Finite Group Databasebeta

← Group #13148574

Character table — Group #13148574

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77
size11112222444446666666688121212121212121218181818181818181818181824242424242424242424363636363636363636363636363636363636727272727272
order122236662446633666666121236661212121222224444444466661212121212122444446666121212121212121261212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-111-1-1-1-1-1-111111111111-1-11-1-1-1-111-1-1-1-111-1-11-1-1-11-1
χ31111111111111111111111111111111-1-111-1-111-1-1-1-11111111111-11-1-11-111-1-1-1-1-1-1-1-111-1-1-11-11
χ41111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-11-1-11-1-1-1-11111-1-1-1-1-111-1-1-1
χ5111111111-1-11111111111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-111-111111111-1-1-1-1-1-1-1-111
χ6111111111-1-11111111111-1-11111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1111-11-1-111-1-1-1-1-1-111-11111-1
χ7111111111-1-11111111111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11-11-11111-1-1-1-1-1-111-1-1111-1-11
χ8111111111-1-11111111111-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111-1-11-1-1
χ911111111-11-1-1-1111111111-1111111-1-1111111-1-111-1-1-1-1-1-11-111-1-1-111-1-1-1111111-1-111-1-1-11-11-1-1
χ1011111111-11-1-1-1111111111-1111111-1-111-1-11111-1-111-1-1-1-11-111-1-1-1-1-1-111-1-111-1-1111111-1-11-1-11
χ1111111111-11-1-1-1111111111-1111111-1-1-1-111-1-1-1-1-1-111-1-1-1-11-111-1-111-11-1111-1-1-1-111-1-1-1-11-1111-1
χ1211111111-11-1-1-1111111111-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11-111-1-11-1111-1-1-1-1-111-1-1-1-11111-1-111
χ1311111111-1-11-1-111111111-111111-1-1111111-1-11111-1-1-1-1-1-1-11-1-1111-1-1-1-11111111-1-1-1-1111-11-1-1-1
χ1411111111-1-11-1-111111111-111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-11-1-111111-11-1-1-111-1-111-1-1-1-111-11-11
χ1511111111-1-11-1-111111111-111111-1-111-1-1111111-1-111-1-1-1-1-11-1-111-1-111-1-111-1-1-1-1111111-11-1-11-1
χ1611111111-1-11-1-111111111-111111-1-111-1-1-1-111-1-111-1-1-1-1-1-1-11-1-111-11-1111-1-1-1-111-1-111-1-1-1-11111
χ1722222222222222-1-122-1-1222-1-1-1-1-1-1222200220000002-1-1-12-1-1-1-1-120020000-1-10000-1-100-1000-10
χ1822222222222222-1-122-1-1222-1-1-1-1-1-122-2-200-2-20000002-1-1-12-1-1-1-1-1-200-200001100001100100010
χ192222222222222-122-1-122-122-1-1-1-122-1-1002200220000-12-1-1-12-1-1-1-1020020-1-100000000-1-1000-10-1
χ202222222222222-122-1-122-122-1-1-1-122-1-100-2-200-2-20000-12-1-1-12-1-1-1-10-200-20110000000011000101
χ21222222222-2-2222-1-122-1-12-2-2-1-1-1-111-2-22200-2-20000002-1-1-1-211111-20020000-1-1000011001000-10
χ22222222222-2-2222-1-122-1-12-2-2-1-1-1-111-2-2-2-200220000002-1-1-1-211111200-20000110000-1-100-100010
χ23222222222-2-222-122-1-122-1-2-2-1-1-1-1-2-211002200-2-20000-12-1-11-211110-20020-1-1000000001100010-1
χ24222222222-2-222-122-1-122-1-2-2-1-1-1-1-2-21100-2-200220000-12-1-11-211110200-201100000000-1-1000-101
χ2522222222-22-2-2-22-1-122-1-122-2-1-1-1-1-1-1-2-2220022000000-211121-1-111-200-20000-1-10000-1-100100010
χ2622222222-22-2-2-22-1-122-1-122-2-1-1-1-1-1-1-2-2-2-200-2-2000000-211121-1-111200200001100001100-1000-10
χ2722222222-22-2-2-2-122-1-122-12-2-1-1-1-12211002200-2-200001-211-1-2-1-1110200-20-1-10000000011000-101
χ2822222222-22-2-2-2-122-1-122-12-2-1-1-1-1221100-2-2002200001-211-1-2-1-1110-200201100000000-1-100010-1
χ2922222222-2-22-2-22-1-122-1-12-22-1-1-1-111222200-2-2000000-2111-2-111-1-1200-20000-1-100001100-100010
χ3022222222-2-22-2-22-1-122-1-12-22-1-1-1-11122-2-20022000000-2111-2-111-1-1-20020000110000-1-1001000-10
χ3122222222-2-22-2-2-122-1-122-1-22-1-1-1-1-2-2-1-10022002200001-2111211-1-10-200-20-1-100000000-1-1000101
χ3222222222-2-22-2-2-122-1-122-1-22-1-1-1-1-2-2-1-100-2-200-2-200001-2111211-1-1020020110000000011000-10-1
χ332-22-22-22-20000022-22-22-2-2002-22-2000000002-22i−2i002i−2i00000000000000000000002i−2i2-22i−2i000000
χ342-22-22-22-20000022-22-22-2-2002-22-2000000002-2−2i2i00−2i2i0000000000000000000000−2i2i2-2−2i2i000000
χ352-22-22-22-20000022-22-22-2-2002-22-200000000-222i−2i00−2i2i0000000000000000000000−2i2i-222i−2i000000
