Finite Group Databasebeta

← Group #13149543

Character table — Group #13149543

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77
size11112222444446666666688121212121212121218181818181818181818181824242424242424242424363636363636363636363636363636363636727272727272
order12223666444121233666666121236661212121222222244444412121212121212121212222444666666121212121212666121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-111-1-1-111-1-1-1
χ31111111111111111111111111111111-1-111-1-1-1-111-1-11111111111-1-111-1-1-1-111-1-1-1-1-1-1111-1-1-1-11
χ41111111111111111111111111111111-1-1-1-111-1-1-1-1111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-111-1
χ5111111111-1-1-1-1111111111-1111111-1-11111-1-111-1-1111-1-1-111-1-1-1-1-1-1-111-1-1-111111111-1-1-1-1-11-11
χ6111111111-1-1-1-1111111111-1111111-1-111-1-1111111-1-11-1-1-111-1-1-1-1-1-11-1-1111-1-111-1-111111-1-1-11-1
χ7111111111-1-1-1-1111111111-1111111-1-1-1-11111-1-1-1-1-1-11-1-1-111-1-1-1-111-11-111111-1-1-1-1-1-1-1-1-111-111
χ8111111111-1-1-1-1111111111-1111111-1-1-1-1-1-1-1-1-1-111111-1-1-111-1-1-1-1111-11-1-1-1-1-1-1-111-1-1111111-1-1
χ911111111-11-11111111111-1-11111-1-1-1-1111111-1-1-1-111-11-11-1-111-1-11-11-1-1-111111111-1-1-1-111-1-1-1-1
χ1011111111-11-11111111111-1-11111-1-1-1-111-1-1-1-1-1-111-1-1-11-11-1-111-1-11-1-1111-1-1-1-111-1-1-1-111-11-1111
χ1111111111-11-11111111111-1-11111-1-1-1-1-1-111-1-111-1-1-1-1-11-11-1-111-1-1-111-111-1-111-1-1-1-111-1-11-1111-1
χ1211111111-11-11111111111-1-11111-1-1-1-1-1-1-1-111111111-11-11-1-111-1-1-11-11-1-111-1-1-1-1111111-1-11-1-11
χ1311111111-1-11-1-111111111-111111-1-1111111-1-1-1-11111-1-11-1-1-1-1-111-11-1-1-11-1-1111111-1-111-1-11-11-1
χ1411111111-1-11-1-111111111-111111-1-11111-1-111-1-1-1-1-1-1-1-11-1-1-1-1-111-11111-111-1-111-1-1-1-1-1-11-111-11
χ1511111111-1-11-1-111111111-111111-1-111-1-111111111-1-1-1-11-1-1-1-1-1111-1-1-11-11111-1-1-1-11111-11-11-1-1
χ1611111111-1-11-1-111111111-111111-1-111-1-1-1-1-1-111-1-111-1-11-1-1-1-1-1111-111-11-1-1-1-1-1-11111-1-111-1-111
χ1722222222222222-1-12-12-1222-1-1-1-1-1-1222200002200002-1-12-1-1-1-1-1-12200000000-1-100-1-1000-1-1000
χ1822222222222222-1-12-12-1222-1-1-1-1-1-122-2-20000-2-200002-1-12-1-1-1-1-1-1-2-20000000011001100011000
χ192222222222222-122-12-12-122-1-1-1-122-1-1002200002200-122-1-1-1-1-1-1-100220000-1-1000000-1-1-10000-1
χ202222222222222-122-12-12-122-1-1-1-122-1-100-2-20000-2-200-122-1-1-1-1-1-1-100-2-200001100000011100001
χ21222222222-2-2-2-22-1-12-12-122-2-1-1-1-1-1-1-2-2220000220000211-2-1-11111-2-200000000-1-100-1-100011000
χ22222222222-2-2-2-22-1-12-12-122-2-1-1-1-1-1-1-2-2-2-20000-2-20000211-2-1-111112200000000110011000-1-1000
χ23222222222-2-2-2-2-122-12-12-12-2-1-1-1-1221100220000-2-200-1-2-21-1-1111100-220000-1-10000001110000-1
χ24222222222-2-2-2-2-122-12-12-12-2-1-1-1-1221100-2-200002200-1-2-21-1-11111002-2000011000000-1-1-100001
χ2522222222-22-2222-1-12-12-12-2-2-1-1-1-111-2-2220000-2-20000-2-11211-1-1112-200000000-1-10011000-11000
χ2622222222-22-2222-1-12-12-12-2-2-1-1-1-111-2-2-2-20000220000-2-11211-1-111-22000000001100-1-10001-1000
χ2722222222-22-222-122-12-12-1-2-2-1-1-1-1-2-21100220000-2-20012-2-111-1-111002-20000-1-100000011-100001
χ2822222222-22-222-122-12-12-1-2-2-1-1-1-1-2-21100-2-20000220012-2-111-1-11100-22000011000000-1-110000-1
χ2922222222-2-22-2-22-1-12-12-12-22-1-1-1-11122220000-2-20000-21-1-21111-1-1-2200000000-1-100110001-1000
χ3022222222-2-22-2-22-1-12-12-12-22-1-1-1-11122-2-20000220000-21-1-21111-1-12-2000000001100-1-1000-11000
χ3122222222-2-22-2-2-122-12-12-1-22-1-1-1-1-2-2-1-10022000022001-2211111-1-100-2-20000-1-1000000-1-1100001
χ3222222222-2-22-2-2-122-12-12-1-22-1-1-1-1-2-2-1-100-2-20000-2-2001-2211111-1-1002200001100000011-10000-1
χ3322-2-222-2-200000222-2-22-2-20022-2-2000000002-22i−2i2i−2i0000000000000000002-20000002i−2i2i−2i000000
χ3422-2-222-2-200000222-2-22-2-20022-2-2000000002-2−2i2i−2i2i0000000000000000002-2000000−2i2i−2i2i000000
χ3522-2-222-2-200000222-2-22-2-20022-2-200000000-222i−2i−2i2i000000000000000000-220000002i−2i−2i2i000000
