Finite Group Databasebeta

← Group #13172302

Character table — Group #13172302

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size111122222222222244444444444444488888888888888881212121212121212121212121212242424242424242424242424242424242424242436363636363636363636363636367272108108
order122233366666666623336666666666636666666666666662244446666121212126666661212121212121212121212121212224444666612121212121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-11-1111111-1-111111111-1-1-111111-1-1-1-11-11-1-1-1-1-111-1-1-1-11-1-1-1
χ3111111111111111111111111111111111111111111111111-111-1111-1-1-1-1111-111-1-11-1111111-1-11111-1-1-111-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111111111111111-11-1-1-111-1-1-1-1-1-11-111-1-11-1-1-1-1111-1-1-1-1-1-1-11-1-1-1111-1-1-1-1-1-1-1111
χ511111111111111111111111111111111111111111111111-11-1111-1-1111111-11-1-111-11111-1-1-1111111-11-1-1-1111-1-1-1-1-1-1-11-1-1
χ611111111111111111111111111111111111111111111111-11-1-11-1-1-11111-1-1-11-1-111-11-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1-11111-1-111
χ711111111111111111111111111111111111111111111111-1-1-11-11-1-1-1-1-1-111-1-1-1-1-1-1-1-1111-1-1-1-1-111111-11-1-1-1-1-111-1-1-1-11-111
χ811111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1
χ91111111111111111-1111-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-111-11-1-11111-1-1-1-1111111-1-11-11-1-1-1-1-111-1-111-11-1-1111111-1-1-1-1-11
χ101111111111111111-1111-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-111111-1-111111111-1-1-11-1-1-1-1-1-1-1-1111-1-1-111-1-111-1-111-111-1
χ111111111111111111-1111-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-11-1-111-111-1-111-1-11-111-1-1-111-11-1-1-11111-1-1-1-111-11-1-1-1-111-1-1111-1
χ121111111111111111-1111-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-11-1-1-11111-1-111111-111-1-1-11-11-1-1-1-111-1-111-111-11-111-1-1-1-1111-1-11
χ131111111111111111-1111-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1111-1-1-1-111-1-1-1-1-11-1-1111-11-11111-1-111-1-1-111-11-111-1-1-1-1111-11-1
χ141111111111111111-1111-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-1-111-1-11-1-111-1-111-11-1-1111-1-11-1111-1-1-1-111-1-111-11-1-1-1-111-1-111-11
χ151111111111111111-1111-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1111-1-1-1-1-111-1-1-1-1-1-1-1-1111-111111111-1-11-1-1-111-1-111-1-111-11-11
χ161111111111111111-1111-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-11-111-1-1-1-11111-1-1-1-1-1-111-11-111111-1-11111-11-1-1111111-1-1-1-11-1
χ17222222-1222-1-12-12222-1-1222-1-1-1-122-1-1-12-122-1-1-1-1-1-1-1-1-1-1-1222020-1-1-1-1220022-1-1-1-1-1-10002-1-1-1-1000020200000-1-10000-1000
