Finite Group Databasebeta

← Group #13149446

Character table — Group #13149446

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74
size11112222444446666666688121212121212121218181818181824242424242424242424363636363636363636363636363636363636363636727272727272
order1222366644412123366666612123666121212122244441212121212121212121222444444466121212121212121212126612121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-11-1-111-1-1-1-1-1-111-1-111-1-1-1-1
χ31111111111111111111111111111111-1-111-1-11111111111-1-11-11-1-11-1-1-11111-1-1-1-1-1-1-1-111-1-1
χ41111111111111111111111111111111-1-1-1-1111111111111-1-1-11-11-1-11-1-1-1-1-1-111-1-111-1-1-1-111
χ5111111111-1-11111111111-1-11111-1-1-1-11111111-11-1-1-111-1-11-11-1-1-1-1-11111111-1-1-1-1111-1-1-1-11
χ6111111111-1-11111111111-1-11111-1-1-1-111-1-1-1-11-11-1-1-111-1-11-1-1111-11-111-1-1-1-111-1-1-1-11-1111-1
χ7111111111-1-11111111111-1-11111-1-1-1-1-1-111-1-11-11-1-1-111-1-1-1111-111-1-1-1-111111111-1-1-11-1-11-1
χ8111111111-1-11111111111-1-11111-1-1-1-1-1-1-1-1111-11-1-1-111-1-1-11-1-11-1111-1-1-1-1-1-1-1-11111-1111-11
χ911111111-11-1-1-1111111111-11111-1-111111111-11-1-1-1-1-1-111-11-11-1-1-11-111-1-11111-1-111-11-11-1-1
χ1011111111-11-1-1-1111111111-11111-1-11111-1-1-1-1-11-1-1-1-1-1-111-111-111-1-111111-1-1-1-1-1-1-1-1-111-111
χ1111111111-11-1-1-1111111111-11111-1-111-1-111-1-1-11-1-1-1-1-1-1111-1-1-1-11111-1-1-1-111-1-111-1-11-1-1111
χ1211111111-11-1-1-1111111111-11111-1-111-1-1-1-111-11-1-1-1-1-1-1111-1111-11-1-1-1-111-1-11111111-11-1-1-1
χ1311111111-1-11-1-111111111-11111111-1-1111111-1-1-1111-1-1-1-1-1-1-1-1111-1-111-1-111-1-11111-1-11-11-1
χ1411111111-1-11-1-111111111-11111111-1-111-1-1-1-1-1-1-1111-1-1-1-1-1-111-1-11111111-1-11111-1-1-1-1-11-11
χ1511111111-1-11-1-111111111-11111111-1-1-1-111-1-1-1-1-1111-1-1-1-111-111-1-1-11-1-1-1-11111-1-1-1-1111-1-11
χ1611111111-1-11-1-111111111-11111111-1-1-1-1-1-111-1-1-1111-1-1-1-1111-1-11-11-1-1-111-1-1-1-1-1-11111-111-1
χ1722222222222222-1-1-12-12222-1-1-1-1-1-122220000-1-122-1-1-1-1-1-1220000200-1-1000000-1-100-1-10000
χ1822222222222222-1-1-12-12222-1-1-1-1-1-122-2-20000-1-122-1-1-1-1-1-1-2-20000-200110000001100110000
χ192222222222222-1222-12-1-122-1-1-1-122-1-100002222-1-1-1-1-1-1-1-1000202002000000-1-100-1-10000-1-1
χ202222222222222-1222-12-1-122-1-1-1-122-1-10000-2-222-1-1-1-1-1-1-1-1000-20-200-2000000110011000011
χ21222222222-2-2222-1-1-12-122-2-2-1-1-1-111-2-2220000-112-211-1-1112-20000-200-1-10000001100-110000
χ22222222222-2-2222-1-1-12-122-2-2-1-1-1-111-2-2-2-20000-112-211-1-111-22000020011000000-1-1001-10000
χ23222222222-2-222-1222-12-1-1-2-2-1-1-1-1-2-2110000222-2-1111-1-111000-20-20020000001100-1-100001-1
χ24222222222-2-222-1222-12-1-1-2-2-1-1-1-1-2-2110000-2-22-2-1111-1-11100020200-2000000-1-100110000-11
χ2522222222-22-2-2-22-1-1-12-1222-2-1-1-1-111222200001-1-2-21111-1-1-220000-200-1-100000011001-10000
χ2622222222-22-2-2-22-1-1-12-1222-2-1-1-1-11122-2-200001-1-2-21111-1-12-2000020011000000-1-100-110000
χ2722222222-22-2-2-2-1222-12-1-12-2-1-1-1-1-2-2-1-1000022-22111111-1-100020-200-2000000-1-100-1-1000011
χ2822222222-22-2-2-2-1222-12-1-12-2-1-1-1-1-2-2-1-10000-2-2-22111111-1-1000-2020020000001100110000-1-1
χ2922222222-2-22-2-22-1-1-12-122-22-1-1-1-1-1-1-2-222000011-22-1-11111-2-20000200-1-1000000-1-100110000
χ3022222222-2-22-2-22-1-1-12-122-22-1-1-1-1-1-1-2-2-2-2000011-22-1-11111220000-200110000001100-1-10000
χ3122222222-2-22-2-2-1222-12-1-1-22-1-1-1-12211000022-2-21-1-1-11111000-20200-20000001100-1-10000-11
χ3222222222-2-22-2-2-1222-12-1-1-22-1-1-1-122110000-2-2-2-21-1-1-1111100020-2002000000-1-1001100001-1
χ332-22-22-22-20000022-22-2-22-2002-2-2200002-22i−2i2i−2i00000000000000000002-2002i−2i00002i−2i000000
χ342-22-22-22-20000022-22-2-22-2002-2-2200002-2−2i2i−2i2i00000000000000000002-200−2i2i0000−2i2i000000
