1-11-1-111-1-11-1-11111111-1-1-1-111-11-1-1-1-1-1-11-111-1-1-11-1-111111-1-111-11-1-1-1-1111-1
χ15111111111-1-1111-11111-1-111-1-1-1-1-1-1-1-1-111-1-11-1-11-1-11111-1-1-111-1-1-1-1-111-1-1-1-1-11-1-111111-111111-111-1-1-1-1-1-11-1-111111-1-111-1
χ16111111111-1-1111-11111-1-111-1-1-1-1-1-1-1-1-111-1-11-1-11-1-1111-1-1-1-111-1-11-1-111-1-111-11-1-111111-111-11-1-111111-1111-1-1-1-1-1-1-111-1-11
χ1722222-2222222220222-200-2-2-22-22222222200-200-200-20002-2-200220-2-20022000-200-22220-200000-200000000-2000000000000
χ1822222-2222222220222-200-2-2-2-22-2-222222200-200-200-2000-2-2-200-2-20220022000-2002-2-2-20-2000002000000002000000000000
χ1922222-2222-2-22220222-200-2-222-222-2-2-2-22200-200-200-200022200220-2-200-2-2000-2002-2-2-20200000-2000000002000000000000
χ2022222-2222-2-22220222-200-2-22-22-2-2-2-2-2-22200-200-200-2000-22200-2-202200-2-2000-200-22220200000200000000-2000000000000
χ212222-1222-1222-1-12-12-1-1-1-122222-1-122-1-1-1-122-1-1-1-1-1-1222022-1-1-1-1-102-1-1-1-1-1002-1-1-122-1-12-1-1-1020-1-1-1000200-1-1-10000000000
χ222222-1222-1222-1-12-12-1-1-1-1222-2-21122-1-1-1-122-1-1-1-1-1-122-20-22-1-1-1110-2111-1-1002-1-1-1-2-2112-1-1-10-20111000-2001110000000000
χ232222-1222-1222-1-1-2-12-1-11122222-1-122-1-1-1-1-2-2-111-1112-2-2022-111-1-102-111-1-100-2-11122-1-1-2-1110-20-111000-200-1110000000000
χ242222-1222-1222-1-1-2-12-1-111222-2-21122-1-1-1-1-2-2-111-1112-220-22-111110-21-1-1-1-100-2-111-2-211-2-1110201-1-10002001-1-10000000000
χ252222-1222-1-2-22-1-12-12-1-1-1-122-222-1-1-2-211-1-122-1-1-1-1-1-12-2202-2111-1-102-1-1-111002-1-1-1-2-211-2111020-1-1-1000-2001110000000000
χ262222-1222-1-2-22-1-12-12-1-1-1-122-2-2-211-2-211-1-122-1-1-1-1-1-12-2-20-2-2111110-211111002-1-1-122-1-1-21110-20111000200-1-1-10000000000
χ272222-1222-1-2-22-1-1-2-12-1-11122-222-1-1-2-211-1-1-2-2-111-11122-202-21-1-1-1-102-1111100-2-111-2-21121-1-10-20-1110002001-1-10000000000
χ282222-1222-1-2-22-1-1-2-12-1-11122-2-2-211-2-211-1-1-2-2-111-1112220-2-21-1-1110-21-1-11100-2-11122-1-121-1-10201-1-1000-200-1110000000000
χ292222-1-222-1222-1-10-12-11−i3i3-2-2-22-2-1-122-1-1-1-1001−i3i31−i3i3-20002-21−i3i3-1-10-21−i3i3-1-10001−i3i3-22-1-101−i3i30001−i3i30000001−i3i30000000000
χ302222-1-222-1222-1-10-12-11−i3i3-2-2-2-221122-1-1-1-1001−i3i31−i3i3-2000-2-21−i3i31102-1i3−i3-1-10001−i3i32-21101−i3i3000-1i3−i3000000-1i3−i30000000000
χ312222-1-222-1222-1-10-12-11i3−i3-2-2-22-2-1-122-1-1-1-1001i3−i31i3−i3-20002-21i3−i3-1-10-21i3−i3-1-10001i3−i3-22-1-101i3−i30001i3−i30000001i3−i30000000000
χ322222-1-222-1222-1-10-12-11i3−i3-2-2-2-221122-1-1-1-1001i3−i31i3−i3-2000-2-21i3−i31102-1−i3i3-1-10001i3−i32-21101i3−i3000-1−i3i3000000-1−i3i30000000000
χ332222-1-222-1-2-22-1-10-12-11−i3i3-2-222-2-1-1-2-211-1-1001−i3i31−i3i3-200022-1i3−i3-1-10-21−i3i3110001−i3i32-2110-1i3−i30001−i3i3000000-1i3−i30000000000
χ342222-1-222-1-2-22-1-10-12-11−i3i3-2-22-2211-2-211-1-1001−i3i31−i3i3-2000-22-1i3−i31102-1i3−i3110001−i3i3-22-1-10-1i3−i3000-1i3−i30000001−i3i30000000000
