Finite Group Databasebeta

← Group #13149506

Character table — Group #13149506

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74
size11112222444446666666688121212121212121218181818181824242424242424242424363636363636363636363636363636363636363636727272727272
order1222366644412123366666612123666121212124444441212121212121212121222244444466121212121212121212126612121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-11-11-1-1-1
χ31111111111111111111111111111111-1-111-1-11111111111-1-1-1-1-1-1111-1-1-1-1-1-111-1-111-1-1-1-111
χ41111111111111111111111111111111-1-1-1-1111111111111-111-1-11-1-1-111-1-1-1-1-1-111-1-1-11-11-1-1
χ5111111111-1-1-1-111111111-11111111-1-11111111-1-1-111-1-1-1-1-11-11-1-11-1-1-1-111-1-1111111-111-1-1-1
χ6111111111-1-1-1-111111111-11111111-1-111-1-1-1-11-1-1-111-1-1-1-1-1-111-11-1111111-1-1-1-1-1-1-1-1-1-11111
χ7111111111-1-1-1-111111111-11111111-1-1-1-111-1-11-1-1-111-1-1-1-11-11-1111-1-111-1-11111-1-1111-1-11-1-1
χ8111111111-1-1-1-111111111-11111111-1-1-1-1-1-1111-1-1-111-1-1-1-111-1-11-1-111-1-1-1-111-1-111-1-111-1-111
χ911111111-11-11111111111-1-11111-1-1-1-1111111-111-1-1-111-1-1-1-1-1-111-11-1-1-111111111-1-1-1-1-111-1
χ1011111111-11-11111111111-1-11111-1-1-1-111-1-1-1-1-111-1-1-111-1-1-111-11-11-11111111-1-1-1-111-11-1-1-11
χ1111111111-11-11111111111-1-11111-1-1-1-1-1-111-1-1-111-1-1-111-1-11111-1-1-11-111-1-1-1-111-1-1-1-1111-11-1
χ1211111111-11-11111111111-1-11111-1-1-1-1-1-1-1-111-111-1-1-111-1-11-1-11-111-11-1-1-1-1-1-1-1-111111-111-11
χ1311111111-1-11-1-1111111111-11111-1-111111111-1-1-11-1-1-1-1111-11-1-1-1-1-111111-1-11111-1-11-1-1-1-11
χ1411111111-1-11-1-1111111111-11111-1-11111-1-1-1-1-1-1-11-1-1-1-11111-1-1-1111-1-1-111-1-1-1-1-1-11111-111-1
χ1511111111-1-11-1-1111111111-11111-1-111-1-111-1-1-1-1-11-1-1-1-111-11-1111-1-11-1-1-1-11111-1-1-1-1-1111-11
χ1611111111-1-11-1-1111111111-11111-1-111-1-1-1-111-1-1-11-1-1-1-111-1-1111-111-111-1-111-1-11111-1-11-11-1
χ1722222222222222-12-12-1-1222-1-1-1-122-1-1000022-1-122-1-1-1-1-1-1022002000-1-1000000-1-1000-10-100
χ1822222222222222-12-12-1-1222-1-1-1-122-1-10000-2-2-1-122-1-1-1-1-1-10-2-200-2000110000001100010100
χ192222222222222-12-12-122-122-1-1-1-1-1-12200220022-1-1-1-1-1-1-1-1000000222000000-1-100-1-10000-1-1
χ202222222222222-12-12-122-122-1-1-1-1-1-12200-2-20022-1-1-1-1-1-1-1-1000000-2-2-2000000110011000011
χ21222222222-2-2-2-22-12-12-1-12-22-1-1-1-12211000022-11-2-2-1-1111102-200-200011000000-1-1000-10100
χ22222222222-2-2-2-22-12-12-1-12-22-1-1-1-122110000-2-2-11-2-2-1-111110-22002000-1-10000001100010-100
χ23222222222-2-2-2-2-12-12-122-1-22-1-1-1-1-1-1-2-20022002-211-1-111110000002-2-2000000-1-100-1-1000011
χ24222222222-2-2-2-2-12-12-122-1-22-1-1-1-1-1-1-2-200-2-2002-211-1-11111000000-2220000001100110000-1-1
χ2522222222-22-2222-12-12-1-12-2-2-1-1-1-1-2-2110000221-12-211-1-1110-2-200200011000000-1-100010-100
χ2622222222-22-2222-12-12-1-12-2-2-1-1-1-1-2-2110000-2-21-12-211-1-11102200-2000-1-100000011000-10100
χ2722222222-22-222-12-12-122-1-2-2-1-1-1-111-2-2002200-22-1111-1-111000000-22-2000000-1-100110000-11
χ2822222222-22-222-12-12-122-1-2-2-1-1-1-111-2-200-2-200-22-1111-1-1110000002-220000001100-1-100001-1
χ2922222222-2-22-2-22-12-12-1-122-2-1-1-1-1-2-2-1-100002211-221111-1-10-2200-2000-1-1000000-1-100010100
χ3022222222-2-22-2-22-12-12-1-122-2-1-1-1-1-2-2-1-10000-2-211-221111-1-102-20020001100000011000-10-100
χ3122222222-2-22-2-2-12-12-122-12-2-1-1-1-11122002200-2-21-11111-1-1000000-2-22000000-1-1001100001-1
χ3222222222-2-22-2-2-12-12-122-12-2-1-1-1-1112200-2-200-2-21-11111-1-100000022-20000001100-1-10000-11
χ332-22-22-2-220000022-2-222-2-20022-2-200002i−2i2-22i−2i0000000000000000000002i−2i002-22i−2i00000000
χ342-22-22-2-220000022-2-222-2-20022-2-200002i−2i-22−2i2i0000000000000000000002i−2i00-22−2i2i00000000
