Finite Group Databasebeta

← Group #13172260

Character table — Group #13172260

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222244444444444444488888888888888881212121212121212121212121212181818181818242424242424242424242424242424242424242436363636363636363636367272108108
order122233366666666623336666666666636666666666666662444446612121212121244444466612121212121212121212121212121212124441212121212121212121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111-111-1111111-1-111-1-1-1-1111-11-1111-1111111-1-1-1-1-1-1111-1-1-1-1-1-1-11-1-1
χ3111111111111111111111111111111111111111111111111-111-1111-1-11111-1-1-1-1111111-111-1-1111-1-1-1-111111-1-1-1-111-1-1-1-11-1-1-1
χ4111111111111111111111111111111111111111111111111-1-11-1-111-1-111-1-1-1-111-1-1111-1-1-11-1-1-111-1-1-1-1-1-1-1-1-11-1-1-1-1-11111-1-111
χ511111111111111111111111111111111111111111111111-111-111-1-111-1-111-1-111-1-1-1-1-1111-1111-1-111111111-11-1-1-1-1-11111-1-1-1-1
χ611111111111111111111111111111111111111111111111-11-1-11-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11-1-111-1-1-11111-1-1-1-11-1-1-1-111-1-1-1-11-111
χ711111111111111111111111111111111111111111111111-1-11-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-11-11-1-1-11-1-1-1-1-1-11111-1-1111-1-1-1-1-1-1-1111
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
χ91111111111111111-1111-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-1111-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-111-1-111-1-111-1-11-11-1-1-1-111-1-1111-1
χ101111111111111111-1111-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-111111-1-111-1-1-1-111111-1-11-1-11-1-1-111-1-1-1-111-111-1-111-1-111-11-11
χ111111111111111111-1111-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-11-11-11-111-1-1-1-1-1-111-1-1-1-111111-1-11-11-1-1-1-11111-1-111-111-1-1-1-1111-1-11
χ121111111111111111-1111-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-11-1-1-11111-1-1-1-111111111111-111-11-1-1-1-1-1-111-1-111-1-1-1111111-1-1-1-11-1
χ131111111111111111-1111-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1111-1-1-1-11111-1-1111111-1-1-11-1-11-1111111-1-111-1-1-1-1-1111111-1-1-1-1-11
χ141111111111111111-1111-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-1-11-11-11-1-111111111-1-1-1-1-1-1-1-1-111-11-11111-1-1-1-11111-111-1-1-1-1111-11-1
χ151111111111111111-1111-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1111-1-1-1-1-111-1-1-1-1-1-111-1-1-111-111-1111-1-11111-1-1-111-1-111-1-111-111-1
χ161111111111111111-1111-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-111-1-111-1-1111-11-1-1-1-111-1-111-11
χ17222222-122-122-12-1222-1-1222-1-1-122-1-1-1-12-122-1-1-1-1-1-1-1-1-1-1-1202202-1-10022-1-10000222-1-1-102-1002-1-10000-1-1-1-120000-1-10000-1000
χ18222222-122-122-12-1222-1-1222-1-1-122-1-1-1-12-122-1-1-1-1-1-1-1-1-1-1-120-220-2-1-10022110000-2-22-1-110-2-100-2-1-100001111-200001100001000
