Finite Group Databasebeta

← Group #13168073

Character table — Group #13168073

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222222444444444444466888888888888888881212121212121212121212121212121212181824242424242424242424242424242424242436363636363636363636365454727272108
order1222333666666666333466666666622366612121212121212121212121212224446666666612121212446666666612121212121212121212244446612121212441212122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111-1-111111111-1-1-1-1-1-1111111111-1-1111-1-1-1-111-1-1-111-1-1-1-1-1-11-1-1-1
χ3111111111111111111111111111111111111111111111111-1-111111-1-111-1-11111-1-1-1-111-1-1-1-11111111111-1-1-111-1-1-1-111-1-1-1-11-1
χ4111111111111111111111111111111111111111111111111-1-11-1-111-1-111-1-1-1-1-1-111-1-111-1-1-1-11-1-1111-1-1-1-1-1-11-1-1-1-111-1-111-11-11
χ511111111111111111111111111111-1-11111111111111111111-111-1-111-1-11111111111-1-11111-111-1-1-11111-1-11-1-1-1-111-1-1-1-1-11-1-1
χ611111111111111111111111111111-1-11111111111111111111-1-1-1-1-111-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111
χ711111111111111111111111111111-1-111111111111111111-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1-1111111-1-1-111-1-1-1-1111-1-11
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
χ91111111111111111111-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1111111-1-1-1-111-1-1-111111-1-1-11-1-1-1-111-1-1-1111-1-1-1-1-111-1-111-11
χ101111111111111111111-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11111111-1-111-1-111-111111-1-1-1-11-1-1-1-1-111-11-1-11-1-111-1-1111-11-1
χ111111111111111111111-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-11111-1-111111-111-1-111-11-1-1-1-111-1-11-1-11-111111111-1-1-1-1
χ121111111111111111111-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-1111111-1-1-1-11-111-1-111-1-11-1-1-1-1-1111-11-1111-1-1-1-1-1-1-1111
χ131111111111111111111-1111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-111-1-1-1-1-1-111-1-1-11-1-111-1-111-111111-1-11-11-1111-1-1-1-111-111-1
χ141111111111111111111-1111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-1-111-1-1-1-111-1-111-11-1-111-1-11-11111-1-1111-1-11-1111111-1-1-1-1-11
χ151111111111111111111-1111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-111-1-111111-1-1-1-1-11111-111111-1-1-11-1-11-1-111-1-1-1-11-111
χ161111111111111111111-1111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1-1-1-1-1-11111-1-1-1-11-1-1-1-1-1111-11111-1-111-1111-1-1-1-1-1111111-1-1
χ17222222-12-12-122-1222-1-122-1-1-1-1-12-1222-1-1-1-1-122-1-1-1-122-1-1-1-1222002222-1-1-1-10000002-1-1-1-1-1-1-1-1002-1-1000022000-1-1000000-1000
χ18222222-12-12-122-1222-1-122-1-1-1-1-12-1222-1-1-1-1-122-1-1-1-122-1-1-1-1-2-220022-2-2-1-111000000-21-1-11111-1002-1-10000-2-2000110000001000