χ352222-1-222-1-2-22-1-10-12-11i3−i3-2-222-2-1-1-2-211-1-1001i3−i31i3−i3-200022-1−i3i3-1-10-21i3−i3110001i3−i32-2110-1−i3i30001i3−i3000000-1−i3i30000000000
χ362222-1-222-1-2-22-1-10-12-11i3−i3-2-22-2211-2-211-1-1001i3−i31i3−i3-2000-22-1−i3i31102-1−i3i3110001i3−i3-22-1-10-1−i3i3000-1−i3i30000001i3−i30000000000
χ37222-122-12222-12-12-1-12222-1220000-1-122-1-1-12-1-1-1222-12020-12220020000-1-1-1-1-1-1-1-10000-1-1-1-1-1020002-1-102000020-1-1-10-1000
χ38222-122-12222-12-12-1-12222-1220000-1-122-1-1-12-1-1-1222-120-20-122200-20000-1-111-1-1-1-10000-1-1-1-110-2000-2110-20000-2011101000
χ39222-122-12222-12-1-2-1-122-2-2-1220000-1-122-1-11-2-1112-2-2-1-2020-12-2-200-20000-1-1111-11100001-111-102000-211020000-2011-10-1000
χ40222-122-12222-12-1-2-1-122-2-2-1220000-1-122-1-11-2-1112-2-2-1-20-20-12-2-20020000-1-1-1-11-11100001-11110-20002-1-10-2000020-1-1101000
χ41222-122-122-2-2-12-12-1-12222-12-2000011-2-2-1-1-12-1-1-1222-1-20201-2-2-2002000011-1-1-1-1-1-100001111-1020002-1-10-20000-2011-101000
χ42222-122-122-2-2-12-12-1-12222-12-2000011-2-2-1-1-12-1-1-1222-1-20-201-2-2-200-200001111-1-1-1-10000111110-2000-21102000020-1-110-1000
χ43222-122-122-2-2-12-1-2-1-122-2-2-12-2000011-2-2-1-11-2-1112-2-2-120201-22200-2000011111-1110000-11-1-1-102000-2110-2000020-1-1-101000
χ44222-122-122-2-2-12-1-2-1-122-2-2-12-2000011-2-2-1-11-2-1112-2-2-120-201-222002000011-1-11-1110000-11-1-110-20002-1-1020000-201110-1000
χ4522-12222-1200-1-1222-1-12222-1022220000-1-12-1222-1-1-1-1022-10000-1-12-12220022-1-1-1-1000000002-1-1-1-1-1-1-1-10020000200-1-10-100
χ4622-12222-1200-1-1222-1-12222-1022220000-1-12-1222-1-1-1-102-2-10000-1-1-2-122200-2-2-1-1-1-100000000-2-11-1-1-111100-20000-200110100
χ4722-12222-1200-1-1222-1-12222-10-2-2-2-20000-1-12-1222-1-1-1-10-22100001121-2-2-20022-1-1-1-10000000021-1111-1-1-100-20000-200-110100
χ4822-12222-1200-1-1222-1-12222-10-2-2-2-20000-1-12-1222-1-1-1-10-2-21000011-21-2-2-200-2-2-1-1-1-100000000-21111111100200002001-10-100
χ4922-12222-1200-1-12-22-1-12-2-22-1022220000-1-1-212-2-2-111-10-22-10000-1-1-2-12-2-200-2-21-1110000000021-1-1111110020000-200-1-10100
χ5022-12222-1200-1-12-22-1-12-2-22-1022220000-1-1-212-2-2-111-10-2-2-10000-1-12-12-2-200221-11100000000-211-111-1-1-100-20000200110-100
χ5122-12222-1200-1-12-22-1-12-2-22-10-2-2-2-20000-1-1-212-2-2-111-10221000011-21-22200-2-21-111000000002-1-11-1-111100-20000200-110-100
χ5222-12222-1200-1-12-22-1-12-2-22-10-2-2-2-20000-1-1-212-2-2-111-102-2100001121-22200221-11100000000-2-111-1-1-1-1-10020000-2001-10100
χ53444-24-4-24444-24-20-2-24-4002-4-40000-2-244-2-200200-400200002-4000000000-2-2000200000002000000000000000000000000000
χ54444-24-4-244-4-4-24-20-2-24-4002-44000022-4-4-2-200200-40020000-240000000002200020000000-2000000000000000000000000000
χ55444-2-24-24-244-2-2141-2-2-2-2-2-2440000-2-2-2-211-24111-2-2-2-24000-2-2-2-200000001100-21110000-21110000000000000000000000000