χ18222222-1222-1-12-12222-1-1222-1-1-1-122-1-1-12-122-1-1-1-1-1-1-1-1-1-1-12-220-20-1-111-2-2002-2-1-111-110002-1-1110000-20-2000001100001000
χ19222222-1222-1-12-12222-1-1222-1-1-1-122-1-1-12-122-1-1-1-1-1-1-1-1-1-1-1-22-202011-1-12200-2211-1-11-1000-211-1-10000-20-2000001100001000
χ20222222-1222-1-12-12222-1-1222-1-1-1-122-1-1-12-122-1-1-1-1-1-1-1-1-1-1-1-2-2-20-201111-2-200-2-2111111000-21111000020200000-1-10000-1000
χ21222222-1222-1-12-122-22-1-1-2-22-1-1-1-122-1-1-1-21-2-21111-1-1-1111122-20-20-1-1-1-1-2-20022-1-1-1-111000-21111000020-200000-1-100001000
χ22222222-1222-1-12-122-22-1-1-2-22-1-1-1-122-1-1-1-21-2-21111-1-1-111112-2-2020-1-11122002-2-1-1111-1000-211-1-10000-20200000110000-1000
χ23222222-1222-1-12-122-22-1-1-2-22-1-1-1-122-1-1-1-21-2-21111-1-1-11111-2220-2011-1-1-2-200-2211-1-1-110002-1-1110000-20200000110000-1000
χ24222222-1222-1-12-122-22-1-1-2-22-1-1-1-122-1-1-1-21-2-21111-1-1-11111-2-2202011112200-2-21111-1-10002-1-1-1-1000020-200000-1-100001000
χ2522222-12-12222-12-122-12-122-122-1-1-1-12-1-1-12-1-122-1-1-1-1-1-1-1-1-10202220022-1-1-1-10-100-1-10222-1000-1-1-1-1-1-1020002-1-10000000-100
χ2622222-12-12222-12-122-12-122-122-1-1-1-12-1-1-12-1-122-1-1-1-1-1-1-1-1-1020-22-20022-1-1110-100-1-102-2-21000-1-111110-2000-2110000000100
χ2722222-12-12222-12-122-12-122-122-1-1-1-12-1-1-12-1-122-1-1-1-1-1-1-1-1-10-202-2200-2-211-1-10100110-222-100011-1-1-1-10-2000-2110000000100
χ2822222-12-12222-12-122-12-122-122-1-1-1-12-1-1-12-1-122-1-1-1-1-1-1-1-1-10-20-2-2-200-2-211110100110-2-2-21000111111020002-1-10000000-100
χ2922222-12-12222-12-12-2-12-1-2-2-122-1-1-1-12-1-11-211-2-211-1-1-111110202-2-2002211110-100-1-10-22-2-100011-1-11102000-2-1-10000000100
χ3022222-12-12222-12-12-2-12-1-2-2-122-1-1-1-12-1-11-211-2-211-1-1-11111020-2-22002211-1-10-100-1-10-2-2210001111-1-10-20002110000000-100
χ3122222-12-12222-12-12-2-12-1-2-2-122-1-1-1-12-1-11-211-2-211-1-1-111110-2022-200-2-2-1-111010011022-2-1000-1-1-1-1110-20002110000000-100
χ3222222-12-12222-12-12-2-12-1-2-2-122-1-1-1-12-1-11-211-2-211-1-1-111110-20-22200-2-2-1-1-1-101001102-221000-1-111-1-102000-2-1-10000000100
χ332222-1222-1-122222-12-1-12-1-1-1-1-122-1-1-12-122-1-1-1-122-1-1-1-1-1-1-120220222000022-10-1-10020-1-12-1-1-100-1-1-1-10002200000-1-1-1-10000
χ342222-1222-1-122222-12-1-12-1-1-1-1-122-1-1-12-122-1-1-1-122-1-1-1-1-1-1-1202-20-2220000-2-2-10-1-1002011-2-1-1-1001111000-2-20000011110000
χ352222-1222-1-122222-12-1-12-1-1-1-1-122-1-1-12-122-1-1-1-122-1-1-1-1-1-1-1-20-2202-2-2000022101100-20-1-1211100-1-1-1-1000-2-20000011110000
χ362222-1222-1-122222-12-1-12-1-1-1-1-122-1-1-12-122-1-1-1-122-1-1-1-1-1-1-1-20-2-20-2-2-20000-2-2101100-2011-21110011110002200000-1-1-1-10000
χ372222-1222-1-122222-1-2-1-1211-1-1-122-1-1-12-1-2-21111-2-2-1-1-1111120-220-2220000-2-2-10-1-100-20-11211100-1-1110002-200000-1-1110000
