Finite Group Databasebeta

← Group #13149498

Character table — Group #13149498

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77
size11112222444446666666688121212121212121218181818181818181818181824242424242424242424363636363636363636363636363636363636727272727272
order12223666444121233666666121236661212121222444444444412121212121212121212244444661212121212121212121261212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-111-1-1-1-1-1-111111111111-1-11-1-111-1-1-1-111-1-1-1-11-1-11-1-1
χ31111111111111111111111111111111-1-111-1-1-1-111-1-11111111111-111-1-1-1-1-11111-1-1-1-1-1-1-111-1-1-1
χ41111111111111111111111111111111-1-1-1-1-1-111-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111
χ5111111111-1-1-1-111111111-11111111-1-11111-1-111-1-1111-1-1-111-1-1-1-1-1-111-1-111-1-111-1-11111-11-11-1-1
χ6111111111-1-1-1-111111111-11111111-1-111-1-1-1-1-1-111-1-11-1-1-111-1-1-1-1-11-11111111-1-1-1-1-1-1-1-1-1-11111
χ7111111111-1-1-1-111111111-11111111-1-1-1-11111-1-1-1-1-1-11-1-1-111-1-1-1-11-11-111-1-1-1-11111-1-1-1-111-1-111
χ8111111111-1-1-1-111111111-11111111-1-1-1-1-1-1111111111-1-1-111-1-1-1-111-1-1-1-1-1-111-1-11111111-11-1-1-1
χ911111111-11-11111111111-1-11111-1-1-1-11111-1-1-1-11111-111-1-1-111-1-11-1-1-11-1111111-1-1-1-1111-1-1-11-1
χ1011111111-11-11111111111-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-111-1-1-111-1-1111-1-1111-1-1-1-1-1-111-1-1111-1-11
χ1111111111-11-11111111111-1-11111-1-1-1-1-1-111111111-1-1-111-1-1-111-1-1-1-1-11-11-1-111111111-1-1-1-1-11-11
χ1211111111-11-11111111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-111-1-1-111-1-1-11111-1-1-1-1-1-1-111-1-111-11111-1
χ1311111111-1-11-1-1111111111-11111-1-111111111-1-1-1-111-1-1-11-1-1-1-111-11-1-1-1111-1-11111-1-111-1-11-1-11
χ1411111111-1-11-1-1111111111-11111-1-11111-1-1111111-1-1-1-1-11-1-1-1-111-1-11-11-11111-1-11111-1-1-11-1-11-1
χ1511111111-1-11-1-1111111111-11111-1-111-1-111-1-111-1-1-1-1-1-1-11-1-1-1-11111-111-1-1-1-1-111-1-111-1-11-1111-1
χ1611111111-1-11-1-1111111111-11111-1-111-1-1-1-1-1-1-1-11111-1-1-11-1-1-1-1111-111-11-1-111-1-1-1-1-1-11111-11-11
χ1722222222222222-12-1-12-1222-1-1-1-122-1-1220022000000-12-12-1-1-1-1-1-1200200-1-10000-1-10000-100-100
χ1822222222222222-12-1-12-1222-1-1-1-122-1-1-2-200-2-2000000-12-12-1-1-1-1-1-1-200-200110000110000100100
χ192222222222222-12-122-12-122-1-1-1-1-1-1220000002200222-12-1-1-1-1-1-1-100002200000000-1-1-1-10000-1-1
χ202222222222222-12-122-12-122-1-1-1-1-1-122000000-2-200-2-22-12-1-1-1-1-1-1-10000-2-2000000001111000011
χ21222222222-2-2-2-22-12-1-12-12-22-1-1-1-122112200-2-2000000-1-21-2-1-11111-200200-1-10000110000100-100
χ22222222222-2-2-2-22-12-1-12-12-22-1-1-1-12211-2-20022000000-1-21-2-1-11111200-200110000-1-10000-100100
χ23222222222-2-2-2-2-12-122-12-1-22-1-1-1-1-1-1-2-200000022002221-21-1-111110000-2-200000000-1-1-1-1000011
χ24222222222-2-2-2-2-12-122-12-1-22-1-1-1-1-1-1-2-2000000-2-200-2-221-21-1-111110000220000000011110000-1-1
χ2522222222-22-2222-12-1-12-12-2-2-1-1-1-1-2-2112200-2-200000012-1-211-1-111200-200-1-10000110000-100100
χ2622222222-22-2222-12-1-12-12-2-2-1-1-1-1-2-211-2-2002200000012-1-211-1-111-200200110000-1-10000100-100
χ2722222222-22-222-12-122-12-1-2-2-1-1-1-111-2-20000002200-2-2-2-12111-1-1110000-2200000000-1-11100001-1
χ2822222222-22-222-12-122-12-1-2-2-1-1-1-111-2-2000000-2-20022-2-12111-1-11100002-20000000011-1-10000-11
χ2922222222-2-22-2-22-12-1-12-122-2-1-1-1-1-2-2-1-12200220000001-2121111-1-1-200-200-1-10000-1-10000100100
χ3022222222-2-22-2-22-12-1-12-122-2-1-1-1-1-2-2-1-1-2-200-2-20000001-2121111-1-1200200110000110000-100-100
χ3122222222-2-22-2-2-12-122-12-12-2-1-1-1-111220000002200-2-2-21-2-11111-1-100002-200000000-1-1110000-11
χ3222222222-2-22-2-2-12-122-12-12-2-1-1-1-11122000000-2-20022-21-2-11111-1-10000-220000000011-1-100001-1
χ332-22-22-22-20000022-2-2-222-2002-2-2200002-22i−2i0000002i−2i00000000000000002-2002i−2i00002i−2i000000
χ342-22-22-22-20000022-2-2-222-2002-2-2200002-2−2i2i000000−2i2i00000000000000002-200−2i2i0000−2i2i000000
χ352-22-22-22-20000022-2-2-222-2002-2-220000-222i−2i000000−2i2i0000000000000000-22002i−2i0000−2i2i000000