χ19222222-12-12-122-1222-1-122-1-1-1-1-12-12-2-2-1-1-1-1-122-1-1-1-122-1-1-1-122-200-2-22211-1-10000002-111-1-1-1-1100-2110000-2-2000110000001000
χ20222222-12-12-122-1222-1-122-1-1-1-1-12-12-2-2-1-1-1-1-122-1-1-1-122-1-1-1-1-2-2-200-2-2-2-21111000000-21111111100-211000022000-1-1000000-1000
χ21222222-12-12-122-1222-1-1-22-1-1-1-1-12-1222-1-1-1-11-2-21111-2-211112-2-2002222-1-111000000-2-1-1-1-1-111100-2110000-2200011000000-1000
χ22222222-12-12-122-1222-1-1-22-1-1-1-1-12-1222-1-1-1-11-2-21111-2-21111-22-20022-2-2-1-1-1-100000021-1-111-1-1100-21100002-2000-1-10000001000
χ23222222-12-12-122-1222-1-1-22-1-1-1-1-12-12-2-2-1-1-1-11-2-21111-2-211112-2200-2-2221111000000-2-111-1-111-1002-1-100002-2000-1-10000001000
χ24222222-12-12-122-1222-1-1-22-1-1-1-1-12-12-2-2-1-1-1-11-2-21111-2-21111-22200-2-2-2-211-1-1000000211111-1-1-1002-1-10000-2200011000000-1000
χ2522222-1222-122-12-12-12-12-12-1-12-1-12-100-1-1-1-122-122-1-1-1-1-1-1-1-12202200-1-10022-1-12222-1200-1-1-1-10-12000-1-1-1-10020000-1-100000-100
χ2622222-1222-122-12-12-12-12-12-1-12-1-12-100-1-1-1-122-122-1-1-1-1-1-1-1-1220-2-200-1-1002211-2-2-2-2-1200-1-1-1-101-2000111100-200001100000100
χ2722222-1222-122-12-12-12-12-12-1-12-1-12-100-1-1-1-122-122-1-1-1-1-1-1-1-1-2-2022001100-2-2-1-122-2-21-20011110-12000-1-1-1-100-200001100000100
χ2822222-1222-122-12-12-12-12-12-1-12-1-12-100-1-1-1-122-122-1-1-1-1-1-1-1-1-2-20-2-2001100-2-211-2-2221-200111101-200011110020000-1-100000-100
χ2922222-1222-122-12-12-12-1-2-12-1-12-1-12-100-1-1-1-1-2-21-2-2111111112-202-200-1-100-2-21122-2-21200-1-1110-1-2000-1-11100200001100000-100
χ3022222-1222-122-12-12-12-1-2-12-1-12-1-12-100-1-1-1-1-2-21-2-2111111112-20-2200-1-100-2-2-1-1-2-2221200-1-11101200011-1-100-20000-1-100000100
χ3122222-1222-122-12-12-12-1-2-12-1-12-1-12-100-1-1-1-1-2-21-2-211111111-2202-200110022112222-1-20011-1-10-1-2000-1-11100-20000-1-100000100
χ3222222-1222-122-12-12-12-1-2-12-1-12-1-12-100-1-1-1-1-2-21-2-211111111-220-2200110022-1-1-2-2-2-2-1-20011-1-101200011-1-100200001100000-100
χ332222-122-1222-1222-1-1-122-1-122-12-1-1-122-1-1-1-12-12-1-122-1-1-1-1-1-100222-1-100220022-1-10000-1-1000022-1-1-1-1-1-1-1-1000220000-1-10000-10
χ342222-122-1222-1222-1-1-122-1-122-12-1-1-122-1-1-1-12-12-1-122-1-1-1-1-1-1002-2-2-1-1002200-2-2110000-1-100002-21-1-1-11111000-2-2000011000010
χ352222-122-1222-1222-1-1-122-1-122-12-1-1-1-2-2-1-1-1-12-12-1-122-1-1-1-1-1-100-2221100-2-20022-1-10000110000-22-1111-1-1-1-1000-2-2000011000010
χ362222-122-1222-1222-1-1-122-1-122-12-1-1-1-2-2-1-1-1-12-12-1-122-1-1-1-1-1-100-2-2-21100-2-200-2-2110000110000-2-211111111000220000-1-10000-10
χ372222-122-1222-1222-1-1-12-2-1-122-12-1-1-122-1-1-1-1-21-211-2-211111100-22-2-1-1002200-2-2-1-10000-1-10000-221111-1-1110002-20000-1-1000010
