Finite Group Databasebeta

← Group #13149503

Character table — Group #13149503

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74
size11112222444446666666688121212121212121218181818181824242424242424242424363636363636363636363636363636363636363636727272727272
order1222366644412123366666612123666121212124444441212121212121212121224444444412121212121212121212121261212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-11111111111-11-11-1-11-1-11111-1-1-1-1-1-1-1-1-111-1-1-1
χ31111111111111111111111111111111-1-111-1-111111111111-11-11-1-1-1-1-1-1-1-1-1-11111-1-11-1-11-1-1
χ41111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-11-111-1-1-1-111-1-1-1-111-1-1-1-111
χ5111111111-1-1-1-111111111-11111111-1-1111111-11-1-111-1-1-1-11-1-1-1-111-1-1-1-11111-1-1111111-1-1-1-1
χ6111111111-1-1-1-111111111-11111111-1-111-1-1-1-1-11-1-111-1-1-1-1-1-11-11-1111-1-111-1-111-1-1-1-1-11-1111
χ7111111111-1-1-1-111111111-11111111-1-1-1-111-1-1-11-1-111-1-1-1-111-11-1-1-11111-1-1-1-1-1-111-1-11-11-111
χ8111111111-1-1-1-111111111-11111111-1-1-1-1-1-111-11-1-111-1-1-1-1-111111-1-1-111-1-11111-1-111-1-111-1-1
χ911111111-11-11111111111-1-11111-1-1-1-11111111-11-1-1-111-1-1-1-1-111-1-11-11111-1-1-1-11111-1-1-111-1
χ1011111111-11-11111111111-1-11111-1-1-1-111-1-1-1-11-11-1-1-111-1-11-111-11-1-1111111111-1-1-1-11-1-1-1-11
χ1111111111-11-11111111111-1-11111-1-1-1-1-1-111-1-11-11-1-1-111-1-1-11-1-1111-11-1-1-1-111-1-111-1-1-1111-11
χ1211111111-11-11111111111-1-11111-1-1-1-1-1-1-1-1111-11-1-1-111-1-1111-1-1-111-1-1-1-1-1-1-111-1-111111-11-1
χ1311111111-1-11-1-1111111111-11111-1-111111111-1-1-11-1-1-1-111-111-1-1-1-1-11-1-111-1-1111111-1-11-1-11
χ1411111111-1-11-1-1111111111-11111-1-11111-1-1-1-1-1-1-11-1-1-1-11111-1-111-11-1-1-11111-1-1-1-1-1-11-1111-1
χ1511111111-1-11-1-1111111111-11111-1-111-1-111-1-1-1-1-11-1-1-1-111-1-111-1111-111-1-1111111-1-1-11-1-11-1
χ1611111111-1-11-1-1111111111-11111-1-111-1-1-1-111-1-1-11-1-1-1-1111-1-111-11-1111-1-1-1-1-1-1-1-11111-11-11
χ1722222222222222-12-12-1-1222-1-1-1-122-1-1002200-1-122-1-1-1-1-1-1202020000000000-1-1-1-100-100-100
χ1822222222222222-12-12-1-1222-1-1-1-122-1-100-2-200-1-122-1-1-1-1-1-1-20-20-20000000000111100100100
χ192222222222222-12-12-122-122-1-1-1-1-1-12200002222-1-1-1-1-1-1-1-10000020220000-1-10000-1-10000-1-1
χ202222222222222-12-12-122-122-1-1-1-1-1-1220000-2-222-1-1-1-1-1-1-1-100000-20-2-2000011000011000011
χ21222222222-2-2-2-22-12-12-1-12-22-1-1-1-122110022001-1-2-2-1-1111120-20-2000000000011-1-100-100100
χ22222222222-2-2-2-22-12-12-1-12-22-1-1-1-1221100-2-2001-1-2-2-1-11111-202020000000000-1-11100100-100
χ23222222222-2-2-2-2-12-12-122-1-22-1-1-1-1-1-1-2-2000022-2211-1-111110000020-2-20000-1-10000-1-1000011
χ24222222222-2-2-2-2-12-12-122-1-22-1-1-1-1-1-1-2-20000-2-2-2211-1-1111100000-20220000110000110000-1-1
χ2522222222-22-2222-12-12-1-12-2-2-1-1-1-1-2-211002200-112-211-1-111-20-202000000000011-1-100100-100
χ2622222222-22-2222-12-12-1-12-2-2-1-1-1-1-2-21100-2-200-112-211-1-1112020-20000000000-1-11100-100100
χ2722222222-22-222-12-12-122-1-2-2-1-1-1-111-2-20000222-2-1111-1-11100000-202-20000110000-1-10000-11
χ2822222222-22-222-12-12-122-1-2-2-1-1-1-111-2-20000-2-22-2-1111-1-1110000020-220000-1-100001100001-1
χ2922222222-2-22-2-22-12-12-1-122-2-1-1-1-1-2-2-1-100220011-221111-1-1-2020-20000000000-1-1-1-100100100
χ3022222222-2-22-2-22-12-12-1-122-2-1-1-1-1-2-2-1-100-2-20011-221111-1-120-2020000000000111100-100-100
χ3122222222-2-22-2-2-12-12-122-12-2-1-1-1-11122000022-2-21-11111-1-100000-20-220000110000-1-100001-1
χ3222222222-2-22-2-2-12-12-122-12-2-1-1-1-111220000-2-2-2-21-11111-1-100000202-20000-1-10000110000-11
χ332-2-222-22-20000022-22-2-2-22002-2-2200002i−2i2i−2i2-20000000000000000000002i−2i00002i−2i2-2000000
χ342-2-222-22-20000022-22-2-2-22002-2-2200002i−2i−2i2i-220000000000000000000002i−2i0000−2i2i-22000000
