Finite Group Databasebeta

← Group #13168059

Character table — Group #13168059

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size1111222222222222444444444444466668888888888888888812121212121212121212121212121212181818182424242424242424242424242424242424243636363636363636363654545454727272
order1222333666666666333466666666622223666121212121212121212121212122444666666661212121244446666666612121212121212121212244466121212124444121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111-11-111111111-1-1-1-1-1-1-1-1111111111-1-1111-1-1-1-111-1-111-1-1-1-1-1-1-1-11-1-1
χ31111111111111111111111111111111-1-11111111111111111111-11-1-11111-1-1111111-1-111-1-11111-111-1-1-11111-1-11-1-1-111-1-1-1-1-1-1-11-1
χ41111111111111111111111111111111-1-1111111111111111111-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-11
χ511111111111111111111111111111-1-11111111111111111111-111111-1-1-1-1111111-1-111-1-111-1-1-1-11111111111-1-1-11-1-1-1-111-1-1-1-1-1-11
χ611111111111111111111111111111-1-11111111111111111111-1-11-111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-11-1-1111-1-1-1-1-1-11-1-1-111-1-11111-11-1
χ711111111111111111111111111111-1-1-1-111111111111111111-11-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111111-1-111-1-1-1-111111-1-1
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
χ91111111111111111111-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111111111-1-111-1-1-1-11111-1-1-1-11-1-1-1-1-1111-1-111111-1-1-1-111-1-11
χ101111111111111111111-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111-1-111-1-11111-1-1-11-1-1-1-111-1-11-11-111-1-11111-1-1-11-1
χ111111111111111111111-111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111-1-111-1-11111-1-1-1-111-1-11-11111-1-111-11-1-1-1-1111111-1-11-1-1
χ121111111111111111111-111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-1-111-1-111-111111-1-1-1111-1-1-1-1-1-1-1-111111
χ131111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-11-1-1-1-1-111-1111-1-1-1-1-1-111-1-1111
χ141111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-111-1-11111111111-1-111-11-1-1-1-111-1-1-11-1-1-1-11111-1-1111-1-1
χ151111111111111111111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111-11111-1-1111-11-111-1-111-1-111-11-1
χ161111111111111111111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-111111-1-11-1-111111-1-111-1-1-1-11
χ17222222-12-12-122-1222-1-122-1-1-1-1-12-122222-1-1-1-1-122-1-1-1-122-1-1-1-120202222-1-1-1-1000000002-1-1-1-1-1-1-1-1002-1-100002200-1-100000000-100
χ18222222-12-12-122-1222-1-122-1-1-1-1-12-1222-2-2-1-1-1-1-122-1-1-1-122-1-1-1-120-20-2-222-1-111000000002-111-1-1-1-1100-2110000-2-2001100000000100
χ19222222-12-12-122-1222-1-122-1-1-1-1-12-12-2-222-1-1-1-1-122-1-1-1-122-1-1-1-1-202022-2-211-1-100000000-21-1-11111-1002-1-10000-2-2001100000000100
χ20222222-12-12-122-1222-1-122-1-1-1-1-12-12-2-2-2-2-1-1-1-1-122-1-1-1-122-1-1-1-1-20-20-2-2-2-2111100000000-21111111100-21100002200-1-100000000-100
