Finite Group Databasebeta

← Group #13172263

Character table — Group #13172263

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222244444444444444488888888888888881212121212121212121212121212181818181818242424242424242424242424242424242424242436363636363636363636367272108108
order1222333666666666233366666666666366666666666666644444412121212121212124444441212121212121212121212121212121212121212244121212121212121261224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-11-1111111-1-1-1-111-1-11-1-11111-111111111-1-1-1-11-1-1-1-111-1-1-1-11-1-1-1
χ31111111111111111111111111111111111111111111111111-11-1111-1-1111111-1-1-1-1-11111-1-111111-1-1-1-11111-11-111-1-1-1-1-1-1-11-1-1
χ41111111111111111111111111111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-111-1-1-111-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-111
χ511111111111111111111111111111111111111111111111-1-11111-1-111-1-111-1-1-1-111111-1-1111-1-1-1-111111111-1-11-1-1-1-11111-1-1-1-1
χ611111111111111111111111111111111111111111111111-1-11-11-1-1-111-1-1-1-111-1-1-1-11-1-1-1-111-1-1-1-1-11111-1-1-1-1-11-111-1-1-1-1-1-1-1111
χ711111111111111111111111111111111111111111111111-1-1-11-11-1-1-1-1-1-111-1-111-1-1-111-1-1-1-11-1-1-1-1-1-1-1-111111-1-1-1-111-1-1-1-11-111
χ811111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1
χ91111111111111111-1111-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-11-111-1-111-1-1-1-1-1-111-1-1-1-11111-11-1-111-1-111-1-111-1-11-1111-1-111-1-11-1-11
χ101111111111111111-1111-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-11-11-1-1111-1-1-1-111-1-1-1-1111-1-11-11-1111-1-111-1-1-1-11111-1-1-1-1-1-1-111111-1
χ111111111111111111-1111-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-11-1-111-11111-1-1-1-1111111-1111-1-11-111-1-1-1-11111-1-1-1-1-11111-1-111-1-11-1
χ121111111111111111-1111-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-11-1-1-1111111-1-111-1-111-1-1-1-1-11-1-11111-1-1-1-111-1-111-111-1-11111-1-1-11-11
χ131111111111111111-1111-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1111-1-1-1-1-1-111-1-1-1-111-1-1111-111-1-1-1-11111-1-111-1-1-111-1-11111-1-1-111-1
χ141111111111111111-1111-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-1-111-1-11-1-1-1-111111111111-1-1-111-11-1-11111-1-1-1-111-1-1-11111-1-111-1-1-11
χ151111111111111111-1111-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-1-11-111-1-1-11111-1-1-1-1-1-111-111-11-11-1-1-111-1-11111-1-111-1-1-1-1-1-1-11111-11
χ161111111111111111-1111-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-1-11-1-111-1-111111111-1-1-1-1-1-1-1-11-111-1-111-1-111-1-1111-1111-1-111-1-11-11-1
χ17222222-12-1-12222-1222-1-1222-1-122-1-1-1-1-12-122-1-1-1-1-1-1-1-1-1-1-1222020-1-1-1-122000022002002-1-120-1-1-1-1-1-1-1-1000020000-1-10000-1000
χ18222222-12-1-12222-1222-1-1222-1-122-1-1-1-1-12-122-1-1-1-1-1-1-1-1-1-1-122-20-20-1-111220000-2-200-2002-11-20-1-1-1-111110000-200001100001000
