Finite Group Databasebeta

← Group #13168468

Character table — Group #13168468

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size1111222222222222444444444444466668888888888888888812121212121212121212121212121212181818182424242424242424242424242424242424243636363636363636363654545454727272
order122233366666666633346666666662244366612121212121212121212121212244466661212121212121212444466666612121212121212121212121244441212121212124444121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111-1-111111-1-11111-1-1-1-1-1-11111111-1-1111-1-111-1-111-1-111-1-1-1-1-1-1-1-11-1-1
χ31111111111111111111111111111111-1-111111111111111111111-1111111-1-1-1-11111-1-1111111-111-1-1-111-1-111-1-11-1-1-111-1-1-1-1-1-1-11-1
χ41111111111111111111111111111111-1-1111111111111111111-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-11
χ511111111111111111111111111111-1-11111111111111111111-1111-1-1-1-111111111-1-111-1-1-1-1-1-1111111111111-1-1-11-1-1-1-111-1-1-1-1-1-11
χ611111111111111111111111111111-1-11111111111111111111-1-1-11-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-11-1-1111-1-111-1-1-1-11-1-1-111-1-11111-11-1
χ711111111111111111111111111111-1-1-1-111111111111111111-111-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-11111-1-111-1-1-1-111111-1-1
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
χ91111111111111111111-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-111111111-1-1-1-111-1-1-1-11-1-1-1-1-111111-1-111111-1-1-1-111-1-11
χ101111111111111111111-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111111111-1-1-1-111-1-111-1-1-11-1-1-1-11111-1-11-11-111-1-11111-1-1-11-1
χ111111111111111111111-111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111-1-1-1-1-1-1111111-1-111-1-11-11111-1-1-1-111-11-1-1-1-1111111-1-11-1-1
χ121111111111111111111-111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-111111-1-1-1-1-1111-1-1-1-1-1-1-1-111111
χ131111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-11-1-1-1-1-11111-1111-1-1-1-1-1-111-1-1111
χ141111111111111111111-1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1111111-1-1111111-1-111-11-1-1-1-11111-1-1-11-1-1-1-11111-1-1111-1-1
χ151111111111111111111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1-1-1-1-1-1-1-1-1-111-1-11111-1-1111-11111-1-1-1-1111-11-111-1-111-1-111-11-1
χ161111111111111111111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-1-111-1-1-1-1-1-111-1-111-1-11111-111111-1-1-1-11-1-111111-1-111-1-1-1-11
χ17222222-122-122-12-122-1-122-1-1-1-12-12-12200-1-1-1-122-1-1-122-1-1-1-1-1-1222022-1-1220000-1-122002-1-1-1-1-10-12000-1-100-1-1002000-1-10000000-10
χ18222222-122-122-12-122-1-122-1-1-1-12-12-12200-1-1-1-122-1-1-122-1-1-1-1-1-12-2-2022-1-1-2-2000011-2-2002-1-1-1-1-101-200011001100-200011000000010
χ19222222-122-122-12-122-1-122-1-1-1-12-12-1-2-200-1-1-1-122-1-1-122-1-1-1-1-1-1-2220-2-211220000-1-1-2-200-2111110-12000-1-100-1-100-200011000000010