χ382222-1222-1-122222-1-2-1-1211-1-1-122-1-1-12-1-2-21111-2-2-1-1-1111120-2-20222000022-10-1-100-201-1-21110011-1-1000-220000011-1-10000
χ392222-1222-1-122222-1-2-1-1211-1-1-122-1-1-12-1-2-21111-2-2-1-1-11111-20220-2-2-20000-2-210110020-112-1-1-100-1-111000-220000011-1-10000
χ402222-1222-1-122222-1-2-1-1211-1-1-122-1-1-12-1-2-21111-2-2-1-1-11111-202-202-2-2000022101100201-1-2-1-1-10011-1-10002-200000-1-1110000
χ4144444-2-2-244-2-2-2-2-244-2-2144-2-2-211-2-2-211-2-2-2-2-2-211111111104004000-2-2-2-2000-200110-2000000110000000000000000000000
χ4244444-2-2-244-2-2-2-2-244-2-2144-2-2-211-2-2-211-2-2-2-2-2-21111111110-400-40002222000200-1-102000000-1-10000000000000000000000
χ4344444-2-2-244-2-2-2-2-24-4-2-21-4-4-2-2-211-2-2-211222222-1-1111-1-1-1-10400-4000-2-222000-2001102000000-1-10000000000000000000000
χ4444444-2-2-244-2-2-2-2-24-4-2-21-4-4-2-2-211-2-2-211222222-1-1111-1-1-1-10-400400022-2-2000200-1-10-2000000110000000000000000000000
χ454444-24-24-2-2-2-24-24-24-21-2-2-2-211-2-2-2-21-214-2-2-211-2-21111111404000-2-2000000-201100-20000-211000000000000000000000000
χ464444-24-24-2-2-2-24-24-24-21-2-2-2-211-2-2-2-21-214-2-2-211-2-21111111-40-40002200000020-1-100200002-1-1000000000000000000000000
χ474444-24-24-2-2-2-24-24-2-4-21-222-211-2-2-2-21-21-4222-1-122111-1-1-1-140-4000-2-2000000-201100200002-1-1000000000000000000000000
χ484444-24-24-2-2-2-24-24-2-4-21-222-211-2-2-2-21-21-4222-1-122111-1-1-1-1-4040002200000020-1-100-20000-211000000000000000000000000
χ494444-2-24-2-2-244-24-2-241-2-2-2-21-2-2-2-211-2-21-2411-2-2-2-21111111000404000000-2-200000000-2-2-2000001111000000000000000000
χ504444-2-24-2-2-244-24-2-241-2-2-2-21-2-2-2-211-2-21-2411-2-2-2-21111111000-40-4000000220000000022200000-1-1-1-1000000000000000000
χ514444-2-24-2-2-244-24-2-2-41-2-2221-2-2-2-211-2-212-4-1-12222111-1-1-1-100040-40000002200000000-22-20000011-1-1000000000000000000
χ524444-2-24-2-2-244-24-2-2-41-2-2221-2-2-2-211-2-212-4-1-12222111-1-1-1-1000-404000000-2-2000000002-2200000-1-111000000000000000000
χ5344-4-44444-4-44-4-4-4-440444004-4-44-4-4-44-44000000004-4-400000000000000000000000000000000000000000000000000000000
χ5444-4-444-24-4-4-22-42-4404-2-200422-22-4-4-22-200000000-2220000000000−2i32i300000000−2i32i30000000000000000000000000000000000
χ5544-4-444-24-4-4-22-42-4404-2-200422-22-4-4-22-200000000-22200000000002i3−2i3000000002i3−2i30000000000000000000000000000000000
χ5644-4-44-24-2-4-44-42-4240-24-200-2-4-4-222242-200000000-222000000000000000023−2300000000000000000023−23000000000000000000
χ5744-4-44-24-2-4-44-42-4240-24-200-2-4-4-222242-200000000-2220000000000000000−2323000000000000000000−2323000000000000000000
χ5844-4-4-2444224-4-4-4-4-20-2-24−2i32i3-2224-422-2-4-200−2i32i3−2i32i300-222−2i3−2i32i32i30000000000000000000000000000000000000000000000000000