χ19222222-12-1-12222-1222-1-1222-1-122-1-1-1-1-12-122-1-1-1-1-1-1-1-1-1-1-1-2-2202011-1-1-2-20000-2-200200-21-1201111-1-1-1-10000-200001100001000
χ20222222-12-1-12222-1222-1-1222-1-122-1-1-1-1-12-122-1-1-1-1-1-1-1-1-1-1-1-2-2-20-201111-2-200002200-200-211-2011111111000020000-1-10000-1000
χ21222222-12-1-12222-12-22-1-1-2-22-1-122-1-1-1-1-1-21-2-21111-1-1-111112-220-20-1-111-2-20000-2-20020021-1-20-1-111-1-111000020000110000-1000
χ22222222-12-1-12222-12-22-1-1-2-22-1-122-1-1-1-1-1-21-2-21111-1-1-111112-2-2020-1-1-1-1-2-200002200-20021120-1-11111-1-10000-20000-1-100001000
χ23222222-12-1-12222-12-22-1-1-2-22-1-122-1-1-1-1-1-21-2-21111-1-1-11111-2220-2011112200002200200-2-1-1-2011-1-1-1-1110000-20000-1-100001000
χ24222222-12-1-12222-12-22-1-1-2-22-1-122-1-1-1-1-1-21-2-21111-1-1-11111-22-202011-1-1220000-2-200-200-2-112011-1-111-1-1000020000110000-1000
χ2522222-122222-1-1-1222-12-122-12-1-1-122-1-1-1-12-1-122-1-1-1-1-1-1-1-1-12202022200-1-1-1-122000002-1-12002-1-1-1-10000-1-1-1-1020-1-10000000-100
χ2622222-122222-1-1-1222-12-122-12-1-1-122-1-1-1-12-1-122-1-1-1-1-1-1-1-1-1220-20-22200-1-111-2-200000-21-1200-2-1-1-1-1000011110-20110000000100
χ2722222-122222-1-1-1222-12-122-12-1-1-122-1-1-1-12-1-122-1-1-1-1-1-1-1-1-1-2-20202-2-20011-1-1-2-2000002-11-200211110000-1-1-1-10-20110000000100
χ2822222-122222-1-1-1222-12-122-12-1-1-122-1-1-1-12-1-122-1-1-1-1-1-1-1-1-1-2-20-20-2-2-20011112200000-211-200-2111100001111020-1-10000000-100
χ2922222-122222-1-1-122-2-12-1-2-2-12-1-1-122-1-1-11-211-2-211-1-1-111112-2020-22200111122000002-1-1-200-2-1-1110000-1-1110-20-1-10000000100
χ3022222-122222-1-1-122-2-12-1-2-2-12-1-1-122-1-1-11-211-2-211-1-1-111112-20-202220011-1-1-2-200000-21-1-2002-1-111000011-1-1020110000000-100
χ3122222-122222-1-1-122-2-12-1-2-2-12-1-1-122-1-1-11-211-2-211-1-1-11111-22020-2-2-200-1-111-2-2000002-11200-211-1-10000-1-111020110000000-100
χ3222222-122222-1-1-122-2-12-1-2-2-12-1-1-122-1-1-11-211-2-211-1-1-11111-220-202-2-200-1-1-1-12200000-211200211-1-1000011-1-10-20-1-10000000100
χ332222-122-122-12222-12-1-12-1-1-1-12-1-1-1-122-122-1-1-1-122-1-1-1-1-1-1-100222200220022000022-1-12002-1-10000-1-1-1-1-1-1-1-10020000-1-1-1-10000
χ342222-122-122-12222-12-1-12-1-1-1-12-1-1-1-122-122-1-1-1-122-1-1-1-1-1-1-1002-22-2002200-2-20000-2-2-11-2002-110000-1-1-1-1111100-2000011110000
χ352222-122-122-12222-12-1-12-1-1-1-12-1-1-1-122-122-1-1-1-122-1-1-1-1-1-1-100-22-2200-2-200220000-2-21-1200-21-100001111-1-1-1-100-2000011110000
χ362222-122-122-12222-12-1-12-1-1-1-12-1-1-1-122-122-1-1-1-122-1-1-1-1-1-1-100-2-2-2-200-2-200-2-200002211-200-2110000111111110020000-1-1-1-10000
χ372222-122-122-12222-1-2-1-1211-1-12-1-1-1-122-1-2-21111-2-2-1-1-111110022-2-200-2-200-2-20000-2-2-1-12002110000-1-111-1-1110020000-1-1110000
χ382222-122-122-12222-1-2-1-1211-1-12-1-1-1-122-1-2-21111-2-2-1-1-11111002-2-2200-2-20022000022-11-20021-10000-1-11111-1-100-2000011-1-10000
