Finite Group Databasebeta

← Group #13172293

Character table — Group #13172293

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size1111222222222222444444444444488888888888888888121212121212121212121212121212121212242424242424242424242424242424242424363636363636363636363636727272108108
order122233366666666623336666666663666666666666666622244466666612121212121266666666612121212121212121222444466121212126121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-111-11111-1-111-1-11111-11111-1-11-111111-1-1-1-111-1-1-1-1-1-111-1-11-1-1
χ311111111111111111111111111111111111111111111111-111-1111-1-1111111-1-1-11111-1-111-11111-1-1111-1-1-11-1-1-111-1-11-1-1-1-1
χ411111111111111111111111111111111111111111111111-1-11-1-111-1-1-1-111-1-1-1-1-11-111-1-1-1-1-1-1111-1-1-1-1-11-1-1-1111-1-1-1-1-11-111
χ51111111111111111111111111111111111111111111111-111-111-1-11111-1-111111-11-1-1111111-1-1-11111-11-1-1-1111-1-1-1-1-11-1-1-1
χ61111111111111111111111111111111111111111111111-11-1-11-1-1-111-1-1-1-1-1-1111-1-1-1-111-1-11-1-1-1-111-1-11-1-1-11-1-1-111-1-11-1-111
χ71111111111111111111111111111111111111111111111-1-11-1-11-1-1-1-111-1-111-1-1-1-11-1-1-1-111-11-1-1-1-1-111-1-111-1-1-1-1-1-111-1-1111
χ81111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1
χ91111111111111111-11111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-1111-1-1-1111111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-111-11-11111-1-1-1-111-1
χ101111111111111111-11111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-111111-1-1-1-111-1-111-11111-1-1-11-1-1-1-1-1111-11-1-11-1-1-1-1-1-1111-11
χ111111111111111111-11111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-11-11-11-111-1-111-1-1-1-111-11111-1-1111-1-1-1-111-1-1-1-1-1111-1-11111-11-1-11
χ121111111111111111-11111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-11-1-1-11111-1-1-1-1-1-11111-11-111-1-1-1-111-1-1-1111111-11-1-111-1-1111-1-11-1
χ131111111111111111-11111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1111-1-1-1-1111111-1-1-1-11-11-1-11111-1-1111-1-1-1-111-11-1-111-1-1111-1-1-11
χ141111111111111111-11111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-1-11-11-11-1-111-1-11111-1-11-1-1-1-111-1-1-11111-1-111-1-1-1111-1-11111-11-11-1
χ151111111111111111-11111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1111-1-1-1-1-11111-1-111-1-11-1-1-1-1111-111111-1-11-11-1-11-1-1-1-1-1-11111-1
χ161111111111111111-11111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1111111111-111-11-11111-1-1-1-11-11
χ17222222-1222-1-12-12222-1-122-1-1-1-12-1-1-122-122-1-1-1-1-1-1-1-1-1-1-102202200-1-1-1-100222220200-1-1-1-1-1-1000-1-1-1-1020002-1-100000-1000
χ18222222-1222-1-12-12222-1-122-1-1-1-12-1-1-122-122-1-1-1-1-1-1-1-1-1-1-102-202-200-1-11100-2-22220-200-1-111-11000-1-1110-2000-211000001000
χ19222222-1222-1-12-12222-1-122-1-1-1-12-1-1-122-122-1-1-1-1-1-1-1-1-1-1-10-220-220011-1-10022-2-2-2020011-1-11-100011-1-10-2000-211000001000
χ20222222-1222-1-12-12222-1-122-1-1-1-12-1-1-122-122-1-1-1-1-1-1-1-1-1-1-10-2-20-2-200111100-2-2-2-2-20-2001111110001111020002-1-100000-1000
χ21222222-1222-1-12-122-22-1-122-1-1-1-12-1-1-1-2-21-2-21111-1-1-111110220-2-200-1-1-1-100-2-2-2-220200-1-1-1-111000111102000-2-1-1000001000
χ22222222-1222-1-12-122-22-1-122-1-1-1-12-1-1-1-2-21-2-21111-1-1-1111102-20-2200-1-1110022-2-220-200-1-1111-100011-1-10-200021100000-1000
