Finite Group Databasebeta

← Group #13141077

Character table — Group #13141077

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size11222224444466666688121212121212121212121212122424242424242424363636363636363636363636363636363636727272727272727272
order1223446246121233661212612366666121212121212126666121212122224446666661212121212122668824242424
χ111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-11-1-1-111
χ411111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1111-1-1
χ51111111-1-1111111111-1-111-1-111111-1-111-11-1-1-11-1-111-1-1111111-1-1-1-11111111-1-1-1-1-1-1
χ61111111-1-1111111111-1-111-1-111111-1-111-11-1-1-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1111111
χ71111111-1-1111111111-1-111-1-111111-1-111-11-1-1-11-1-1-1-11111-1-1-1-111111111-1-1-1-1111-1-1
χ81111111-1-1111111111-1-111-1-111111-1-111-11-1-1-11-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-111
χ92222222222222-12-12222-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-1222200-1-1-1-1-1-1-1-10000000000000
χ102222222222222-12-12222-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-1-2-2-2-200111111110000000000000
χ11222222222222-12-12-1-122-1222-1-1-12222-1-1-1-1-1-1-1-1-1-100002200000000-1-1-1-10002000-1-1
χ12222222222222-12-12-1-122-1222-1-1-12222-1-1-1-1-1-1-1-1-1-10000-2-2000000001111000-200011
χ132222222-2-22222-12-122-2-2-1-111-122-1-111-1-1-2-111-2-11122-2-200-1-1-1-111110000000000000
χ142222222-2-22222-12-122-2-2-1-111-122-1-111-1-1-2-111-2-111-2-222001111-1-1-1-10000000000000
χ152222222-2-2222-12-12-1-1-2-2-12-2-2-1-1-122-2-2-1-11-1111-11100002200000000-1-1-1-1000-200011
χ162222222-2-2222-12-12-1-1-2-2-12-2-2-1-1-122-2-2-1-11-1111-1110000-2-20000000011110002000-1-1
χ172222-2-22002-2-22222-2-200220022-2-2-200-2-202000-2002-2000022-2-200000000000000000
χ182222-2-22002-2-22222-2-200220022-2-2-200-2-202000-200-220000-2-22200000000000000000
χ192222-2-22002-2-22-12-1-2-200-1-1−i3i3-12-211−i3i3110-1−i3i301−i3i32-20000-1-111−i3i3−i3i30000000000000
χ202222-2-22002-2-22-12-1-2-200-1-1−i3i3-12-211−i3i3110-1−i3i301−i3i3-22000011-1-1i3−i3i3−i30000000000000
χ212222-2-22002-2-22-12-1-2-200-1-1i3−i3-12-211i3−i3110-1i3−i301i3−i32-20000-1-111i3−i3i3−i30000000000000
χ222222-2-22002-2-22-12-1-2-200-1-1i3−i3-12-211i3−i3110-1i3−i301i3−i3-22000011-1-1−i3i3−i3i30000000000000
χ2322-222-2200-22-2222222002-2002-2-22-200220-2000-200002-200000022-2-20000000000000
χ2422-222-2200-22-2222222002-2002-2-22-200220-2000-20000-22000000-2-2220000000000000
χ2522-222-2200-22-22-12-12200-11−i3i3-1-2-2-11i3−i3-1-101−i3i301i3−i3002-200−i3i3−i3i3-1-1110000000000000
χ2622-222-2200-22-22-12-12200-11−i3i3-1-2-2-11i3−i3-1-101−i3i301i3−i300-2200i3−i3i3−i311-1-10000000000000
χ2722-222-2200-22-22-12-12200-11i3−i3-1-2-2-11−i3i3-1-101i3−i301−i3i3002-200i3−i3i3−i3-1-1110000000000000
χ2822-222-2200-22-22-12-12200-11i3−i3-1-2-2-11−i3i3-1-101i3−i301−i3i300-2200−i3i3−i3i311-1-10000000000000
χ2922-22-2222-2-2-222222-2-22-22-2222-22-22-2-2-2-22-222-22-2-2000000000000000000000000000
χ3022-22-2222-2-2-222-12-1-2-22-2-11-1-1-1-221-1111121-1-1-2-111000000−i3i3i3−i3−i3i3i3−i30000000000000
χ3122-22-2222-2-2-222-12-1-2-22-2-11-1-1-1-221-1111121-1-1-2-111000000i3−i3−i3i3i3−i3−i3i30000000000000
χ3222-22-2222-2-2-22-12-12112-2-1-222-11-1-22-2-211-11-1-11-1110000000000000033−3−300000003−3