χ21222222-12-12-122-1222-1-1-22-1-1-1-1-12-122222-1-1-1-11-2-21111-2-21111-20-202222-1-1-1-100000000-21-1-1-1-111100-21100002-200-1-100000000100
χ22222222-12-12-122-1222-1-1-22-1-1-1-1-12-1222-2-2-1-1-1-11-2-21111-2-21111-2020-2-222-1-11100000000-2111-1-111-1002-1-10000-22001100000000-100
χ23222222-12-12-122-1222-1-1-22-1-1-1-1-12-12-2-222-1-1-1-11-2-21111-2-2111120-2022-2-211-1-1000000002-1-1-111-1-1100-2110000-22001100000000-100
χ24222222-12-12-122-1222-1-1-22-1-1-1-1-12-12-2-2-2-2-1-1-1-11-2-21111-2-211112020-2-2-2-21111000000002-11111-1-1-1002-1-100002-200-1-100000000100
χ2522222-1222-122-12-12-12-12-12-1-12-1-12-12200-1-1-1-122-122-1-1-1-1-1-1-1-1220200-1-12200-1-1222200-1200-1-1-1-10-12000-1-1-1-1002000-1-10000000-10
χ2622222-1222-122-12-12-12-12-12-1-12-1-12-12200-1-1-1-122-122-1-1-1-1-1-1-1-12-20-200-1-1220011-2-2-2-200-1200-1-1-1-101-2000111100-200011000000010
χ2722222-1222-122-12-12-12-12-12-1-12-1-12-1-2-200-1-1-1-122-122-1-1-1-1-1-1-1-1-22020011-2-200-1-122-2-2001-20011110-12000-1-1-1-100-200011000000010
χ2822222-1222-122-12-12-12-12-12-1-12-1-12-1-2-200-1-1-1-122-122-1-1-1-1-1-1-1-1-2-20-20011-2-20011-2-222001-200111101-20001111002000-1-10000000-10
χ2922222-1222-122-12-12-12-1-2-12-1-12-1-12-12200-1-1-1-1-2-21-2-211111111-220-200-1-12200-1-1-2-222001-200-1-11101200011-1-100-2000-1-1000000010
χ3022222-1222-122-12-12-12-1-2-12-1-12-1-12-12200-1-1-1-1-2-21-2-211111111-2-20200-1-122001122-2-2001-200-1-1110-1-2000-1-111002000110000000-10
χ3122222-1222-122-12-12-12-1-2-12-1-12-1-12-1-2-200-1-1-1-1-2-21-2-211111111220-20011-2-200-1-1-2-2-2-200-120011-1-101200011-1-1002000110000000-10
χ3222222-1222-122-12-12-12-1-2-12-1-12-1-12-1-2-200-1-1-1-1-2-21-2-2111111112-2020011-2-20011222200-120011-1-10-1-2000-1-11100-2000-1-1000000010
χ332222-122-1222-1222-1-1-122-1-122-12-1-1-10022-1-1-1-12-12-1-122-1-1-1-1-1-10222-1-100002222-1-1002200-1-1000022-1-1-1-1-1-1-1-100020000-1-1000000-1
χ342222-122-1222-1222-1-1-122-1-122-12-1-1-10022-1-1-1-12-12-1-122-1-1-1-1-1-10-22-2-1-1000022-2-21100-2-200-1-100002-21-1-1-11111000-20000110000001
χ352222-122-1222-1222-1-1-122-1-122-12-1-1-100-2-2-1-1-1-12-12-1-122-1-1-1-1-1-102-22110000-2-222-1-100-2-200110000-22-1111-1-1-1-1000-20000110000001
χ362222-122-1222-1222-1-1-122-1-122-12-1-1-100-2-2-1-1-1-12-12-1-122-1-1-1-1-1-10-2-2-2110000-2-2-2-211002200110000-2-21111111100020000-1-1000000-1
χ372222-122-1222-1222-1-1-12-2-1-122-12-1-1-10022-1-1-1-1-21-211-2-211111102-2-2-1-1000022221100-2-200-1-10000-2-2-111111-1-10002000011000000-1
χ382222-122-1222-1222-1-1-12-2-1-122-12-1-1-10022-1-1-1-1-21-211-2-21111110-2-22-1-1000022-2-2-1-1002200-1-10000-221111-1-111000-20000-1-10000001
χ392222-122-1222-1222-1-1-12-2-1-122-12-1-1-100-2-2-1-1-1-1-21-211-2-2111111022-2110000-2-222110022001100002-2-1-1-1-111-1-1000-20000-1-10000001