χ23222222-1222-1-12-122-22-1-122-1-1-1-12-1-1-1-2-21-2-21111-1-1-111110-2202-20011-1-100-2-222-2020011-1-1-11000-1-1110-200021100000-1000
χ24222222-1222-1-12-122-22-1-122-1-1-1-12-1-1-1-2-21-2-21111-1-1-111110-2-2022001111002222-20-2001111-1-1000-1-1-1-102000-2-1-1000001000
χ2522222-122-1-122-12222-12-1-1-122-1-1-12-1-12-12-1-122-1-1-1-1-1-1-1-1-1202202220022-1-1-1-1000-1-1-1-100-1-1022-1-100-1-120002000-1-100-10000
χ2622222-122-1-122-12222-12-1-1-122-1-1-12-1-12-12-1-122-1-1-1-1-1-1-1-1-120-220-22200-2-2-1-111000-11-1-100110-22-1-10011-2000-2000110010000
χ2722222-122-1-122-12222-12-1-1-122-1-1-12-1-12-12-1-122-1-1-1-1-1-1-1-1-1-202-202-2-2002211-1-10001-11100-1-102-21100-1-1-2000-2000110010000
χ2822222-122-1-122-12222-12-1-1-122-1-1-12-1-12-12-1-122-1-1-1-1-1-1-1-1-1-20-2-20-2-2-200-2-21111000111100110-2-211001120002000-1-100-10000
χ2922222-122-1-122-1222-2-12-1-1-122-1-1-12-1-1-21-211-2-211-1-1-11111202-20-22200221111000-1-1-1-100-1-10-2-2110011-20002000-1-10010000
χ3022222-122-1-122-1222-2-12-1-1-122-1-1-12-1-1-21-211-2-211-1-1-1111120-2-2022200-2-211-1-1000-11-1-1001102-21100-1-12000-20001100-10000
χ3122222-122-1-122-1222-2-12-1-1-122-1-1-12-1-1-21-211-2-211-1-1-11111-20220-2-2-20022-1-1110001-11100-1-10-22-1-100112000-20001100-10000
χ3222222-122-1-122-1222-2-12-1-1-122-1-1-12-1-1-21-211-2-211-1-1-11111-20-2202-2-200-2-2-1-1-1-100011110011022-1-100-1-1-20002000-1-10010000
χ332222-122-1222222-1-12-1-12-1-1-1-122-1-12-1-122-1-1-1-122-1-1-1-1-1-1-1220220-1-122002200-1-1-120-1-1-1-10020-1-1-1-1-1000022000000-1-100-100
χ342222-122-1222222-1-12-1-12-1-1-1-122-1-12-1-122-1-1-1-122-1-1-1-1-1-1-12-202-20-1-1-2-200220011120-1-11100-20-1-1-1110000-2-20000001100100
χ352222-122-1222222-1-12-1-12-1-1-1-122-1-12-1-122-1-1-1-122-1-1-1-1-1-1-1-220-220112200-2-200-1-1-1-2011-1-10020111-1-10000-2-20000001100100
χ362222-122-1222222-1-12-1-12-1-1-1-122-1-12-1-122-1-1-1-122-1-1-1-1-1-1-1-2-20-2-2011-2-200-2-200111-20111100-2011111000022000000-1-100-100
χ372222-122-1222222-1-1-2-1-12-1-1-1-122-1-12-11-2-21111-2-2-1-1-11111220-2-20-1-12200-2-20011-120-1-1-1-100-201111100002-20000001100-100
χ382222-122-1222222-1-1-2-1-12-1-1-1-122-1-12-11-2-21111-2-2-1-1-111112-20-220-1-1-2-200-2-200-1-1120-1-1110020111-1-10000-22000000-1-100100
χ392222-122-1222222-1-1-2-1-12-1-1-1-122-1-12-11-2-21111-2-2-1-1-11111-2202-20112200220011-1-2011-1-100-20-1-1-1110000-22000000-1-100100
χ402222-122-1222222-1-1-2-1-12-1-1-1-122-1-12-11-2-21111-2-2-1-1-11111-2-2022011-2-2002200-1-11-2011110020-1-1-1-1-100002-20000001100-100
χ4144444-2-24-2-2-2-2-2-2444-2-21-2-2-2-211-2-2114-2-2-2-2-2-21111111110040040000-2-200-2-20000-20000110-2000001100000000000000000
χ4244444-2-24-2-2-2-2-2-2444-2-21-2-2-2-211-2-2114-2-2-2-2-2-211111111100-400-40000220022000020000-1-10200000-1-100000000000000000
χ4344444-2-24-2-2-2-2-2-244-4-2-21-2-2-2-211-2-211-4222222-1-1111-1-1-1-100400-40000-2-200220000-20000110200000-1-100000000000000000
χ4444444-2-24-2-2-2-2-2-244-4-2-21-2-2-2-211-2-211-4222222-1-1111-1-1-1-100-400400002200-2-2000020000-1-10-2000001100000000000000000
χ454444-24-2-244-2-24-2-2-24-21-2-2-211-2-2-21-21-24-2-2-211-2-2111111104004000-2-2000000-2-2-200001100-20000110000000000000000000
χ464444-24-2-244-2-24-2-2-24-21-2-2-211-2-2-21-21-24-2-2-211-2-211111110-400-4000220000002220000-1-10020000-1-10000000000000000000
χ474444-24-2-244-2-24-2-2-2-4-21-2-2-211-2-2-21-212-4222-1-122111-1-1-1-10400-4000-2-200000022-20000110020000-1-10000000000000000000