χ352-2-222-22-20000022-22-2-2-22002-2-220000−2i2i2i−2i-22000000000000000000000−2i2i00002i−2i-22000000
χ362-2-222-22-20000022-22-2-2-22002-2-220000−2i2i−2i2i2-2000000000000000000000−2i2i0000−2i2i2-2000000
χ374444444444444-2-2-2-2-2-2-2-2441111-2-2-2-2000000-2-2-2-2111111000000000000000000000000000
χ38444444444-4-4-4-4-2-2-2-2-2-2-2-2-441111-2-2220000002-22211-1-1-1-1000000000000000000000000000
χ3944444444-44-444-2-2-2-2-2-2-2-2-4-411112222000000-22-22-1-111-1-1000000000000000000000000000
χ4044444444-4-44-4-4-2-2-2-2-2-2-2-24-4111122-2-2000000222-2-1-1-1-111000000000000000000000000000
χ4144-4-44-4-4400000444-4-44-4-4004-44-400000000000000000000000000000000000000000000000
χ4244-4-44-4-44000004-242-4-22-400-22-220023−230000000000000023−23000000000000000000000000000
χ4344-4-44-4-44000004-242-4-22-400-22-2200−232300000000000000−2323000000000000000000000000000
χ4444-4-44-4-4400000-24-2-424-4200-22-22−2i32i3000000000000−2i32i30000000000000000000000000000000
χ4544-4-44-4-4400000-24-2-424-4200-22-222i3−2i30000000000002i3−2i30000000000000000000000000000000
χ4644-4-44-4-4400000-2-2-222-222001-11-1−2i32i323−230000000000i3−i33i−3i−33000000000000000000000000000
χ4744-4-44-4-4400000-2-2-222-222001-11-1−2i32i3−23230000000000i3−i3−3i3i3−3000000000000000000000000000
χ4844-4-44-4-4400000-2-2-222-222001-11-12i3−2i323−230000000000−i3i3−3i3i−33000000000000000000000000000
χ4944-4-44-4-4400000-2-2-222-222001-11-12i3−2i3−23230000000000−i3i33i−3i3−3000000000000000000000000000
χ504-44-444-4-40000044-4-44-44-40044-4-400000000000000000000000000000000000000000000000
χ514-44-444-4-4000004-2-4242-2-400-2-2220000000000000000000000000000000000023−230000000000
χ524-44-444-4-4000004-2-4242-2-400-2-22200000000000000000000000000000000000−23230000000000
χ534-44-444-4-400000-242-4-2-44200-2-222000000000000000000000000000000000−2i32i3000000000000
χ544-44-444-4-400000-242-4-2-44200-2-2220000000000000000000000000000000002i3−2i3000000000000
χ554-4-444-44-4000004-2-4-2-422400-222-20000004i−4i00000000000000000000000000000−2i2i00000000
χ564-4-444-44-4000004-2-4-2-422400-222-2000000−4i4i000000000000000000000000000002i−2i00000000
χ574-4-444-44-400000-24242-4-4-200-222-2000000004-400000000000000000000000000000-22000000
χ584-4-444-44-400000-24242-4-4-200-222-200000000-44000000000000000000000000000002-2000000
χ596666-3-3-3-3666-3-300000000-3-3000000002200000000000000020200200-1-1-1-1000000000-1-1000
χ606666-3-3-3-3666-3-300000000-3-300000000-2-2000000000000000-20-200-200111100000000011000
χ616666-3-3-3-36-6-633000000003-30000000022000000000000000-20-20020011-1-1000000000-11000
χ626666-3-3-3-36-6-633000000003-300000000-2-200000000000000020200-200-1-1110000000001-1000
χ636666-3-3-3-3-66-6-3-300000000330000000022000000000000000-20200-200-1-1-1-100000000011000
χ646666-3-3-3-3-66-6-3-3000000003300000000-2-200000000000000020-2002001111000000000-1-1000
χ656666-3-3-3-3-6-663300000000-33000000002200000000000000020-200-20011-1-10000000001-1000
χ666666-3-3-3-3-6-663300000000-3300000000-2-2000000000000000-20200200-1-111000000000-11000
χ678-88-888-8-800000-4-444-44-440022-2-200000000000000000000000000000000000000000000000
χ688-8-888-88-800000-4-44-4444-4002-2-2200000000000000000000000000000000000000000000000
χ691212-12-12-666-600063−630000000000000000000000000000000000000000000000000000000000000
χ701212-12-12-666-6000−63630000000000000000000000000000000000000000000000000000000000000
χ7112-1212-12-6-666000000000000000000000000000000000000000000000000−2i32i30000000000000000
χ7212-1212-12-6-6660000000000000000000000000000000000000000000000002i3−2i30000000000000000
χ7312-12-1212-66-66000000000000000000000004i−4i0000000000000000000000000−2i2i00000000000000
χ7412-12-1212-66-6600000000000000000000000−4i4i00000000000000000000000002i−2i00000000000000

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