Finite Group Databasebeta

← Group #13172292

Character table — Group #13172292

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size111122222222222244444444444444488888888888888881212121212121212121212121212242424242424242424242424242424242424242436363636363636363636363636367272108108
order122233366666666623336666666666636666666666666662224446666121212126666666666121212121212121212122244446612121212121261244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111-111-1111111-1-11-11-11111-1-1111-11111-1-11-1-1-11-111-1-1-1-1-1-1-11-1-1
χ3111111111111111111111111111111111111111111111111-111-1111-1-11111-111111-1-1111-1-1111-1-111-11-1-1-11-1-111-1-1-1-11-1-1-1
χ4111111111111111111111111111111111111111111111111-1-11-1-111-1-111-1-1-1-11-111-1-1-1-11-1-1-111-1-1-1-1-1-111-1-1-1-1-1-11111-1-111
χ511111111111111111111111111111111111111111111111-111-111-1-111-1-11111-11-1-11111-1111-1-11111-1-111-1-1-1-1-1-11111-1-1-1-1
χ611111111111111111111111111111111111111111111111-11-1-11-1-1-111-1-1-1-11-1-1-1-1-111-1-1-111-1-1-111-1-1-11-1-1-11-1-111-1-1-1-11-111
χ711111111111111111111111111111111111111111111111-1-11-1-11-1-1-1-1-1-111-11-11-1-1-1-111-1-1-11-1-1-1-1111-1-1-11-111-1-1-1-1-1-1-1111
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
χ91111111111111111-1111-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-1111-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11-11-1-11111111-1-1-1-11-1
χ101111111111111111-1111-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-111111-1-1111-11-11111-1-1-1-1-11-1-1-1-11111-11-1-111-1-1-1-1111-1-11
χ111111111111111111-1111-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-11-11-11-111-1-1-1-1-1-1-111111-1-111-111-1-1-111-1-1-1-1-1111-1-111-1-111-11-11
χ121111111111111111-1111-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-11-1-1-11111-1-1-1-111-1-11-111-1-1-1-1-1111-1-11111-111-11-1-1-1-1-111-1-1111-1
χ131111111111111111-1111-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1111-1-1-1-11111-1-111-11-1-111111-1-1-111-1-1-1-1-111-11-1-1-1-1-111-1-111-11
χ141111111111111111-1111-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-1-11-11-11-1-11111111-1-1-1-1-111-1-11-1-1111-1-111-1-1-1111-1-111-1-111-111-1
χ151111111111111111-1111-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1111-1-1-1-1-111-1-1-11-11-1-1-1-111111-11111-1-111-11-1-111-1-1-1-1111-11-1
χ161111111111111111-1111-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111111-11-1-11111111-1-1-1-1-11
χ17222222-1222-1-122-1222-1-12222-1-1-1-12-1-1-12-122-1-1-1-1-1-1-1-1-1-1-12022022200-1-1-1-102-1-1-1-100-1-12002-1-100-1-102000200-1-10000-1000
χ18222222-1222-1-122-1222-1-12222-1-1-1-12-1-1-12-122-1-1-1-1-1-1-1-1-1-1-120-220-22200-1-1110-2-11-1-10011200-2-1-100110-2000-2001100001000
χ19222222-1222-1-122-1222-1-12222-1-1-1-12-1-1-12-122-1-1-1-1-1-1-1-1-1-1-1-202-202-2-20011-1-1021-11100-1-1-20021100-1-10-2000-2001100001000
χ20222222-1222-1-122-1222-1-12222-1-1-1-12-1-1-12-122-1-1-1-1-1-1-1-1-1-1-1-20-2-20-2-2-20011110-211110011-200-211001102000200-1-10000-1000
χ21222222-1222-1-122-12-22-1-1-2-222-1-1-1-12-1-1-1-21-2-21111-1-1-11111202-20-22200111102-1-1-1-100-1-1-200-21100110-2000200-1-100001000
χ22222222-1222-1-122-12-22-1-1-2-222-1-1-1-12-1-1-1-21-2-21111-1-1-1111120-2-202220011-1-10-2-11-1-10011-20021100-1-102000-200110000-1000
