Finite Group Databasebeta

← Group #145014

Character table — Group #145014

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111122222222222244444448888888888888888816161616161616161616161632323232
order12222244444488884448888444488888161616161616161644448888161616164488
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ511111111111111111111111-1-1-1-11-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ611111111111111111111111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ711111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111
χ811111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ9222222222222-2-2-2-2222-2-2-2-22222-2-2-2-2-2000000000000000000000000
χ10222222222222-2-2-2-2222-2-2-2-2-2-2-2-2-22222000000000000000000000000
χ11222222222-2-222222-2-2-222-2-20000-200000000000022-2-2000000000000
χ12222222222-2-222222-2-2-222-2-20000-2000000000000-2-222000000000000
χ13222222222-2-22-2-2-2-2-2-2-2-2-222000020000000000000000000000002-200
χ14222222222-2-22-2-2-2-2-2-2-2-2-22200002000000000000000000000000-2200
χ15222222-2-2-2-2-2-20000-222000022-2-200000i2i2i2i2−i2−i2−i2−i200000000i2i2−i2−i20000
χ16222222-2-2-2-2-2-20000-222000022-2-200000−i2−i2−i2−i2i2i2i2i200000000−i2−i2i2i20000
χ17222222-2-2-2-2-2-20000-2220000-2-22200000i2i2i2i2−i2−i2−i2−i200000000−i2−i2i2i20000
χ18222222-2-2-2-2-2-20000-2220000-2-22200000−i2−i2−i2−i2i2i2i2i200000000i2i2−i2−i20000
χ192222-2-22-2-22220000-22-200000000022-2-222−2−222−2−2000000002−22−20000
χ202222-2-22-2-22220000-22-200000000022-2-2−2−222−2−22200000000−22−220000
χ212222-2-22-2-22220000-22-2000000000-2-22222−2−222−2−200000000−22−220000
χ222222-2-22-2-22220000-22-2000000000-2-222−2−222−2−222000000002−22−20000
χ232222-2-2-22222-22222-2-22-2-2220000-2000000000000000022-2-200000000
χ242222-2-2-22222-22222-2-22-2-2220000-20000000000000000-2-22200000000
χ252222-2-2-22222-2-2-2-2-2-2-2222-2-200002000000000000000000000000002i−2i
χ262222-2-2-22222-2-2-2-2-2-2-2222-2-20000200000000000000000000000000−2i2i
χ272222-2-2-222-2-2-2222222-2-2-2-2-20000200002i2i−2i−2i−2i−2i2i2i0000000000000000
χ282222-2-2-222-2-2-2222222-2-2-2-2-2000020000−2i−2i2i2i2i2i−2i−2i0000000000000000
χ292222-2-2-222-2-2-2-2-2-2-222-222220000-2000000000000000000002i−2i−2i2i0000
χ302222-2-2-222-2-2-2-2-2-2-222-222220000-200000000000000000000−2i2i2i−2i0000
χ312-2-222-222-200-2-2-2220002-200000000000i2−i2i2−i2i2−i2i2−i22i−2i002−22−200000000
χ322-2-222-222-200-2-2-2220002-200000000000i2−i2i2−i2i2−i2i2−i2−2i2i00−22−2200000000
χ332-2-222-222-200-2-2-2220002-200000000000−i2i2−i2i2−i2i2−i2i22i−2i00−22−2200000000
χ342-2-222-222-200-2-2-2220002-200000000000−i2i2−i2i2−i2i2−i2i2−2i2i002−22−200000000
χ352-2-22-22-22-2002-2-222000-22000000000002−2−22−222−2002-22−2−2200000000
χ362-2-22-22-22-2002-2-222000-22000000000002−2−22−222−200-22−222−200000000
χ372-2-22-22-22-2002-2-222000-2200000000000−222−22−2−22002-2−222−200000000
χ382-2-22-22-22-2002-2-222000-2200000000000−222−22−2−2200-222−2−2200000000
χ39444444-4-4-444-400004-4-40000000000000000000000000000000000000
χ404444-4-44-4-4-4-4400004-440000000000000000000000000000000000000
χ4144-4-4000004-4022−2222−220000022−222-22-200022−22000000000000000000000000
χ4244-4-4000004-4022−2222−220000022−22-22-22000−2222000000000000000000000000
χ4344-4-4000004-40−2222−222200000−22222-22-2000−2222000000000000000000000000
χ4444-4-4000004-40−2222−222200000−2222-22-2200022−22000000000000000000000000
χ4544-4-400000-44022−2222−2200000−22222-2-22022−2200000000000000000000000000
χ4644-4-400000-44022−2222−2200000−2222-222-20−222200000000000000000000000000
χ4744-4-400000-440−2222−22220000022−222-2-220−222200000000000000000000000000
χ4844-4-400000-440−2222−22220000022−22-222-2022−2200000000000000000000000000
χ494-4-444-444-400-444-4-4000-4400000000000000000000000000000000000
χ504-4-444-4-4-44004000000000000000000002-22-2-22-220000000000000000
χ514-4-444-4-4-4400400000000000000000000-22-222-22-20000000000000000
χ524-4-44-444-4400-4000000000000000000002i−2i−2i2i2i−2i−2i2i0000000000000000
χ534-4-44-444-4400-400000000000000000000−2i2i2i−2i−2i2i2i−2i0000000000000000
χ544-4-44-44-44-400444-4-40004-400000000000000000000000000000000000
χ558-88-80000000042−42−42420000000000000000000000000000000000000000
χ568-88-800000000−424242−420000000000000000000000000000000000000000

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