Finite Group Databasebeta

← Group #13149472

Character table — Group #13149472

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77
size11112222444446666666688121212121212121218181818181818181818181824242424242424242424363636363636363636363636363636363636727272727272
order12223666444121233666666121236661212121222444444444412121212121212121212244444661212121212121212121261212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-111-1-1-1-1-1-11111111111-111-1-1-111-1-1-1-1-1-1-1-111-1-1-11-11
χ31111111111111111111111111111111-1-111-1-1-1-111-1-111111111111-1-11-1-1-1-1-1-1-1-11111-1-11-1-1-11-1
χ41111111111111111111111111111111-1-1-1-1-1-111-1-1111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-111-1-1-1
χ5111111111-1-11111111111-1-11111-1-1-1-11111-1-111-1-111-111-111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111
χ6111111111-1-11111111111-1-11111-1-1-1-111-1-1-1-1-1-111-1-1-111-111-1-1-1-11-11-11111-1-1-1-1-1-111-1-1111-1-11
χ7111111111-1-11111111111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-111-111-1-1-1-1-11-1111-1-1-1-1-1-111-1-111-11111-1
χ8111111111-1-11111111111-1-11111-1-1-1-1-1-1-1-111111111-111-111-1-1-1-111-1-1-1-1-1-11111-1-111111-1-11-1-1
χ911111111-11-1-1-1111111111-1111111-1-11111-1-11111-1-1-1-1-11-1-111-1-1-11-1-11-11111-1-11111-1-1-11-11-1-1
χ1011111111-11-1-1-1111111111-1111111-1-111-1-1-1-1-1-1-1-111-1-1-11-1-111-1-111-11-1111-1-111-1-1-1-1-1-11-1111-1
χ1111111111-11-1-1-1111111111-1111111-1-1-1-11111-1-11111-1-1-11-1-111-1-1-1-11-1-11-1-1-1-111111111-1-11-1-11
χ1211111111-11-1-1-1111111111-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-11-1-111-1-11-1111-1-1-111-1-1-1-1-1-11111-1-111
χ1311111111-1-11-1-111111111-111111-1-11111111111-1-1-1-11-1-1-1-1-1-1-1111-1-1-1-111111-1-111-1-1111-11-1-1-1
χ1411111111-1-11-1-111111111-111111-1-11111-1-111-1-111111-1-1-1-1-1-1-111-1-1-111-111-1-111-1-11111-11-1-11-1
χ1511111111-1-11-1-111111111-111111-1-111-1-111-1-1-1-1-1-1111-1-1-1-1-1-1-111111-11-1-1-1-1-11111-1-1-1-111-11-11
χ1611111111-1-11-1-111111111-111111-1-111-1-1-1-1-1-11111-1-11-1-1-1-1-1-1-111-1111-11-1-111-1-1-1-111-1-1-1-11111
χ1722222222222222-12-12-1-1222-1-1-1-1-1-122002200002200-12-12-1-1-1-1-1-1200200000000-1-1-1-100-1000-10
χ1822222222222222-12-12-1-1222-1-1-1-1-1-12200-2-20000-2-200-12-12-1-1-1-1-1-1-200-200000000111100100010
χ192222222222222-12-12-122-122-1-1-1-122-1-12200220000002-12-1-1-1-1-1-1-1022000-1-100000000-1-1000-10-1
χ202222222222222-12-12-122-122-1-1-1-122-1-1-2-200-2-20000002-12-1-1-1-1-1-1-10-2-2000110000000011000101
χ21222222222-2-2222-12-12-1-12-2-2-1-1-1-111-2-200220000-2-20012-1-2-1-11111-200200000000-1-111001000-10
χ22222222222-2-2222-12-12-1-12-2-2-1-1-1-111-2-200-2-20000220012-1-2-1-11111200-20000000011-1-100-100010
χ23222222222-2-222-12-12-122-1-2-2-1-1-1-1-2-2112200-2-2000000-2-121-1-111110-22000-1-1000000001100010-1
χ24222222222-2-222-12-12-122-1-2-2-1-1-1-1-2-211-2-20022000000-2-121-1-1111102-20001100000000-1-1000-101
χ2522222222-22-2-2-22-12-12-1-122-2-1-1-1-1-1-1-2-20022000022001-21211-1-111-200-200000000-1-1-1-100100010
χ2622222222-22-2-2-22-12-12-1-122-2-1-1-1-1-1-1-2-200-2-20000-2-2001-21211-1-111200200000000111100-1000-10
χ2722222222-22-2-2-2-12-12-122-12-2-1-1-1-122112200-2-2000000-21-2-111-1-11102-2000-1-10000000011000-101
χ2822222222-22-2-2-2-12-12-122-12-2-1-1-1-12211-2-20022000000-21-2-111-1-1110-220001100000000-1-100010-1
χ2922222222-2-22-2-22-12-12-1-12-22-1-1-1-1112200220000-2-200-1-21-21111-1-1200-200000000-1-11100-100010
χ3022222222-2-22-2-22-12-12-1-12-22-1-1-1-1112200-2-200002200-1-21-21111-1-1-20020000000011-1-1001000-10
χ3122222222-2-22-2-2-12-12-122-1-22-1-1-1-1-2-2-1-122002200000021-211111-1-10-2-2000-1-100000000-1-1000101
χ3222222222-2-22-2-2-12-12-122-1-22-1-1-1-1-2-2-1-1-2-200-2-200000021-211111-1-1022000110000000011000-10-1
χ332-22-22-22-20000022-22-2-2-22002-2-22000000002-2002i−2i2i−2i000000000000000000002i−2i002i−2i2-2000000
χ342-22-22-22-20000022-22-2-2-22002-2-22000000002-200−2i2i−2i2i00000000000000000000−2i2i00−2i2i2-2000000
χ352-22-22-22-20000022-22-2-2-22002-2-2200000000-22002i−2i−2i2i00000000000000000000−2i2i002i−2i-22000000
