Finite Group Databasebeta

← Group #13148580

Character table — Group #13148580

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74
size11112222444446666666688121212121212121218181818181824242424242424242424363636363636363636363636363636363636363636727272727272
order12223666244663366666612123666121212124444446666121212121212224444444661212121212121212121261212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11-1-1-11-1
χ31111111111111111111111111111111-1-111-1-11111111111-1-1-111-1-11-1-1-11111-1-1-1-1-1-1-111-1-1-1
χ41111111111111111111111111111111-1-1-1-1111111111111-111-1-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-11-11
χ5111111111-1-11111111111-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-111-11-1-1-1-1-1111111-1-111-1-1-111-1
χ6111111111-1-11111111111-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-11-1-111-11111-1-1-1-111-1-1-1-1-111-111
χ7111111111-1-11111111111-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-11-1-11-11111111-1-111-1-11-1-1-1-11
χ8111111111-1-11111111111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11-11-11-111-1-1-1-1-1-1-1-1-111111111-1-1
χ911111111-11-1-1-111111111-11111111-1-1111111-1-1-1-11-111-1-1-1-1-1-11-11-11-1-111-1-1111111-1-11-1-11
χ1011111111-11-1-1-111111111-11111111-1-111-1-1-1-1-1-1-1-11-111-1-1-1111-1-111-111-1-1111111-1-1-11-11-1-1
χ1111111111-11-1-1-111111111-11111111-1-1-1-111-1-1-1-1-1-11-111-1-1111-111-1-1-11111-1-1-1-1-1-1-1-11-1111-1
χ1211111111-11-1-1-111111111-11111111-1-1-1-1-1-111-1-1-1-11-111-1-11-1-11-11-111-1-1-1-111-1-1-1-11111-1-111
χ1311111111-1-11-1-1111111111-11111-1-111111111-1-1-1-1-11-1-11111-1-1-1-1-11-11111-1-111-1-11111-1-1-1-1
χ1411111111-1-11-1-1111111111-11111-1-11111-1-1-1-1-1-1-1-1-11-1-1111-1111-1-1-11-1-1-1-11111-1-1-1-11-111-11
χ1511111111-1-11-1-1111111111-11111-1-111-1-111-1-1-1-1-1-1-11-1-111-1-11-1-11111-1-111-1-1-1-111-1-1-11-1111
χ1611111111-1-11-1-1111111111-11111-1-111-1-1-1-111-1-1-1-1-11-1-111-11-11111-1-111-1-111-1-11111-1-11-11-1
χ1722222222222222-12-12-12-122-1-1-1-122-1-10000222-1-1-1-12-1-1-1-1022000002-1-100000000-1-1000-10-1
χ1822222222222222-12-12-12-122-1-1-1-122-1-10000-2-22-1-1-1-12-1-1-1-10-2-200000-2110000000011000101
χ192222222222222-12-12-12-1222-1-1-1-1-1-122220000-12-1-12-1-1-1-1-1200002200000000-1-1-1-100-1000-10
χ202222222222222-12-12-12-1222-1-1-1-1-1-122-2-20000-12-1-12-1-1-1-1-1-20000-2-200000000111100100010
χ21222222222-2-2222-12-12-12-1-2-2-1-1-1-1-2-2110000222-1-1-11-211110-2200000-21100000000-1-1000-101
χ22222222222-2-2222-12-12-12-1-2-2-1-1-1-1-2-2110000-2-22-1-1-11-2111102-2000002-1-1000000001100010-1
χ23222222222-2-222-12-12-12-12-2-2-1-1-1-111-2-2220000-12-1-1-211111-200002-200000000-1-111001000-10
χ24222222222-2-222-12-12-12-12-2-2-1-1-1-111-2-2-2-20000-12-1-1-21111120000-220000000011-1-100-100010
χ2522222222-22-2-2-22-12-12-12-1-22-1-1-1-12211000022-2111-1-2-1-1110-2-20000021100000000-1-100010-1
χ2622222222-22-2-2-22-12-12-12-1-22-1-1-1-122110000-2-2-2111-1-2-1-11102200000-2-1-10000000011000-101
χ2722222222-22-2-2-2-12-12-12-12-22-1-1-1-1-1-1-2-22200001-21121-1-111-20000-2200000000-1-1-1-100100010
χ2822222222-22-2-2-2-12-12-12-12-22-1-1-1-1-1-1-2-2-2-200001-21121-1-111200002-200000000111100-1000-10
χ2922222222-2-22-2-22-12-12-12-12-2-1-1-1-1-2-2-1-1000022-21111211-1-102-200000-2-1-100000000-1-1000101
χ3022222222-2-22-2-22-12-12-12-12-2-1-1-1-1-2-2-1-10000-2-2-21111211-1-10-22000002110000000011000-10-1
χ3122222222-2-22-2-2-12-12-12-122-2-1-1-1-111222200001-211-2-111-1-120000-2-200000000-1-11100-100010
χ3222222222-2-22-2-2-12-12-12-122-2-1-1-1-11122-2-200001-211-2-111-1-1-20000220000000011-1-1001000-10
χ332-22-22-2-22000002222-2-2-2-2002-22-200002i−2i2-22i−2i0000000000000000000002-2002i−2i002i−2i000000
χ342-22-22-2-22000002222-2-2-2-2002-22-200002i−2i-22−2i2i000000000000000000000-22002i−2i00−2i2i000000
