Finite Group Databasebeta

← Group #13172359

Character table — Group #13172359

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size111122222222222244444444444444488888888888888881212121212121212121212121212242424242424242424242424242424242424242436363636363636363636363636367272108108
order122233366666666623336666666666636666666666666662444441212121212121212666612121212121212121212121212121212224444666612121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111-1-111-1-111-1-11111111-1-11111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1
χ3111111111111111111111111111111111111111111111111-11-1111111-1-1111111-1-1-111111-1-1-1-111111-1-1-11-1-1-111-1-1-1-11-1-1-1
χ4111111111111111111111111111111111111111111111111-11-1-1-111-1-1-1-1-1-11111-1-1-1-1-1111-1-1-1-1-1-1-1-1-11-1-1-1111-1-1-1-1-1-1-1111
χ511111111111111111111111111111111111111111111111-11-1111-1-1111111-1-1-1-111111-1-1-111111111-11-1-1-1111-1-1-1-1-1-1-11-1-1
χ611111111111111111111111111111111111111111111111-11-11-1-1-1-1-1-111-1-1-1-1-1-1111-1-1-1-1-11111-1-1-1-11-1-1-11-1-1-111-1-1-1-11-111
χ711111111111111111111111111111111111111111111111-1-1-1-111-1-111-1-111-1-1-1-1-1-1-111-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111-1-111
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
χ91111111111111111-1111-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-111-1-11-1-1-111-1-1-1-1111111-11-1-1-1-111-1-111-1-1-111-11-111-1-111-1-11-11-1
χ101111111111111111-1111-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-11-1-1-1-1-1-111111111-1-11-1-1-111-1-1-1-1111-11-1-11-1-11111-1-1-11-11
χ111111111111111111-1111-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-11-1-111-1-1-11111-1-11111-1-111-1-1-1-1-1-11111-1-1-1-1-1111-1-1-1-1-1-11111-11
χ121111111111111111-1111-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-11-1-11-11-1-1-1-111111111-1-11-11-1-1-1-1-111-1-11111-11-1-11111-1-111-1-11-1
χ131111111111111111-1111-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-1-111-11-11111-1-1-1-1-1-1-1-111-11-111111-1-111-1-111-11-1-11111-1-111-1-1-11
χ141111111111111111-1111-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-1-111-1-1111-1-1-1-111-1-1-1-111-1-1111111-1-1-1-111-1-1-1111-1-1-1-1-1-111111-1
χ151111111111111111-1111-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1111-1111111-1-1-1-1-1-1-1-111-1111-1-11111-1-11-11-1-11-1-11111-1-1-111-1
χ161111111111111111-1111-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-111-1111-1-11111-1-1-1-1-1-11-11111-1-111-1-111-111-11-111-1-111-1-11-1-11
χ17222222-1-12222-1-12222-1-1222-1-1-122-1-1-1-12-122-1-1-1-1-1-1-1-1-1-1-1202022-1-1-1-100222-1-1-10002-12-1-10000-1-1-1-120002000-1-10000-1000
χ18222222-1-12222-1-12222-1-1222-1-1-122-1-1-1-12-122-1-1-1-1-1-1-1-1-1-1-12020-2-2-1-11100-2-22-1-1-1000-212-1-100001111-2000-20001100001000
χ19222222-1-12222-1-12222-1-1222-1-1-122-1-1-1-12-122-1-1-1-1-1-1-1-1-1-1-1-20-202211-1-10022-21110002-1-2110000-1-1-1-1-2000-20001100001000
χ20222222-1-12222-1-12222-1-1222-1-1-122-1-1-1-12-122-1-1-1-1-1-1-1-1-1-1-1-20-20-2-2111100-2-2-2111000-21-2110000111120002000-1-10000-1000
χ21222222-1-12222-1-122-22-1-1-2-22-1-1-122-1-1-1-1-21-2-21111-1-1-1111120-202-211-1-100-2-22-1-1-100021-2110000-1-111-20002000110000-1000
χ22222222-1-12222-1-122-22-1-1-2-22-1-1-122-1-1-1-1-21-2-21111-1-1-1111120-20-22111100222-1-1-1000-2-1-211000011-1-12000-2000-1-100001000