χ3622-2-222-2-200000222-2-22-2-20022-2-200000000-22−2i2i2i−2i000000000000000000-22000000−2i2i2i−2i000000
χ372-2-222-2-220000022-2-22-2-22002-2-2200002-22-20000002-20000000000000000002-22-22-20000000000
χ382-2-222-2-220000022-2-22-2-22002-2-2200002-2-22000000-22000000000000000000-222-2-220000000000
χ392-2-222-2-220000022-2-22-2-22002-2-220000-222-2000000-220000000000000000002-2-22-220000000000
χ402-2-222-2-220000022-2-22-2-22002-2-220000-22-220000002-2000000000000000000-22-222-20000000000
χ414444444444444-2-2-2-2-2-2-2-2441111-2-2-2-2000000000000-2-2-2-2111111000000000000000000000000
χ42444444444-4-4-4-4-2-2-2-2-2-2-2-24-41111-2-222000000000000-222211-1-1-1-1000000000000000000000000
χ4344444444-44-444-2-2-2-2-2-2-2-2-4-4111122220000000000002-22-2-1-111-1-1000000000000000000000000
χ4444444444-4-44-4-4-2-2-2-2-2-2-2-2-44111122-2-200000000000022-22-1-1-1-111000000000000000000000000
χ4544-4-444-4-4000004-2-2-4242-400-2-22200000000004i−4i0000000000000000000000000000−2i2i00000000
χ4644-4-444-4-4000004-2-2-4242-400-2-2220000000000−4i4i00000000000000000000000000002i−2i00000000
χ4744-4-444-4-400000-2442-4-2-4200-2-2220000000000004i−4i0000000000000000000000000000−2i2i000000
χ4844-4-444-4-400000-2442-4-2-4200-2-222000000000000−4i4i00000000000000000000000000002i−2i000000
χ494-44-44-44-40000044-44-4-44-4004-44-400000000000000000000000000000000000000000000000000
χ504-44-44-44-4000004-2242-4-2-400-22-22−2i32i3000000000000000000−2i32i30000000000000000000000000000
χ514-44-44-44-4000004-2242-4-2-400-22-222i3−2i30000000000000000002i3−2i30000000000000000000000000000
χ524-44-44-44-400000-24-4-2-424200-22-220023−230000000000000000000023−23000000000000000000000000
χ534-44-44-44-400000-24-4-2-424200-22-2200−232300000000000000000000−2323000000000000000000000000
χ544-44-44-44-400000-2-22-222-22001-11-1−2i32i323−230000000000000000i3−i33i−3i−33000000000000000000000000
χ554-44-44-44-400000-2-22-222-22001-11-1−2i32i3−23230000000000000000i3−i3−3i3i3−3000000000000000000000000
χ564-44-44-44-400000-2-22-222-22001-11-12i3−2i323−230000000000000000−i3i3−3i3i−33000000000000000000000000
χ574-44-44-44-400000-2-22-222-22001-11-12i3−2i3−23230000000000000000−i3i33i−3i3−3000000000000000000000000
χ584-4-444-4-44000004-22-4-2-42400-222-200004-4000000000000000000000000000000-22000000000000
χ594-4-444-4-44000004-22-4-2-42400-222-20000-440000000000000000000000000000002-2000000000000
χ604-4-444-4-4400000-24-4242-4-200-222-20000004-400000000000000000000000000-2200000000000000
χ614-4-444-4-4400000-24-4242-4-200-222-2000000-44000000000000000000000000002-200000000000000
χ626666-3-3-3-3666-3-300000000-3-3000000000000220000220000000000000022-1-10000-1-10000000-1-10
χ636666-3-3-3-3666-3-300000000-3-3000000000000-2-20000-2-200000000000000-2-2110000110000000110
χ646666-3-3-3-36-6-63300000000-33000000000000220000-2-200000000000000-22-1-100001100000001-10
χ656666-3-3-3-36-6-63300000000-33000000000000-2-2000022000000000000002-2110000-1-10000000-110
χ666666-3-3-3-3-66-6-3-300000000330000000000002200002200000000000000-2-2-1-10000-1-10000000110
χ676666-3-3-3-3-66-6-3-30000000033000000000000-2-20000-2-20000000000000022110000110000000-1-10
χ686666-3-3-3-3-6-6633000000003-3000000000000220000-2-2000000000000002-2-1-10000110000000-110
χ696666-3-3-3-3-6-6633000000003-3000000000000-2-200002200000000000000-22110000-1-100000001-10
χ7088-8-888-8-800000-4-4-444-4440022-2-200000000000000000000000000000000000000000000000000
χ718-8-888-8-8800000-4-444-444-4002-2-2200000000000000000000000000000000000000000000000000
χ721212-12-12-6-6660000000000000000000000000004-40000000000000000000000-220000000000000000
χ731212-12-12-6-666000000000000000000000000000-4400000000000000000000002-20000000000000000
χ7412-1212-12-66-6600063−630000000000000000000000000000000000000000000000000000000000000000
χ7512-1212-12-66-66000−63630000000000000000000000000000000000000000000000000000000000000000
χ7612-12-1212-666-60000000000000000000000000000000004-40000000000000000000000-220000000000
χ7712-12-1212-666-6000000000000000000000000000000000-4400000000000000000000002-20000000000

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