Finite Group Databasebeta

← Group #13151385

Character table — Group #13151385

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77
size11112222444446666666688121212121212121218181818181818181818181824242424242424242424363636363636363636363636363636363636727272727272
order1222366622412123366666666366666662222222244446666661212121222444466666666121212126612121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1
χ31111111111111111111111111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111
χ41111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ5111111111-1-1-1-1111111111-1111-1-1111111111-1-111-1-11-111-1-1-1-1-1-11-1-1-11-1111111-1-111-1-11-1-1-11-1
χ6111111111-1-1-1-1111111111-1111-1-11111111-1-111-1-1111-111-1-1-1-1-1-1-11-1-1-111111-1-111-1-111-11-1-1-11
χ7111111111-1-1-1-1111111111-1111-1-1111-1-1-1-111-1-1-1-1111-111-1-1-1-1-1-1-11111-1-1-1-1-111-1-1-1-111-11111-1
χ8111111111-1-1-1-1111111111-1111-1-1111-1-1-1-1-1-11111-1-11-111-1-1-1-1-1-11-111-11-1-1-1-1-1-11111-1-11-111-11
χ911111111-11-1-1-111111111-111-1-11111111-1-1111111-1-1-11-1-111-1-1-1-1-111-1-1-111-1-1111111-1-1-111-1-1-1
χ1011111111-11-1-1-111111111-111-1-11111111-1-1-1-1-1-1-1-111-11-1-111-1-1-1-11-11-11111-1-1-1-1-1-1-1-1111-11-111
χ1111111111-11-1-1-111111111-111-1-111111-1-1111111-1-111-11-1-111-1-1-1-11-1-11-1-1-1-1111111-1-1111-1-11-1-1
χ1211111111-11-1-1-111111111-111-1-111111-1-111-1-1-1-111-1-1-11-1-111-1-1-1-1-11-1111-1-111-1-1-1-111-1-1-11-1111
χ1311111111-1-111111111111-1-11-1-1-1-111111-1-111-1-11111-1-1-1-1-1-11111-1-1-11-1111-1-111-1-11111-1-1-11-11
χ1411111111-1-111111111111-1-11-1-1-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-111-111-1-1-1-111-1-1-1-111-111-1
χ1511111111-1-111111111111-1-11-1-1-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-11-1-11111-1-1-1-1-1-1111-1-11
χ1611111111-1-111111111111-1-11-1-1-1-1111-1-111-1-1111111-1-1-1-1-1-11111-1-11-11-1-1-111-1-1111111-1-11-11-1
χ1722222222222222-12-122-1-122-122-1-1-1-1-1000022220000-12-1-1-1-12-1-1-10000220000-1-1-1-100000000-1-1
χ1822222222222222-12-122-1-122-122-1-1-1-1-10000-2-2-2-20000-12-1-1-1-12-1-1-10000-2-2000011110000000011
χ192222222222222-12-12-1-12222-1-1-122-1-1-12222000000002-1-1-1-1-1-12-1-1002200-1-1-1-10000000000-1-100
χ202222222222222-12-12-1-12222-1-1-122-1-1-1-2-2-2-2000000002-1-1-1-1-1-12-1-100-2-200111100000000001100
χ21222222222-2-2-2-22-12-122-1-12-2-12211-1-1-1000022-2-20000-1-2-1-111-211100002-20000-1-11100000000-11
χ22222222222-2-2-2-22-12-122-1-12-2-12211-1-1-10000-2-2220000-1-2-1-111-21110000-22000011-1-1000000001-1
χ23222222222-2-2-2-2-12-12-1-1222-2-1-1-1-2-2-1-1-122220000000021-1-1111-21100-2-200-1-1-1-100000000001100
χ24222222222-2-2-2-2-12-12-1-1222-2-1-1-1-2-2-1-1-1-2-2-2-20000000021-1-1111-21100220011110000000000-1-100
χ2522222222-22-2-2-22-12-122-1-1-22-1-2-2-1-1-1-1-10000222200001211-1-1-21110000-2-20000-1-1-1-10000000011
χ2622222222-22-2-2-22-12-122-1-1-22-1-2-2-1-1-1-1-10000-2-2-2-200001211-1-1-21110000220000111100000000-1-1
χ2722222222-22-2-2-2-12-12-1-122-22-11122-1-1-122-2-200000000-2-111-1-11-211002-200-1-1110000000000-1100
χ2822222222-22-2-2-2-12-12-1-122-22-11122-1-1-1-2-22200000000-2-111-1-11-21100-220011-1-100000000001-100
χ2922222222-2-22222-12-122-1-1-2-2-1-2-211-1-1-1000022-2-200001-211112-1-1-10000-220000-1-111000000001-1
χ3022222222-2-22222-12-122-1-1-2-2-1-2-211-1-1-10000-2-22200001-211112-1-1-100002-2000011-1-100000000-11
χ3122222222-2-2222-12-12-1-122-2-2-111-2-2-1-1-122-2-200000000-211111-12-1-100-2200-1-11100000000001-100
χ3222222222-2-2222-12-12-1-122-2-2-111-2-2-1-1-1-2-22200000000-211111-12-1-1002-20011-1-10000000000-1100
χ332-22-22-22-20000022-2-22-22-200200002-2-2002-2002-2002-20000000000000000002-2002-2002-2000000
χ342-22-22-22-20000022-2-22-22-200200002-2-2002-200-2200-220000000000000000002-200-2200-22000000
χ352-22-22-22-20000022-2-22-22-200200002-2-200-22002-200-22000000000000000000-22002-200-22000000
χ362-22-22-22-20000022-2-22-22-200200002-2-200-2200-22002-2000000000000000000-2200-22002-2000000