χ23222222-1-12222-1-122-22-1-1-2-22-1-1-122-1-1-1-1-21-2-21111-1-1-11111-20202-2-1-1-1-100-2-2-2111000212-1-10000-1-1112000-2000-1-100001000
χ24222222-1-12222-1-122-22-1-1-2-22-1-1-122-1-1-1-1-21-2-21111-1-1-11111-2020-22-1-1110022-2111000-2-12-1-1000011-1-1-20002000110000-1000
χ2522222-12222-1-122-122-1-1222-1-122-1-1-1-12-1-12-1-1-1-122-1-1-1-1-1-1-10202220022-1-1-1-100002-12-12000-1-1-1-1-1-1-1-1020002-1-10000000-100
χ2622222-12222-1-122-122-1-1222-1-122-1-1-1-12-1-12-1-1-1-122-1-1-1-1-1-1-10202-2-200-2-2-1-11100002-121-2000-1-1-1-111110-2000-2110000000100
χ2722222-12222-1-122-122-1-1222-1-122-1-1-1-12-1-12-1-1-1-122-1-1-1-1-1-1-10-20-222002211-1-10000-21-2-120001111-1-1-1-10-2000-2110000000100
χ2822222-12222-1-122-122-1-1222-1-122-1-1-1-12-1-12-1-1-1-122-1-1-1-1-1-1-10-20-2-2-200-2-211110000-21-21-200011111111020002-1-10000000-100
χ2922222-12222-1-122-12-2-1-12-2-2-1-122-1-1-1-12-11-21111-2-2-1-1-11111020-22-20022111100002-1-2-1-2000-1-111-1-11102000-2-1-10000000100
χ3022222-12222-1-122-12-2-1-12-2-2-1-122-1-1-1-12-11-21111-2-2-1-1-11111020-2-2200-2-211-1-100002-1-212000-1-11111-1-10-20002110000000-100
χ3122222-12222-1-122-12-2-1-12-2-2-1-122-1-1-1-12-11-21111-2-2-1-1-111110-2022-20022-1-1110000-212-1-200011-1-1-1-1110-20002110000000-100
χ3222222-12222-1-122-12-2-1-12-2-2-1-122-1-1-1-12-11-21111-2-2-1-1-111110-202-2200-2-2-1-1-1-10000-2121200011-1-111-1-102000-2-1-10000000100
χ332222-1222-1-122222-12-12-1-1-1-12-1-1-1-122-1-122-1-122-1-1-1-1-1-1-1-1-122220022002200-12-1-1-12-100-1-1-1-1-1-1-100000022000000-1-1-1-10000
χ342222-1222-1-122222-12-12-1-1-1-12-1-1-1-122-1-122-1-122-1-1-1-1-1-1-1-1-12-22-2002200-2-200-12-1-11-2100-1-1-11111000000-2-200000011110000
χ352222-1222-1-122222-12-12-1-1-1-12-1-1-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-22-2200-2-20022001-211-12-100111-1-1-1-1000000-2-200000011110000
χ362222-1222-1-122222-12-12-1-1-1-12-1-1-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-2-2-2-200-2-200-2-2001-2111-2100111111100000022000000-1-1-1-10000
χ372222-1222-1-122222-1-2-12-111-12-1-1-1-122-1-1-2-211-2-211-1-1-1111122-2-200-2-200-2-200-12-1-1-12100111-1-1110000002-2000000-1-1110000
χ382222-1222-1-122222-1-2-12-111-12-1-1-1-122-1-1-2-211-2-211-1-1-111112-2-2200-2-2002200-12-1-11-2-10011111-1-1000000-2200000011-1-10000
χ392222-1222-1-122222-1-2-12-111-12-1-1-1-122-1-1-2-211-2-211-1-1-11111-222-2002200-2-2001-211-12100-1-1-1-1-111000000-2200000011-1-10000
χ402222-1222-1-122222-1-2-12-111-12-1-1-1-122-1-1-2-211-2-211-1-1-11111-2-22200220022001-2111-2-100-1-1-111-1-10000002-2000000-1-1110000
χ4144444-2-2-244-2-2-2-2-244-21-244-21-2-2-2-211-21-2-2-2-211-2-2111111100004400-2-200-2-20000000-2-200000001111000000000000000000
χ4244444-2-2-244-2-2-2-2-244-21-244-21-2-2-2-211-21-2-2-2-211-2-211111110000-4-4002200220000000220000000-1-1-1-1000000000000000000
χ4344444-2-2-244-2-2-2-2-24-4-21-2-4-4-21-2-2-2-211-212222-1-122111-1-1-1-100004-400-2-200220000000-22000000011-1-1000000000000000000
χ4444444-2-2-244-2-2-2-2-24-4-21-2-4-4-21-2-2-2-211-212222-1-122111-1-1-1-10000-44002200-2-200000002-20000000-1-111000000000000000000
χ454444-24-2-2-2-244-2-24-24-2-21-2-2-2-211-2-2-2-2114-2-2-2-2-2111111111404000-2-2000000-2-21100000-21100000000000000000000000000
χ464444-24-2-2-2-244-2-24-24-2-21-2-2-2-211-2-2-2-2114-2-2-2-2-2111111111-40-40002200000022-1-1000002-1-100000000000000000000000000