χ392222-122-122-12222-1-2-1-1211-1-12-1-1-1-122-1-2-21111-2-2-1-1-1111100-222-2002200-2-20000221-1200-2-11000011-1-1-1-11100-2000011-1-10000
χ402222-122-122-12222-1-2-1-1211-1-12-1-1-1-122-1-2-21111-2-2-1-1-1111100-2-222002200220000-2-211-200-2-1-1000011-1-111-1-10020000-1-1110000
χ412-22-2222-2-2-222-2-22-2022200-2-2-22-22-22-22000000002-2-20000000000000000002i−2i2-22i−2i000000000000000000000002i−2i2-2002i−2i0000
χ422-22-2222-2-2-222-2-22-2022200-2-2-22-22-22-22000000002-2-20000000000000000002i−2i-22−2i2i000000000000000000000002i−2i-2200−2i2i0000
χ432-22-2222-2-2-222-2-22-2022200-2-2-22-22-22-22000000002-2-2000000000000000000−2i2i2-2−2i2i00000000000000000000000−2i2i2-200−2i2i0000
χ442-22-2222-2-2-222-2-22-2022200-2-2-22-22-22-22000000002-2-2000000000000000000−2i2i-222i−2i00000000000000000000000−2i2i-22002i−2i0000
χ4544444-2-24-2-24-2-2-2-244-2-2144-2-21-2-2-2-2111-2-2-2-2-2-2111111111440000-2-200-2-200000000000-2-2000111100000000000000000000000
χ4644444-2-24-2-24-2-2-2-244-2-2144-2-21-2-2-2-2111-2-2-2-2-2-2111111111-4-400002200220000000000022000-1-1-1-100000000000000000000000
χ4744444-2-24-2-24-2-2-2-24-4-2-21-4-4-2-21-2-2-2-2111222222-1-1111-1-1-1-14-40000-2-2002200000000000-2200011-1-100000000000000000000000
χ4844444-2-24-2-24-2-2-2-24-4-2-21-4-4-2-21-2-2-2-2111222222-1-1111-1-1-1-1-4400002200-2-2000000000002-2000-1-11100000000000000000000000
χ494444-24-2-2-2-2-2444-2-24-21-2-2-2-21-2-2-211-2-214-2-2-211-2-2111111100404000-2-20000000000-20000-2-20000011110000000000000000000
χ504444-24-2-2-2-2-2444-2-24-21-2-2-2-21-2-2-211-2-214-2-2-211-2-2111111100-40-4000220000000000200002200000-1-1-1-10000000000000000000
χ514444-24-2-2-2-2-2444-2-2-4-21-222-21-2-2-211-2-21-4222-1-122111-1-1-1-10040-4000220000000000-20000-220000011-1-10000000000000000000
χ524444-24-2-2-2-2-2444-2-2-4-21-222-21-2-2-211-2-21-4222-1-122111-1-1-1-100-404000-2-20000000000200002-200000-1-1110000000000000000000
χ534444-2-24-244-2-2-2-24-241-2-2-2-21-2-211-2-2-2-21-2411-2-2-2-21111111000404000000-2-20000000-2-20000-2000000001111000000000000000
χ544444-2-24-244-2-2-2-24-241-2-2-2-21-2-211-2-2-2-21-2411-2-2-2-21111111000-40-4000000220000000220000200000000-1-1-1-1000000000000000
χ554444-2-24-244-2-2-2-24-2-41-2-2221-2-211-2-2-2-212-4-1-12222111-1-1-1-100040-4000000220000000-2-2000020000000011-1-1000000000000000
χ564444-2-24-244-2-2-2-24-2-41-2-2221-2-211-2-2-2-212-4-1-12222111-1-1-1-1000-404000000-2-20000000220000-200000000-1-111000000000000000
χ5744-4-444444-4-4-44-4-4-404440044-4-4-4-4-4-44400000000-44-400000000000000000000000000000000000000000000000000000000000
χ5844-4-444-24-22-4-44-42-404-2-2004-22-4-4222-2-2000000002-2200000000000023−2300000000000000000000000023−230000000000000000000
χ5944-4-444-24-22-4-44-42-404-2-2004-22-4-4222-2-2000000002-22000000000000−2323000000000000000000000000−23230000000000000000000
