Finite Group Databasebeta

← Group #270732

Character table — Group #270732

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111122222222444444444448888888888888816161616161616161616161616161616163232
order12222244444444444444444244444444444882444448888888888848
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-111-1-1111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-111-1-1111111-1-111-1-1-1-1-1-1-111-1-1-1-111-11
χ411111111111111111111111-1-111-1-1111111-1-1-1-1-1-111-1-1-1-1-11111-1-11-1
χ5111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1111111-1-1-11111-1-1-1-1-1-1
χ6111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1111111
χ7111111111111111111-1-1-1-11-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111-1-111-1-11-1
χ8111111111111111111-1-1-1-11-1-111-1-1-1-1-1-1-1-111-1-1-1-111111-1-111-1-111-11
χ911111111111111-1-1-1-11111111-1-11111-1-1-1-11111-1-1111-1-1-1-1-1-1-1-1-1-111
χ1011111111111111-1-1-1-11111111-1-11111-1-1-1-111-1-1-1-1-1-11-1-111111111-1-1
χ1111111111111111-1-1-1-111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-111-1-11111-1-1-11
χ1211111111111111-1-1-1-111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-11111-1-1-1-1111-1
χ1311111111111111-1-1-1-1-1-1-1-1111-1-111-1-11111-1-111-1-111-111-1-1-1-11111-1-1
χ1411111111111111-1-1-1-1-1-1-1-1111-1-111-1-11111-1-1-1-1-1-1-1-1-1111111-1-1-1-111
χ1511111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111111111-1-11-1-1-1-111-1-1111-1
χ1611111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111-1-111111-1-111-1-111-1-1-11
χ172222222222-2-2-2-200002222-22200-2-2-2-2000022000000-2000000000000
χ182222222222-2-2-2-200002222-2-2-20022-2-20000-2-20000002000000000000
χ192222222222-2-2-2-20000-2-2-2-2-22200-2-2220000-2-20000002000000000000
χ202222222222-2-2-2-20000-2-2-2-2-2-2-2002222000022000000-2000000000000
χ21222222-2-2-2-2222-222-2-20000-2002-2000000000000002-2000002-2000000
χ22222222-2-2-2-2222-222-2-20000-2002-200000000000000-2200000-22000000
χ23222222-2-2-2-2222-2-2-2220000-200-22000000000000002-200000-22000000
χ24222222-2-2-2-2222-2-2-2220000-200-2200000000000000-22000002-2000000
χ252222-2-22-22-222-2-222-2-2000022-2-222-200000000002-2000000000000000
χ262222-2-22-22-222-2-222-2-200002-22-22-220000000000-22000000000000000
χ272222-2-22-22-222-2-2-2-222000022-22-22-20000000000-22000000000000000
χ282222-2-22-22-222-2-2-2-22200002-222-2-2200000000002-2000000000000000
χ292222-2-22-22-2-2-22200000000-22-200-22002i2i−2i−2i0000000002i−2i0000000000
χ302222-2-22-22-2-2-22200000000-22-200-2200−2i−2i2i2i000000000−2i2i0000000000
χ312222-2-22-22-2-2-22200000000-2-22002-2002i2i−2i−2i000000000−2i2i0000000000
χ322222-2-22-22-2-2-22200000000-2-22002-200−2i−2i2i2i0000000002i−2i0000000000
χ332222-2-2-22-2222-2222220000-200-2-200000000002-200000002-200000000
χ342222-2-2-22-2222-2222220000-200-2-20000000000-220000000-2200000000
χ352222-2-2-22-2222-22-2-2-2-20000-2002200000000002-20000000-2200000000
χ362222-2-2-22-2222-22-2-2-2-20000-200220000000000-2200000002-200000000
χ37444444-4-4-4-4-4-4-44000000004000000000000000000000000000000000
χ384444-4-4-44-44-4-44-4000000004000000000000000000000000000000000
χ3944-4-44-44-4-44000000000000000000000000000000000000000022−220000
χ4044-4-44-44-4-440000000000000000000000000000000000000000−22220000
χ4144-4-44-4-444-40000000044-4-40000000000000000000000000000000000
χ4244-4-44-4-444-400000000-4-4440000000000000000000000000000000000
χ4344-4-4-4444-4-400000000000000000000000000000000000000000022−2200
χ4444-4-4-4444-4-4000000000000000000000000000000000000000000−222200
χ4544-4-4-44-4-44400000000000000000000000004i−4i0000000000000000000
χ4644-4-4-44-4-4440000000000000000000000000−4i4i0000000000000000000
χ474-44-40000004-400004i−4i2i−2i2i−2i00000002i−2i2-22-2000000000000000000000
χ484-44-40000004-400004i−4i−2i2i−2i2i0000000−2i2i-22-22000000000000000000000
χ494-44-40000004-40000−4i4i2i−2i2i−2i00000002i−2i-22-22000000000000000000000
χ504-44-40000004-40000−4i4i−2i2i−2i2i0000000−2i2i2-22-2000000000000000000000
χ514-44-4000000-44004-4002i−2i2i−2i0000000−2i2i2i−2i−2i2i000000000000000000000
χ524-44-4000000-44004-400−2i2i−2i2i00000002i−2i−2i2i2i−2i000000000000000000000
χ534-44-4000000-4400-44002i−2i2i−2i0000000−2i2i−2i2i2i−2i000000000000000000000
χ544-44-4000000-4400-4400−2i2i−2i2i00000002i−2i2i−2i−2i2i000000000000000000000
χ558-8-88000000000000004i−4i−4i4i0000000000000000000000000000000000
χ568-8-8800000000000000−4i4i4i−4i0000000000000000000000000000000000

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