χ402222-122-1222-1222-1-1-12-2-1-122-12-1-1-100-2-2-1-1-1-1-21-211-2-21111110-222110000-2-2-2-2-1-100-2-200110000221-1-1-1-1-1110002000011000000-1
χ4122-2-2222-22-2-22-2-22-22220-2-2-2-222-2-222-2002-2-2200000000000000000002-22-2000000002i−2i00002-2000000000000000000002i−2i2i−2i00000
χ4222-2-2222-22-2-22-2-22-22220-2-2-2-222-2-222-2002-2-2200000000000000000002-22-200000000−2i2i00002-200000000000000000000−2i2i−2i2i00000
χ4322-2-2222-22-2-22-2-22-22220-2-2-2-222-2-22-22002-2-220000000000000000000-22-22000000002i−2i0000-22000000000000000000002i−2i−2i2i00000
χ4422-2-2222-22-2-22-2-22-22220-2-2-2-222-2-22-22002-2-220000000000000000000-22-2200000000−2i2i0000-2200000000000000000000−2i2i2i−2i00000
χ452-22-22222-2-2-2-222-2-22220222-2-2-2-2-2-2002-222-2-2000000000000000002-200002-200002i−2i00002-2000000000000000000002i−2i00002i−2i000
χ462-22-22222-2-2-2-222-2-22220222-2-2-2-2-2-2002-222-2-2000000000000000002-200002-20000−2i2i00002-200000000000000000000−2i2i0000−2i2i000
χ472-22-22222-2-2-2-222-2-22220222-2-2-2-2-2-200-2222-2-200000000000000000-220000-2200002i−2i0000-22000000000000000000002i−2i0000−2i2i000
χ482-22-22222-2-2-2-222-2-22220222-2-2-2-2-2-200-2222-2-200000000000000000-220000-220000−2i2i0000-2200000000000000000000−2i2i00002i−2i000
χ4944444-2-24-2-2-24-2-2-24-2-214-2-211-21-2-2-244001111-24-2-2-211-2-21111400000-2-2-2-20000000000-2-2001111000000000000000000000000000
χ5044444-2-24-2-2-24-2-2-24-2-214-2-211-21-2-2-2-4-4001111-24-2-2-211-2-21111-400000222200000000002200-1-1-1-1000000000000000000000000000
χ5144444-2-24-2-2-24-2-2-24-2-21-4-2-211-21-2-2-2440011112-4222-1-122-1-1-1-1-400000-2-2-2-20000000000220011-1-1000000000000000000000000000
χ5244444-2-24-2-2-24-2-2-24-2-21-4-2-211-21-2-2-2-4-40011112-4222-1-122-1-1-1-140000022220000000000-2-200-1-111000000000000000000000000000
χ534444-24-2-2-24-2-24-24-2-21-24-21-2-21-2-21-200441111-2-2411-2-2-2-211110040-2-20000-2-20000000000110000-200-211000000000000000000000
χ544444-24-2-2-24-2-24-24-2-21-24-21-2-21-2-21-200-4-41111-2-2411-2-2-2-2111100-40220000220000000000-1-100002002-1-1000000000000000000000
χ554444-24-2-2-24-2-24-24-2-21-2-4-21-2-21-2-21-20044111122-4-1-12222-1-1-1-100-40-2-20000-2-200000000001100002002-1-1000000000000000000000
χ564444-24-2-2-24-2-24-24-2-21-2-4-21-2-21-2-21-200-4-4111122-4-1-12222-1-1-1-10040220000220000000000-1-10000-200-211000000000000000000000
χ574444-2-24-24-24-2-24-2-21-2-241-2-2-2-2-21-21000011114-2-2-2-2-2-2111111040400000000-2-2-2-20000000000000-2-2000111100000000000000000
χ584444-2-24-24-24-2-24-2-21-2-241-2-2-2-2-21-21000011114-2-2-2-2-2-21111110-40-4000000002222000000000000022000-1-1-1-100000000000000000
χ594444-2-24-24-24-2-24-2-21-2-2-41-2-2-2-2-21-2100001111-4222222-1-1-1-1-1-1040-400000000-2-22200000000000002-2000-1-11100000000000000000
χ604444-2-24-24-24-2-24-2-21-2-2-41-2-2-2-2-21-2100001111-4222222-1-1-1-1-1-10-4040000000022-2-20000000000000-2200011-1-100000000000000000