χ23222222-1222-1-122-12-22-1-1-2-222-1-1-1-12-1-1-1-21-2-21111-1-1-11111-20220-2-2-200-1-111021-11100-1-1200-2-1-1001102000-200110000-1000
χ24222222-1222-1-122-12-22-1-1-2-222-1-1-1-12-1-1-1-21-2-21111-1-1-11111-20-2202-2-200-1-1-1-10-2111100112002-1-100-1-10-2000200-1-100001000
χ2522222-122-1-1222-1222-12-122-1-122-1-1-12-1-1-12-1-122-1-1-1-1-1-1-1-1-1220220-1-1-1-122002020-1-1-1-100-1-120-1-1-1-100200020-1-10000000-100
χ2622222-122-1-1222-1222-12-122-1-122-1-1-12-1-1-12-1-122-1-1-1-1-1-1-1-1-12-202-20-1-1112200-2020-1-11100-11-20-1-11100-2000-20110000000100
χ2722222-122-1-1222-1222-12-122-1-122-1-1-12-1-1-12-1-122-1-1-1-1-1-1-1-1-1-220-22011-1-1-2-20020-2011-1-1001-12011-1-100-2000-20110000000100
χ2822222-122-1-1222-1222-12-122-1-122-1-1-12-1-1-12-1-122-1-1-1-1-1-1-1-1-1-2-20-2-201111-2-200-20-2011110011-20111100200020-1-10000000-100
χ2922222-122-1-1222-122-2-12-1-2-2-1-122-1-1-12-1-11-211-2-211-1-1-11111220-2-20-1-1-1-1-2-2002020-1-1-1-10011-201111002000-20-1-10000000100
χ3022222-122-1-1222-122-2-12-1-2-2-1-122-1-1-12-1-11-211-2-211-1-1-111112-20-220-1-111-2-200-2020-1-111001-12011-1-100-200020110000000-100
χ3122222-122-1-1222-122-2-12-1-2-2-1-122-1-1-12-1-11-211-2-211-1-1-11111-2202-2011-1-1220020-2011-1-100-11-20-1-11100-200020110000000-100
χ3222222-122-1-1222-122-2-12-1-2-2-1-122-1-1-12-1-11-211-2-211-1-1-11111-2-2022011112200-20-20111100-1-120-1-1-1-1002000-20-1-10000000100
χ332222-122-12222-122-12-1-12-1-1-1-1-1-122-1-12-122-1-1-1-122-1-1-1-1-1-1-102202200220022-1-10200-1-1-1-102-1-100-1-1-1-10022000000-1-1-1-10000
χ342222-122-12222-122-12-1-12-1-1-1-1-1-122-1-12-122-1-1-1-122-1-1-1-1-1-1-102-202-2002200-2-2-110-200-1-11102-1100-1-11100-2-200000011110000
χ352222-122-12222-122-12-1-12-1-1-1-1-1-122-1-12-122-1-1-1-122-1-1-1-1-1-1-10-220-2200-2-200221-1020011-1-10-21-10011-1-100-2-200000011110000
χ362222-122-12222-122-12-1-12-1-1-1-1-1-122-1-12-122-1-1-1-122-1-1-1-1-1-1-10-2-20-2-200-2-200-2-2110-20011110-2110011110022000000-1-1-1-10000
χ372222-122-12222-122-1-2-1-1211-1-1-1-122-1-12-1-2-21111-2-2-1-1-111110220-2-2002200-2-2-1-10200-1-1-1-10-211001111002-2000000-1-1110000
χ382222-122-12222-122-1-2-1-1211-1-1-1-122-1-12-1-2-21111-2-2-1-1-1111102-20-2200220022-110-200-1-1110-21-10011-1-100-2200000011-1-10000
χ392222-122-12222-122-1-2-1-1211-1-1-1-122-1-12-1-2-21111-2-2-1-1-111110-2202-200-2-200-2-21-1020011-1-102-1100-1-11100-2200000011-1-10000
χ402222-122-12222-122-1-2-1-1211-1-1-1-122-1-12-1-2-21111-2-2-1-1-111110-2-202200-2-20022110-200111102-1-100-1-1-1-1002-2000000-1-1110000
χ4144444-2-24-2-2-2-24-2-244-2-2144-2-2-2-211-2-211-2-2-2-2-2-2111111111400400-2-200-2-20000-20110000-2000110000000000000000000000
χ4244444-2-24-2-2-2-24-2-244-2-2144-2-2-2-211-2-211-2-2-2-2-2-2111111111-400-400220022000020-1-100002000-1-10000000000000000000000
χ4344444-2-24-2-2-2-24-2-24-4-2-21-4-4-2-2-2-211-2-211222222-1-1111-1-1-1-1400-400-2-200220000-201100002000-1-10000000000000000000000
χ4444444-2-24-2-2-2-24-2-24-4-2-21-4-4-2-2-2-211-2-211222222-1-1111-1-1-1-1-4004002200-2-2000020-1-10000-2000110000000000000000000000
χ454444-24-2-244-2-2-24-2-24-21-2-2-2-2-211-2-2-21-214-2-2-211-2-21111111004004000000-2-20-20-2000011000-2000011000000000000000000
χ464444-24-2-244-2-2-24-2-24-21-2-2-2-2-211-2-2-21-214-2-2-211-2-2111111100-400-40000002202020000-1-100020000-1-1000000000000000000
χ474444-24-2-244-2-2-24-2-2-4-21-222-2-211-2-2-21-21-4222-1-122111-1-1-1-100400-4000000220-20-200001100020000-1-1000000000000000000
