Finite Group Databasebeta

← Group #263122

Character table — Group #263122

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111122222222444444444888888888888816161616161616161616161616161616161616161616
order12222244444444488888824444444888882224444444888888888888
χ111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1-1-1-1-1-1-11-111-111111111-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-111-1-111111111
χ5111111111111111111111-1-1-1-1111111111-111-1-1-111-1-1-1-1-1-11111-1-1-1-1
χ6111111111111111111111-1-1-1-1111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111
χ7111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-1-1-111-1-1-1-11111
χ8111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-1-111-1-1111111-1-1-1-1
χ9111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-111-11-1-1-11-1-1-11111-1-111-1-1
χ10111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111-11-1-111-1-111-1-111
χ11111111111111111-1-1-1-1-1-11111-1-1-1-11111-111111-1-1-11-1-1-1-1-1-1-111-1-111
χ12111111111111111-1-1-1-1-1-11111-1-1-1-11111-11-1-11-1111-11-1-1-1-111-1-111-1-1
χ13111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11111-11-1-1-1111-1-111-1-1-1-111
χ14111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11-1-111-1111-111-1-1-1-11111-1-1
χ15111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11-1-1-111111-1-11111-1-1
χ16111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11-1111-1111111-1-1-1-111
χ172222222-2222-2-2-2-22222-2-222-2-200000000-20000000000-220000000000
χ182222222-2222-2-2-2-22222-2-2-2-22200000000-200000000002-20000000000
χ192222222-2222-2-2-2-2-2-2-2-22222-2-200000000200000000002-20000000000
χ202222222-2222-2-2-2-2-2-2-2-222-2-2220000000020000000000-220000000000
χ212222-2-2222-2-22-2-220000002-2-22000022-2-20200-2000000000000000000
χ222222-2-2222-2-22-2-220000002-2-220000-2-2220-2002000000000000000000
χ232222-2-2222-2-22-2-22000000-222-2000022-2-20-2002000000000000000000
χ242222-2-2222-2-22-2-22000000-222-20000-2-2220200-2000000000000000000
χ252222-2-22-22-2-2-222-20000002-22-22i2i−2i−2i000000000000000002i−2i00000000
χ262222-2-22-22-2-2-222-20000002-22-2−2i−2i2i2i00000000000000000−2i2i00000000
χ272222-2-22-22-2-2-222-2000000-22-222i2i−2i−2i00000000000000000−2i2i00000000
χ282222-2-22-22-2-2-222-2000000-22-22−2i−2i2i2i000000000000000002i−2i00000000
χ292222-2-2-22-22222-2-222-2-222000000000000-200002200-2-2000000000000
χ302222-2-2-22-22222-2-222-2-222000000000000-20000-2-20022000000000000
χ312222-2-2-22-22222-2-2-2-222-2-2000000000000200002-200-22000000000000
χ322222-2-2-22-22222-2-2-2-222-2-200000000000020000-22002-2000000000000
χ332222-2-2-2-2-222-2-22222-2-2-2-2000000000000202-20002-200000000000000
χ342222-2-2-2-2-222-2-22222-2-2-2-200000000000020-22000-2200000000000000
χ352222-2-2-2-2-222-2-222-2-22222000000000000-202-2000-2200000000000000
χ362222-2-2-2-2-222-2-222-2-22222000000000000-20-220002-200000000000000
χ37444444-44-4-4-44-44-400000000000000000000000000000000000000000
χ38444444-4-4-4-4-4-44-4400000000000000000000000000000000000000000
χ3944-4-44-440-44-4000000000000000000000000000000000000000000022−22
χ4044-4-44-440-44-40000000000000000000000000000000000000000000−2222
χ4144-4-44-4-404-4400000000000000000000000000000000000002i2−2i2000000
χ4244-4-44-4-404-440000000000000000000000000000000000000−2i22i2000000
χ4344-4-4-4440-4-440000000000000000000000000000000000000002i2−2i20000
χ4444-4-4-4440-4-44000000000000000000000000000000000000000−2i22i20000
χ4544-4-4-44-4044-4000000000000000000000000000000000000000002i2−2i200
χ4644-4-4-44-4044-400000000000000000000000000000000000000000−2i22i200
χ474-4-440004000-400022−220022−2200002i−2i2i−2i002i2−2i200000000000000000000000
χ484-4-440004000-400022−220022−220000−2i2i−2i2i00−2i22i200000000000000000000000
χ494-4-440004000-4000−222200−222200002i−2i2i−2i00−2i22i200000000000000000000000
χ504-4-440004000-4000−222200−22220000−2i2i−2i2i002i2−2i200000000000000000000000
χ514-4-44000-4000400022−2200−222200002-2-2222−220000000000000000000000000
χ524-4-44000-4000400022−2200−22220000-222-2−22220000000000000000000000000
χ534-4-44000-40004000−22220022−2200002-2-22−22220000000000000000000000000
χ544-4-44000-40004000−22220022−220000-222-222−220000000000000000000000000
χ558-88-800000000000004i2−4i20000000000000000000000000000000000000
χ568-88-80000000000000−4i24i20000000000000000000000000000000000000

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