Finite Group Databasebeta

← Group #13180841

Character table — Group #13180841

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11222223366666888888888888363636362244444661212121212161616161616161616161616727272723366666991818181818242424242424242424242424108108108108
order122366622266663336666666662444366366666666663336666666666121212222666622266666666666666662444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-111111111111111111111111111-1-1-1-111111111111111111111111111-1-1-1-1
χ311-111-1-111-111-1-1111111-1-1-1-1-1-11-11-111-111-1-111-111-1-1111111-1-1-1-1-1-11-11-111-111-1-111-111-1-1111111-1-1-1-1-1-11-11-1
χ411-111-1-111-111-1-1111111-1-1-1-1-1-1-11-1111-111-1-111-111-1-1111111-1-1-1-1-1-1-11-1111-111-1-111-111-1-1111111-1-1-1-1-1-1-11-11
χ522222222222222-1-1-1-1-1-1-1-1-1-1-1-1000022222222222222-1-1-1-1-1-1-1-1-1-1-1-1000022222222222222-1-1-1-1-1-1-1-1-1-1-1-10000
χ6222-1-1-1-1222-1-1-1-12-1-12-1-122-1-1-1-10000222-1-1-1-1222-1-1-1-12-1-12-1-122-1-1-1-10000222-1-1-1-1222-1-1-1-12-1-12-1-122-1-1-1-10000
χ7222-1-1-1-1222-1-1-1-1-12-1-12-1-1-122-1-10000222-1-1-1-1222-1-1-1-1-12-1-12-1-1-122-1-10000222-1-1-1-1222-1-1-1-1-12-1-12-1-1-122-1-10000
χ8222-1-1-1-1222-1-1-1-1-1-12-1-12-1-1-1-1220000222-1-1-1-1222-1-1-1-1-1-12-1-12-1-1-1-1220000222-1-1-1-1222-1-1-1-1-1-12-1-12-1-1-1-1220000
χ922-222-2-222-222-2-2-1-1-1-1-1-1111111000022-222-2-222-222-2-2-1-1-1-1-1-1111111000022-222-2-222-222-2-2-1-1-1-1-1-11111110000
χ1022-2-1-11122-2-1-1112-1-12-1-1-2-21111000022-2-1-11122-2-1-1112-1-12-1-1-2-21111000022-2-1-11122-2-1-1112-1-12-1-1-2-211110000
χ1122-2-1-11122-2-1-111-12-1-12-111-2-211000022-2-1-11122-2-1-111-12-1-12-111-2-211000022-2-1-11122-2-1-111-12-1-12-111-2-2110000
χ1222-2-1-11122-2-1-111-1-12-1-121111-2-2000022-2-1-11122-2-1-111-1-12-1-121111-2-2000022-2-1-11122-2-1-111-1-12-1-121111-2-20000
χ132-202-2002-202-200222-2-2-200000000002-202-2002-202-200222-2-2-200000000002-202-2002-202-200222-2-2-20000000000
χ142-202-2002-202-200-1-1-1111i3−i3i3−i3i3−i300002-202-2002-202-200-1-1-1111i3−i3i3−i3i3−i300002-202-2002-202-200-1-1-1111i3−i3i3−i3i3−i30000
χ152-202-2002-202-200-1-1-1111−i3i3−i3i3−i3i300002-202-2002-202-200-1-1-1111−i3i3−i3i3−i3i300002-202-2002-202-200-1-1-1111−i3i3−i3i3−i3i30000
χ162-20-11i3−i32-20-11i3−i32-1-1-21100i3−i3−i3i300002-20-11i3−i32-20-11i3−i32-1-1-21100i3−i3−i3i300002-20-11i3−i32-20-11i3−i32-1-1-21100i3−i3−i3i30000
χ172-20-11i3−i32-20-11i3−i3-12-11-21−i3i300i3−i300002-20-11i3−i32-20-11i3−i3-12-11-21−i3i300i3−i300002-20-11i3−i32-20-11i3−i3-12-11-21−i3i300i3−i30000
χ182-20-11i3−i32-20-11i3−i3-1-1211-2i3−i3−i3i30000002-20-11i3−i32-20-11i3−i3-1-1211-2i3−i3−i3i30000002-20-11i3−i32-20-11i3−i3-1-1211-2i3−i3−i3i3000000
χ192-20-11−i3i32-20-11−i3i32-1-1-21100−i3i3i3−i300002-20-11−i3i32-20-11−i3i32-1-1-21100−i3i3i3−i300002-20-11−i3i32-20-11−i3i32-1-1-21100−i3i3i3−i30000
χ202-20-11−i3i32-20-11−i3i3-12-11-21i3−i300−i3i300002-20-11−i3i32-20-11−i3i3-12-11-21i3−i300−i3i300002-20-11−i3i32-20-11−i3i3-12-11-21i3−i300−i3i30000