χ56444-2-24-24-244-2-21-41-2-2-222-2440000-2-2-2-2112-41-1-1-222-2-4000-2-2220000000110021-1-1000021-1-10000000000000000000000000
χ57444-2-24-24-2-4-4-2-2141-2-2-2-2-2-24-40000222211-24111-2-2-2-2-400022220000000-1-100-211100002-1-1-10000000000000000000000000
χ58444-2-24-24-2-4-4-2-21-41-2-2-222-24-400002222112-41-1-1-222-2400022-2-20000000-1-10021-1-10000-2-1110000000000000000000000000
χ59444-2-2-4-24-244-2-2101-2-22−2i32i32-4-40000-2-2-2-21100-1i3−i32−2i32i32000022−2i32i3000000011000-1i3−i300000-1i3−i30000000000000000000000000
χ60444-2-2-4-24-244-2-2101-2-222i3−2i32-4-40000-2-2-2-21100-1−i3i322i3−2i320000222i3−2i3000000011000-1−i3i300000-1−i3i30000000000000000000000000
χ61444-2-2-4-24-2-4-4-2-2101-2-22−2i32i32-44000022221100-1i3−i32−2i32i320000-2-22i3−2i30000000-1-1000-1i3−i3000001−i3i30000000000000000000000000
χ62444-2-2-4-24-2-4-4-2-2101-2-222i3−2i32-44000022221100-1−i3i322i3−2i320000-2-2−2i32i30000000-1-1000-1−i3i3000001i3−i30000000000000000000000000
χ6344-244-44-2400-2-2404-2-2-400-4204-4440000-2-200-4002002000-20000-2-202-40000000200000000000002000000000000000000000
χ6444-244-44-2400-2-2404-2-2-400-420-44-4-40000-2-200-400200200020000220-24000000020000000000000-2000000000000000000000
χ6544-24-244-2-200-21-24-2-21-2-2-24-2044-2-20000114-2-2-2-2111-2040-20000110-2-2-2-20000-2111000000000-201110000000000000000000
χ6644-24-244-2-200-21-24-2-21-2-2-24-20-4-4220000114-2-2-2-2111-20-4020000-1-1022220000-211100000000020-1-1-10000000000000000000
χ6744-24-244-2-200-21-2-4-2-21-2224-2044-2-2000011-42-2221-1-1-20-40-20000110-2-222000021-1-1000000000201-1-10000000000000000000
χ6844-24-244-2-200-21-2-4-2-21-2224-20-4-422000011-42-2221-1-1-204020000-1-1022-2-2000021-1-1000000000-20-1110000000000000000000
χ6944-24-2-44-2-200-21-20-2-212−2i32i3-4204-4-2-2000011002−2i32i3-1i3−i32000-2000011022−2i32i300000-1i3−i300000000000-1i3−i30000000000000000000
χ7044-24-2-44-2-200-21-20-2-212−2i32i3-420-4422000011002−2i32i3-1i3−i3200020000-1-10-2-22i3−2i300000-1i3−i3000000000001−i3i30000000000000000000
χ7144-24-2-44-2-200-21-20-2-2122i3−2i3-4204-4-2-20000110022i3−2i3-1−i3i32000-20000110222i3−2i300000-1−i3i300000000000-1−i3i30000000000000000000
χ7244-24-2-44-2-200-21-20-2-2122i3−2i3-420-44220000110022i3−2i3-1−i3i3200020000-1-10-2-2−2i32i300000-1−i3i3000000000001i3−i30000000000000000000
χ7344-2-244-2-24001-2-24-21-2444-2-200000000011-2-2-2-2-2-2-2-2100400000004000000-2-2111100000000-20-2000-2110000000000100000
χ7444-2-244-2-24001-2-24-21-2444-2-200000000011-2-2-2-2-2-2-2-2100-40000000-4000000221111000000002020002-1-10000000000-100000
χ7544-2-244-2-24001-2-2-4-21-24-4-4-2-20000000001122-222-22210040000000-400000022-11-1-100000000-20-20002-1-10000000000100000
χ7644-2-244-2-24001-2-2-4-21-24-4-4-2-20000000001122-222-222100-400000004000000-2-2-11-1-100000000202000-2110000000000-100000
