Finite Group Databasebeta

← Group #13172290

Character table — Group #13172290

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size111122222222222244444444444444488888888888888881212121212121212121212121212242424242424242424242424242424242424242436363636363636363636363636367272108108
order122233366666666623336666666666636666666666666662224446666661212666666666121212121212121212121224444466121212121212121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111-111-11111-1-1-1-111-11111-1-11-11111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1
χ3111111111111111111111111111111111111111111111111-111-1111-1-111111-1111-1-111-111-1111-1-111-11-1-1-11-1-111-1-1-1-1-11-1-1
χ4111111111111111111111111111111111111111111111111-1-11-1-111-1-1-1-1-1-11-1-111-1-1-1-1-1-11-1111-1-1-1-11-1-1-11-111-1-1-1-1-1-11-111
χ511111111111111111111111111111111111111111111111-111-111-1-1111111-111-1-1111111-11-1-1-111111-1-1-11-111-1-1-1-1-1-11-1-1-1
χ611111111111111111111111111111111111111111111111-11-1-11-1-1-111-1-1-1-1-11-1-1-111-1-11-1-11-1-1-111-1-1-11-1-1-11-1-111-1-1-1-1-1111
χ711111111111111111111111111111111111111111111111-1-11-1-11-1-1-1-11111-1-11-1-1-1-111-11-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-111
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
χ91111111111111111-1111-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-1111-1-1-1111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1111-1-1-111-1-111-1-1-11-11
χ101111111111111111-1111-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-111111-1-11111-11111-1-1-11-1-1-1-1-1-1-111-1-11-111-1-11111-1-11-11-1
χ111111111111111111-1111-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-11-11-11-111-1-111-1-11-1111-1-1111-1-11-1-1-111-1-1-11-111-1-1-1-1-1-1-111111-1
χ121111111111111111-1111-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-11-1-1-11111-1-1-1-1111-1-111-1-1-1-111-11-1-1-111111-1-11-111111-1-111-1-1-11
χ131111111111111111-1111-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1111-1-1-1-11111-1-1-111-1-11111-1-11-1111-1-1-1-11-1-11-111111-1-111-1-11-1
χ141111111111111111-1111-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-1-11-11-11-1-111-1-111-11-1-1-111-1-1-111-1111-1-111-11-111-1-1-1-1-1-1-11111-11
χ151111111111111111-1111-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1111-1-1-1-1-111-1-1-1-11-1-1-1-1111-11111111-1-1-1-11-111-1-11111-1-11-1-11
χ161111111111111111-1111-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111111111111111-1-1-111-1-111-1-1-111-1
χ17222222-122-1-12-122222-1-12222-1-1-1-12-1-1-12-122-1-1-1-1-1-1-1-1-1-1-102202200-1-1-1-12202200-1-1-1-1-1-102000-1-1-1-1200020-1-1000000-1000
χ18222222-122-1-12-122222-1-12222-1-1-1-12-1-1-12-122-1-1-1-1-1-1-1-1-1-1-102-202-200-1-111-2-202-200-1-111-1102000-1-111-2000-20110000001000
χ19222222-122-1-12-122222-1-12222-1-1-1-12-1-1-12-122-1-1-1-1-1-1-1-1-1-1-10-220-220011-1-1220-220011-1-11-10-200011-1-1-2000-20110000001000
χ20222222-122-1-12-122222-1-12222-1-1-1-12-1-1-12-122-1-1-1-1-1-1-1-1-1-1-10-2-20-2-2001111-2-20-2-2001111110-20001111200020-1-1000000-1000
χ21222222-122-1-12-1222-22-1-1-2-222-1-1-1-12-1-1-1-21-2-21111-1-1-111110220-2-200-1-1-1-1-2-202200-1-1-1-1110-200011112000-20-1-10000001000
χ22222222-122-1-12-1222-22-1-1-2-222-1-1-1-12-1-1-1-21-2-21111-1-1-1111102-20-2200-1-1112202-200-1-1111-10-200011-1-1-20002011000000-1000