χ6044-4-44-2444-4-42-22-4-40-24-200-24222-4-42-2-2000000002-22000000000000000023−2300000000000000000000000023−23000000000000000
χ6144-4-44-2444-4-42-22-4-40-24-200-24222-4-42-2-2000000002-220000000000000000−2323000000000000000000000000−2323000000000000000
χ6244-4-4-244-24-42-44-4-420-2-24−2i32i3-2-2-42222-44-200−2i32i3−2i32i3002-22−2i3−2i32i32i30000000000000000000000000000000000000000000000000000000
χ6344-4-4-244-24-42-44-4-420-2-242i3−2i3-2-2-42222-44-2002i3−2i32i3−2i3002-222i32i3−2i3−2i30000000000000000000000000000000000000000000000000000000
χ6444-4-4-24-2-2-222-44-4220-21-2−2i32i3-21222-1-12-2100−2i32i3i3−i300-11-1i3i3−i3−i30000000023−2300000000000000000000003i−3i−330000000000000000000
χ6544-4-4-24-2-2-222-44-4220-21-2−2i32i3-21222-1-12-2100−2i32i3i3−i300-11-1i3i3−i3−i300000000−23230000000000000000000000−3i3i3−30000000000000000000
χ6644-4-4-24-2-2-222-44-4220-21-22i3−2i3-21222-1-12-21002i3−2i3−i3i300-11-1−i3−i3i3i30000000023−230000000000000000000000−3i3i−330000000000000000000
χ6744-4-4-24-2-2-222-44-4220-21-22i3−2i3-21222-1-12-21002i3−2i3−i3i300-11-1−i3−i3i3i300000000−232300000000000000000000003i−3i3−30000000000000000000
χ6844-4-4-2-24-24-422-22-4201-2-2−2i32i31-22-1-1222-2100i3−i3−2i32i300-11-1i3i3−i3−i300000000000023−2300000000000000000000003i−3i−33000000000000000
χ6944-4-4-2-24-24-422-22-4201-2-2−2i32i31-22-1-1222-2100i3−i3−2i32i300-11-1i3i3−i3−i3000000000000−23230000000000000000000000−3i3i3−3000000000000000
χ7044-4-4-2-24-24-422-22-4201-2-22i3−2i31-22-1-1222-2100−i3i32i3−2i300-11-1−i3−i3i3i300000000000023−230000000000000000000000−3i3i−33000000000000000
χ7144-4-4-2-24-24-422-22-4201-2-22i3−2i31-22-1-1222-2100−i3i32i3−2i300-11-1−i3−i3i3i3000000000000−232300000000000000000000003i−3i3−3000000000000000
χ724-44-444-2-42244-4-4-2-404-2-200-4224-4-22-22-200000000-222000000000000000000004-4000000000000000000000000000-2200000000
χ734-44-444-2-42244-4-4-2-404-2-200-4224-4-22-22-200000000-22200000000000000000000-440000000000000000000000000002-200000000
χ744-44-44-24-4-4-44-2224-40-24-2002-42-224-4-22-200000000-2220000000000000000004i−4i000000000000000000000000000−2i2i0000000000
χ754-44-44-24-4-4-44-2224-40-24-2002-42-224-4-22-200000000-222000000000000000000−4i4i0000000000000000000000000002i−2i0000000000
χ764-44-4-2442-4-4-24-4-4420-2-240022-4-22-224-4-200000000-22200000000000000000000004i−4i00000000000000000000000000000−2i2i0000
χ774-44-4-2442-4-4-24-4-4420-2-240022-4-22-224-4-200000000-2220000000000000000000000−4i4i000000000000000000000000000002i−2i0000
χ784-4-44444-4-44-4-4-44-44044400-4-44-44-44-4-4400000000-4-4400000000000000000000000000000000000000000000000000000000000
χ794-4-4444-2-42-2-4-4-442404-2-200-42-2-442-222-20000000022-2000000000023−230000000000000000000023−230000000000000000000000000
χ804-4-4444-2-42-2-4-4-442404-2-200-42-2-442-222-20000000022-20000000000−232300000000000000000000−23230000000000000000000000000