χ19222222-122-122-12-1222-1-1222-1-1-122-1-1-1-12-122-1-1-1-1-1-1-1-1-1-1-1-202-2021100-2-2-1-10000-2-2-211-1021002110000-1-1-1-1-200001100001000
χ20222222-122-122-12-1222-1-1222-1-1-122-1-1-1-12-122-1-1-1-1-1-1-1-1-1-1-1-20-2-20-21100-2-211000022-21110-2100-2110000111120000-1-10000-1000
χ21222222-122-122-12-12-22-1-1-2-22-1-1-122-1-1-1-1-21-2-21111-1-1-11111202-20-2-1-100-2-2110000-2-22-1-1-10-21002110000-1-11120000110000-1000
χ22222222-122-122-12-12-22-1-1-2-22-1-1-122-1-1-1-1-21-2-21111-1-1-1111120-2-202-1-100-2-2-1-10000222-1-1102100-211000011-1-1-20000-1-100001000
χ23222222-122-122-12-12-22-1-1-2-22-1-1-122-1-1-1-1-21-2-21111-1-1-11111-20220-211002211000022-211-10-2-1002-1-10000-1-111-20000-1-100001000
χ24222222-122-122-12-12-22-1-1-2-22-1-1-122-1-1-1-1-21-2-21111-1-1-11111-20-2202110022-1-10000-2-2-211102-100-2-1-1000011-1-120000110000-1000
χ2522222-122-122-12-1222-12-122-12-1-1-1-122-1-1-12-1-122-1-1-1-1-1-1-1-1-122022022-1-1-1-100220000-1-1-10202-120-1-1-1-1-1-10000002-1-10000000-100
χ2622222-122-122-12-1222-12-122-12-1-1-1-122-1-1-12-1-122-1-1-1-1-1-1-1-1-12-202-202211-1-100-2-20000-1-1-10-2021-20-1-11111000000-2110000000100
χ2722222-122-122-12-1222-12-122-12-1-1-1-122-1-1-12-1-122-1-1-1-1-1-1-1-1-1-220-220-2-2-1-11100-2-20000111020-2-12011-1-1-1-1000000-2110000000100
χ2822222-122-122-12-1222-12-122-12-1-1-1-122-1-1-12-1-122-1-1-1-1-1-1-1-1-1-2-20-2-20-2-21111002200001110-20-21-201111110000002-1-10000000-100
χ2922222-122-122-12-122-2-12-1-2-2-12-1-1-1-122-1-11-211-2-211-1-1-11111220-2-2022-1-11100-2-20000-1-1-10-20-212011-1-1110000002110000000-100
χ3022222-122-122-12-122-2-12-1-2-2-12-1-1-1-122-1-11-211-2-211-1-1-111112-20-22022111100220000-1-1-1020-2-1-201111-1-1000000-2-1-10000000100
χ3122222-122-122-12-122-2-12-1-2-2-12-1-1-1-122-1-11-211-2-211-1-1-11111-2202-20-2-2-1-1-1-1002200001110-202120-1-1-1-111000000-2-1-10000000100
χ3222222-122-122-12-122-2-12-1-2-2-12-1-1-1-122-1-11-211-2-211-1-1-11111-2-20220-2-211-1-100-2-200001110202-1-20-1-111-1-10000002110000000-100
χ332222-122-122-12222-12-1-12-1-1-1-122-1-1-1-12-122-1-1-1-122-1-1-1-1-1-1-1022022002200220022000002-1-102-1-100-1-1-1-1-1-1-1-10200000-1-1-1-10000
χ342222-122-122-12222-12-1-12-1-1-1-122-1-1-1-12-122-1-1-1-122-1-1-1-1-1-1-102-202-2002200-2-200-2-200000-2-1102-1100-1-1-1-111110-20000011110000
χ352222-122-122-12222-12-1-12-1-1-1-122-1-1-1-12-122-1-1-1-122-1-1-1-1-1-1-10-220-2200-2-2002200-2-20000021-10-21-1001111-1-1-1-10-20000011110000
χ362222-122-122-12222-12-1-12-1-1-1-122-1-1-1-12-122-1-1-1-122-1-1-1-1-1-1-10-2-20-2-200-2-200-2-2002200000-2110-21100111111110200000-1-1-1-10000
χ372222-122-122-12222-1-2-1-1211-1-122-1-1-1-12-1-2-21111-2-2-1-1-111110220-2-2002200-2-20022000002110-2-1-100-1-111-1-1110-200000-1-1110000