χ20222222-122-122-12-122-1-122-1-1-1-12-12-1-2-200-1-1-1-122-1-1-122-1-1-1-1-1-1-2-2-20-2-211-2-20000112200-21111101-2000110011002000-1-10000000-10
χ21222222-122-122-12-122-1-1-22-1-1-1-12-12-12200-1-1-1-1-2-2111-2-2111111-22-2022-1-1-2-20000-1-12200-21-1-1110120001100-1-100-2000-1-1000000010
χ22222222-122-122-12-122-1-1-22-1-1-1-12-12-12200-1-1-1-1-2-2111-2-2111111-2-22022-1-122000011-2-200-21-1-1110-1-2000-1-10011002000110000000-10
χ23222222-122-122-12-122-1-1-22-1-1-1-12-12-1-2-200-1-1-1-1-2-2111-2-211111122-20-2-211-2-20000-1-1-2-2002-111-1-10120001100-1-1002000110000000-10
χ24222222-122-122-12-122-1-1-22-1-1-1-12-12-1-2-200-1-1-1-1-2-2111-2-21111112-220-2-2112200001122002-111-1-10-1-2000-1-1001100-2000-1-1000000010
χ2522222-122-122-12-122-12-12-12-1-1-1-12-122222-1-1-1-12-12-1-1-1-122-1-1-1-12002-1-1220022-1-1000000-12-1-1-1-1-1002-1-100-1-1002200-1-100000000-100
χ2622222-122-122-12-122-12-12-12-1-1-1-12-1222-2-2-1-1-1-12-12-1-1-1-122-1-1-1-1200-2-1-12200-2-211000000-12-1-1-1-1100-211001100-2-2001100000000100
χ2722222-122-122-12-122-12-12-12-1-1-1-12-12-2-222-1-1-1-12-12-1-1-1-122-1-1-1-1-200211-2-20022-1-10000001-21111-1002-1-100-1-100-2-2001100000000100
χ2822222-122-122-12-122-12-12-12-1-1-1-12-12-2-2-2-2-1-1-1-12-12-1-1-1-122-1-1-1-1-200-211-2-200-2-2110000001-21111100-2110011002200-1-100000000-100
χ2922222-122-122-12-122-12-1-2-12-1-1-1-12-122222-1-1-1-1-21-21111-2-21111-200-2-1-1220022-1-10000001-2-1-111100-21100-1-1002-200-1-100000000100
χ3022222-122-122-12-122-12-1-2-12-1-1-1-12-1222-2-2-1-1-1-1-21-21111-2-21111-2002-1-12200-2-2110000001-2-1-111-1002-1-1001100-22001100000000-100
χ3122222-122-122-12-122-12-1-2-12-1-1-1-12-12-2-222-1-1-1-1-21-21111-2-21111200-211-2-20022-1-1000000-1211-1-1100-21100-1-100-22001100000000-100
χ3222222-122-122-12-122-12-1-2-12-1-1-1-12-12-2-2-2-2-1-1-1-1-21-21111-2-21111200211-2-200-2-211000000-1211-1-1-1002-1-10011002-200-1-100000000100
χ332222-122-122-12222-1-1-122-1-1222-1-1-1-10022-1-1-1-1-12222-1-1-1-1-1-1-1-102220000-1-1-1-12222002200000022-1-1-1-1-1-1-1-1-1-100020000-1-1000000-1
χ342222-122-122-12222-1-1-122-1-1222-1-1-1-10022-1-1-1-1-12222-1-1-1-1-1-1-1-10-2-22000011-1-122-2-200-2-20000002-21-1-1-111-1-111000-20000110000001
χ352222-122-122-12222-1-1-122-1-1222-1-1-1-100-2-2-1-1-1-1-12222-1-1-1-1-1-1-1-1022-20000-1-111-2-22200-2-2000000-22-1111-1-111-1-1000-20000110000001
χ362222-122-122-12222-1-1-122-1-1222-1-1-1-100-2-2-1-1-1-1-12222-1-1-1-1-1-1-1-10-2-2-200001111-2-2-2-20022000000-2-2111111111100020000-1-1000000-1
χ372222-122-122-12222-1-1-12-2-1-1222-1-1-1-10022-1-1-1-11-2-2-2-21111111102-2-2000011-1-1222200-2-2000000-2-2-111111-1-1-1-10002000011000000-1
χ382222-122-122-12222-1-1-12-2-1-1222-1-1-1-10022-1-1-1-11-2-2-2-2111111110-22-20000-1-1-1-122-2-20022000000-221111-1-1-1-111000-20000-1-10000001
χ392222-122-122-12222-1-1-12-2-1-1222-1-1-1-100-2-2-1-1-1-11-2-2-2-21111111102-2200001111-2-22200220000002-2-1-1-1-11111-1-1000-20000-1-10000001
