Finite Group Databasebeta

← Group #13168597

Character table — Group #13168597

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222222444444444444466888888888888888881212121212121212121212121212121212181824242424242424242424242424242424242436363636363636363636365454727272108
order1222333666666666333466666666644366612121212121212121212121212224446612121212121212121212446666666121212121212121212121244444121212121212441212122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111-1-1111111-1-111-1-1-1-11111111-11-11111-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11-1
χ31111111111111111111111111111111111111111111111111-1-111-1-111-1-1111111-1-111-111-1-11-1111-1-111111-1-11-111-1-1-1-1-1-1-11-1-1
χ41111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-111-1-11111-111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1-111-1-1111-1-11
χ511111111111111111111111111111-1-111111111111111111-1111111-1-11111-1-11111-1-11-1-111111-1-1111111-1-1-1-11-1-111-1-1-1-11-1-1-1
χ611111111111111111111111111111-1-111111111111111111-111-1-111-1-111-1-1-1-1-1-1-1-1-1-11-1-111-11-1-1-111-1-1-1-11-1-11-111-1-1-1-111-11-11
χ711111111111111111111111111111-1-111111111111111111-1-1-111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-111-1-1-1-1-1-11111-1-111
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
χ91111111111111111111-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11111-1-11111-1-1-1-1-1-11-1-111-1-1111-1-111-1-1-11-11111-1-1-1-1-1-11-111
χ101111111111111111111-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-1-1-1111111-1-11-1-1111-1-111-1-1-1-11111-1-1-1-1-111-1-111-111-1
χ111111111111111111111-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-111111111-1-1-1-1
χ121111111111111111111-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-11111-1-11111-1-1-1-1-1-1-1-1-111-11111-1-1111-11-11-1-1-1-111-1-111-11
χ131111111111111111111-1111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-11-111-1-1-1-111-1-1-1-1-1-11111111-1-11-1-1-1-111-1-11-11-11-1-1-1-1111111-1-1
χ141111111111111111111-1111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-111-1111111-1-1-1-1-11
χ151111111111111111111-1111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-1-1-11111-1-1-1-11111-111-1-1-111-1-11111-1-111-1-1-1-1-111-1-1-1-1-1111
χ161111111111111111111-1111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-1-1-1-111-1-1-1-111-1-111-111-1-111-1-1-111-1-111-11-11111-1-1-1-1111-11-1
χ17222222-12-1-122222-12-1-122-1-12-1-1-1-1222-1-1-1-122-122-1-1-1-1-1-1-1-12220022-1-1-1-1002200002-1-1-1-1-1-1020-1-1-1-10000022000000-1-10000-10
χ18222222-12-1-122222-12-1-122-1-12-1-1-1-1222-1-1-1-122-122-1-1-1-1-1-1-1-12-2-200-2-2-1-111002200002-11-1-1110-20-1-11100000-2-200000011000010
χ19222222-12-1-122222-12-1-122-1-12-1-1-1-12-2-2-1-1-1-122-122-1-1-1-1-1-1-1-1-222002211-1-100-2-20000-21-111-1-102011-1-100000-2-200000011000010
χ20222222-12-1-122222-12-1-122-1-12-1-1-1-12-2-2-1-1-1-122-122-1-1-1-1-1-1-1-1-2-2-200-2-2111100-2-20000-21111110-2011110000022000000-1-10000-10
χ21222222-12-1-122222-12-1-1-22-1-12-1-1-1-1222-1-1-1-1-2-21-2-211111111-22-20022-1-11100220000-21-111-1-10-20-1-111000002-2000000110000-10
χ22222222-12-1-122222-12-1-1-22-1-12-1-1-1-1222-1-1-1-1-2-21-2-211111111-2-2200-2-2-1-1-1-100220000-2111111020-1-1-1-100000-22000000-1-1000010
χ23222222-12-1-122222-12-1-1-22-1-12-1-1-1-12-2-2-1-1-1-1-2-21-2-21111111122-20022111100-2-200002-1-1-1-1-1-10-20111100000-22000000-1-1000010