χ23222222-122-1-12-1222-22-1-1-2-222-1-1-1-12-1-1-1-21-2-21111-1-1-111110-2202-20011-1-1-2-20-220011-1-1-1102000-1-111-20002011000000-1000
χ24222222-122-1-12-1222-22-1-1-2-222-1-1-1-12-1-1-1-21-2-21111-1-1-111110-2-2022001111220-2-2001111-1-102000-1-1-1-12000-20-1-10000001000
χ2522222-122-12222-1-122-12-122-1-122-1-1-12-1-1-12-1-122-1-1-1-1-1-1-1-1-1202202-1-10022-1-120-1-1-100-1-10220-1-1-100-1-102000200-1-100000-100
χ2622222-122-12222-1-122-12-122-1-122-1-1-12-1-1-12-1-122-1-1-1-1-1-1-1-1-120-220-2-1-100-2-211201-1-100110-220-1-1-100110-2000-2001100000100
χ2722222-122-12222-1-122-12-122-1-122-1-1-12-1-1-12-1-122-1-1-1-1-1-1-1-1-1-202-202110022-1-1-20-11100-1-102-2011100-1-10-2000-2001100000100
χ2822222-122-12222-1-122-12-122-1-122-1-1-12-1-1-12-1-122-1-1-1-1-1-1-1-1-1-20-2-20-21100-2-211-2011100110-2-20111001102000200-1-100000-100
χ2922222-122-12222-1-12-2-12-1-2-2-1-122-1-1-12-1-11-211-2-211-1-1-11111202-20-2-1-100221120-1-1-100-1-10-2-20111001102000-2001100000-100
χ3022222-122-12222-1-12-2-12-1-2-2-1-122-1-1-12-1-11-211-2-211-1-1-1111120-2-202-1-100-2-2-1-1201-1-1001102-2011100-1-10-2000200-1-100000100
χ3122222-122-12222-1-12-2-12-1-2-2-1-122-1-1-12-1-11-211-2-211-1-1-11111-20220-211002211-20-11100-1-10-220-1-1-100110-2000200-1-100000100
χ3222222-122-12222-1-12-2-12-1-2-2-1-122-1-1-12-1-11-211-2-211-1-1-11111-20-22021100-2-2-1-1-2011100110220-1-1-100-1-102000-2001100000-100
χ332222-122-1222-1222-12-1-12-1-1-1-1-1-122-1-12-122-1-1-1-122-1-1-1-1-1-1-122022022220000-1-10-1-1-1-10020-1-12-1-1-1-1000022000000-1-1-1-10000
χ342222-122-1222-1222-12-1-12-1-1-1-1-1-122-1-12-122-1-1-1-122-1-1-1-1-1-1-12-202-2022-2-20000-110-1-11100-20-112-1-1110000-2-200000011110000
χ352222-122-1222-1222-12-1-12-1-1-1-1-1-122-1-12-122-1-1-1-122-1-1-1-1-1-1-1-220-220-2-22200001-1011-1-100201-1-211-1-10000-2-200000011110000
χ362222-122-1222-1222-12-1-12-1-1-1-1-1-122-1-12-122-1-1-1-122-1-1-1-1-1-1-1-2-20-2-20-2-2-2-20000110111100-2011-21111000022000000-1-1-1-10000
χ372222-122-1222-1222-1-2-1-1211-1-1-1-122-1-12-1-2-21111-2-2-1-1-11111220-2-2022220000-1-10-1-1-1-100-2011-2111100002-2000000-1-1110000
χ382222-122-1222-1222-1-2-1-1211-1-1-1-122-1-12-1-2-21111-2-2-1-1-111112-20-22022-2-20000-110-1-11100201-1-211-1-10000-2200000011-1-10000
χ392222-122-1222-1222-1-2-1-1211-1-1-1-122-1-12-1-2-21111-2-2-1-1-11111-2202-20-2-22200001-1011-1-100-20-112-1-1110000-2200000011-1-10000
χ402222-122-1222-1222-1-2-1-1211-1-1-1-122-1-12-1-2-21111-2-2-1-1-11111-2-20220-2-2-2-2000011011110020-1-12-1-1-1-100002-2000000-1-1110000
χ4144444-2-24-2-2-24-2-2-244-2-2144-2-2-2-211-2-211-2-2-2-2-2-21111111110040040000-2-2-2-200-20000110-2000000011000000000000000000
χ4244444-2-24-2-2-24-2-2-244-2-2144-2-2-2-211-2-211-2-2-2-2-2-211111111100-400-4000022220020000-1-1020000000-1-1000000000000000000
χ4344444-2-24-2-2-24-2-2-24-4-2-21-4-4-2-2-2-211-2-211222222-1-1111-1-1-1-100400-40000-2-22200-2000011020000000-1-1000000000000000000
χ4444444-2-24-2-2-24-2-2-24-4-2-21-4-4-2-2-2-211-2-211222222-1-1111-1-1-1-100-4004000022-2-20020000-1-10-2000000011000000000000000000
χ454444-24-2-24-2-2-2-244-24-21-2-2-2-2-211-2-2-21-214-2-2-211-2-2111111104004000-2-200000-20001100-200-20001100000000000000000000
χ464444-24-2-24-2-2-2-244-24-21-2-2-2-2-211-2-2-21-214-2-2-211-2-211111110-400-400022000002000-1-1002002000-1-100000000000000000000