χ402222-122-122-12222-1-1-12-2-1-1222-1-1-1-100-2-2-1-1-1-11-2-2-2-2111111110-2220000-1-111-2-2-2-200-2-2000000221-1-1-1-1-111110002000011000000-1
χ4122-2-2222-2-2-22-2-222-22220-2-2-2-22-2-2222-2002-2-22000000000000000002-22-200000000002i−2i002-200000000000000000000002i−2i2i−2i00000
χ4222-2-2222-2-2-22-2-222-22220-2-2-2-22-2-2222-2002-2-22000000000000000002-22-20000000000−2i2i002-20000000000000000000000−2i2i−2i2i00000
χ4322-2-2222-2-2-22-2-222-22220-2-2-2-22-2-222-22002-2-2200000000000000000-22-2200000000002i−2i00-2200000000000000000000002i−2i−2i2i00000
χ4422-2-2222-2-2-22-2-222-22220-2-2-2-22-2-222-22002-2-2200000000000000000-22-220000000000−2i2i00-220000000000000000000000−2i2i2i−2i00000
χ452-2-22222-22-2-2-22-2-222220-222-2-22-2-2-2002i−2i22-2-2000000000000000000000002i−2i2i−2i002i−2i00000000000000002i−2i000000002i−2i00002-2000
χ462-2-22222-22-2-2-22-2-222220-222-2-22-2-2-2002i−2i22-2-2000000000000000000000002i−2i2i−2i00−2i2i00000000000000002i−2i00000000−2i2i0000-22000
χ472-2-22222-22-2-2-22-2-222220-222-2-22-2-2-200−2i2i22-2-200000000000000000000000−2i2i−2i2i002i−2i0000000000000000−2i2i000000002i−2i0000-22000
χ482-2-22222-22-2-2-22-2-222220-222-2-22-2-2-200−2i2i22-2-200000000000000000000000−2i2i−2i2i00−2i2i0000000000000000−2i2i00000000−2i2i00002-2000
χ4944444-2-24-2-24-2-2-2-24-2-214-2-2111-2-2-2-2440011114-2-211-2-2-2-211114000-2-2-2-2000000000000-2-2111100000000000000000000000000000
χ5044444-2-24-2-24-2-2-2-24-2-214-2-2111-2-2-2-2-4-40011114-2-211-2-2-2-21111-4000222200000000000022-1-1-1-100000000000000000000000000000
χ5144444-2-24-2-24-2-2-2-24-2-21-4-2-2111-2-2-2-244001111-422-1-12222-1-1-1-1-4000-2-2-2-20000000000002211-1-100000000000000000000000000000
χ5244444-2-24-2-24-2-2-2-24-2-21-4-2-2111-2-2-2-2-4-4001111-422-1-12222-1-1-1-140002222000000000000-2-2-1-11100000000000000000000000000000
χ534444-24-2-24-2-24-24-2-2-21-24-21-2-2-2-21-2100001111-24-2-2-2-2-211111104400000-2-20000-2-200000000000-2-200011001100000000000000000
χ544444-24-2-24-2-24-24-2-2-21-24-21-2-2-2-21-2100001111-24-2-2-2-2-21111110-4-400000220000220000000000022000-1-100-1-100000000000000000
χ554444-24-2-24-2-24-24-2-2-21-2-4-21-2-2-2-21-21000011112-422222-1-1-1-1-1-104-400000220000-2-2000000000002-2000-1-1001100000000000000000
χ564444-24-2-24-2-24-24-2-2-21-2-4-21-2-2-2-21-21000011112-422222-1-1-1-1-1-10-4400000-2-200002200000000000-220001100-1-100000000000000000
χ574444-2-24-2-24-2-24-24-21-2-241-2-2-2-21-21-200441111-2-24-2-211-2-211110004000000-2-2-2-2000000000000-200-21100110000000000000000000
χ584444-2-24-2-24-2-24-24-21-2-241-2-2-2-21-21-200-4-41111-2-24-2-211-2-21111000-400000022220000000000002002-1-100-1-10000000000000000000
χ594444-2-24-2-24-2-24-24-21-2-2-41-2-2-2-21-21-20044111122-422-1-122-1-1-1-1000-4000000-2-2-2-20000000000002002-1-100110000000000000000000
χ604444-2-24-2-24-2-24-24-21-2-2-41-2-2-2-21-21-200-4-4111122-422-1-122-1-1-1-100040000002222000000000000-200-21100-1-10000000000000000000