χ5944-4-4-2444224-4-4-4-4-20-2-242i3−2i3-2224-422-2-4-2002i3−2i32i3−2i300-2222i32i3−2i3−2i30000000000000000000000000000000000000000000000000000
χ6044-4-4-24-2422-22-42-4-20-21-2−2i32i3-2-1-1-222212100−2i32i3i3−i3001-1-1i3i3−i3−i3000000−2i32i300000000i3−i3000000003-3000000000000000000000000
χ6144-4-4-24-2422-22-42-4-20-21-2−2i32i3-2-1-1-222212100−2i32i3i3−i3001-1-1i3i3−i3−i30000002i3−2i300000000−i3i300000000-33000000000000000000000000
χ6244-4-4-24-2422-22-42-4-20-21-22i3−2i3-2-1-1-2222121002i3−2i3−i3i3001-1-1−i3−i3i3i3000000−2i32i300000000i3−i300000000-33000000000000000000000000
χ6344-4-4-24-2422-22-42-4-20-21-22i3−2i3-2-1-1-2222121002i3−2i3−i3i3001-1-1−i3−i3i3i30000002i3−2i300000000−i3i3000000003-3000000000000000000000000
χ6444-4-4-2-24-2224-42-42-201-2-2−2i32i3122-22-1-1-22100i3−i3−2i32i3001-1-1i3i3−i3−i300000000000023−2300000000000000003i−3i−33000000000000000000
χ6544-4-4-2-24-2224-42-42-201-2-2−2i32i3122-22-1-1-22100i3−i3−2i32i3001-1-1i3i3−i3−i3000000000000−23230000000000000000−3i3i3−3000000000000000000
χ6644-4-4-2-24-2224-42-42-201-2-22i3−2i3122-22-1-1-22100−i3i32i3−2i3001-1-1−i3−i3i3i300000000000023−230000000000000000−3i3i−33000000000000000000
χ6744-4-4-2-24-2224-42-42-201-2-22i3−2i3122-22-1-1-22100−i3i32i3−2i3001-1-1−i3−i3i3i3000000000000−232300000000000000003i−3i3−3000000000000000000
χ684-44-4444-44-4-4-4-444-4044400-44-4-444-4-4-4400000000-44-400000000000000000000000000000000000000000000000000000000
χ694-44-444-2-44-422-4-24-404-2-200-4-222-24-422-2000000002-220000000000000000000000000000000000000000000000−2i32i300000000
χ704-44-444-2-44-422-4-24-404-2-200-4-222-24-422-2000000002-2200000000000000000000000000000000000000000000002i3−2i300000000
χ714-44-44-2424-4-4-424-2-40-24-20024-42-2-22-42-2000000002-2200000000000000000000000000000000000000000000−2i32i30000000000
χ724-44-44-2424-4-4-424-2-40-24-20024-42-2-22-42-2000000002-22000000000000000000000000000000000000000000002i3−2i30000000000
χ734-44-4-244-4-22-4-4-44420-2-24002-22-44-222-4-2000000002-220000000000000000000000000000000000000000000000000023−230000
χ744-44-4-244-4-22-4-4-44420-2-24002-22-44-222-4-2000000002-2200000000000000000000000000000000000000000000000000−23230000
χ754-4-44444-4-44-444-4-4-4044400-4-44-4-4-44-44400000000-4-4400000000000000000000000000000000000000000000000000000000
χ764-4-4444-2-4-442-242-4-404-2-200-42-222-442-2-20000000022-2000000000000−2i32i300000000−2i32i300000000000000000000000000000000
χ774-4-4444-2-4-442-242-4-404-2-200-42-222-442-2-20000000022-20000000000002i3−2i3000000002i3−2i300000000000000000000000000000000
χ784-4-444-242-44-44-2-42-40-24-2002-44222-2-4-2-20000000022-200000000000000−2i32i30000000000000000−2i32i30000000000000000000000