χ24222222-12-1-122222-12-1-1-22-1-12-1-1-1-12-2-2-1-1-1-1-2-21-2-2111111112-2200-2-211-1-100-2-200002-11-1-11102011-1-1000002-2000000110000-10
χ2522222-12222-12-1-122-12-12-12-1-12-12-1-122-1-1-1-12-12-1-122-1-1-1-1-1-120022002200-1-1-1-12200-120-1-100-102-1-100-1-1-1-120020-1-10000000-100
χ2622222-12222-12-1-122-12-12-12-1-12-12-1-122-1-1-1-12-12-1-122-1-1-1-1-1-1200-2-200220011-1-1-2-200-120-1-10010-2-1-1001111-200-20110000000100
χ2722222-12222-12-1-122-12-12-12-1-12-12-1-1-2-2-1-1-1-12-12-1-122-1-1-1-1-1-1-2002200-2-200-1-11122001-201100-1021100-1-1-1-1-200-20110000000100
χ2822222-12222-12-1-122-12-12-12-1-12-12-1-1-2-2-1-1-1-12-12-1-122-1-1-1-1-1-1-200-2-200-2-2001111-2-2001-20110010-21100111120020-1-10000000-100
χ2922222-12222-12-1-122-12-1-2-12-1-12-12-1-122-1-1-1-1-21-211-2-2111111-2002-2002200-1-1-1-1-2-2001-201100102-1-100-1-111-20020-1-10000000100
χ3022222-12222-12-1-122-12-1-2-12-1-12-12-1-122-1-1-1-1-21-211-2-2111111-200-2200220011-1-122001-201100-10-2-1-10011-1-1200-20110000000-100
χ3122222-12222-12-1-122-12-1-2-12-1-12-12-1-1-2-2-1-1-1-1-21-211-2-21111112002-200-2-200-1-111-2-200-120-1-1001021100-1-111200-20110000000-100
χ3222222-12222-12-1-122-12-1-2-12-1-12-12-1-1-2-2-1-1-1-1-21-211-2-2111111200-2200-2-20011112200-120-1-100-10-2110011-1-1-20020-1-10000000100
χ332222-122-1222-122-12-1-122-1-12-1-12-12-100-1-1-1-1-122-1-1-1-122-1-1-1-102222-1-100222200-1-12200200-1-12-1-100-1-1-1-1-1-10000200-1-10000-1000
χ342222-122-1222-122-12-1-122-1-12-1-12-12-100-1-1-1-1-122-1-1-1-122-1-1-1-1022-2-2-1-10022-2-20011-2-200200-1-1-2-1100-1-111110000-2001100001000
χ352222-122-1222-122-12-1-122-1-12-1-12-12-100-1-1-1-1-122-1-1-1-122-1-1-1-10-2-2221100-2-22200-1-1-2-200-2001121-10011-1-1-1-10000-2001100001000
χ362222-122-1222-122-12-1-122-1-12-1-12-12-100-1-1-1-1-122-1-1-1-122-1-1-1-10-2-2-2-21100-2-2-2-200112200-20011-211001111110000200-1-10000-1000
χ372222-122-1222-122-12-1-12-2-1-12-1-12-12-100-1-1-1-11-2-21111-2-2111102-22-2-1-100-2-2220011-2-200200-1-1-21-10011-1-1110000200110000-1000
χ382222-122-1222-122-12-1-12-2-1-12-1-12-12-100-1-1-1-11-2-21111-2-2111102-2-22-1-100-2-2-2-200-1-12200200-1-1211001111-1-10000-200-1-100001000
χ392222-122-1222-122-12-1-12-2-1-12-1-12-12-100-1-1-1-11-2-21111-2-211110-222-21100222200112200-20011-2-1-100-1-1-1-1110000-200-1-100001000
χ402222-122-1222-122-12-1-12-2-1-12-1-12-12-100-1-1-1-11-2-21111-2-211110-22-22110022-2-200-1-1-2-200-200112-1100-1-111-1-10000200110000-1000
χ412-22-2222-22-22-2-2-22-22220-2-22-2-2-22-222i−2i22-2-2000000000000000000002i−2i00002i−2i002-200000000002i−2i00000000000002-2002i−2i0000
χ422-22-2222-22-22-2-2-22-22220-2-22-2-2-22-222i−2i22-2-2000000000000000000002i−2i00002i−2i00-2200000000002i−2i0000000000000-2200−2i2i0000
χ432-22-2222-22-22-2-2-22-22220-2-22-2-2-22-22−2i2i22-2-200000000000000000000−2i2i0000−2i2i002-20000000000−2i2i00000000000002-200−2i2i0000
χ442-22-2222-22-22-2-2-22-22220-2-22-2-2-22-22−2i2i22-2-200000000000000000000−2i2i0000−2i2i00-220000000000−2i2i0000000000000-22002i−2i0000
χ4544444-2-24-2-2-24-2-24-2-2-214-2-21-2-21-21-24411114-2-2-2-2-2-21111114000000-2-20000-2-20000-2-2011000001100000000000000000000000
χ4644444-2-24-2-2-24-2-24-2-2-214-2-21-2-21-21-2-4-411114-2-2-2-2-2-2111111-4000000220000220000220-1-100000-1-100000000000000000000000
χ4744444-2-24-2-2-24-2-24-2-2-21-4-2-21-2-21-21-2441111-4222222-1-1-1-1-1-1-4000000-2-20000-2-20000220-1-1000001100000000000000000000000
χ4844444-2-24-2-2-24-2-24-2-2-21-4-2-21-2-21-21-2-4-41111-4222222-1-1-1-1-1-14000000220000220000-2-201100000-1-100000000000000000000000