χ362-22-22-22-20000022-22-22-2-2002-22-200000000-22−2i2i002i−2i00000000000000000000002i−2i-22−2i2i000000
χ372-2-222-2-220000022-2-2-2-222002-2-2200002-22-200002-20000000000000000002-22-22-2000000000000
χ382-2-222-2-220000022-2-2-2-222002-2-2200002-2-220000-22000000000000000000-222-2-22000000000000
χ392-2-222-2-220000022-2-2-2-222002-2-220000-222-20000-220000000000000000002-2-22-22000000000000
χ402-2-222-2-220000022-2-2-2-222002-2-220000-22-2200002-2000000000000000000-22-222-2000000000000
χ414444444444444-2-2-2-2-2-2-2-2441111-2-2-2-2000000000000-2-211-2-21111000000000000000000000000
χ42444444444-4-444-2-2-2-2-2-2-2-2-4-411112222000000000000-2-21122-1-1-1-1000000000000000000000000
χ4344444444-44-4-4-4-2-2-2-2-2-2-2-24-41111-2-22200000000000022-1-1-2211-1-1000000000000000000000000
χ4444444444-4-44-4-4-2-2-2-2-2-2-2-2-44111122-2-200000000000022-1-12-2-1-111000000000000000000000000
χ4544-4-444-4-400000444-44-4-4-40044-4-400000000000000000000000000000000000000000000000000
χ4644-4-444-4-4000004-2-2-4422-400-2-22223−230000000000000000000023−2300000000000000000000000000
χ4744-4-444-4-4000004-2-2-4422-400-2-222−232300000000000000000000−232300000000000000000000000000
χ4844-4-444-4-400000-2442-2-4-4200-2-2220023−230000000000000000000023−23000000000000000000000000
χ4944-4-444-4-400000-2442-2-4-4200-2-22200−232300000000000000000000−2323000000000000000000000000
χ5044-4-444-4-400000-2-2-22-22220011-1-123−2323−23000000000000003-300−33−33000000000000000000000000
χ5144-4-444-4-400000-2-2-22-22220011-1-123−23−232300000000000000-3300−333−3000000000000000000000000
χ5244-4-444-4-400000-2-2-22-22220011-1-1−232323−2300000000000000-33003−3−33000000000000000000000000
χ5344-4-444-4-400000-2-2-22-22220011-1-1−2323−2323000000000000003-3003−33−3000000000000000000000000
χ544-44-44-44-4000004-224-4-22-400-22-22000000004-4000000000000000000000000000000-2200000000
χ554-44-44-44-4000004-224-4-22-400-22-2200000000-440000000000000000000000000000002-200000000
χ564-44-44-44-400000-24-4-224-4200-22-2200000000004i−4i000000000000000000000000000000−2i2i000000
χ574-44-44-44-400000-24-4-224-4200-22-220000000000−4i4i0000000000000000000000000000002i−2i000000
χ584-4-444-4-44000004-22-4-42-2400-222-200004-40000000000000000000000000000-2200000000000000
χ594-4-444-4-44000004-22-4-42-2400-222-20000-4400000000000000000000000000002-200000000000000
χ604-4-444-4-4400000-24-422-44-200-222-20000004-4000000000000000000000000-220000000000000000
χ614-4-444-4-4400000-24-422-44-200-222-2000000-440000000000000000000000002-20000000000000000
χ626666-3-3-3-3666-3-300000000-3-30000000000000000222200000000000020020000-1-1-1-100000-1-1000
χ636666-3-3-3-3666-3-300000000-3-30000000000000000-2-2-2-2000000000000-200-2000011110000011000
χ646666-3-3-3-36-6-6-3-3000000003300000000000000002222000000000000-200-20000-1-1-1-10000011000
χ656666-3-3-3-36-6-6-3-300000000330000000000000000-2-2-2-200000000000020020000111100000-1-1000
χ666666-3-3-3-3-66-63300000000-33000000000000000022-2-2000000000000200-20000-1-11100000-11000
χ676666-3-3-3-3-66-63300000000-330000000000000000-2-222000000000000-2002000011-1-1000001-1000
χ686666-3-3-3-3-6-6633000000003-3000000000000000022-2-2000000000000-20020000-1-111000001-1000
χ696666-3-3-3-3-6-6633000000003-30000000000000000-2-222000000000000200-2000011-1-100000-11000
χ708-88-88-88-800000-4-44-44-444002-22-200000000000000000000000000000000000000000000000000
χ718-8-888-8-8800000-4-44444-4-4002-2-2200000000000000000000000000000000000000000000000000
χ721212-12-12-6-666000−6i36i30000000000000000000000000000000000000000000000000000000000000000
χ731212-12-12-6-6660006i3−6i30000000000000000000000000000000000000000000000000000000000000000
χ7412-1212-12-66-660000000000000000000000000000000004i−4i0000000000000000000000−2i2i0000000000
χ7512-1212-12-66-66000000000000000000000000000000000−4i4i00000000000000000000002i−2i0000000000
χ7612-12-1212-666-600000000000000000000000000000004-40000000000000000000000-22000000000000
χ7712-12-1212-666-60000000000000000000000000000000-4400000000000000000000002-2000000000000

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