χ814-4-444-24-4-44-422-2-440-24-2002-4-22-2-4422-20000000022-20000000000000023−2300000000000000000023−2300000000000000000000000
χ824-4-444-24-4-44-422-2-440-24-2002-4-22-2-4422-20000000022-200000000000000−2323000000000000000000−232300000000000000000000000
χ834-4-444-2-2-42-2-422-2240-2-21002212-22-2-1-110000003-3-1-113-33-300000023−230023−230000000000000000−33−3300000000000000000000000
χ844-4-444-2-2-42-2-422-2240-2-21002212-22-2-1-110000003-3-1-113-33-3000000−232300−232300000000000000003−33−300000000000000000000000
χ854-4-444-2-2-42-2-422-2240-2-21002212-22-2-1-11000000-33-1-11-33-3300000023−2300−23230000000000000000−333−300000000000000000000000
χ864-4-444-2-2-42-2-422-2240-2-21002212-22-2-1-11000000-33-1-11-33-33000000−23230023−2300000000000000003−3−3300000000000000000000000
χ874-4-44-2442-442-4-44-4-20-2-24002242-22-2-4-4-20000000022-2000000000000000000000000000000000000000000000000000−2i32i3000000
χ884-4-44-2442-442-4-44-4-20-2-24002242-22-2-4-4-20000000022-20000000000000000000000000000000000000000000000000002i3−2i3000000
χ898888-4-4-4-4-4-4-4-4-4-4-4-48222-4-4222222222-1-4-4222222-1-1-1-1-1-1-10000000000000000000000000000000000000000000000000000000
χ908888-4-4-4-4-4-4-4-4-4-4-4-4-822244222222222-144-2-2-2-2-2-2-1-1-111110000000000000000000000000000000000000000000000000000000
χ9188-8-88-4-48-44-84-444-80-4-4200-4-4-24444-22200000000-22-200000000000000000000000000000000000000000000000000000000000
χ9288-8-8-4-4-4-4-4444-44440222−4i34i322-2-2-2-2-2-22-1002i3−2i32i3−2i3001-11−i3−i3i3i30000000000000000000000000000000000000000000000000000000
χ9388-8-8-4-4-4-4-4444-444402224i3−4i322-2-2-2-2-2-22-100−2i32i3−2i32i3001-11i3i3−i3−i30000000000000000000000000000000000000000000000000000000
χ948-88-88-4-4-8448-444-4-80-4-420044-2-44-442-22000000002-2-200000000000000000000000000000000000000000000000000000000000
χ958-88-8-48-4444-48-8-8-440-42-4004-24-442-2-442000000002-2-200000000000000000000000000000000000000000000000000000000000
χ968-88-8-4-484-8-8-4-4448402-4-400-2442-2-44-442000000002-2-200000000000000000000000000000000000000000000000000000000000
χ978-88-8-4-4-4444-4-444-44022200-2-2-22-22-22-2-100000000-111−3i33i33i3−3i30000000000000000000000000000000000000000000000000000000
χ988-88-8-4-4-4444-4-444-44022200-2-2-22-22-22-2-100000000-1113i3−3i3−3i33i30000000000000000000000000000000000000000000000000000000
χ998-8-88-48-444-44-8-884-40-42-4004-2-44-4-2244200000000-2-2200000000000000000000000000000000000000000000000000000000000
χ1008-8-88-4-484-88444-4-8-402-4-400-24-4-224-444200000000-2-2200000000000000000000000000000000000000000000000000000000000
χ1018-8-88-4-4-444-4444-44-4022200-2-22-22-22-2-2-10000006-611-1-33-330000000000000000000000000000000000000000000000000000000
χ1028-8-88-4-4-444-4444-44-4022200-2-22-22-22-2-2-1000000-6611-13-33-30000000000000000000000000000000000000000000000000000000

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