χ474444-24-2-2-2-244-2-24-2-4-2-2122-2-211-2-2-2-211-422222-1-1111-1-1-1-140-400022000000-2-211000002-1-100000000000000000000000000
χ484444-24-2-2-2-244-2-24-2-4-2-2122-2-211-2-2-2-211-422222-1-1111-1-1-1-1-404000-2-200000022-1-100000-21100000000000000000000000000
χ494444-2-244-2-2-2-244-2-241-2-2-2-21-2-2-211-2-2-21-2411-2-2-2-211111110404000000-2-2000000-2-2-20000011110000000000000000000000
χ504444-2-244-2-2-2-244-2-241-2-2-2-21-2-2-211-2-2-21-2411-2-2-2-211111110-40-40000002200000022200000-1-1-1-10000000000000000000000
χ514444-2-244-2-2-2-244-2-2-41-2-2221-2-2-211-2-2-212-4-1-12222111-1-1-1-1040-400000022000000-2-220000011-1-10000000000000000000000
χ524444-2-244-2-2-2-244-2-2-41-2-2221-2-2-211-2-2-212-4-1-12222111-1-1-1-10-404000000-2-200000022-200000-1-1110000000000000000000000
χ5344-4-444444-44-4-4-4-4-4044400-444-44-4-4-4-44000000004-4-400000000000000000000000000000000000000000000000000000000
χ5444-4-444-2-24-44-422-4-404-2-200-4-2-224-4222-200000000-22200000000000023−230000000000000000000023−2300000000000000000000
χ5544-4-444-2-24-44-422-4-404-2-200-4-2-224-4222-200000000-222000000000000−232300000000000000000000−232300000000000000000000
χ5644-4-44-2444-4-22-4-42-40-2-24002-24-4-2222-4-200000000-222000000000000000023−2300000000000000000023−23000000000000000000
χ5744-4-44-2444-4-22-4-42-40-2-24002-24-4-2222-4-200000000-2220000000000000000−2323000000000000000000−2323000000000000000000
χ5844-4-44-2-2-24-4-22222-40-21-20021-22-22-1-12100003-3001-1-133-3-30000000023−230023−230000000000000000−33−33000000000000000000
χ5944-4-44-2-2-24-4-22222-40-21-20021-22-22-1-12100003-3001-1-133-3-300000000−232300−232300000000000000003−33−3000000000000000000
χ6044-4-44-2-2-24-4-22222-40-21-20021-22-22-1-1210000-33001-1-1-3-3330000000023−2300−23230000000000000000−333−3000000000000000000
χ6144-4-44-2-2-24-4-22222-40-21-20021-22-22-1-1210000-33001-1-1-3-33300000000−23230023−2300000000000000003−3−33000000000000000000
χ6244-4-4-2444-224-4-4-4-420-24-20024-22-22-4-42-200000000-2220000000000000000000000000000000000000000000000000023−230000
χ6344-4-4-2444-224-4-4-4-420-24-20024-22-22-4-42-200000000-22200000000000000000000000000000000000000000000000000−23230000
χ644-44-4444-4-44-4-4-444-4044400-4-4-44-444-4-4400000000-44-400000000000000000000000000000000000000000000000000000000
χ654-44-444-22-44-4-42-24-404-2-200-422-2-44-222-2000000002-220000000000000000000000000000000000000000000000−2i32i300000000
χ664-44-444-22-44-4-42-24-404-2-200-422-2-44-222-2000000002-2200000000000000000000000000000000000000000000002i3−2i300000000
χ674-44-44-24-4-4422-44-2-40-2-240022-442-2-22-4-2000000002-2200000000000000000000000000000000000000000000−2i32i30000000000
χ684-44-44-24-4-4422-44-2-40-2-240022-442-2-22-4-2000000002-22000000000000000000000000000000000000000000002i3−2i30000000000
χ694-44-4-244-42-2-4-4-44420-24-2002-42-22-24-42-2000000002-2200000000000000000000000000000000000000000000000023−23000000
χ704-44-4-244-42-2-4-4-44420-24-2002-42-22-24-42-2000000002-22000000000000000000000000000000000000000000000000−2323000000
χ714-4-44444-4-4-4-444-4-440444004-4-4-4-4-4-444400000000-4-4400000000000000000000000000000000000000000000000000000000
χ724-4-4444-22-4-4-44-22-4404-2-2004222-4-42-2-2-20000000022-20000000000−2i32i30000000000000000−2i32i300000000000000000000000000
χ734-4-4444-22-4-4-44-22-4404-2-2004222-4-42-2-2-20000000022-200000000002i3−2i300000000000000002i3−2i300000000000000000000000000