χ382222-122-1222-1222-1-1-12-2-1-122-12-1-1-122-1-1-1-1-21-211-2-211111100-2-22-1-100220022110000-1-10000-2-2-111111-1-1000-220000110000-10
χ392222-122-1222-1222-1-1-12-2-1-122-12-1-1-1-2-2-1-1-1-1-21-211-2-21111110022-21100-2-200-2-2-1-10000110000221-1-1-1-1-111000-220000110000-10
χ402222-122-1222-1222-1-1-12-2-1-122-12-1-1-1-2-2-1-1-1-1-21-211-2-2111111002-221100-2-200221100001100002-2-1-1-1-111-1-10002-20000-1-1000010
χ4122-2-22222-2-2-2-222-2-22220222-2-2-2-2-2-22-222-2-20000000000000000002-2002-20000002i−2i002-20000000000000000000002i−2i002i−2i0000
χ4222-2-22222-2-2-2-222-2-22220222-2-2-2-2-2-22-222-2-20000000000000000002-2002-2000000−2i2i002-2000000000000000000000−2i2i00−2i2i0000
χ4322-2-22222-2-2-2-222-2-22220222-2-2-2-2-2-2-2222-2-2000000000000000000-2200-220000002i−2i00-220000000000000000000002i−2i00−2i2i0000
χ4422-2-22222-2-2-2-222-2-22220222-2-2-2-2-2-2-2222-2-2000000000000000000-2200-22000000−2i2i00-22000000000000000000000−2i2i002i−2i0000
χ4544444-2-24-2-2-24-2-2-24-2-214-2-211-21-2-2-2001111-24-2-2-211-2-211114400000-2-200-2-2000000-2-2001111000000000000000000000000000
χ4644444-2-24-2-2-24-2-2-24-2-214-2-211-21-2-2-2001111-24-2-2-211-2-21111-4-4000002200220000002200-1-1-1-1000000000000000000000000000
χ4744444-2-24-2-2-24-2-2-24-2-21-4-2-211-21-2-2-20011112-4222-1-122-1-1-1-14-400000-2-200220000002-20011-1-1000000000000000000000000000
χ4844444-2-24-2-2-24-2-2-24-2-21-4-2-211-21-2-2-20011112-4222-1-122-1-1-1-1-44000002200-2-2000000-2200-1-111000000000000000000000000000
χ494444-24-2-2-24-2-24-24-2-21-24-21-2-21-2-21-2441111-2-2411-2-2-2-2111100400-2-200-2-20000000000110000-200-211000000000000000000000
χ504444-24-2-2-24-2-24-24-2-21-24-21-2-21-2-21-2-4-41111-2-2411-2-2-2-2111100-4002200220000000000-1-100002002-1-1000000000000000000000
χ514444-24-2-2-24-2-24-24-2-21-2-4-21-2-21-2-21-244111122-4-1-12222-1-1-1-100-400-2-200-2-200000000001100002002-1-1000000000000000000000
χ524444-24-2-2-24-2-24-24-2-21-2-4-21-2-21-2-21-2-4-4111122-4-1-12222-1-1-1-1004002200220000000000-1-10000-200-211000000000000000000000
χ534444-2-24-24-24-2-24-2-21-2-241-2-2-2-2-21-210011114-2-2-2-2-2-21111110004400000000-2-2-2-200000000000-2-2000111100000000000000000
χ544444-2-24-24-24-2-24-2-21-2-241-2-2-2-2-21-210011114-2-2-2-2-2-2111111000-4-40000000022220000000000022000-1-1-1-100000000000000000
χ554444-2-24-24-24-2-24-2-21-2-2-41-2-2-2-2-21-21001111-4222222-1-1-1-1-1-10004-40000000022-2-200000000000-2200011-1-100000000000000000
χ564444-2-24-24-24-2-24-2-21-2-2-41-2-2-2-2-21-21001111-4222222-1-1-1-1-1-1000-4400000000-2-222000000000002-2000-1-11100000000000000000
χ5744-4-444-242-42-44-2-4-44-2-204-2-2222-42-44-4-2-2220000000000000000004-400-220000000000-220000000000000000000000000000000
χ5844-4-444-242-42-44-2-4-44-2-204-2-2222-42-4-44-2-222000000000000000000-44002-200000000002-20000000000000000000000000000000