χ382222-122-122-12222-1-2-1-1211-1-122-1-1-1-12-1-2-21111-2-2-1-1-1111102-20-220022002200-2-200000-21-10-2-1100-1-11111-1-1020000011-1-10000
χ392222-122-122-12222-1-2-1-1211-1-122-1-1-1-12-1-2-21111-2-2-1-1-111110-2202-200-2-200-2-200-2-2000002-11021-10011-1-1-1-111020000011-1-10000
χ402222-122-122-12222-1-2-1-1211-1-122-1-1-1-12-1-2-21111-2-2-1-1-111110-2-202200-2-20022002200000-2-1-102110011-1-111-1-10-200000-1-1110000
χ412-22-2222-222-2-2-2-2-22022200-2-22-22-22-2-22000000002-2-20000000000000000002i−2i2-22i−2i000000000000000000000002i−2i2i−2i2-2000000
χ422-22-2222-222-2-2-2-2-22022200-2-22-22-22-2-22000000002-2-20000000000000000002i−2i-22−2i2i000000000000000000000002i−2i−2i2i-22000000
χ432-22-2222-222-2-2-2-2-22022200-2-22-22-22-2-22000000002-2-2000000000000000000−2i2i2-2−2i2i00000000000000000000000−2i2i−2i2i2-2000000
χ442-22-2222-222-2-2-2-2-22022200-2-22-22-22-2-22000000002-2-2000000000000000000−2i2i-222i−2i00000000000000000000000−2i2i2i−2i-22000000
χ4544444-2-24-2-24-2-2-2-244-2-2144-2-211-2-2-2-211-2-2-2-2-2-2111111111400400-2-200-2-200000000-211000-20001100000000000000000000000
χ4644444-2-24-2-24-2-2-2-244-2-2144-2-211-2-2-2-211-2-2-2-2-2-2111111111-400-400220022000000002-1-10002000-1-100000000000000000000000
χ4744444-2-24-2-24-2-2-2-24-4-2-21-4-4-2-211-2-2-2-211222222-1-1111-1-1-1-1400-400-2-2002200000000-2110002000-1-100000000000000000000000
χ4844444-2-24-2-24-2-2-2-24-4-2-21-4-4-2-211-2-2-2-211222222-1-1111-1-1-1-1-4004002200-2-2000000002-1-1000-20001100000000000000000000000
χ494444-24-2-24-2-24-24-2-24-21-2-2-2-21-2-2-2-211-214-2-2-211-2-21111111004004000000-2-2000000000-20-2000-20000001111000000000000000
χ504444-24-2-24-2-24-24-2-24-21-2-2-2-21-2-2-2-211-214-2-2-211-2-2111111100-400-4000000220000000002020002000000-1-1-1-1000000000000000
χ514444-24-2-24-2-24-24-2-2-4-21-222-21-2-2-2-211-21-4222-1-122111-1-1-1-100400-400000022000000000-202000-200000011-1-1000000000000000
χ524444-24-2-24-2-24-24-2-2-4-21-222-21-2-2-2-211-21-4222-1-122111-1-1-1-100-4004000000-2-200000000020-20002000000-1-111000000000000000
χ534444-2-24-2-24-2-24-24-241-2-2-2-21-2-2-211-2-2-21-2411-2-2-2-2111111104004000-2-200000000000000-200-2-200011110000000000000000000
χ544444-2-24-2-24-2-24-24-241-2-2-2-21-2-2-211-2-2-21-2411-2-2-2-211111110-400-4000220000000000000020022000-1-1-1-10000000000000000000
χ554444-2-24-2-24-2-24-24-2-41-2-2221-2-2-211-2-2-212-4-1-12222111-1-1-1-10400-4000-2-2000000000000002002-200011-1-10000000000000000000
χ564444-2-24-2-24-2-24-24-2-41-2-2221-2-2-211-2-2-212-4-1-12222111-1-1-1-10-40040002200000000000000-200-22000-1-1110000000000000000000
χ5744-4-44444-4-4-444-4-4-404440044-44-4-4-4-4-4400000000-44-400000000000000000000000000000000000000000000000000000000000
χ5844-4-444-24-42-44-2-42-404-2-2004-22-2-4-4222-2000000002-22000000000000000023−2300000000000000000000000023−23000000000000000