χ474444-24-2-24-2-2-2-244-2-4-21-222-2-211-2-2-21-21-4222-1-122111-1-1-1-10400-4000-2-200000-200011002002000-1-100000000000000000000
χ484444-24-2-24-2-2-2-244-2-4-21-222-2-211-2-2-21-21-4222-1-122111-1-1-1-10-400400022000002000-1-100-200-20001100000000000000000000
χ494444-2-24-2-244-24-2-2-241-2-2-2-211-2-2-2-21-2-21-2411-2-2-2-21111111400400-2-2000000-20011000000-20-2110000000000000000000000
χ504444-2-24-2-244-24-2-2-241-2-2-2-211-2-2-2-21-2-21-2411-2-2-2-21111111-400-40022000000200-1-1000000202-1-10000000000000000000000
χ514444-2-24-2-244-24-2-2-2-41-2-22211-2-2-2-21-2-212-4-1-12222111-1-1-1-1400-400-2-2000000-20011000000202-1-10000000000000000000000
χ524444-2-24-2-244-24-2-2-2-41-2-22211-2-2-2-21-2-212-4-1-12222111-1-1-1-1-40040022000000200-1-1000000-20-2110000000000000000000000
χ5344-4-4444-4-44-44-44-4-4044400-4-4-4-44-444-44000000004-4-400000000000000000000000000000000000000000000000000000000
χ5444-4-444-2-4-4-22424-4-404-2-200-4-422-224-22-200000000-222000000000000−2i32i3000000000−2i32i30000000000000000000000000000000
χ5544-4-444-2-4-4-22424-4-404-2-200-4-422-224-22-200000000-2220000000000002i3−2i30000000002i3−2i30000000000000000000000000000000
χ5644-4-44-24-424-44-4-22-40-24-20022-4-4-22-242-200000000-2220000000000−2i32i3000000000−2i32i3000000000000000000000000000000000
χ5744-4-44-24-424-44-4-22-40-24-20022-4-4-22-242-200000000-22200000000002i3−2i30000000002i3−2i3000000000000000000000000000000000
χ5844-4-4-2442-44-4-2-44-420-2-24−2i32i322224-4-2-2-4-200−2i32i3−2i32i300-222−2i3−2i32i32i30000000000000000000000000000000000000000000000000000
χ5944-4-4-2442-44-4-2-44-420-2-242i3−2i322224-4-2-2-4-2002i3−2i32i3−2i300-2222i32i3−2i3−2i30000000000000000000000000000000000000000000000000000
χ6044-4-4-24-22-4-22-224-420-21-2−2i32i322-1-1-22-212100−2i32i3i3−i3001-1-1i3i3−i3−i300000000−2i32i3000000000i3−i30000000003-300000000000000000000
χ6144-4-4-24-22-4-22-224-420-21-2−2i32i322-1-1-22-212100−2i32i3i3−i3001-1-1i3i3−i3−i3000000002i3−2i3000000000−i3i3000000000-3300000000000000000000
χ6244-4-4-24-22-4-22-224-420-21-22i3−2i322-1-1-22-2121002i3−2i3−i3i3001-1-1−i3−i3i3i300000000−2i32i3000000000i3−i3000000000-3300000000000000000000
χ6344-4-4-24-22-4-22-224-420-21-22i3−2i322-1-1-22-2121002i3−2i3−i3i3001-1-1−i3−i3i3i3000000002i3−2i3000000000−i3i30000000003-300000000000000000000
χ6444-4-4-2-24224-4-2-4-22201-2-2−2i32i3-1-122-221-22100i3−i3−2i32i3001-1-1i3i3−i3−i3000000−2i32i3000000000i3−i30000000003-30000000000000000000000
χ6544-4-4-2-24224-4-2-4-22201-2-2−2i32i3-1-122-221-22100i3−i3−2i32i3001-1-1i3i3−i3−i30000002i3−2i3000000000−i3i3000000000-330000000000000000000000
χ6644-4-4-2-24224-4-2-4-22201-2-22i3−2i3-1-122-221-22100−i3i32i3−2i3001-1-1−i3−i3i3i3000000−2i32i3000000000i3−i3000000000-330000000000000000000000
χ6744-4-4-2-24224-4-2-4-22201-2-22i3−2i3-1-122-221-22100−i3i32i3−2i3001-1-1−i3−i3i3i30000002i3−2i3000000000−i3i30000000003-30000000000000000000000
χ684-44-4444-44-4-4-44-4-440444004-44-4-44-4-4-4400000000-44-400000000000000000000000000000000000000000000000000000000
χ694-44-444-2-4422-4-2-4-4404-2-2004-4-222-2-422-2000000002-2200000000000000000000000000000000000000000000−2i32i30000000000
χ704-44-444-2-4422-4-2-4-4404-2-2004-4-222-2-422-2000000002-22000000000000000000000000000000000000000000002i3−2i30000000000
χ714-44-44-24-4-2-4-4-442240-24-200-224-42-22-42-2000000002-22000000000000000000000000000000000000000000000023−2300000000