χ494444-24-2-2-2-24-244-2-2-21-24-21-2-21-21-2-2001111-24-2-2-211-2-2111104400-2-200-2-20000000000-200110-200011000000000000000000000
χ504444-24-2-2-2-24-244-2-2-21-24-21-2-21-21-2-2001111-24-2-2-211-2-211110-4-4002200220000000000200-1-102000-1-1000000000000000000000
χ514444-24-2-2-2-24-244-2-2-21-2-4-21-2-21-21-2-20011112-4222-1-122-1-1-1-104-400-2-200220000000000-2001102000-1-1000000000000000000000
χ524444-24-2-2-2-24-244-2-2-21-2-4-21-2-21-21-2-20011112-4222-1-122-1-1-1-10-44002200-2-20000000000200-1-10-200011000000000000000000000
χ534444-2-24-244-2-2-2-2-241-2-241-2-21-2-2-2-21001111-2-2411-2-2-2-2111100044000000-2-200-2-2000000000-20-20000111100000000000000000
χ544444-2-24-244-2-2-2-2-241-2-241-2-21-2-2-2-21001111-2-2411-2-2-2-21111000-4-40000002200220000000002020000-1-1-1-100000000000000000
χ554444-2-24-244-2-2-2-2-241-2-2-41-2-21-2-2-2-2100111122-4-1-12222-1-1-1-10004-4000000-2-2002200000000020-2000011-1-100000000000000000
χ564444-2-24-244-2-2-2-2-241-2-2-41-2-21-2-2-2-2100111122-4-1-12222-1-1-1-1000-440000002200-2-2000000000-2020000-1-11100000000000000000
χ5744-4-44444-44-4-4-44-4-4444044-4-4-4-4-44-4004-44-40000000000000000000000000000000000000000000000000000000000000000000
χ5844-4-444-242-2-4-4-44-424-2-204-22-4222-2-400-22-22000000000000000000000023−230000000000000000000023−23000000000000000000000
χ5944-4-444-242-2-4-4-44-424-2-204-22-4222-2-400-22-220000000000000000000000−232300000000000000000000−2323000000000000000000000
χ6044-4-44-244-442-42-2-4-4-24-20-2422-42-4-2200-22-22000000000000000000000000000000000000000000000000000000023−230000000000
χ6144-4-44-244-442-42-2-4-4-24-20-2422-42-4-2200-22-220000000000000000000000000000000000000000000000000000000−23230000000000
χ6244-4-4-244-2-44-42-442-4-2-240-2-2-422-424200-22-22000000000000000000−2i32i300000000000000000−2i32i30000000000000000000000000000
χ6344-4-4-244-2-44-42-442-4-2-240-2-2-422-424200-22-220000000000000000002i3−2i3000000000000000002i3−2i30000000000000000000000000000
χ6444-4-4-24-2-22-2-42-4422-21-20-2122-12-1-22001-11-1000003i−3i003i3i−3i−3i00000−2i32i30023−230000000000000i3−i300000−33000000000000000000000
χ6544-4-4-24-2-22-2-42-4422-21-20-2122-12-1-22001-11-1000003i−3i003i3i−3i−3i000002i3−2i300−23230000000000000−i3i3000003−3000000000000000000000
χ6644-4-4-24-2-22-2-42-4422-21-20-2122-12-1-22001-11-100000−3i3i00−3i−3i3i3i00000−2i32i300−23230000000000000i3−i3000003−3000000000000000000000
χ6744-4-4-24-2-22-2-42-4422-21-20-2122-12-1-22001-11-100000−3i3i00−3i−3i3i3i000002i3−2i30023−230000000000000−i3i300000−33000000000000000000000
χ684-44-444-2-4-224-4-4-4424-2-20-42-2-422-2244i−4i-2-22200000000000000000000−2i2i00004i−4i00000000000000−2i2i00000000000000000000000
χ694-44-444-2-4-224-4-4-4424-2-20-42-2-422-224−4i4i-2-222000000000000000000002i−2i0000−4i4i000000000000002i−2i00000000000000000000000
χ704-44-44-24-44-4-2-4224-4-24-202-4-22-4242-24i−4i-2-222000000000000000000004i−4i0000−2i2i00000000000000−2i2i00000000000000000000000
χ714-44-44-24-44-4-2-4224-4-24-202-4-22-4242-2−4i4i-2-22200000000000000000000−4i4i00002i−2i000000000000002i−2i00000000000000000000000
χ724-44-44-2-2-4-22-2-42242-2-21022122-1-2-1-24i−4i11-1-100000003i−3i3i−3i3i−3i0000000−2i2i0000−2i2i00000003-300000i−i00000000000000000000000
χ734-44-44-2-2-4-22-2-42242-2-21022122-1-2-1-24i−4i11-1-10000000−3i3i−3i3i−3i3i0000000−2i2i0000−2i2i0000000-3300000i−i00000000000000000000000
χ744-44-44-2-2-4-22-2-42242-2-21022122-1-2-1-2−4i4i11-1-100000003i−3i3i−3i3i−3i00000002i−2i00002i−2i0000000-3300000−ii00000000000000000000000