χ372-2-222-2-220000022-2-2-22-220020000-22-22-2002-2002-20000000000000000002-2002-2002-200000000
χ382-2-222-2-220000022-2-2-22-220020000-22-22-200-2200-220000000000000000002-200-2200-2200000000
χ392-2-222-2-220000022-2-2-22-220020000-22-2-22002-200-22000000000000000000-22002-200-2200000000
χ402-2-222-2-220000022-2-2-22-220020000-22-2-2200-22002-2000000000000000000-2200-22002-200000000
χ414444444444444-2-2-2-2-2-2-2-2441-2-2-2-2111000000000000-2-21111-2-211000000000000000000000000
χ42444444444-4-4-4-4-2-2-2-2-2-2-2-24-41-2-222111000000000000-2211-1-122-1-1000000000000000000000000
χ4344444444-44-4-4-4-2-2-2-2-2-2-2-2-44122-2-21110000000000002-2-1-11122-1-1000000000000000000000000
χ4444444444-4-4444-2-2-2-2-2-2-2-2-4-41222211100000000000022-1-1-1-1-2-211000000000000000000000000
χ4544-4-444-4-4000004444-4-4-4-40040000-4-440000000000000000000000000000000000000000000000
χ4644-4-444-4-4000004-24-2-4-42200-2002i3−2i322-200000000000000002i3−2i30000000000000000000000000000
χ4744-4-444-4-4000004-24-2-4-42200-200−2i32i322-20000000000000000−2i32i30000000000000000000000000000
χ4844-4-444-4-400000-24-2422-4-400-22i3−2i30022-2000000000000002i3−2i3000000000000000000000000000000
χ4944-4-444-4-400000-24-2422-4-400-2−2i32i30022-200000000000000−2i32i3000000000000000000000000000000
χ5044-4-444-4-400000-2-2-2-222220012i3−2i32i3−2i3-1-1100000000000000−i3i3−i3i3003-3000000000000000000000000
χ5144-4-444-4-400000-2-2-2-222220012i3−2i3−2i32i3-1-1100000000000000−i3i3i3−i300-33000000000000000000000000
χ5244-4-444-4-400000-2-2-2-22222001−2i32i32i3−2i3-1-1100000000000000i3−i3−i3i300-33000000000000000000000000
χ5344-4-444-4-400000-2-2-2-22222001−2i32i3−2i32i3-1-1100000000000000i3−i3i3−i3003-3000000000000000000000000
χ544-44-44-44-4000004-2-424-4-2200-20000-2220000004-400000000000000000000000000-220000000000
χ554-44-44-44-4000004-2-424-4-2200-20000-222000000-44000000000000000000000000002-20000000000
χ564-44-44-44-400000-242-4-224-400-20000-222004-400000000000000000000000000-2200000000000000
χ574-44-44-44-400000-242-4-224-400-20000-22200-44000000000000000000000000002-200000000000000
χ584-4-444-4-44000004-2-42-442-200-200002-2200004-400000000000000000000000000-22000000000000
χ594-4-444-4-44000004-2-42-442-200-200002-220000-44000000000000000000000000002-2000000000000
χ604-4-444-4-4400000-242-42-2-4400-200002-224-400000000000000000000000000-220000000000000000
χ614-4-444-4-4400000-242-42-2-4400-200002-22-44000000000000000000000000002-20000000000000000
χ626666-3-3-3-3666-3-300000000-3-300000000000000002222000000000022000000000000-1-1-1-1-1-10000
χ636666-3-3-3-3666-3-300000000-3-30000000000000000-2-2-2-20000000000-2-20000000000001111110000
χ646666-3-3-3-36-6-63300000000-33000000000000000022-2-200000000002-2000000000000-1-111-110000
χ656666-3-3-3-36-6-63300000000-330000000000000000-2-2220000000000-2200000000000011-1-11-10000
χ666666-3-3-3-3-66-633000000003-3000000000000000022-2-20000000000-22000000000000-1-1111-10000
χ676666-3-3-3-3-66-633000000003-30000000000000000-2-22200000000002-200000000000011-1-1-110000
χ686666-3-3-3-3-6-66-3-30000000033000000000000000022220000000000-2-2000000000000-1-1-1-1110000
χ696666-3-3-3-3-6-66-3-300000000330000000000000000-2-2-2-20000000000220000000000001111-1-10000
χ708-88-88-88-800000-4-444-44-4400200002-2-20000000000000000000000000000000000000000000000
χ718-8-888-8-8800000-4-4444-44-40020000-22-20000000000000000000000000000000000000000000000
χ721212-12-12-6-6660006i3−6i30000000000000000000000000000000000000000000000000000000000000000
χ731212-12-12-6-666000−6i36i30000000000000000000000000000000000000000000000000000000000000000
χ7412-1212-12-66-660000000000000000000000000000000004-400000000000000000000000000-22000000
χ7512-1212-12-66-66000000000000000000000000000000000-44000000000000000000000000002-2000000
χ7612-12-1212-666-600000000000000000000000000000004-400000000000000000000000000-2200000000
χ7712-12-1212-666-60000000000000000000000000000000-44000000000000000000000000002-200000000

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