χ3322-22-2222-2-2-22-12-12112-2-1-222-11-1-22-2-211-11-1-11-11100000000000000−3−3330000000−33
χ3422-22-222-22-2-222222-2-2-222-2-2-22-22-2222-2-2-2-2-2-22222000000000000000000000000000
χ3522-22-222-22-2-222-12-1-2-2-22-1111-1-221-1-1-111-21112-1-1-1000000−i3i3i3−i3i3−i3−i3i30000000000000
χ3622-22-222-22-2-222-12-1-2-2-22-1111-1-221-1-1-111-21112-1-1-1000000i3−i3−i3i3−i3i3i3−i30000000000000
χ3722-22-222-22-2-22-12-1211-22-1-2-2-2-11-1-2222111111-1-1-1-10000000000000033−3−30000000−33
χ3822-22-222-22-2-22-12-1211-22-1-2-2-2-11-1-2222111111-1-1-1-100000000000000−3−33300000003−3
χ39444444444444-2-2-2-2-2-2441-2-2-21-2-2-2-2-2-211-2111-2111000000000000000000000000000
χ404444444-4-4444-2-2-2-2-2-2-4-41-2221-2-2-2-2221121-1-121-1-1000000000000000000000000000
χ414444-4-44004-4-4-24-242200-2400-2-22-4-400220-2000200000000000000000000000000000
χ424444-4-44004-4-4-2-2-2-222001-2−2i32i31-2222−2i32i3-1-101i3−i30-1i3−i3000000000000000000000000000
χ434444-4-44004-4-4-2-2-2-222001-22i3−2i31-22222i3−2i3-1-101−i3i30-1−i3i3000000000000000000000000000
χ4444-444-4400-44-4-24-24-2-200-2-400-2224-400-2-202000200000000000000000000000000000
χ4544-444-4400-44-4-2-2-2-2-2-20012−2i32i3122-222i3−2i3110-1i3−i30-1−i3i3000000000000000000000000000
χ4644-444-4400-44-4-2-2-2-2-2-200122i3−2i3122-22−2i32i3110-1−i3i30-1i3−i3000000000000000000000000000
χ4744-44-4444-4-4-44-2-2-2-2224-412-2-212-22-222-1-1-2-11121-1-1000000000000000000000000000
χ4844-44-444-44-4-44-2-2-2-222-44122212-22-2-2-2-1-12-1-1-1-2111000000000000000000000000000
χ494-40400-40000044-4-400004000-4000000000000000000002-2000000002-22-2000000000
χ504-40400-40000044-4-400004000-400000000000000000000-2200000000-22-22000000000
χ514-40400-400000-242-423−2300-2000200000023−230000000000002-200000000−1+31−3−1−31+3000000000
χ524-40400-400000-242-423−2300-2000200000023−23000000000000-22000000001−3−1+31+3−1−3000000000
χ534-40400-400000-242-4−232300-20002000000−23230000000000002-200000000−1−31+3−1+31−3000000000
χ544-40400-400000-242-4−232300-20002000000−2323000000000000-22000000001+3−1−31−3−1+3000000000
χ55666-366-366-3-3-3000000-3-30000000000000000000000000000000000000002-1-102-1-100
χ56666-366-366-3-3-3000000-3-3000000000000000000000000000000000000000-2110-21100
χ57666-366-3-6-6-3-3-3000000330000000000000000000000000000000000000002-1-10-21100
χ58666-366-3-6-6-3-3-300000033000000000000000000000000000000000000000-21102-1-100
χ5966-6-3-66-36-633-3000000-330000000000000000000000000000000000000000−i3i300−i3i300
χ6066-6-3-66-36-633-3000000-330000000000000000000000000000000000000000i3−i300i3−i300
χ6166-6-3-66-3-6633-30000003-30000000000000000000000000000000000000000−i3i300i3−i300
χ6266-6-3-66-3-6633-30000003-30000000000000000000000000000000000000000i3−i300−i3i300
χ638-80800-8000008-4-840000-400040000000000000000000000000000000000000000000
χ648-80800-800000-4-44443−43002000-2000000−232300000000000000000000000000000000000
χ658-80800-800000-4-444−4343002000-200000023−2300000000000000000000000000000000000
χ66121212-6-12-12-600-66600000000000000000000000000000000000000000000000000000000
χ671212-12-612-12-6006-6600000000000000000000000000000000000000000000000000000000
χ6824-240-1200120000000000000000000000000000000000000000000000000000000000000

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