χ6144-4-444-2-4-424-424-2-44-2-20-4222-2-424-24-400-222-2000000000000000004-4-2200000000000000-220000000000000000000000000000000
χ6244-4-444-2-4-424-424-2-44-2-20-4222-2-424-2-4400-222-200000000000000000-442-2000000000000002-20000000000000000000000000000000
χ6344-4-44-24-42-442-4-24-4-24-202-422-22-4-244-400-222-200000000000000000-224-400000000000000-220000000000000000000000000000000
χ6444-4-44-24-42-442-4-24-4-24-202-422-22-4-24-4400-222-2000000000000000002-2-44000000000000002-20000000000000000000000000000000
χ6544-4-44-2-2-422422-2-2-4-2-21022-1-1122-2-24-4001-1-110003-3000033-3-30000-22-22000000000000001-13-300000000000000000000000000000
χ6644-4-44-2-2-422422-2-2-4-2-21022-1-1122-2-24-4001-1-11000-330000-3-3330000-22-22000000000000001-1-3300000000000000000000000000000
χ6744-4-44-2-2-422422-2-2-4-2-21022-1-1122-2-2-44001-1-110003-3000033-3-300002-22-200000000000000-11-3300000000000000000000000000000
χ6844-4-44-2-2-422422-2-2-4-2-21022-1-1122-2-2-44001-1-11000-330000-3-33300002-22-200000000000000-113-300000000000000000000000000000
χ6944-4-4-2442-4-4-2-4-4442-2-24022-4-4422-2-20000-222-200000000000000000000000000000004i−4i00000000000000000000000000−2i2i0000000
χ7044-4-4-2442-4-4-2-4-4442-2-24022-4-4422-2-20000-222-20000000000000000000000000000000−4i4i000000000000000000000000002i−2i0000000
χ714-44-44444-44-44-4-4-4-444404-4-44-4-44-4-400004-44-400000000000000000000000000000000000000000000000000000000000000000000
χ724-44-444-24-4-2-442-42-44-2-20422-22-4-2-420000-22-2200000000000000000000000000023−230000000000000000000023−2300000000000000000
χ734-44-444-24-4-2-442-42-44-2-20422-22-4-2-420000-22-22000000000000000000000000000−232300000000000000000000−232300000000000000000
χ744-44-44-24424-4-2-42-4-4-24-20-2-42-22242-40000-22-22000000000000000000000000000000000000000000000000000000023−2300000000000
χ754-44-44-24424-4-2-42-4-4-24-20-2-42-22242-40000-22-220000000000000000000000000000000000000000000000000000000−232300000000000
χ764-44-4-244-2-4424-4-4-42-2-240-22-44-42-2220000-22-22000000000000000000000−2i32i30000000000000000000000−2i32i3000000000000000000000
χ774-44-4-244-2-4424-4-4-42-2-240-22-44-42-2220000-22-220000000000000000000002i3−2i300000000000000000000002i3−2i3000000000000000000000
χ784-44-4-24-2-2-4-2242-422-21-20-2-12-22212-100001-11-100000003i−3i3i−3i3i−3i00000000−2i32i3000023−230000000000000000i3−i300−3300000000000000000
χ794-44-4-24-2-2-4-2242-422-21-20-2-12-22212-100001-11-100000003i−3i3i−3i3i−3i000000002i3−2i30000−23230000000000000000−i3i3003−300000000000000000
χ804-44-4-24-2-2-4-2242-422-21-20-2-12-22212-100001-11-10000000−3i3i−3i3i−3i3i00000000−2i32i30000−23230000000000000000i3−i3003−300000000000000000
χ814-44-4-24-2-2-4-2242-422-21-20-2-12-22212-100001-11-10000000−3i3i−3i3i−3i3i000000002i3−2i3000023−230000000000000000−i3i300−3300000000000000000
χ824-4-4444-2-442-4-4-2-4244-2-20-4-2-22242-420000-2-222000000000000000000000000000004i−4i00000000000000000000000000−2i2i000000000