χ362-22-22-22-20000022-22-2-2-22002-2-2200000000-2200−2i2i2i−2i000000000000000000002i−2i00−2i2i-22000000
χ372-2-222-2-2200000222-2-2-22-20022-2-200002-22i−2i002i−2i000000000000000000002-22i−2i002i−2i0000000000
χ382-2-222-2-2200000222-2-2-22-20022-2-200002-2−2i2i00−2i2i000000000000000000002-2−2i2i00−2i2i0000000000
χ392-2-222-2-2200000222-2-2-22-20022-2-20000-222i−2i00−2i2i00000000000000000000-22−2i2i002i−2i0000000000
χ402-2-222-2-2200000222-2-2-22-20022-2-20000-22−2i2i002i−2i00000000000000000000-222i−2i00−2i2i0000000000
χ414444444444444-2-2-2-2-2-2-2-2441111-2-2-2-2000000000000-2-2-2-2111111000000000000000000000000
χ42444444444-4-444-2-2-2-2-2-2-2-2-4-4111122220000000000002-2-2211-1-1-1-1000000000000000000000000
χ4344444444-44-4-4-4-2-2-2-2-2-2-2-24-41111-2-222000000000000222-2-1-111-1-1000000000000000000000000
χ4444444444-4-44-4-4-2-2-2-2-2-2-2-2-44111122-2-2000000000000-2222-1-1-1-111000000000000000000000000
χ4544-4-444-4-40000044-4-444-4-4004-44-400000000000000000000000000000000000000000000000000
χ4644-4-444-4-4000004-2-424-22-400-22-2223−230000000000000000000023−2300000000000000000000000000
χ4744-4-444-4-4000004-2-424-22-400-22-22−232300000000000000000000−232300000000000000000000000000
χ4844-4-444-4-400000-242-4-24-4200-22-220023−230000000000000000000023−23000000000000000000000000
χ4944-4-444-4-400000-242-4-24-4200-22-2200−232300000000000000000000−2323000000000000000000000000
χ5044-4-444-4-400000-2-222-2-222001-11-123−2323−2300000000000000003-3−33−33000000000000000000000000
χ5144-4-444-4-400000-2-222-2-222001-11-123−23−23230000000000000000-33−333−3000000000000000000000000
χ5244-4-444-4-400000-2-222-2-222001-11-1−232323−230000000000000000-333−3−33000000000000000000000000
χ5344-4-444-4-400000-2-222-2-222001-11-1−2323−232300000000000000003-33−33−3000000000000000000000000
χ544-44-44-44-4000004-2-4-2-422400-222-20000000000004i−4i00000000000000000000000000−2i2i00000000
χ554-44-44-44-4000004-2-4-2-422400-222-2000000000000−4i4i000000000000000000000000002i−2i00000000
χ564-44-44-44-400000-24242-4-4-200-222-2000000004-400000000000000000000000000000000-22000000
χ574-44-44-44-400000-24242-4-4-200-222-200000000-44000000000000000000000000000000002-2000000
χ584-4-444-4-44000004-242-42-2-400-2-2220000004i−4i000000000000000000000000000000−2i2i0000000000
χ594-4-444-4-44000004-242-42-2-400-2-222000000−4i4i0000000000000000000000000000002i−2i0000000000
χ604-4-444-4-4400000-24-2-42-44200-2-22200004-400000000000000000000000000-220000000000000000
χ614-4-444-4-4400000-24-2-42-44200-2-2220000-44000000000000000000000000002-20000000000000000
χ626666-3-3-3-3666-3-300000000-3-300000000000000220022000000000000002200-1-1-1-10000000-1-1000
χ636666-3-3-3-3666-3-300000000-3-300000000000000-2-200-2-200000000000000-2-2001111000000011000
χ646666-3-3-3-36-6-6-3-300000000330000000000000022002200000000000000-2-200-1-1-1-1000000011000
χ656666-3-3-3-36-6-6-3-3000000003300000000000000-2-200-2-200000000000000220011110000000-1-1000
χ666666-3-3-3-3-66-63300000000-33000000000000002200-2-2000000000000002-200-1-1110000000-11000
χ676666-3-3-3-3-66-63300000000-3300000000000000-2-2002200000000000000-220011-1-100000001-1000
χ686666-3-3-3-3-6-6633000000003-3000000000000002200-2-200000000000000-2200-1-11100000001-1000
χ696666-3-3-3-3-6-6633000000003-300000000000000-2-20022000000000000002-20011-1-10000000-11000
χ708-88-88-88-800000-4-44-4444-4002-2-2200000000000000000000000000000000000000000000000000
χ718-8-888-8-8800000-4-4-4444-440022-2-200000000000000000000000000000000000000000000000000
χ721212-12-12-6-666000−6i36i30000000000000000000000000000000000000000000000000000000000000000
χ731212-12-12-6-6660006i3−6i30000000000000000000000000000000000000000000000000000000000000000
χ7412-1212-12-66-660000000000000000000000000000000004i−4i00000000000000000000−2i2i000000000000
χ7512-1212-12-66-66000000000000000000000000000000000−4i4i000000000000000000002i−2i000000000000
χ7612-12-1212-666-6000000000000000000000000000004i−4i0000000000000000000000−2i2i00000000000000
χ7712-12-1212-666-600000000000000000000000000000−4i4i00000000000000000000002i−2i00000000000000

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