χ5944-4-44-244-42-4-4-242-4-24-20-24-22-422-4200-2-2220000000000000000000000000000004i−4i0000000000000000000000000−2i2i00000000
χ6044-4-44-244-42-4-4-242-4-24-20-24-22-422-4200-2-222000000000000000000000000000000−4i4i00000000000000000000000002i−2i00000000
χ6144-4-4-244-2-4-4-4244-42-2-240-2-24-42-42224-4-2-222000000000000000000-22004-40000000000-220000000000000000000000000000000
χ6244-4-4-244-2-4-4-4244-42-2-240-2-24-42-4222-44-2-2220000000000000000002-200-4400000000002-20000000000000000000000000000000
χ6344-4-4-24-2-22-4224-2-42-21-20-21-22-122-124-411-1-10003i−3i00003i3i−3i−3i00000-2200-2200000000001-1000000003i−3i000000000000000000000
χ6444-4-4-24-2-22-4224-2-42-21-20-21-22-122-124-411-1-1000−3i3i0000−3i−3i3i3i00000-2200-2200000000001-100000000−3i3i000000000000000000000
χ6544-4-4-24-2-22-4224-2-42-21-20-21-22-122-12-4411-1-10003i−3i00003i3i−3i−3i000002-2002-20000000000-1100000000−3i3i000000000000000000000
χ6644-4-4-24-2-22-4224-2-42-21-20-21-22-122-12-4411-1-1000−3i3i0000−3i−3i3i3i000002-2002-20000000000-11000000003i−3i000000000000000000000
χ674-44-4444-4-444-4-4-4-444440-4-4-44-4-444-4004-44-40000000000000000000000000000000000000000000000000000000000000000000
χ684-44-444-2-424-2-4-42-444-2-20-422-2224-2-400-22-220000000000000000000000000000000000000000000000000000000−2i32i30000000000
χ694-44-444-2-424-2-4-42-444-2-20-422-2224-2-400-22-2200000000000000000000000000000000000000000000000000000002i3−2i30000000000
χ704-44-44-24-4-4-24-42-424-24-202-42-2-42-24200-22-220000000000000000000000000023−230000000000000000000023−2300000000000000000
χ714-44-44-24-4-4-24-42-424-24-202-42-2-42-24200-22-2200000000000000000000000000−232300000000000000000000−232300000000000000000
χ724-44-4-2442-4442-4-4-4-2-2-24022-442-4-2-2200-22-220000000000000000000000000000−2i32i30000000000000000−2i32i30000000000000000000
χ734-44-4-2442-4442-4-4-4-2-2-24022-442-4-2-2200-22-2200000000000000000000000000002i3−2i300000000000000002i3−2i30000000000000000000
χ744-44-4-2-242-4-2422-42-21-2-20-122-2221-2-1001-11-100000003i−3i3i−3i3i−3i000000000000023−23−2i32i30000000000000000i3−i3−3300000000000000000
χ754-44-4-2-242-4-2422-42-21-2-20-122-2221-2-1001-11-100000003i−3i3i−3i3i−3i0000000000000−23232i3−2i30000000000000000−i3i33−300000000000000000
χ764-44-4-2-242-4-2422-42-21-2-20-122-2221-2-1001-11-10000000−3i3i−3i3i−3i3i000000000000023−232i3−2i30000000000000000−i3i3−3300000000000000000
χ774-44-4-2-242-4-2422-42-21-2-20-122-2221-2-1001-11-10000000−3i3i−3i3i−3i3i0000000000000−2323−2i32i30000000000000000i3−i33−300000000000000000
χ784-4-44444-44-4-44-4-44-44440-4-4-4-444-4-44004-4-440000000000000000000000000000000000000000000000000000000000000000000
χ794-4-4444-2-4-2-424-424-44-2-20-4222-2-2-42400-222-2000000000000000000000000−2i32i3000000000000−2i32i3000000000000000000000000000