χ352-22-22-2-22000002222-2-2-2-2002-22-20000−2i2i2-2−2i2i0000000000000000000002-200−2i2i00−2i2i000000
χ362-22-22-2-22000002222-2-2-2-2002-22-20000−2i2i-222i−2i000000000000000000000-2200−2i2i002i−2i000000
χ374444444444444-2-2-2-2-2-2-2-2441111-2-2-2-2000000-2-211-2-21111000000000000000000000000000
χ38444444444-4-444-2-2-2-2-2-2-2-2-4-411112222000000-2-21122-1-1-1-1000000000000000000000000000
χ3944444444-44-4-4-4-2-2-2-2-2-2-2-2-441111-2-22200000022-1-1-2211-1-1000000000000000000000000000
χ4044444444-4-44-4-4-2-2-2-2-2-2-2-24-4111122-2-200000022-1-12-2-1-111000000000000000000000000000
χ4144-4-444-4-40000044-4-444-4-40044-4-400000000000000000000000000000000000000000000000
χ4244-4-444-4-4000004-2-424-2-4200-2-2220023−230000000000000023−23000000000000000000000000000
χ4344-4-444-4-4000004-2-424-2-4200-2-22200−232300000000000000−2323000000000000000000000000000
χ4444-4-444-4-400000-242-4-242-400-2-22223−230000000000000023−2300000000000000000000000000000
χ4544-4-444-4-400000-242-4-242-400-2-222−232300000000000000−232300000000000000000000000000000
χ4644-4-444-4-400000-2-222-2-2220011-1-123−2323−23000000003-300−33−33000000000000000000000000000
χ4744-4-444-4-400000-2-222-2-2220011-1-123−23−232300000000-3300−333−3000000000000000000000000000
χ4844-4-444-4-400000-2-222-2-2220011-1-1−232323−2300000000-33003−3−33000000000000000000000000000
χ4944-4-444-4-400000-2-222-2-2220011-1-1−2323−2323000000003-3003−33−3000000000000000000000000000
χ504-44-44-4-44000004-24-2-42-4200-22-22000000004i−4i00000000000000000000000000000−2i2i000000
χ514-44-44-4-44000004-24-2-42-4200-22-2200000000−4i4i000000000000000000000000000002i−2i000000
χ524-44-44-4-4400000-24-242-42-400-22-2200004i−4i00000000000000000000000000000−2i2i0000000000
χ534-44-44-4-4400000-24-242-42-400-22-220000−4i4i000000000000000000000000000002i−2i0000000000
χ544-4-444-44-40000044-4-4-4-444004-4-4400000000000000000000000000000000000000000000000
χ554-4-444-44-4000004-2-42-424-200-222-200000000000000000000000000000−2i32i30000000000000000
χ564-4-444-44-4000004-2-42-424-200-222-2000000000000000000000000000002i3−2i30000000000000000
χ574-4-444-44-400000-242-42-4-2400-222-20000000000000000000000000000000000000−2i32i300000000
χ584-4-444-44-400000-242-42-4-2400-222-200000000000000000000000000000000000002i3−2i300000000
χ596666-3-3-3-3666-3-300000000-3-300000000002200000000000000022002000-1-1-1-10000000-1-1000
χ606666-3-3-3-3666-3-300000000-3-30000000000-2-2000000000000000-2-200-20001111000000011000
χ616666-3-3-3-36-6-6-3-300000000330000000000220000000000000002-200-2000-1-1-1-1000000011000
χ626666-3-3-3-36-6-6-3-300000000330000000000-2-2000000000000000-2200200011110000000-1-1000
χ636666-3-3-3-3-66-633000000003-3000000000022000000000000000-2200-2000-1-11100000001-1000
χ646666-3-3-3-3-66-633000000003-30000000000-2-20000000000000002-200200011-1-10000000-11000
χ656666-3-3-3-3-6-663300000000-33000000000022000000000000000-2-2002000-1-1110000000-11000
χ666666-3-3-3-3-6-663300000000-330000000000-2-20000000000000002200-200011-1-100000001-1000
χ678-88-88-8-8800000-4-4-4-44444002-22-200000000000000000000000000000000000000000000000
χ688-8-888-88-800000-4-44444-4-4002-2-2200000000000000000000000000000000000000000000000
χ691212-12-12-6-666000−6i36i30000000000000000000000000000000000000000000000000000000000000
χ701212-12-12-6-6660006i3−6i30000000000000000000000000000000000000000000000000000000000000
χ7112-1212-12-666-600000000000000000000000004-400000000000000000000000-2200000000000000
χ7212-1212-12-666-60000000000000000000000000-44000000000000000000000002-200000000000000
χ7312-12-1212-66-66000000000000000000000000000000000000000000000000000023−23000000000000
χ7412-12-1212-66-660000000000000000000000000000000000000000000000000000−2323000000000000

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