χ212-20-11−i3i32-20-11−i3i3-1-1211-2−i3i3i3−i30000002-20-11−i3i32-20-11−i3i3-1-1211-2−i3i3i3−i30000002-20-11−i3i32-20-11−i3i3-1-1211-2−i3i3i3−i3000000
χ223333333-1-1-1-1-1-1-100000000000011-1-13333333-1-1-1-1-1-1-100000000000011-1-13333333-1-1-1-1-1-1-100000000000011-1-1
χ233333333-1-1-1-1-1-1-1000000000000-1-1113333333-1-1-1-1-1-1-1000000000000-1-1113333333-1-1-1-1-1-1-1000000000000-1-111
χ2433-333-3-3-1-11-1-1110000000000001-1-1133-333-3-3-1-11-1-1110000000000001-1-1133-333-3-3-1-11-1-1110000000000001-1-11
χ2533-333-3-3-1-11-1-111000000000000-111-133-333-3-3-1-11-1-111000000000000-111-133-333-3-3-1-11-1-111000000000000-111-1
χ26666-3-3-3-3-2-2-211110000000000000000666-3-3-3-3-2-2-211110000000000000000666-3-3-3-3-2-2-211110000000000000000
χ2766-6-3-333-2-2211-1-1000000000000000066-6-3-333-2-2211-1-1000000000000000066-6-3-333-2-2211-1-10000000000000000
χ286-606-600-220-220000000000000000006-606-600-220-220000000000000000006-606-600-220-22000000000000000000
χ296-60-333i3−3i3-2201-1−i3i300000000000000006-60-333i3−3i3-2201-1−i3i300000000000000006-60-333i3−3i3-2201-1−i3i30000000000000000
χ306-60-33−3i33i3-2201-1i3−i300000000000000006-60-33−3i33i3-2201-1i3−i300000000000000006-60-33−3i33i3-2201-1i3−i30000000000000000
χ31111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3211111111111111111111111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ3311-111-1-111-111-1-1111111-1-1-1-1-1-11-11-111-111-1-111-111-1-1111111-1-1-1-1-1-11-11-1-1-11-1-111-1-11-1-111-1-1-1-1-1-1111111-11-11
χ3411-111-1-111-111-1-1111111-1-1-1-1-1-1-11-1111-111-1-111-111-1-1111111-1-1-1-1-1-1-11-11-1-11-1-111-1-11-1-111-1-1-1-1-1-11111111-11-1
χ3522222222222222-1-1-1-1-1-1-1-1-1-1-1-1000022222222222222-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2-2-2-2-2-2-2-2-2-2-21111111111110000
χ36222-1-1-1-1222-1-1-1-12-1-12-1-122-1-1-1-10000222-1-1-1-1222-1-1-1-12-1-12-1-122-1-1-1-10000-2-2-21111-2-2-21111-211-211-2-211110000
χ37222-1-1-1-1222-1-1-1-1-12-1-12-1-1-122-1-10000222-1-1-1-1222-1-1-1-1-12-1-12-1-1-122-1-10000-2-2-21111-2-2-211111-211-2111-2-2110000
χ38222-1-1-1-1222-1-1-1-1-1-12-1-12-1-1-1-1220000222-1-1-1-1222-1-1-1-1-1-12-1-12-1-1-1-1220000-2-2-21111-2-2-2111111-211-21111-2-20000
χ3922-222-2-222-222-2-2-1-1-1-1-1-1111111000022-222-2-222-222-2-2-1-1-1-1-1-11111110000-2-22-2-222-2-22-2-222111111-1-1-1-1-1-10000
χ4022-2-1-11122-2-1-1112-1-12-1-1-2-21111000022-2-1-11122-2-1-1112-1-12-1-1-2-211110000-2-2211-1-1-2-2211-1-1-211-21122-1-1-1-10000
χ4122-2-1-11122-2-1-111-12-1-12-111-2-211000022-2-1-11122-2-1-111-12-1-12-111-2-2110000-2-2211-1-1-2-2211-1-11-211-21-1-122-1-10000
χ4222-2-1-11122-2-1-111-1-12-1-121111-2-2000022-2-1-11122-2-1-111-1-12-1-121111-2-20000-2-2211-1-1-2-2211-1-111-211-2-1-1-1-1220000
χ432-202-2002-202-200222-2-2-200000000002-202-2002-202-200222-2-2-20000000000-220-2200-220-2200-2-2-22220000000000