χ774-44440-4-4-44i−4i4440-4-4-400000000004i−4i4i−4i4-40000000000000000000000004i−4i000000000000000000000000000000000000000
χ784-44440-4-4-4−4i4i4440-4-4-40000000000−4i4i−4i4i4-4000000000000000000000000−4i4i000000000000000000000000000000000000000
χ794-444-20-4-424i−4i4-2-202-4200000000−2i32i34i−4i−2i2i-2200000000000000000−2i32i300000−2i2i0000000023−2300000000000000000000000000000
χ804-444-20-4-424i−4i4-2-202-42000000002i3−2i34i−4i−2i2i-22000000000000000002i3−2i300000−2i2i00000000−232300000000000000000000000000000
χ814-444-20-4-42−4i4i4-2-202-4200000000−2i32i3−4i4i2i−2i-2200000000000000000−2i32i3000002i−2i00000000−232300000000000000000000000000000
χ824-444-20-4-42−4i4i4-2-202-42000000002i3−2i3−4i4i2i−2i-22000000000000000002i3−2i3000002i−2i0000000023−2300000000000000000000000000000
χ834-44-2402-4-44i−4i-24-2022-40000000000−2i2i4i−4i-22000000000000000000000000−2i2ii6−i60000000000000000000i6−i6000000006−6000000
χ844-44-2402-4-44i−4i-24-2022-40000000000−2i2i4i−4i-22000000000000000000000000−2i2i−i6i60000000000000000000−i6i600000000−66000000
χ854-44-2402-4-4−4i4i-24-2022-400000000002i−2i−4i4i-220000000000000000000000002i−2ii6−i60000000000000000000i6−i600000000−66000000
χ864-44-2402-4-4−4i4i-24-2022-400000000002i−2i−4i4i-220000000000000000000000002i−2i−i6i60000000000000000000−i6i6000000006−6000000
χ8788-4-48-8-4-48002-4-40-42-4-800440000000002200400400-200000000000000000000-200000000000000000000000000000000000
χ8888-4-4-48-4-4-4002228222-4-4-4-4-4000000000-1-1-4-4222222200000000000000000002-1-1-1000000000000000000000000000000000
χ8988-4-4-48-4-4-400222-8222-444-4-4000000000-1-1442-2-22-2-220000000000000000000-2-111000000000000000000000000000000000
χ9088-4-4-4-8-4-4-40022202224−4i34i344000000000-1-100-22i3−2i3-22i3−2i3-2000000000000000000001−i3i3000000000000000000000000000000000
χ9188-4-4-4-8-4-4-400222022244i3−4i344000000000-1-100-2−2i32i3-2−2i32i3-2000000000000000000001i3−i3000000000000000000000000000000000
χ928-88-4-404-848i−8i-4-420-2440000000000−4i4i−4i4i2-20000000000000000000000002i−2i000000000000000000000000000000000000000
χ938-88-4-404-84−8i8i-4-420-24400000000004i−4i4i−4i2-2000000000000000000000000−2i2i000000000000000000000000000000000000000
χ948-8-4880-84-800-4-480-84400000000000000-4400000000000000000000000000000000000000000000000000000000000000000
χ958-8-48-40-84400-42-4044-200000000−4i34i300002-2000000000000000002i3−2i30000000000000000000000000000000000000000000000
χ968-8-48-40-84400-42-4044-2000000004i3−4i300002-200000000000000000−2i32i30000000000000000000000000000000000000000000000
χ978-8-4-48044-8002-4-404-24000000000000002-2000000000000000000000000002i6−2i60000000000000000000−i6i60000000000000000
χ988-8-4-48044-8002-4-404-24000000000000002-200000000000000000000000000−2i62i60000000000000000000i6−i60000000000000000
χ9916-16-8-8-80888004440-4-4-400000000000000-2200000000000000000000000000000000000000000000000000000000000000000

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