χ744-4-444-24-4-4-42-24-4240-2-2400-22-4-4222-24-20000000022-20000000000000023−23000000000000000023−230000000000000000000000
χ754-4-444-24-4-4-42-24-4240-2-2400-22-4-4222-24-20000000022-200000000000000−23230000000000000000−23230000000000000000000000
χ764-4-44-244-422-444-4-4-20-24-2−2i32i3-2-42222-44-2-200−2i32i300−2i32i322-2−2i32i3−2i32i30000000000000000000000000000000000000000000000000000
χ774-4-44-244-422-444-4-4-20-24-22i3−2i3-2-42222-44-2-2002i3−2i3002i3−2i322-22i3−2i32i3−2i30000000000000000000000000000000000000000000000000000
χ784-4-44-24-2222-44-22-4-20-2-21−2i32i3-22-1-1222-21100−2i32i300i3−i3-1-11i3−i3i3−i3000000−2i32i3000000003-3000000i3−i300000000000000000000000000
χ794-4-44-24-2222-44-22-4-20-2-21−2i32i3-22-1-1222-21100−2i32i300i3−i3-1-11i3−i3i3−i30000002i3−2i300000000-33000000−i3i300000000000000000000000000
χ804-4-44-24-2222-44-22-4-20-2-212i3−2i3-22-1-1222-211002i3−2i300−i3i3-1-11−i3i3−i3i3000000−2i32i300000000-33000000i3−i300000000000000000000000000
χ814-4-44-24-2222-44-22-4-20-2-212i3−2i3-22-1-1222-211002i3−2i300−i3i3-1-11−i3i3−i3i30000002i3−2i3000000003-3000000−i3i300000000000000000000000000
χ824-4-44-2-24-4222-24-42-201-2-2−2i32i31222-1-12-2-2100i3−i300−2i32i3-1-11i3−i3i3−i3000000000023−23000000000000003i−3i−330000000000000000000000
χ834-4-44-2-24-4222-24-42-201-2-2−2i32i31222-1-12-2-2100i3−i300−2i32i3-1-11i3−i3i3−i30000000000−232300000000000000−3i3i3−30000000000000000000000
χ844-4-44-2-24-4222-24-42-201-2-22i3−2i31222-1-12-2-2100−i3i3002i3−2i3-1-11−i3i3−i3i3000000000023−2300000000000000−3i3i−330000000000000000000000
χ854-4-44-2-24-4222-24-42-201-2-22i3−2i31222-1-12-2-2100−i3i3002i3−2i3-1-11−i3i3−i3i30000000000−2323000000000000003i−3i3−30000000000000000000000
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
χ8888-8-8-48-4-4-448-844-840-4-42004-42-2-4444-22000000002-2-200000000000000000000000000000000000000000000000000000000
χ8988-8-8-4-488-44-44-8-84402-4-400-2-4-442-24442000000002-2-200000000000000000000000000000000000000000000000000000000
χ9088-8-8-4-4-4-4-44-444444022200-222-22-2-2-2-2-100006-600-111-3-3330000000000000000000000000000000000000000000000000000
χ9188-8-8-4-4-4-4-44-444444022200-222-22-2-2-2-2-10000-6600-11133-3-30000000000000000000000000000000000000000000000000000
χ928-88-88-4-44-88444-4-4-80-42-4004-24-44-42-24200000000-22-200000000000000000000000000000000000000000000000000000000
χ938-88-8-48-444-4-8-84-4840-4-420044-224-4-44-2200000000-22-200000000000000000000000000000000000000000000000000000000
χ948-88-8-4-48-84-444-88-4402-4-400-244-4-22-444200000000-22-200000000000000000000000000000000000000000000000000000000
χ958-88-8-4-4-444-4444-4-44022200-2-2-22-222-2-2-1000000001-11−3i33i33i3−3i30000000000000000000000000000000000000000000000000000
χ968-88-8-4-4-444-4444-4-44022200-2-2-22-222-2-2-1000000001-113i3−3i3−3i33i30000000000000000000000000000000000000000000000000000
χ978-8-888-4-44-8-84-4-44480-42-400-4-24444-22-4200000000-2-2200000000000000000000000000000000000000000000000000000000
χ988-8-88-4-4-44444-4-444-40222−4i34i32-2-2-2-2-2-222-1002i3−2i3002i3−2i311-1−i3i3−i3i30000000000000000000000000000000000000000000000000000
χ998-8-88-4-4-44444-4-444-402224i3−4i32-2-2-2-2-2-222-100−2i32i300−2i32i311-1i3−i3i3−i30000000000000000000000000000000000000000000000000000

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