χ724-44-44-24-4-2-4-4-442240-24-200-224-42-22-42-2000000002-220000000000000000000000000000000000000000000000−232300000000
χ734-44-4-24424-4-424-4-4-20-2-2400-22-22-4422-4-2000000002-22000000000000000000000000000000000000000000000000−2i32i3000000
χ744-44-4-24424-4-424-4-4-20-2-2400-22-22-4422-4-2000000002-220000000000000000000000000000000000000000000000002i3−2i3000000
χ754-4-444444-4-44-4-4-44-4044400-44-44-4-4-4-44400000000-4-4400000000000000000000000000000000000000000000000000000000
χ764-4-4444-24-42-2-42-44-404-2-200-442-222-42-2-20000000022-200000000000000−2i32i3000000000−2i32i300000000000000000000000000000
χ774-4-4444-24-42-2-42-44-404-2-200-442-222-42-2-20000000022-2000000000000002i3−2i30000000002i3−2i300000000000000000000000000000
χ784-4-444-2442-44-4-42-2-40-24-2002-2-44222-4-2-20000000022-20000000000000000−2i32i3000000000000000000−2i32i3000000000000000000
χ794-4-444-2442-44-4-42-2-40-24-2002-2-44222-4-2-20000000022-200000000000000002i3−2i30000000000000000002i3−2i3000000000000000000
χ804-4-444-2-2422-2-422-2-40-2-21002-22-2-1-122110000003-3-1-113-33-30000000000−2i32i3−2i32i30000000i3−i3000000000i3−i3000000000000000000
χ814-4-444-2-2422-2-422-2-40-2-21002-22-2-1-122110000003-3-1-113-33-300000000002i3−2i32i3−2i30000000−i3i3000000000−i3i3000000000000000000
χ824-4-444-2-2422-2-422-2-40-2-21002-22-2-1-12211000000-33-1-11-33-330000000000−2i32i32i3−2i30000000i3−i3000000000−i3i3000000000000000000
χ834-4-444-2-2422-2-422-2-40-2-21002-22-2-1-12211000000-33-1-11-33-3300000000002i3−2i3−2i32i30000000−i3i3000000000i3−i3000000000000000000
χ844-4-44-244-2-4-442-4-4420-2-24002-22-2-4-4224-20000000022-20000000000000000000000000000000000000000000000000023−230000
χ854-4-44-244-2-4-442-4-4420-2-24002-22-2-4-4224-20000000022-200000000000000000000000000000000000000000000000000−23230000
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
χ8888-8-88-4-4-84-4484-44-80-4-420044442-2-4-4-22000000002-2-200000000000000000000000000000000000000000000000000000000
χ8988-8-8-4-4-444-44-44-4440222−4i34i3-2-2-2-22-222-2-1002i3−2i32i3−2i300-111−i3−i3i3i30000000000000000000000000000000000000000000000000000
χ9088-8-8-4-4-444-44-44-44402224i3−4i3-2-2-2-22-222-2-100−2i32i3−2i32i300-111i3i3−i3−i30000000000000000000000000000000000000000000000000000
χ918-88-88-4-4-8-444-8-44480-4-4200-44-44-2244-2200000000-22-200000000000000000000000000000000000000000000000000000000
χ928-88-8-48-448444-4-8-8-40-42-400-442-24-44-24200000000-22-200000000000000000000000000000000000000000000000000000000
χ938-88-8-4-484-4-8-84844-402-4-4002-2-444-4-244200000000-22-200000000000000000000000000000000000000000000000000000000
χ948-88-8-4-4-44-4444-444-40222002-22-2-22-2-2-2-1000000001-11−3i33i33i3−3i30000000000000000000000000000000000000000000000000000
χ958-88-8-4-4-44-4444-444-40222002-22-2-22-2-2-2-1000000001-113i3−3i3−3i33i30000000000000000000000000000000000000000000000000000
χ968-8-88-48-4-4-84-444-8840-42-4004-4-22444-2-4200000000-2-2200000000000000000000000000000000000000000000000000000000
χ978-8-88-4-48-44-884-84-4402-4-400-224-444-24-4200000000-2-2200000000000000000000000000000000000000000000000000000000
χ988-8-88-4-4-4-444-4444-44022200-22-22-2-2-2-22-10000006-611-1-33-330000000000000000000000000000000000000000000000000000
χ998-8-88-4-4-4-444-4444-44022200-22-22-2-2-2-22-1000000-6611-13-33-30000000000000000000000000000000000000000000000000000

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