χ6144-4-444-2-4-2-424-424-44-2-20-4222-2-2-4244-400-222-200000000000000000004-4-2200000000000000-2200000000000000000000000000000
χ6244-4-444-2-4-2-424-424-44-2-20-4222-2-2-424-4400-222-20000000000000000000-442-2000000000000002-200000000000000000000000000000
χ6344-4-44-24-442-442-4-2-4-24-202-4224-22-4-24-400-222-20000000000000000000-224-400000000000000-2200000000000000000000000000000
χ6444-4-44-24-442-442-4-2-4-24-202-4224-22-4-2-4400-222-200000000000000000002-2-44000000000000002-200000000000000000000000000000
χ6544-4-44-2-2-4-222422-2-4-2-21022-1-1-2122-24-4001-1-11000003-30033-3-3000000-22-22000000000000001-13-3000000000000000000000000000
χ6644-4-44-2-2-4-222422-2-4-2-21022-1-1-2122-24-4001-1-1100000-3300-3-333000000-22-22000000000000001-1-33000000000000000000000000000
χ6744-4-44-2-2-4-222422-2-4-2-21022-1-1-2122-2-44001-1-11000003-30033-3-30000002-22-200000000000000-11-33000000000000000000000000000
χ6844-4-44-2-2-4-222422-2-4-2-21022-1-1-2122-2-44001-1-1100000-3300-3-3330000002-22-200000000000000-113-3000000000000000000000000000
χ6944-4-4-24424-4-4-2-4-442-2-24022-4-4-2422-20000-222-200000000000000000000000000000004i−4i00000000000000000000000000−2i2i0000000
χ7044-4-4-24424-4-4-2-4-442-2-24022-4-4-2422-20000-222-20000000000000000000000000000000−4i4i000000000000000000000000002i−2i0000000
χ714-44-444-242-42-44-2-4-44-2-204-2-2222-42-4004-4-2-222000000000000000004-40000-220000000000-220000000000000000000000000000000
χ724-44-444-242-42-44-2-4-44-2-204-2-2222-42-400-44-2-22200000000000000000-4400002-200000000002-20000000000000000000000000000000
χ734-44-44-244-42-4-4-242-4-24-20-24-22-422-420000-2-222000000000000000000000000000004i−4i00000000000000000000000000−2i2i000000000
χ744-44-44-244-42-4-4-242-4-24-20-24-22-422-420000-2-22200000000000000000000000000000−4i4i000000000000000000000000002i−2i000000000
χ754-44-4-244-2-4-4-4244-42-2-240-2-24-42-4222004-4-2-22200000000000000000-2200004-40000000000-220000000000000000000000000000000
χ764-44-4-244-2-4-4-4244-42-2-240-2-24-42-422200-44-2-222000000000000000002-20000-4400000000002-20000000000000000000000000000000
χ774-44-4-24-2-22-4224-2-42-21-20-21-22-122-12004-411-1-10003i−3i00003i−3i3i−3i0000-220000-2200000000001-1000000003i−3i000000000000000000000
χ784-44-4-24-2-22-4224-2-42-21-20-21-22-122-12004-411-1-1000−3i3i0000−3i3i−3i3i0000-220000-2200000000001-100000000−3i3i000000000000000000000
χ794-44-4-24-2-22-4224-2-42-21-20-21-22-122-1200-4411-1-10003i−3i00003i−3i3i−3i00002-200002-20000000000-1100000000−3i3i000000000000000000000
χ804-44-4-24-2-22-4224-2-42-21-20-21-22-122-1200-4411-1-1000−3i3i0000−3i3i−3i3i00002-200002-20000000000-11000000003i−3i000000000000000000000
χ814-4-44444-4-444-4-4-4-444440-4-4-44-4-444-400004-44-400000000000000000000000000000000000000000000000000000000000000000000
χ824-4-4444-2-424-2-4-42-444-2-20-422-2224-2-40000-22-220000000000000000000000000000000000000000000000000000000−2i32i300000000000