χ484444-24-2-244-2-24-2-2-2-4-21-2-2-211-2-2-21-212-4222-1-122111-1-1-1-10-400400022000000-2-220000-1-100-20000110000000000000000000
χ494444-2-24-2-2-244-24-2-241-2-211-2-2-2-21-2-21-2-2411-2-2-2-21111111400400-2-20000-2-200000-2011000000-211000000000000000000000
χ504444-2-24-2-2-244-24-2-241-2-211-2-2-2-21-2-21-2-2411-2-2-2-21111111-400-400220000220000020-1-10000002-1-1000000000000000000000
χ514444-2-24-2-2-244-24-2-2-41-2-211-2-2-2-21-2-2122-4-1-12222111-1-1-1-1400-400-2-200002200000-20110000002-1-1000000000000000000000
χ524444-2-24-2-2-244-24-2-2-41-2-211-2-2-2-21-2-2122-4-1-12222111-1-1-1-1-400400220000-2-20000020-1-1000000-211000000000000000000000
χ5344-4-4444-44-4-4-4-444-40444-4-44-44-44-4-440000000004-4-4000000000000000000000000000000000000000000000000000000000
χ5444-4-444-2-44-422-4-24-404-2-2-4-4-22-22422-2000000000-2220000000000000000000000000000000000000000000000−2i32i3000000000
χ5544-4-444-2-44-422-4-24-404-2-2-4-4-22-22422-2000000000-22200000000000000000000000000000000000000000000002i3−2i3000000000
χ5644-4-44-24-4-22-4-4244-40-24-2224-4-22-2-42-2000000000-2220000000000000000−2i32i30000000000000000−2i32i3000000000000000000000
χ5744-4-44-24-4-22-4-4244-40-24-2224-4-22-2-42-2000000000-22200000000000000002i3−2i300000000000000002i3−2i3000000000000000000000
χ5844-4-4-24424-4-4-4-44-220-2-2422-224-4-22-4-2000000000-2220000000000−2i32i30000000000000−2i32i3000000000000000000000000000000
χ5944-4-4-24424-4-4-4-44-220-2-2422-224-4-22-4-2000000000-22200000000002i3−2i300000000000002i3−2i3000000000000000000000000000000
χ6044-4-4-2-242-22-4-424-2201-2-2-1-1-22-2212210003-300001-1-133-3-3000000−2i32i30000−2i32i30000000i3−i30000000i3−i3000000000000000000000
χ6144-4-4-2-242-22-4-424-2201-2-2-1-1-22-2212210003-300001-1-133-3-30000002i3−2i300002i3−2i30000000−i3i30000000−i3i3000000000000000000000
χ6244-4-4-2-242-22-4-424-2201-2-2-1-1-22-221221000-3300001-1-1-3-333000000−2i32i300002i3−2i30000000i3−i30000000−i3i3000000000000000000000
χ6344-4-4-2-242-22-4-424-2201-2-2-1-1-22-221221000-3300001-1-1-3-3330000002i3−2i30000−2i32i30000000−i3i30000000i3−i3000000000000000000000
χ644-44-4444-4-4-44-44-4-4404444-4-4-4-44-44-44000000000-44-4000000000000000000000000000000000000000000000000000000000
χ654-44-444-2-4-4-4-2242-4404-2-24-4222-2-4-22-20000000002-22000000000000−2i32i30000000000000−2i32i30000000000000000000000000000
χ664-44-444-2-4-4-4-2242-4404-2-24-4222-2-4-22-20000000002-220000000000002i3−2i300000000000002i3−2i30000000000000000000000000000
χ674-44-44-24-4224-4-2-4-440-24-2-22-4-42-2242-20000000002-22000000000000000000000000000000000000000000000000−2i32i30000000
χ684-44-44-24-4224-4-2-4-440-24-2-22-4-42-2242-20000000002-220000000000000000000000000000000000000000000000002i3−2i30000000
χ694-44-4-2442-4-44-44-42-20-2-24-2222-442-2-4-20000000002-2200000000000000000000−2i32i300000000000000−2i32i30000000000000000000
χ704-44-4-2442-4-44-44-42-20-2-24-2222-442-2-4-20000000002-22000000000000000000002i3−2i3000000000000002i3−2i30000000000000000000
χ714-44-4-24-22-4-4-22422-20-21-2-22-1-12-22121000003-300-11-13-33-300000000−2i32i3000000−2i32i300000i3−i30000000i3−i30000000000000000000
χ724-44-4-24-22-4-4-22422-20-21-2-22-1-12-22121000003-300-11-13-33-3000000002i3−2i30000002i3−2i300000−i3i30000000−i3i30000000000000000000
χ734-44-4-24-22-4-4-22422-20-21-2-22-1-12-2212100000-3300-11-1-33-3300000000−2i32i30000002i3−2i300000i3−i30000000−i3i30000000000000000000