χ352-22-22-22-20000022-22-2-22-2002-2-220000-222i−2i−2i2i0000000000000000000-22002i−2i0000−2i2i000000
χ362-22-22-22-20000022-22-2-22-2002-2-220000-22−2i2i2i−2i0000000000000000000-2200−2i2i00002i−2i000000
χ374444444444444-2-2-2-2-2-2-2-2441111-2-2-2-2000000-2-2-2-2111111000000000000000000000000000
χ38444444444-4-444-2-2-2-2-2-2-2-2-4-411112222000000-22-22-1-111-1-1000000000000000000000000000
χ3944444444-44-4-4-4-2-2-2-2-2-2-2-24-4111122-2-20000002-222-1-1-1-111000000000000000000000000000
χ4044444444-4-44-4-4-2-2-2-2-2-2-2-2-441111-2-222000000222-211-1-1-1-1000000000000000000000000000
χ4144-4-444-4-400000444-44-4-4-40044-4-400000000000000000000000000000000000000000000000
χ4244-4-444-4-4000004-2-2242-4-400-2-222000000000000000000000000000000000000023−2300000000
χ4344-4-444-4-4000004-2-2242-4-400-2-2220000000000000000000000000000000000000−232300000000
χ4444-4-444-4-400000-244-4-2-42200-2-22200000000000000000000000000000000000−2i32i30000000000
χ4544-4-444-4-400000-244-4-2-42200-2-222000000000000000000000000000000000002i3−2i30000000000
χ464-44-44-44-4000004-22-2-424-400-222-200004-400000000000000000000000-220000000000000000
χ474-44-44-44-4000004-22-2-424-400-222-20000-44000000000000000000000002-20000000000000000
χ484-44-44-44-400000-24-442-4-2200-222-2000000004i−4i00000000000000000000000000000−2i2i000000
χ494-44-44-44-400000-24-442-4-2200-222-200000000−4i4i000000000000000000000000000002i−2i000000
χ504-4-444-4-440000044-4-4-44-44004-44-400000000000000000000000000000000000000000000000
χ514-4-444-4-44000004-222-4-2-4400-22-22−2i32i3000000000000−2i32i30000000000000000000000000000000
χ524-4-444-4-44000004-222-4-2-4400-22-222i3−2i30000000000002i3−2i30000000000000000000000000000000
χ534-4-444-4-4400000-24-4-4242-200-22-220023−230000000000000023−23000000000000000000000000000
χ544-4-444-4-4400000-24-4-4242-200-22-2200−232300000000000000−2323000000000000000000000000000
χ554-4-444-4-4400000-2-2222-22-2001-11-1−2i32i323−230000000000i3−i33i−3i−33000000000000000000000000000
χ564-4-444-4-4400000-2-2222-22-2001-11-1−2i32i3−23230000000000i3−i3−3i3i3−3000000000000000000000000000
χ574-4-444-4-4400000-2-2222-22-2001-11-12i3−2i323−230000000000−i3i3−3i3i−33000000000000000000000000000
χ584-4-444-4-4400000-2-2222-22-2001-11-12i3−2i3−23230000000000−i3i33i−3i3−3000000000000000000000000000
χ596666-3-3-3-3666-3-300000000-3-300000000002200000000000000202002000-1-1-1-100000000-1-100
χ606666-3-3-3-3666-3-300000000-3-30000000000-2-200000000000000-20-200-20001111000000001100
χ616666-3-3-3-36-6-6-3-300000000330000000000220000000000000020-200-2000-1-1-1-1000000001100
χ626666-3-3-3-36-6-6-3-300000000330000000000-2-200000000000000-202002000111100000000-1-100
χ636666-3-3-3-3-66-63300000000-3300000000002200000000000000-20-200200011-1-1000000001-100
χ646666-3-3-3-3-66-63300000000-330000000000-2-20000000000000020200-2000-1-11100000000-1100
χ656666-3-3-3-3-6-6633000000003-300000000002200000000000000-20200-200011-1-100000000-1100
χ666666-3-3-3-3-6-6633000000003-30000000000-2-20000000000000020-2002000-1-111000000001-100
χ6788-8-888-8-800000-4-4-44-44440022-2-200000000000000000000000000000000000000000000000
χ688-88-88-88-800000-4-44-444-44002-2-2200000000000000000000000000000000000000000000000
χ691212-12-12-6-66600000000000000000000000000000000000000000000000000−2i32i300000000000000
χ701212-12-12-6-666000000000000000000000000000000000000000000000000002i3−2i300000000000000
χ7112-1212-12-66-6600000000000000000000000004i−4i0000000000000000000000000−2i2i000000000000
χ7212-1212-12-66-660000000000000000000000000−4i4i00000000000000000000000002i−2i000000000000
χ7312-12-1212-666-600063−630000000000000000000000000000000000000000000000000000000000000
χ7412-12-1212-666-6000−63630000000000000000000000000000000000000000000000000000000000000

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