χ484444-24-2-244-2-2-24-2-2-4-21-222-2-211-2-2-21-21-4222-1-122111-1-1-1-100-4004000000-2-202020000-1-1000-2000011000000000000000000
χ494444-2-24-2-2-244-2-24-241-2-2-2-211-2-2-2-21-2-21-2411-2-2-2-2111111104004000-2-20000-20000011000-2-20001100000000000000000000
χ504444-2-24-2-2-244-2-24-241-2-2-2-211-2-2-2-21-2-21-2411-2-2-2-211111110-400-4000220000200000-1-100022000-1-100000000000000000000
χ514444-2-24-2-2-244-2-24-2-41-2-22211-2-2-2-21-2-212-4-1-12222111-1-1-1-10400-4000-2-20000-2000001100022000-1-100000000000000000000
χ524444-2-24-2-2-244-2-24-2-41-2-22211-2-2-2-21-2-212-4-1-12222111-1-1-1-10-4004000220000200000-1-1000-2-20001100000000000000000000
χ5344-4-4444-44-44-4-4-4-440444004-44-4-4-4-4-444000000004-4-400000000000000000000000000000000000000000000000000000000
χ5444-4-444-2-44-4-22-4-42404-2-2004-4-2222-42-2-200000000-22200000000000000−2i32i30000000000000000−2i32i30000000000000000000000
χ5544-4-444-2-44-4-22-4-42404-2-2004-4-2222-42-2-200000000-222000000000000002i3−2i300000000000000002i3−2i30000000000000000000000
χ5644-4-44-24-4-224-4-42-440-24-200-224-4222-4-2-200000000-2220000000000−2i32i30000000000−2i32i300000000000000000000000000000000
χ5744-4-44-24-4-224-4-42-440-24-200-224-4222-4-2-200000000-22200000000002i3−2i300000000002i3−2i300000000000000000000000000000000
χ5844-4-44-2-2-4-22-22-42240-2-2100-22-22-1-122110000003-31-1-133-3-3000000−2i32i300−2i32i3000000i3−i300000000i3−i30000000000000000000000
χ5944-4-44-2-2-4-22-22-42240-2-2100-22-22-1-122110000003-31-1-133-3-30000002i3−2i3002i3−2i3000000−i3i300000000−i3i30000000000000000000000
χ6044-4-44-2-2-4-22-22-42240-2-2100-22-22-1-12211000000-331-1-1-3-333000000−2i32i3002i3−2i3000000i3−i300000000−i3i30000000000000000000000
χ6144-4-44-2-2-4-22-22-42240-2-2100-22-22-1-12211000000-331-1-1-3-3330000002i3−2i300−2i32i3000000−i3i300000000i3−i30000000000000000000000
χ6244-4-4-24424-44-42-4-4-20-2-2400-22-22-4-4224-200000000-222000000000000000000000000000000000000000000000000−2i32i3000000
χ6344-4-4-24424-44-42-4-4-20-2-2400-22-22-4-4224-200000000-2220000000000000000000000000000000000000000000000002i3−2i3000000
χ644-44-4444-4-44-444-4-4-4044400-4-4-4-44-444-4400000000-44-400000000000000000000000000000000000000000000000000000000
χ654-44-444-2-4-442-24-42-404-2-200-4-422-224-22-2000000002-220000000000000000−2i32i3000000000000000000−2i32i3000000000000000000
χ664-44-444-2-4-442-24-42-404-2-200-4-422-224-22-2000000002-2200000000000000002i3−2i30000000000000000002i3−2i3000000000000000000
χ674-44-44-24-42-2-4442-4-40-24-20022-4-4-22-242-2000000002-22000000000000−2i32i30000000000−2i32i3000000000000000000000000000000
χ684-44-44-24-42-2-4442-4-40-24-20022-4-4-22-242-2000000002-220000000000002i3−2i300000000002i3−2i3000000000000000000000000000000
χ694-44-4-2442-44-44-2-4-420-2-24−2i32i322224-4-2-2-4-200−2i32i3−2i32i3002-22−2i32i3−2i32i30000000000000000000000000000000000000000000000000000
χ704-44-4-2442-44-44-2-4-420-2-242i3−2i322224-4-2-2-4-2002i3−2i32i3−2i3002-222i3−2i32i3−2i30000000000000000000000000000000000000000000000000000
χ714-44-4-24-22-442-2-2-4220-21-2−2i32i322-1-1-22-212100−2i32i3i3−i300-11-1i3−i3i3−i3000000000000−2i32i3000000003-300000000i3−i3000000000000000000
χ724-44-4-24-22-442-2-2-4220-21-2−2i32i322-1-1-22-212100−2i32i3i3−i300-11-1i3−i3i3−i30000000000002i3−2i300000000-3300000000−i3i3000000000000000000