χ754-44-44-2-2-4-22-2-42242-2-21022122-1-2-1-2−4i4i11-1-10000000−3i3i−3i3i−3i3i00000002i−2i00002i−2i00000003-300000−ii00000000000000000000000
χ764-44-4-24424-442-4-4-2-4-2-24022422-4-2-4-200-2-2220000000000000000000000000000004-40000000000000000000000000-2200000000
χ774-44-4-24424-442-4-4-2-4-2-24022422-4-2-4-200-2-222000000000000000000000000000000-4400000000000000000000000002-200000000
χ784-4-44444-4-4-4-444-4-444440-4-4-4444-4-4-4004-4-440000000000000000000000000000000000000000000000000000000000000000000
χ794-4-4444-2-422-444-4-4-24-2-20-4224-2-222-400-222-200000000000000000000000000000000000000000000000000000000000−2i32i3000000
χ804-4-4444-2-422-444-4-4-24-2-20-4224-2-222-400-222-2000000000000000000000000000000000000000000000000000000000002i3−2i3000000
χ814-4-444-24-4-4-424-22-44-24-202-42-24-2-42200-222-200000000000000000000000023−230000000000000000000023−230000000000000000000
χ824-4-444-24-4-4-424-22-44-24-202-42-24-2-42200-222-2000000000000000000000000−232300000000000000000000−23230000000000000000000
χ834-4-44-2442-4-4-4-24-424-2-24022-4-2-242-4200-222-2000000000000000000000000000023−2300000000000000000023−2300000000000000000
χ844-4-44-2442-4-4-4-24-424-2-24022-4-2-242-4200-222-20000000000000000000000000000−2323000000000000000000−232300000000000000000
χ854-4-44-2-242-4-42-2-22241-2-20-1221-2-222-1001-1-110003-300003-3-330000000000023−230023−230000000000000000−33−3300000000000000000
χ864-4-44-2-242-4-42-2-22241-2-20-1221-2-222-1001-1-110003-300003-3-3300000000000−232300−232300000000000000003−33−300000000000000000
χ874-4-44-2-242-4-42-2-22241-2-20-1221-2-222-1001-1-11000-330000-333-30000000000023−2300−23230000000000000000−333−300000000000000000
χ884-4-44-2-242-4-42-2-22241-2-20-1221-2-222-1001-1-11000-330000-333-300000000000−23230023−2300000000000000003−3−3300000000000000000
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
χ9188-8-88-4-484-44-84-4-84-4-420-4-4-244-2424002-22-20000000000000000000000000000000000000000000000000000000000000000000
χ9288-8-8-4-48-4-88444-44-82-4-402-44-2444-4-2002-22-20000000000000000000000000000000000000000000000000000000000000000000
χ9388-8-8-4-4-4-44-4444-444222022-2-2-2-2-22-200-11-11000006i−6i00−3i−3i3i3i000000000000000000000000000000000000000000000000000000
χ9488-8-8-4-4-4-44-4444-444222022-2-2-2-2-22-200-11-1100000−6i6i003i3i−3i−3i000000000000000000000000000000000000000000000000000000
χ958-88-8-48-44-4484-8-8-44-42-404-2-44-2424-40022-2-20000000000000000000000000000000000000000000000000000000000000000000
χ968-88-8-4-4848-8-4444-4-82-4-40-24-4-244-4420022-2-20000000000000000000000000000000000000000000000000000000000000000000
χ978-88-8-4-4-44-44-4444-442220-2-22-2-2-22-2200-1-11100000006i−6i−3i3i−3i3i000000000000000000000000000000000000000000000000000000
χ988-88-8-4-4-44-44-4444-442220-2-22-2-2-22-2200-1-1110000000−6i6i3i−3i3i−3i000000000000000000000000000000000000000000000000000000
χ998-8-888-4-4-84448-44-8-4-4-42044-2-4-424-24002-2-220000000000000000000000000000000000000000000000000000000000000000000
χ1008-8-88-48-4444-8-48-84-4-42-404-24-42-4-244002-2-220000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-88-4-4-44444-4-444-42220-2-2-2222-2-2-200-111-10006-60000-333-3000000000000000000000000000000000000000000000000000000
χ1028-8-88-4-4-44444-4-444-42220-2-2-2222-2-2-200-111-1000-6600003-3-33000000000000000000000000000000000000000000000000000000

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