χ352-22-22-2-220000022-2-222-2-20022-2-20000−2i2i2-2−2i2i000000000000000000000−2i2i002-2−2i2i00000000
χ362-22-22-2-220000022-2-222-2-20022-2-20000−2i2i-222i−2i000000000000000000000−2i2i00-222i−2i00000000
χ374444444444444-2-2-2-2-2-2-2-2441111-2-2-2-2000000-2-2-2-2111111000000000000000000000000000
χ38444444444-4-4-4-4-2-2-2-2-2-2-2-2-441111-2-222000000-222211-1-1-1-1000000000000000000000000000
χ3944444444-44-444-2-2-2-2-2-2-2-2-4-4111122220000002-2-22-1-111-1-1000000000000000000000000000
χ4044444444-4-44-4-4-2-2-2-2-2-2-2-24-4111122-2-2000000222-2-1-1-1-111000000000000000000000000000
χ4144-4-44-44-4000004444-4-4-4-4004-44-400000000000000000000000000000000000000000000000
χ4244-4-44-44-4000004-24-2-422-400-22-220023−230000000000000023−23000000000000000000000000000
χ4344-4-44-44-4000004-24-2-422-400-22-2200−232300000000000000−2323000000000000000000000000000
χ4444-4-44-44-400000-24-242-4-4200-22-22−2i32i3000000000000−2i32i30000000000000000000000000000000
χ4544-4-44-44-400000-24-242-4-4200-22-222i3−2i30000000000002i3−2i30000000000000000000000000000000
χ4644-4-44-44-400000-2-2-2-22222001-11-1−2i32i323−230000000000i3−i33i−3i−33000000000000000000000000000
χ4744-4-44-44-400000-2-2-2-22222001-11-1−2i32i3−23230000000000i3−i3−3i3i3−3000000000000000000000000000
χ4844-4-44-44-400000-2-2-2-22222001-11-12i3−2i323−230000000000−i3i3−3i3i−33000000000000000000000000000
χ4944-4-44-44-400000-2-2-2-22222001-11-12i3−2i3−23230000000000−i3i33i−3i3−3000000000000000000000000000
χ504-44-44-4-44000004-2-424-22-400-2-222000000004i−4i000000000000000000000000000−2i2i00000000
χ514-44-44-4-44000004-2-424-22-400-2-22200000000−4i4i0000000000000000000000000002i−2i00000000
χ524-44-44-4-4400000-242-4-24-4200-2-2220000004-4000000000000000000000000000-220000000000
χ534-44-44-4-4400000-242-4-24-4200-2-222000000-440000000000000000000000000002-20000000000
χ544-4-4444-4-40000044-4-4-4-444004-4-4400000000000000000000000000000000000000000000000
χ554-4-4444-4-4000004-2-42-42-2400-222-200000000000000000000000000000−2i32i30000000000000000
χ564-4-4444-4-4000004-2-42-42-2400-222-2000000000000000000000000000002i3−2i30000000000000000
χ574-4-4444-4-400000-242-42-44-200-222-2000000000000000000000000000000000000000−2i32i3000000
χ584-4-4444-4-400000-242-42-44-200-222-20000000000000000000000000000000000000002i3−2i3000000
χ596666-3-3-3-3666-3-300000000-3-300000000220000000000000020022000000-1-1-1-1000000-10-1000
χ606666-3-3-3-3666-3-300000000-3-300000000-2-200000000000000-200-2-20000001111000000101000
χ616666-3-3-3-36-6-633000000003-3000000002200000000000000-2002-2000000-1-11100000010-1000
χ626666-3-3-3-36-6-633000000003-300000000-2-200000000000000200-2200000011-1-1000000-101000
χ636666-3-3-3-3-66-6-3-30000000033000000002200000000000000-200-22000000-1-1-1-1000000101000
χ646666-3-3-3-3-66-6-3-3000000003300000000-2-2000000000000002002-20000001111000000-10-1000
χ656666-3-3-3-3-6-663300000000-33000000002200000000000000200-2-2000000-1-111000000-101000
χ666666-3-3-3-3-6-663300000000-3300000000-2-200000000000000-2002200000011-1-100000010-1000
χ678-88-88-8-8800000-4-444-4-4440022-2-200000000000000000000000000000000000000000000000
χ688-8-8888-8-800000-4-44444-4-4002-2-2200000000000000000000000000000000000000000000000
χ691212-12-12-66-6600063−630000000000000000000000000000000000000000000000000000000000000
χ701212-12-12-66-66000−63630000000000000000000000000000000000000000000000000000000000000
χ7112-1212-12-666-6000000000000000000000004i−4i0000000000000000000000000−2i2i00000000000000
χ7212-1212-12-666-600000000000000000000000−4i4i00000000000000000000000002i−2i00000000000000
χ7312-12-1212-6-666000000000000000000000000000000000000000000000000000023−23000000000000
χ7412-12-1212-6-6660000000000000000000000000000000000000000000000000000−2323000000000000

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