χ834-4-4444-2-424-2-4-42-444-2-20-422-2224-2-40000-22-2200000000000000000000000000000000000000000000000000000002i3−2i300000000000
χ844-4-444-24-4-4-24-42-424-24-202-42-2-42-2420000-22-22000000000000000000000000023−23000000000000000000000023−2300000000000000000
χ854-4-444-24-4-4-24-42-424-24-202-42-2-42-2420000-22-220000000000000000000000000−23230000000000000000000000−232300000000000000000
χ864-4-44-2442-4442-4-4-4-2-2-24022-442-4-2-220000-22-22000000000000000000000000000−2i32i3000000000000000000−2i32i30000000000000000000
χ874-4-44-2442-4442-4-4-4-2-2-24022-442-4-2-220000-22-220000000000000000000000000002i3−2i30000000000000000002i3−2i30000000000000000000
χ884-4-44-2-242-4-2422-42-21-2-20-122-2221-2-100001-11-100000003i−3i3i−3i−3i3i00000000000023−23−2i32i3000000000000000000i3−i3−3300000000000000000
χ894-4-44-2-242-4-2422-42-21-2-20-122-2221-2-100001-11-100000003i−3i3i−3i−3i3i000000000000−23232i3−2i3000000000000000000−i3i33−300000000000000000
χ904-4-44-2-242-4-2422-42-21-2-20-122-2221-2-100001-11-10000000−3i3i−3i3i3i−3i00000000000023−232i3−2i3000000000000000000−i3i3−3300000000000000000
χ914-4-44-2-242-4-2422-42-21-2-20-122-2221-2-100001-11-10000000−3i3i−3i3i3i−3i000000000000−2323−2i32i3000000000000000000i3−i33−300000000000000000
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
χ9488-8-8-48-44-4-84-4-8484-42-404-2442-44-2-400002-2-2200000000000000000000000000000000000000000000000000000000000000000000
χ9588-8-8-4-48484-8-44-8-442-4-40-2444-4-4-24200002-2-2200000000000000000000000000000000000000000000000000000000000000000000
χ9688-8-8-4-4-44-444-444-442220-2-2-2-222-2-220000-111-1000006-600-3-3330000000000000000000000000000000000000000000000000000000
χ9788-8-8-4-4-44-444-444-442220-2-2-2-222-2-220000-111-100000-660033-3-30000000000000000000000000000000000000000000000000000000
χ988-88-88-4-48444-8-4-44-8-4-420-4-42-24-2444000022-2-200000000000000000000000000000000000000000000000000000000000000000000
χ998-88-8-4-48-4-84-84-48442-4-402-4-4444-24-2000022-2-200000000000000000000000000000000000000000000000000000000000000000000
χ1008-88-8-4-4-4-44444-4-4442220222-2-2-2-2-2-20000-1-1110006i−6i0000−3i3i−3i3i0000000000000000000000000000000000000000000000000000000
χ1018-88-8-4-4-4-44444-4-4442220222-2-2-2-2-2-20000-1-111000−6i6i00003i−3i3i−3i0000000000000000000000000000000000000000000000000000000
χ1028-8-888-4-4-84-4-4-84448-4-42044-224-2-4-4400002-22-200000000000000000000000000000000000000000000000000000000000000000000
χ1038-8-88-48-4448-44-84-8-4-42-404-24-4-24-42400002-22-200000000000000000000000000000000000000000000000000000000000000000000
χ1048-8-88-4-4-444-4-44444-42220-2-2-22-2-222-20000-11-1100000006i−6i−3i3i3i−3i0000000000000000000000000000000000000000000000000000000
χ1058-8-88-4-4-444-4-44444-42220-2-2-22-2-222-20000-11-110000000−6i6i3i−3i−3i3i0000000000000000000000000000000000000000000000000000000

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