Finite Group Databasebeta

← Group #13148663

Character table — Group #13148663

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74
size11112222444446666666688121212121212121218181818181824242424242424242424363636363636363636363636363636363636363636727272727272
order1222366624412123366666661236666612122244446661212121212121222244444466666612121212121261212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1111111111111-1-1-11-1-1-1-1-11111-1-1-1-1-1-11-1-11-1-1
χ31111111111111111111111111111111-1-111-1-11111111111-1-11-11-11-1-111-1-1-1-111-1-1-1-1-111-1-1-1
χ41111111111111111111111111111111-1-1-1-1111111111111-1-1-11-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111
χ5111111111-1-1-1-1111111111-1111111-1-1111111111-1-1-1-1-1-1-11-1-1-1-1-111-1-1-111111111-1-1-11-1-1-11
χ6111111111-1-1-1-1111111111-1111111-1-111-1-1-1-1111-1-1-1-1-1-1-11-1111-1-1-11111111-1-1-1-111-1-11-11-1
χ7111111111-1-1-1-1111111111-1111111-1-1-1-111-1-1111-1-1-1-1-1-1-1-11-11-111-11-1-1-1-1-1-111-1-11111-111-1
χ8111111111-1-1-1-1111111111-1111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-111-111-11-111-1-1-1-1-1-111-1-11-111-11
χ911111111-11-1-1-111111111-111-1-111111111111-1-1-11-1-111-1-1-11-1-11-1-1-11-1-111-1-11111111-11-1-1-1
χ1011111111-11-1-1-111111111-111-1-11111111-1-1-1-1-1-1-11-1-111-1-1-1111-1-111-11111-1-1-1-1-1-1-1-111-1-111
χ1111111111-11-1-1-111111111-111-1-111111-1-111-1-1-1-1-11-1-111-1-11-1-1111-11-1-1-1-1-11111-1-1-1-1-1-11111
χ1211111111-11-1-1-111111111-111-1-111111-1-1-1-111-1-1-11-1-111-1-11-11-1-111-1111-1-111-1-11111-11-11-1-1
χ1311111111-1-111111111111-1-11-1-1111-1-1111111-1-1-1-111-1-111-1-111-11-1-1-11111-1-11111-1-1-1-1-111-1
χ1411111111-1-111111111111-1-11-1-1111-1-111-1-1-1-1-1-1-1-111-1-111-1-1-1-111111-1-111-1-1-1-1-1-111-1111-11
χ1511111111-1-111111111111-1-11-1-1111-1-1-1-111-1-1-1-1-1-111-1-111111-1-1-1-11111-1-11111-1-1111-1-1-1-11
χ1611111111-1-111111111111-1-11-1-1111-1-1-1-1-1-111-1-1-1-111-1-11111-111-11-1-1-1-1-1-111-1-111-1-1111-11-1
χ1722222222222222-1-1-1-122222-1-1-1-1-1-1222200002-1-1-1-12-1-1-1-122000200000-1-1-1-1000000-100-100
χ1822222222222222-1-1-1-122222-1-1-1-1-1-122-2-200002-1-1-1-12-1-1-1-1-2-2000-2000001111000000100100
χ192222222222222-12222-1-1-122-122-1-1-1-1-1000022-1-1-122-1-1-1-1-100020002200000000-1-1-1-10000-1-1
χ202222222222222-12222-1-1-122-122-1-1-1-1-10000-2-2-1-1-122-1-1-1-1-1000-2000-2-2000000001111000011
χ21222222222-2-2-2-22-1-1-1-12222-2-1-1-1-1-1-1-2-22200002-1-111-211112-2000-200000-1-1-1-1000000100100
χ22222222222-2-2-2-22-1-1-1-12222-2-1-1-1-1-1-1-2-2-2-200002-1-111-21111-220002000001111000000-100-100
χ23222222222-2-2-2-2-12222-1-1-12-2-122-1-1-111000022-1-1-1-2-211111000-20002-200000000-1-11100001-1
χ24222222222-2-2-2-2-12222-1-1-12-2-122-1-1-1110000-2-2-1-1-1-2-2111110002000-220000000011-1-10000-11
χ2522222222-22-2-2-22-1-1-1-1222-22-111-1-1-122220000-211-11-2-1-111-22000-200000-1-111000000-100100
χ2622222222-22-2-2-22-1-1-1-1222-22-111-1-1-122-2-20000-211-11-2-1-1112-200020000011-1-1000000100-100
χ2722222222-22-2-2-2-12222-1-1-1-22-1-2-2-1-1-1-1-10000221112-21-1-111000-2000-2200000000-1-1-1-1000011
χ2822222222-22-2-2-2-12222-1-1-1-22-1-2-2-1-1-1-1-10000-2-21112-21-1-11100020002-20000000011110000-1-1
χ2922222222-2-22222-1-1-1-1222-2-2-111-1-1-1-2-2220000-2111-1211-1-1-2-2000200000-1-111000000100-100
χ3022222222-2-22222-1-1-1-1222-2-2-111-1-1-1-2-2-2-20000-2111-1211-1-122000-20000011-1-1000000-100100
χ3122222222-2-2222-12222-1-1-1-2-2-1-2-2-1-1-111000022111-22-111-1-10002000-2-200000000-1-1110000-11
χ3222222222-2-2222-12222-1-1-1-2-2-1-2-2-1-1-1110000-2-2111-22-111-1-1000-2000220000000011-1-100001-1
χ3322-2-222-2-200000222-2-22-2-200200-22-2002-22i−2i2i−2i0000000000000000000002-2002i−2i2i−2i00000000
χ3422-2-222-2-200000222-2-22-2-200200-22-2002-2−2i2i−2i2i0000000000000000000002-200−2i2i−2i2i00000000