χ734-44-4-24-22-442-2-2-4220-21-22i3−2i322-1-1-22-2121002i3−2i3−i3i300-11-1−i3i3−i3i3000000000000−2i32i300000000-3300000000i3−i3000000000000000000
χ744-44-4-24-22-442-2-2-4220-21-22i3−2i322-1-1-22-2121002i3−2i3−i3i300-11-1−i3i3−i3i30000000000002i3−2i3000000003-300000000−i3i3000000000000000000
χ754-44-4-2-2422-2-44-22-4201-2-2−2i32i3-1-122-221-22100i3−i3−2i32i300-11-1i3−i3i3−i300000000−2i32i30000000000i3−i3000000003-300000000000000000000
χ764-44-4-2-2422-2-44-22-4201-2-2−2i32i3-1-122-221-22100i3−i3−2i32i300-11-1i3−i3i3−i3000000002i3−2i30000000000−i3i300000000-3300000000000000000000
χ774-44-4-2-2422-2-44-22-4201-2-22i3−2i3-1-122-221-22100−i3i32i3−2i300-11-1−i3i3−i3i300000000−2i32i30000000000i3−i300000000-3300000000000000000000
χ784-44-4-2-2422-2-44-22-4201-2-22i3−2i3-1-122-221-22100−i3i32i3−2i300-11-1−i3i3−i3i3000000002i3−2i30000000000−i3i3000000003-300000000000000000000
χ794-4-444444-4-4-4-4-444-4044400-44-44-44-4-4-4400000000-4-4400000000000000000000000000000000000000000000000000000000
χ804-4-4444-24-4-422-44-2-404-2-200-442-22-2-422-20000000022-20000000000000000000000000000000000000000000000−2i32i300000000
χ814-4-4444-24-4-422-44-2-404-2-200-442-22-2-422-20000000022-200000000000000000000000000000000000000000000002i3−2i300000000
χ824-4-444-24422-4-4-4-24-40-24-2002-2-442-22-42-20000000022-200000000000000000000000000000000000000000000−2i32i30000000000
χ834-4-444-24422-4-4-4-24-40-24-2002-2-442-22-42-20000000022-2000000000000000000000000000000000000000000002i3−2i30000000000
χ844-4-44-244-2-4-4-4-424420-2-24002-22-2-4422-4-20000000022-20000000000000000000000000000000000000000000000000023−230000
χ854-4-44-244-2-4-4-4-424420-2-24002-22-2-4422-4-20000000022-200000000000000000000000000000000000000000000000000−23230000
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
χ8888-8-8-48-448-8-444-84-40-42-400-442-2444-2-42000000002-2-200000000000000000000000000000000000000000000000000000000
χ8988-8-8-4-484-448-844-8-402-4-4002-2-4444-24-42000000002-2-200000000000000000000000000000000000000000000000000000000
χ9088-8-8-4-4-44-44-44444-40222002-22-2-2-2-2-22-10000006-6-111-3-3330000000000000000000000000000000000000000000000000000
χ9188-8-8-4-4-44-44-44444-40222002-22-2-2-2-2-22-1000000-66-11133-3-30000000000000000000000000000000000000000000000000000
χ928-88-88-4-4-84-44-4844-80-4-420044442-2-4-4-2200000000-22-200000000000000000000000000000000000000000000000000000000
χ938-88-8-4-4-444-44-4-44440222−4i34i3-2-2-2-22-222-2-1002i3−2i32i3−2i3001-11−i3i3−i3i30000000000000000000000000000000000000000000000000000
χ948-88-8-4-4-444-44-4-444402224i3−4i3-2-2-2-22-222-2-100−2i32i3−2i32i3001-11i3−i3i3−i30000000000000000000000000000000000000000000000000000
χ958-8-888-4-484444-8-4-4-80-4-42004-44-4-2244-2200000000-2-2200000000000000000000000000000000000000000000000000000000
χ968-8-88-48-4-4-8-84448-440-42-4004-4-224-44-24200000000-2-2200000000000000000000000000000000000000000000000000000000
χ978-8-88-4-48-444-8-84-48402-4-400-224-44-4-244200000000-2-2200000000000000000000000000000000000000000000000000000000
χ988-8-88-4-4-4-444444-4-44022200-22-22-22-2-2-2-10000000011-1−3i33i33i3−3i30000000000000000000000000000000000000000000000000000
χ998-8-88-4-4-4-444444-4-44022200-22-22-22-2-2-2-10000000011-13i3−3i3−3i33i30000000000000000000000000000000000000000000000000000

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