χ834-4-4444-2-442-4-4-2-4244-2-20-4-2-22242-420000-2-22200000000000000000000000000000−4i4i000000000000000000000000002i−2i000000000
χ844-4-444-24-4-2-4-4242-44-24-2024-222-2-42-4004i−4i-2-222000000000000000000000004i−4i−2i2i00000000000000000000−2i2i0000000000000000000
χ854-4-444-24-4-2-4-4242-44-24-2024-222-2-42-400−4i4i-2-22200000000000000000000000−4i4i2i−2i000000000000000000002i−2i0000000000000000000
χ864-4-44-24424-42-44-4-4-2-2-2402-24-4-4-2222004i−4i-2-22200000000000000000000000−2i2i4i−4i00000000000000000000−2i2i0000000000000000000
χ874-4-44-24424-42-44-4-4-2-2-2402-24-4-4-222200−4i4i-2-222000000000000000000000002i−2i−4i4i000000000000000000002i−2i0000000000000000000
χ884-4-44-2-242-2-42242-4-21-2-20-1-2-22212-12004i−4i11-1-1000003i−3i003i−3i−3i3i0000000000−2i2i−2i2i00000000000000003-300i−i0000000000000000000
χ894-4-44-2-242-2-42242-4-21-2-20-1-2-22212-12004i−4i11-1-100000−3i3i00−3i3i3i−3i0000000000−2i2i−2i2i0000000000000000-3300i−i0000000000000000000
χ904-4-44-2-242-2-42242-4-21-2-20-1-2-22212-1200−4i4i11-1-1000003i−3i003i−3i−3i3i00000000002i−2i2i−2i0000000000000000-3300−ii0000000000000000000
χ914-4-44-2-242-2-42242-4-21-2-20-1-2-22212-1200−4i4i11-1-100000−3i3i00−3i3i3i−3i00000000002i−2i2i−2i00000000000000003-300−ii0000000000000000000
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
χ9488-8-8-48-44-84-4-848-44-42-404-244-44-2-4200002-2-2200000000000000000000000000000000000000000000000000000000000000000000
χ9588-8-8-4-4844-8-44-8-4842-4-40-2444-4-242-400002-2-2200000000000000000000000000000000000000000000000000000000000000000000
χ9688-8-8-4-4-4444-444-4-442220-2-2-2-22-2-2220000-111-10006-60000-3-3330000000000000000000000000000000000000000000000000000000
χ9788-8-8-4-4-4444-444-4-442220-2-2-2-22-2-2220000-111-1000-66000033-3-30000000000000000000000000000000000000000000000000000000
χ988-88-88-4-484-4-8-4444-8-4-420-44-22-24-44400002-22-200000000000000000000000000000000000000000000000000000000000000000000
χ998-88-8-4-48-4484-4-84-842-4-40244-44-2-4-2400002-22-200000000000000000000000000000000000000000000000000000000000000000000
χ1008-88-8-4-4-4-44-44-4444422202-2-22-2-22-2-20000-11-1100000006i−6i−3i3i−3i3i0000000000000000000000000000000000000000000000000000000
χ1018-88-8-4-4-4-44-44-4444422202-2-22-2-22-2-20000-11-110000000−6i6i3i−3i3i−3i0000000000000000000000000000000000000000000000000000000
χ1028-8-888-4-4-8-44-84-4448-4-4204-42-2-2-4444000022-2-200000000000000000000000000000000000000000000000000000000000000000000
χ1038-8-88-48-44844-8-4-84-4-42-4042-444-4-24-2000022-2-200000000000000000000000000000000000000000000000000000000000000000000
χ1048-8-88-4-4-44-4444-444-42220-222-2-22-2-2-20000-1-111000006i−6i00−3i3i3i−3i0000000000000000000000000000000000000000000000000000000
χ1058-8-88-4-4-44-4444-444-42220-222-2-22-2-2-20000-1-11100000−6i6i003i−3i−3i3i0000000000000000000000000000000000000000000000000000000

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