χ442-202-2002-202-200-1-1-1111i3−i3i3−i3i3−i300002-202-2002-202-200-1-1-1111i3−i3i3−i3i3−i30000-220-2200-220-2200111-1-1-1−i3i3−i3i3−i3i30000
χ452-202-2002-202-200-1-1-1111−i3i3−i3i3−i3i300002-202-2002-202-200-1-1-1111−i3i3−i3i3−i3i30000-220-2200-220-2200111-1-1-1i3−i3i3−i3i3−i30000
χ462-20-11i3−i32-20-11i3−i32-1-1-21100i3−i3−i3i300002-20-11i3−i32-20-11i3−i32-1-1-21100i3−i3−i3i30000-2201-1−i3i3-2201-1−i3i3-2112-1-100−i3i3i3−i30000
χ472-20-11i3−i32-20-11i3−i3-12-11-21−i3i300i3−i300002-20-11i3−i32-20-11i3−i3-12-11-21−i3i300i3−i30000-2201-1−i3i3-2201-1−i3i31-21-12-1i3−i300−i3i30000
χ482-20-11i3−i32-20-11i3−i3-1-1211-2i3−i3−i3i30000002-20-11i3−i32-20-11i3−i3-1-1211-2i3−i3−i3i3000000-2201-1−i3i3-2201-1−i3i311-2-1-12−i3i3i3−i3000000
χ492-20-11−i3i32-20-11−i3i32-1-1-21100−i3i3i3−i300002-20-11−i3i32-20-11−i3i32-1-1-21100−i3i3i3−i30000-2201-1i3−i3-2201-1i3−i3-2112-1-100i3−i3−i3i30000
χ502-20-11−i3i32-20-11−i3i3-12-11-21i3−i300−i3i300002-20-11−i3i32-20-11−i3i3-12-11-21i3−i300−i3i30000-2201-1i3−i3-2201-1i3−i31-21-12-1−i3i300i3−i30000
χ512-20-11−i3i32-20-11−i3i3-1-1211-2−i3i3i3−i30000002-20-11−i3i32-20-11−i3i3-1-1211-2−i3i3i3−i3000000-2201-1i3−i3-2201-1i3−i311-2-1-12i3−i3−i3i3000000
χ523333333-1-1-1-1-1-1-100000000000011-1-13333333-1-1-1-1-1-1-100000000000011-1-1-3-3-3-3-3-3-31111111000000000000-1-111
χ533333333-1-1-1-1-1-1-1000000000000-1-1113333333-1-1-1-1-1-1-1000000000000-1-111-3-3-3-3-3-3-3111111100000000000011-1-1
χ5433-333-3-3-1-11-1-1110000000000001-1-1133-333-3-3-1-11-1-1110000000000001-1-11-3-33-3-33311-111-1-1000000000000-111-1
χ5533-333-3-3-1-11-1-111000000000000-111-133-333-3-3-1-11-1-111000000000000-111-1-3-33-3-33311-111-1-10000000000001-1-11
χ56666-3-3-3-3-2-2-211110000000000000000666-3-3-3-3-2-2-211110000000000000000-6-6-63333222-1-1-1-10000000000000000
χ5766-6-3-333-2-2211-1-1000000000000000066-6-3-333-2-2211-1-10000000000000000-6-6633-3-322-2-1-1110000000000000000
χ586-606-600-220-220000000000000000006-606-600-220-22000000000000000000-660-66002-202-2000000000000000000
χ596-60-333i3−3i3-2201-1−i3i300000000000000006-60-333i3−3i3-2201-1−i3i30000000000000000-6603-3−3i33i32-20-11i3−i30000000000000000
χ606-60-33−3i33i3-2201-1i3−i300000000000000006-60-33−3i33i3-2201-1i3−i30000000000000000-6603-33i3−3i32-20-11−i3i30000000000000000
χ61222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000
χ6222222222222222222222222222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111000000000000000000000000000000
χ6322-222-2-222-222-2-2222222-2-2-2-2-2-22-22-2-1-11-1-111-1-11-1-111-1-1-1-1-1-1111111-11-11000000000000000000000000000000
χ6422-222-2-222-222-2-2222222-2-2-2-2-2-2-22-22-1-11-1-111-1-11-1-111-1-1-1-1-1-11111111-11-1000000000000000000000000000000
χ6544444444444444-2-2-2-2-2-2-2-2-2-2-2-20000-2-2-2-2-2-2-2-2-2-2-2-2-2-21111111111110000000000000000000000000000000000
χ66444-2-2-2-2444-2-2-2-24-2-24-2-244-2-2-2-20000-2-2-21111-2-2-21111-211-211-2-211110000000000000000000000000000000000
χ67444-2-2-2-2444-2-2-2-2-24-2-24-2-2-244-2-20000-2-2-21111-2-2-211111-211-2111-2-2110000000000000000000000000000000000