χ5944-4-444-24-42-44-2-42-404-2-2004-22-2-4-4222-2000000002-220000000000000000−2323000000000000000000000000−2323000000000000000
χ6044-4-44-2442-4-4-242-4-40-24-200-242-222-4-42-2000000002-2200000000000023−23000000000000000000000023−23000000000000000000000
χ6144-4-44-2442-4-4-242-4-40-24-200-242-222-4-42-2000000002-22000000000000−23230000000000000000000000−2323000000000000000000000
χ6244-4-4-244-2-4-4244-4-420-2-24−2i32i3-2-2-442222-4-200−2i32i3−2i32i3002-22−2i3−2i32i32i30000000000000000000000000000000000000000000000000000000
χ6344-4-4-244-2-4-4244-4-420-2-242i3−2i3-2-2-442222-4-2002i3−2i32i3−2i3002-222i32i3−2i3−2i30000000000000000000000000000000000000000000000000000000
χ6444-4-4-24-2-2-4224-2-4220-21-2−2i32i3-212-222-1-12100−2i32i3i3−i300-11-1i3i3−i3−i300000000000023−2300000000000000000000003i−3i−33000000000000000
χ6544-4-4-24-2-2-4224-2-4220-21-2−2i32i3-212-222-1-12100−2i32i3i3−i300-11-1i3i3−i3−i3000000000000−23230000000000000000000000−3i3i3−3000000000000000
χ6644-4-4-24-2-2-4224-2-4220-21-22i3−2i3-212-222-1-121002i3−2i3−i3i300-11-1−i3−i3i3i300000000000023−230000000000000000000000−3i3i−33000000000000000
χ6744-4-4-24-2-2-4224-2-4220-21-22i3−2i3-212-222-1-121002i3−2i3−i3i300-11-1−i3−i3i3i3000000000000−232300000000000000000000003i−3i3−3000000000000000
χ6844-4-4-2-24-22-42-242-4201-2-2−2i32i31-22-2-1-1222100i3−i3−2i32i300-11-1i3i3−i3−i30000000023−230000000000000000000000−333i−3i0000000000000000000
χ6944-4-4-2-24-22-42-242-4201-2-2−2i32i31-22-2-1-1222100i3−i3−2i32i300-11-1i3i3−i3−i300000000−232300000000000000000000003−3−3i3i0000000000000000000
χ7044-4-4-2-24-22-42-242-4201-2-22i3−2i31-22-2-1-1222100−i3i32i3−2i300-11-1−i3−i3i3i30000000023−230000000000000000000000−33−3i3i0000000000000000000
χ7144-4-4-2-24-22-42-242-4201-2-22i3−2i31-22-2-1-1222100−i3i32i3−2i300-11-1−i3−i3i3i300000000−232300000000000000000000003−33i−3i0000000000000000000
χ724-44-444-2-44-2-4-42-42404-2-200-42-224-4-222-200000000-22200000000000000000000004i−4i0000000000000000000000000−2i2i00000000
χ734-44-444-2-44-2-4-42-42404-2-200-42-224-4-222-200000000-2220000000000000000000000−4i4i00000000000000000000000002i−2i00000000
χ744-44-44-24-4-24-42-42-440-24-2002-4-22-224-42-200000000-2220000000000000000004i−4i000000000000000000000000000−2i2i0000000000
χ754-44-44-24-4-24-42-42-440-24-2002-4-22-224-42-200000000-222000000000000000000−4i4i0000000000000000000000000002i−2i0000000000
χ764-44-4-2442442-4-4-4-4-20-2-2400224-4-22-22-4-200000000-222000000000000000000004-400000000000000000000000000000-22000000
χ774-44-4-2442442-4-4-4-4-20-2-2400224-4-22-22-4-200000000-22200000000000000000000-44000000000000000000000000000002-2000000
χ784-4-44444-4-4-44-4-444-4044400-4-4-4-4-44-444400000000-4-4400000000000000000000000000000000000000000000000000000000000
χ794-4-4444-2-4-424-424-2-404-2-200-4222-442-2-2-20000000022-20000000000−2i32i30000000000000−2i32i300000000000000000000000000000000