χ794-4-444-242-44-44-2-42-40-24-2002-44222-2-4-2-20000000022-2000000000000002i3−2i300000000000000002i3−2i30000000000000000000000
χ804-4-444-2-22-442-2-222-40-2-210022-2-1-12-22110000003-3-1-113-33-300000000−2i32i3−2i32i3000000i3−i300000000i3−i30000000000000000000000
χ814-4-444-2-22-442-2-222-40-2-210022-2-1-12-22110000003-3-1-113-33-3000000002i3−2i32i3−2i3000000−i3i300000000−i3i30000000000000000000000
χ824-4-444-2-22-442-2-222-40-2-210022-2-1-12-2211000000-33-1-11-33-3300000000−2i32i32i3−2i3000000i3−i300000000−i3i30000000000000000000000
χ834-4-444-2-22-442-2-222-40-2-210022-2-1-12-2211000000-33-1-11-33-33000000002i3−2i3−2i32i3000000−i3i300000000i3−i30000000000000000000000
χ844-4-44-244-42-2-444-4-420-2-240022-2-4-42-224-20000000022-200000000000000000000000000000000000000000000000023−23000000
χ854-4-44-244-42-2-444-4-420-2-240022-2-4-42-224-20000000022-2000000000000000000000000000000000000000000000000−2323000000
χ868888-4-4-4-4-4-4-4-4-4-4-4-48222-4-4222222222-1-4-4222222-1-1-1-1-1-1-10000000000000000000000000000000000000000000000000000
χ878888-4-4-4-4-4-4-4-4-4-4-4-4-822244222222222-144-2-2-2-2-2-2-1-1-111110000000000000000000000000000000000000000000000000000
χ8888-8-88-4-4-4-8-8-4444480-4-4200-4442-244-4-22000000002-2-200000000000000000000000000000000000000000000000000000000
χ8988-8-8-4-4-4-444-44444-40222−4i34i32-2-22-2-2-22-2-1002i3−2i32i3−2i300-111−i3−i3i3i30000000000000000000000000000000000000000000000000000
χ9088-8-8-4-4-4-444-44444-402224i3−4i32-2-22-2-2-22-2-100−2i32i3−2i32i300-111i3i3−i3−i30000000000000000000000000000000000000000000000000000
χ918-88-88-4-448-8444-4-4-80-4-42004-44-22-444-2200000000-22-200000000000000000000000000000000000000000000000000000000
χ928-88-8-48-4-8-4444-8-4840-42-40042-24-4-44-24200000000-22-200000000000000000000000000000000000000000000000000000000
χ938-88-8-4-484-44-8-848-4402-4-400-2-444-42-244200000000-22-200000000000000000000000000000000000000000000000000000000
χ948-88-8-4-4-44-44444-4-44022200-22-2-222-2-2-2-1000000001-11−3i33i33i3−3i30000000000000000000000000000000000000000000000000000
χ958-88-8-4-4-44-44444-4-44022200-22-2-222-2-2-2-1000000001-113i3−3i3−3i33i30000000000000000000000000000000000000000000000000000
χ968-8-88-48-4-84-44-484-840-42-4004-22444-4-2-4200000000-2-2200000000000000000000000000000000000000000000000000000000
χ978-8-88-4-4844-4-88-4-84402-4-400-24-444-224-4200000000-2-2200000000000000000000000000000000000000000000000000000000
χ988-8-88-4-4-444-44-4-4444022200-2-22-2-2-22-22-10000006-611-1-33-330000000000000000000000000000000000000000000000000000
χ998-8-88-4-4-444-44-4-4444022200-2-22-2-2-22-22-1000000-6611-13-33-30000000000000000000000000000000000000000000000000000

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