χ744-44-4-24-22-4-4-22422-20-21-2-22-1-12-2212100000-3300-11-1-33-33000000002i3−2i3000000−2i32i300000−i3i30000000i3−i30000000000000000000
χ754-4-444444-44-44-4-4-4-40444-44-44-4-4-4-444000000000-4-44000000000000000000000000000000000000000000000000000000000
χ764-4-4444-24-442-2-42-4-404-2-2-442-222-42-2-200000000022-200000000000000−2i32i30000000000000−2i32i300000000000000000000000000
χ774-4-4444-24-442-2-42-4-404-2-2-442-222-42-2-200000000022-2000000000000002i3−2i300000000000002i3−2i300000000000000000000000000
χ784-4-444-2442-2-442-4-4-40-24-22-2-44222-4-2-200000000022-2000000000000000000−2i32i3000000000000000000−2i32i300000000000000000
χ794-4-444-2442-2-442-4-4-40-24-22-2-44222-4-2-200000000022-20000000000000000002i3−2i30000000000000000002i3−2i300000000000000000
χ804-4-444-2-242-22-222-4-40-2-212-22-2-1-1221100000003-3-1-113-3-330000000000−2i32i300−2i32i3000000000i3−i30000000i3−i300000000000000000
χ814-4-444-2-242-22-222-4-40-2-212-22-2-1-1221100000003-3-1-113-3-3300000000002i3−2i3002i3−2i3000000000−i3i30000000−i3i300000000000000000
χ824-4-444-2-242-22-222-4-40-2-212-22-2-1-122110000000-33-1-11-333-30000000000−2i32i3002i3−2i3000000000i3−i30000000−i3i300000000000000000
χ834-4-444-2-242-22-222-4-40-2-212-22-2-1-122110000000-33-1-11-333-300000000002i3−2i300−2i32i3000000000−i3i30000000i3−i300000000000000000
χ844-4-44-244-2-44-44-4-4220-2-242-22-2-4-4224-200000000022-20000000000000000000000000000000000000000000000000023−2300000
χ854-4-44-244-2-44-44-4-4220-2-242-22-2-4-4224-200000000022-200000000000000000000000000000000000000000000000000−232300000
χ868888-4-4-4-4-4-4-4-4-4-4-4-48222222222222-1-4-4-4222222-1-1-1-1-1-1-100000000000000000000000000000000000000000000000000000
χ878888-4-4-4-4-4-4-4-4-4-4-4-4-8222222222222-1444-2-2-2-2-2-2-1-1-1111100000000000000000000000000000000000000000000000000000
χ8888-8-88-4-4-8-44444-48-80-4-4244-442-2-44-220000000002-2-2000000000000000000000000000000000000000000000000000000000
χ8988-8-8-48-448-844-8-4-440-42-4442-2-44-4-2420000000002-2-2000000000000000000000000000000000000000000000000000000000
χ9088-8-8-4-4-44-44444-4-440222-2-22-22-22-2-2-10006-60000-111-3-33300000000000000000000000000000000000000000000000000000
χ9188-8-8-4-4-44-44444-4-440222-2-22-22-22-2-2-1000-660000-11133-3-300000000000000000000000000000000000000000000000000000
χ928-88-88-4-4-844-44-44-880-4-42-4444-224-4-22000000000-22-2000000000000000000000000000000000000000000000000000000000
χ938-88-8-4-484448-8-4-84-402-4-42-2444-4-2-442000000000-22-2000000000000000000000000000000000000000000000000000000000
χ948-88-8-4-4-4444-44-444-402222-2-2-2-22-22-2-1000006-6001-11-33-3300000000000000000000000000000000000000000000000000000
χ958-88-8-4-4-4444-44-444-402222-2-2-2-22-22-2-100000-66001-113-33-300000000000000000000000000000000000000000000000000000
χ968-8-88-48-4-4-884-4-84440-42-44-4-22444-2-42000000000-2-22000000000000000000000000000000000000000000000000000000000
χ978-8-88-4-48-44-4-884-84402-4-4-224-444-24-42000000000-2-22000000000000000000000000000000000000000000000000000000000
χ988-8-88-4-4-4-44-44-444440222-22-22-2-2-2-22-100000006-611-1-333-300000000000000000000000000000000000000000000000000000
χ998-8-88-4-4-4-44-44-444440222-22-22-2-2-2-22-10000000-6611-13-3-3300000000000000000000000000000000000000000000000000000

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