χ804-4-4444-2-4-2-424-424-44-2-20-4222-2-2-42400-222-20000000000000000000000002i3−2i30000000000002i3−2i3000000000000000000000000000
χ814-4-444-24-442-442-4-2-4-24-202-4224-22-4-200-222-200000000000000000000−2i32i300000000000000−2i32i300000000000000000000000000000
χ824-4-444-24-442-442-4-2-4-24-202-4224-22-4-200-222-2000000000000000000002i3−2i3000000000000002i3−2i300000000000000000000000000000
χ834-4-444-2-2-4-222422-2-4-2-21022-1-1-2122-2001-1-11000003-3003-3-330000000−2i32i300−2i32i30000000000i3−i3i3−i3000000000000000000000000000
χ844-4-444-2-2-4-222422-2-4-2-21022-1-1-2122-2001-1-11000003-3003-3-3300000002i3−2i3002i3−2i30000000000−i3i3−i3i3000000000000000000000000000
χ854-4-444-2-2-4-222422-2-4-2-21022-1-1-2122-2001-1-1100000-3300-333-30000000−2i32i3002i3−2i30000000000i3−i3−i3i3000000000000000000000000000
χ864-4-444-2-2-4-222422-2-4-2-21022-1-1-2122-2001-1-1100000-3300-333-300000002i3−2i300−2i32i30000000000−i3i3i3−i3000000000000000000000000000
χ874-4-44-24424-4-4-2-4-442-2-24022-4-4-2422-200-222-20000000000000000000000000000000000000000000000000000000000023−23000000
χ884-4-44-24424-4-4-2-4-442-2-24022-4-4-2422-200-222-200000000000000000000000000000000000000000000000000000000000−2323000000
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
χ9188-8-88-4-48444-8-4-44-8-4-420-4-42-24-24440022-2-20000000000000000000000000000000000000000000000000000000000000000000
χ9288-8-8-4-48-4-84-84-48442-4-402-4-4444-24-20022-2-20000000000000000000000000000000000000000000000000000000000000000000
χ9388-8-8-4-4-4-44444-4-4442220222-2-2-2-2-2-200-1-1110006i−6i0000−3i−3i3i3i000000000000000000000000000000000000000000000000000000
χ9488-8-8-4-4-4-44444-4-4442220222-2-2-2-2-2-200-1-111000−6i6i00003i3i−3i−3i000000000000000000000000000000000000000000000000000000
χ958-88-88-4-4-84-4-4-84448-4-42044-224-2-4-44002-22-20000000000000000000000000000000000000000000000000000000000000000000
χ968-88-8-48-4448-44-84-8-4-42-404-24-4-24-424002-22-20000000000000000000000000000000000000000000000000000000000000000000
χ978-88-8-4-4-444-4-44444-42220-2-2-22-2-222-200-11-1100000006i−6i−3i3i−3i3i000000000000000000000000000000000000000000000000000000
χ988-88-8-4-4-444-4-44444-42220-2-2-22-2-222-200-11-110000000−6i6i3i−3i3i−3i000000000000000000000000000000000000000000000000000000
χ998-8-88-48-44-4-84-4-8484-42-404-2442-44-2-4002-2-220000000000000000000000000000000000000000000000000000000000000000000
χ1008-8-88-4-48484-8-44-8-442-4-40-2444-4-4-242002-2-220000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-88-4-4-44-444-444-442220-2-2-2-222-2-2200-111-1000006-600-333-3000000000000000000000000000000000000000000000000000000
χ1028-8-88-4-4-44-444-444-442220-2-2-2-222-2-2200-111-100000-66003-3-33000000000000000000000000000000000000000000000000000000

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