χ362-22-22-22-20000022-2-2-222-2002-2-220000-22−2i2i0000002i−2i0000000000000000-2200−2i2i00002i−2i000000
χ372-2-2222-2-20000022-2-22-2-220022-2-2000000002i−2i2i−2i2-2000000000000000000002-2002i−2i2i−2i00000000
χ382-2-2222-2-20000022-2-22-2-220022-2-2000000002i−2i−2i2i-2200000000000000000000-22002i−2i−2i2i00000000
χ392-2-2222-2-20000022-2-22-2-220022-2-200000000−2i2i2i−2i-2200000000000000000000-2200−2i2i2i−2i00000000
χ402-2-2222-2-20000022-2-22-2-220022-2-200000000−2i2i−2i2i2-2000000000000000000002-200−2i2i−2i2i00000000
χ414444444444444-2-2-2-2-2-2-2-2441111-2-2-2-2000000000000-2-2-2-2111111000000000000000000000000
χ42444444444-4-4-4-4-2-2-2-2-2-2-2-2-441111-2-222000000000000-222211-1-1-1-1000000000000000000000000
χ4344444444-44-444-2-2-2-2-2-2-2-2-4-4111122220000000000002-2-22-1-111-1-1000000000000000000000000
χ4444444444-4-44-4-4-2-2-2-2-2-2-2-24-4111122-2-2000000000000222-2-1-1-1-111000000000000000000000000
χ4544-4-44-4-44000004444-4-4-4-4004-44-400000000000000000000000000000000000000000000000000
χ4644-4-44-4-44000004-24-22-42-400-22-220023−230000000000000000000023−23000000000000000000000000
χ4744-4-44-4-44000004-24-22-42-400-22-2200−232300000000000000000000−2323000000000000000000000000
χ4844-4-44-4-4400000-24-24-42-4200-22-22−2i32i3000000000000000000−2i32i30000000000000000000000000000
χ4944-4-44-4-4400000-24-24-42-4200-22-222i3−2i30000000000000000002i3−2i30000000000000000000000000000
χ5044-4-44-4-4400000-2-2-2-22222001-11-1−2i32i323−230000000000000000i3−i33i−3i−33000000000000000000000000
χ5144-4-44-4-4400000-2-2-2-22222001-11-1−2i32i3−23230000000000000000i3−i3−3i3i3−3000000000000000000000000
χ5244-4-44-4-4400000-2-2-2-22222001-11-12i3−2i323−230000000000000000−i3i3−3i3i−33000000000000000000000000
χ5344-4-44-4-4400000-2-2-2-22222001-11-12i3−2i3−23230000000000000000−i3i33i−3i3−3000000000000000000000000
χ544-44-44-44-4000004-2-4224-2-400-222-200004-400000000000000000000000000-220000000000000000
χ554-44-44-44-4000004-2-4224-2-400-222-20000-44000000000000000000000000002-20000000000000000
χ564-44-44-44-400000-242-4-4-24200-222-2000000000000004i−4i00000000000000000000000000−2i2i000000
χ574-44-44-44-400000-242-4-4-24200-222-200000000000000−4i4i000000000000000000000000002i−2i000000
χ584-4-4444-4-4000004-2-42-2-42400-2-222000000004i−4i0000000000000000000000000000−2i2i0000000000
χ594-4-4444-4-4000004-2-42-2-42400-2-22200000000−4i4i00000000000000000000000000002i−2i0000000000
χ604-4-4444-4-400000-242-442-4-200-2-22200000000004i−4i0000000000000000000000000000−2i2i00000000
χ614-4-4444-4-400000-242-442-4-200-2-2220000000000−4i4i00000000000000000000000000002i−2i00000000
χ626666-3-3-3-3666-3-300000000-3-300000000002200002200000000000002200000-1-1-1-10000000-1-1000
χ636666-3-3-3-3666-3-300000000-3-30000000000-2-20000-2-20000000000000-2-2000001111000000011000
χ646666-3-3-3-36-6-633000000003-30000000000220000-2-20000000000000-220000011-1-10000000-11000
χ656666-3-3-3-36-6-633000000003-30000000000-2-200002200000000000002-200000-1-11100000001-1000
χ666666-3-3-3-3-66-6-3-300000000330000000000220000220000000000000-2-200000-1-1-1-1000000011000
χ676666-3-3-3-3-66-6-3-300000000330000000000-2-20000-2-20000000000000220000011110000000-1-1000
χ686666-3-3-3-3-6-663300000000-330000000000220000-2-200000000000002-20000011-1-100000001-1000
χ696666-3-3-3-3-6-663300000000-330000000000-2-20000220000000000000-2200000-1-1110000000-11000
χ708-88-88-88-800000-4-4444-4-44002-2-2200000000000000000000000000000000000000000000000000
χ718-8-8888-8-800000-4-444-444-40022-2-200000000000000000000000000000000000000000000000000
χ721212-12-12-666-600063−630000000000000000000000000000000000000000000000000000000000000000
χ731212-12-12-666-6000−63630000000000000000000000000000000000000000000000000000000000000000
χ7412-1212-12-66-6600000000000000000000000004i−4i0000000000000000000000000000−2i2i000000000000
χ7512-1212-12-66-660000000000000000000000000−4i4i00000000000000000000000000002i−2i000000000000
χ7612-12-1212-6-66600000000000000000000000000000004-400000000000000000000-2200000000000000
χ7712-12-1212-6-6660000000000000000000000000000000-44000000000000000000002-200000000000000

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