χ804-4-4444-2-4-424-424-2-404-2-200-4222-442-2-2-20000000022-200000000002i3−2i300000000000002i3−2i300000000000000000000000000000000
χ814-4-444-24-42-442-4-24-40-24-2002-4222-2-44-2-20000000022-200000000000000−2i32i3000000000000000000−2i32i300000000000000000000000
χ824-4-444-24-42-442-4-24-40-24-2002-4222-2-44-2-20000000022-2000000000000002i3−2i30000000000000000002i3−2i300000000000000000000000
χ834-4-444-2-2-422422-2-2-40-2-210022-1-12-22-2110000003-3-1-113-33-3000000−2i32i300−2i32i3000000000i3−i30000000i3−i300000000000000000000000
χ844-4-444-2-2-422422-2-2-40-2-210022-1-12-22-2110000003-3-1-113-33-30000002i3−2i3002i3−2i3000000000−i3i30000000−i3i300000000000000000000000
χ854-4-444-2-2-422422-2-2-40-2-210022-1-12-22-211000000-33-1-11-33-33000000−2i32i3002i3−2i3000000000i3−i30000000−i3i300000000000000000000000
χ864-4-444-2-2-422422-2-2-40-2-210022-1-12-22-211000000-33-1-11-33-330000002i3−2i300−2i32i3000000000−i3i30000000i3−i300000000000000000000000
χ874-4-44-2442-4-4-2-4-44420-2-240022-4-42-22-24-20000000022-20000000000000000000000000000000000000000000000000000023−230000
χ884-4-44-2442-4-4-2-4-44420-2-240022-4-42-22-24-20000000022-200000000000000000000000000000000000000000000000000000−23230000
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
χ9188-8-88-4-4844-8-4-444-80-4-4200-4-4-224444-2200000000-22-200000000000000000000000000000000000000000000000000000000000
χ9288-8-8-4-4-4-4444-4-44440222−4i34i322-22-2-2-2-2-2-1002i3−2i32i3−2i3001-11−i3−i3i3i30000000000000000000000000000000000000000000000000000000
χ9388-8-8-4-4-4-4444-4-444402224i3−4i322-22-2-2-2-2-2-100−2i32i3−2i32i3001-11i3i3−i3−i30000000000000000000000000000000000000000000000000000000
χ948-88-88-4-4-8-4-4-8444480-4-4200442-2-44-44-22000000002-2-200000000000000000000000000000000000000000000000000000000000
χ958-88-8-48-448-44-84-84-40-42-4004-2-44-442-242000000002-2-200000000000000000000000000000000000000000000000000000000000
χ968-88-8-4-484-4844-84-8-402-4-400-24-442-2-4442000000002-2-200000000000000000000000000000000000000000000000000000000000
χ978-88-8-4-4-44-4-444444-4022200-2-22-22-22-2-2-100000000-111−3i33i33i3−3i30000000000000000000000000000000000000000000000000000000
χ988-88-8-4-4-44-4-444444-4022200-2-22-22-22-2-2-100000000-1113i3−3i3−3i33i30000000000000000000000000000000000000000000000000000000
χ998-8-88-48-44-84-4-848-440-42-4004-2444-4-22-4200000000-2-2200000000000000000000000000000000000000000000000000000000000
χ1008-8-88-4-4844-8-44-8-48402-4-400-2444-224-4-4200000000-2-2200000000000000000000000000000000000000000000000000000000000
χ1018-8-88-4-4-4444-444-4-44022200-2-2-2-2-22-222-10000006-611-1-33-330000000000000000000000000000000000000000000000000000000
χ1028-8-88-4-4-4444-444-4-44022200-2-2-2-2-22-222-1000000-6611-13-33-30000000000000000000000000000000000000000000000000000000

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