χ3522-2-222-2-200000222-2-22-2-200200-22-200-222i−2i−2i2i000000000000000000000-22002i−2i−2i2i00000000
χ3622-2-222-2-200000222-2-22-2-200200-22-200-22−2i2i2i−2i000000000000000000000-2200−2i2i2i−2i00000000
χ374444444444444-2-2-2-2-2-2-2-2441-2-2111-2-2000000-211-2-2-21111000000000000000000000000000
χ38444444444-4-4-4-4-2-2-2-2-2-2-2-24-41-2-211122000000-211222-1-1-1-1000000000000000000000000000
χ3944444444-44-4-4-4-2-2-2-2-2-2-2-2-44122111-2-20000002-1-1-22211-1-1000000000000000000000000000
χ4044444444-4-4444-2-2-2-2-2-2-2-2-4-4122111220000002-1-12-2-2-1-111000000000000000000000000000
χ4144-4-444-4-4000004-2-2224-4-400-2002-22004-40000000000000000000000000-2200000000000000
χ4244-4-444-4-4000004-2-2224-4-400-2002-2200-4400000000000000000000000002-200000000000000
χ4344-4-444-4-400000-244-4-4-22200-2002-220000004i−4i000000000000000000000000000−2i2i00000000
χ4444-4-444-4-400000-244-4-4-22200-2002-22000000−4i4i0000000000000000000000000002i−2i00000000
χ454-44-44-4-440000044-44-4-44-400400-4-44000000000000000000000000000000000000000000000
χ464-44-44-4-44000004-22-22-44-400-20022-20000000000000000000000000000000−2i32i3000000000000
χ474-44-44-4-44000004-22-22-44-400-20022-200000000000000000000000000000002i3−2i3000000000000
χ484-44-44-4-4400000-24-44-42-2200-20022-2000000000000000000000000000000000000023−23000000
χ494-44-44-4-4400000-24-44-42-2200-20022-20000000000000000000000000000000000000−2323000000
χ504-4-444-44-40000044-4-44-4-44004004-4-4000000000000000000000000000000000000000000000
χ514-4-444-44-4000004-222-2-4-4400-2−2i32i3-222000000000−2i32i30000000000000000000000000000000000
χ524-4-444-44-4000004-222-2-4-4400-22i3−2i3-2220000000002i3−2i30000000000000000000000000000000000
χ534-4-444-44-400000-24-4-4422-200-200-22223−2300000000000023−2300000000000000000000000000000
χ544-4-444-44-400000-24-4-4422-200-200-222−2323000000000000−232300000000000000000000000000000
χ554-4-444-44-400000-2-222-222-2001−2i32i31-1-123−230000000i3−i3000−333i−3i000000000000000000000000000
χ564-4-444-44-400000-2-222-222-2001−2i32i31-1-1−23230000000i3−i30003−3−3i3i000000000000000000000000000
χ574-4-444-44-400000-2-222-222-20012i3−2i31-1-123−230000000−i3i3000−33−3i3i000000000000000000000000000
χ584-4-444-44-400000-2-222-222-20012i3−2i31-1-1−23230000000−i3i30003−33i−3i000000000000000000000000000
χ596666-3-3-3-3666-3-300000000-3-3000000000022000000000000002020200-1-10000-1-100000-1-1000
χ606666-3-3-3-3666-3-300000000-3-30000000000-2-200000000000000-20-20-200110000110000011000
χ616666-3-3-3-36-6-63300000000-3300000000002200000000000000-20-20200110000-1-100000-11000
χ626666-3-3-3-36-6-63300000000-330000000000-2-2000000000000002020-200-1-1000011000001-1000
χ636666-3-3-3-3-66-633000000003-300000000002200000000000000-2020-200110000-1-1000001-1000
χ646666-3-3-3-3-66-633000000003-30000000000-2-20000000000000020-20200-1-100001100000-11000
χ656666-3-3-3-3-6-66-3-300000000330000000000220000000000000020-20-200-1-10000-1-10000011000
χ666666-3-3-3-3-6-66-3-300000000330000000000-2-200000000000000-20202001100001100000-1-1000
χ6788-8-888-8-800000-4-4-444-44400200-22-2000000000000000000000000000000000000000000000
χ688-88-88-8-8800000-4-44-444-4400200-2-22000000000000000000000000000000000000000000000
χ691212-12-12-6-66600000000000000000000000004i−4i000000000000000000000000000−2i2i0000000000
χ701212-12-12-6-6660000000000000000000000000−4i4i0000000000000000000000000002i−2i0000000000
χ7112-1212-12-666-6000000000000000000000000000000000000000000000000−2i32i30000000000000000
χ7212-1212-12-666-60000000000000000000000000000000000000000000000002i3−2i30000000000000000
χ7312-12-1212-66-6600063−630000000000000000000000000000000000000000000000000000000000000
χ7412-12-1212-66-66000−63630000000000000000000000000000000000000000000000000000000000000

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