χ68444-2-2-2-2444-2-2-2-2-2-24-2-24-2-2-2-2440000-2-2-21111-2-2-2111111-211-21111-2-20000000000000000000000000000000000
χ6944-444-4-444-444-4-4-2-2-2-2-2-22222220000-2-22-2-222-2-22-2-222111111-1-1-1-1-1-10000000000000000000000000000000000
χ7044-4-2-22244-4-2-2224-2-24-2-2-4-422220000-2-2211-1-1-2-2211-1-1-211-21122-1-1-1-10000000000000000000000000000000000
χ7144-4-2-22244-4-2-222-24-2-24-222-4-4220000-2-2211-1-1-2-2211-1-11-211-21-1-122-1-10000000000000000000000000000000000
χ7244-4-2-22244-4-2-222-2-24-2-242222-4-40000-2-2211-1-1-2-2211-1-111-211-2-1-1-1-1220000000000000000000000000000000000
χ734-404-4004-404-400444-4-4-40000000000-220-2200-220-2200-2-2-22220000000000000000000000000000000000000000
χ744-404-4004-404-400-2-2-22222i3−2i32i3−2i32i3−2i30000-220-2200-220-2200111-1-1-1−i3i3−i3i3−i3i30000000000000000000000000000000000
χ754-404-4004-404-400-2-2-2222−2i32i3−2i32i3−2i32i30000-220-2200-220-2200111-1-1-1i3−i3i3−i3i3−i30000000000000000000000000000000000
χ764-40-222i3−2i34-40-222i3−2i34-2-2-422002i3−2i3−2i32i30000-2201-1−i3i3-2201-1−i3i3-2112-1-100−i3i3i3−i30000000000000000000000000000000000
χ774-40-222i3−2i34-40-222i3−2i3-24-22-42−2i32i3002i3−2i30000-2201-1−i3i3-2201-1−i3i31-21-12-1i3−i300−i3i30000000000000000000000000000000000
χ784-40-222i3−2i34-40-222i3−2i3-2-2422-42i3−2i3−2i32i3000000-2201-1−i3i3-2201-1−i3i311-2-1-12−i3i3i3−i3000000000000000000000000000000000000
χ794-40-22−2i32i34-40-22−2i32i34-2-2-42200−2i32i32i3−2i30000-2201-1i3−i3-2201-1i3−i3-2112-1-100i3−i3−i3i30000000000000000000000000000000000
χ804-40-22−2i32i34-40-22−2i32i3-24-22-422i3−2i300−2i32i30000-2201-1i3−i3-2201-1i3−i31-21-12-1−i3i300i3−i30000000000000000000000000000000000
χ814-40-22−2i32i34-40-22−2i32i3-2-2422-4−2i32i32i3−2i3000000-2201-1i3−i3-2201-1i3−i311-2-1-12i3−i3−i3i3000000000000000000000000000000000000
χ826666666-2-2-2-2-2-2-200000000000022-2-2-3-3-3-3-3-3-31111111000000000000-1-111000000000000000000000000000000
χ836666666-2-2-2-2-2-2-2000000000000-2-222-3-3-3-3-3-3-3111111100000000000011-1-1000000000000000000000000000000
χ8466-666-6-6-2-22-2-2220000000000002-2-22-3-33-3-33311-111-1-1000000000000-111-1000000000000000000000000000000
χ8566-666-6-6-2-22-2-222000000000000-222-2-3-33-3-33311-111-1-10000000000001-1-11000000000000000000000000000000
χ86121212-6-6-6-6-4-4-422220000000000000000-6-6-63333222-1-1-1-10000000000000000000000000000000000000000000000
χ871212-12-6-666-4-4422-2-20000000000000000-6-6633-3-322-2-1-1110000000000000000000000000000000000000000000000
χ8812-12012-1200-440-44000000000000000000-660-66002-202-2000000000000000000000000000000000000000000000000
χ8912-120-666i3−6i3-4402-2−2i32i30000000000000000-6603-3−3i33i32-20-11i3−i30000000000000000000000000000000000000000000000
χ9012-120-66−6i36i3-4402-22i3−2i30000000000000000-6603-33i3−3i32-20-11−i3i30000000000000000000000000000000000000000000000

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