Finite Group Databasebeta

← Group #285451

Character table — Group #285451

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size1111222222444444444444448888888888888881616161616161616161616161616323232
order12224444442224448888888844488888888888822244488888888488
χ111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-111-1-1-111-1-1-1-1111-1-1-1-1-1
χ311111111111111111111-1-1-1-1111-1-111-1-1-1-111-1-1111-1-1111111-1-1-1-1-1-1
χ411111111111111111111-1-1-1-1111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111111
χ51111111111111111-1-1-1-11111111-1-1-1-111-1-11111-1-1-1-1-1-1111-1-1111-11-1
χ61111111111111111-1-1-1-11111111-1-1-1-111-1-1-1-111111-1-11-1-1-1-1-11-1-11-11
χ71111111111111111-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1-111-1111-1-1-1-1-11-11
χ81111111111111111-1-1-1-1-1-1-1-111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111-11-1
χ911111111111-1-111111111111-1-1-11111-1-11111111-1-1-1-111-1-1-1-1-111-1-11
χ1011111111111-1-111111111111-1-1-11111-1-111-1-111-111-1-1-1-111-1-1-1-1-111-1
χ1111111111111-1-11111111-1-1-1-1-1-1-1-1-11111-1-111-1-11-1-11111-1-1-1-11-1-111-1
χ1211111111111-1-11111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11111-1-111-1-1111-1-11
χ1311111111111-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111-11111-11-1-111-1111-1-1
χ1411111111111-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1111-11111-1-1-1-111
χ1511111111111-1-1111-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-111-1-1-11-1-1111-1-1-111
χ1611111111111-1-1111-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11-1-1-1-11-111111111-1-1
χ17222222-2-222-222-22-200002222-22-20000220000-2-200000000000-200000
χ18222222-2-222-222-22-20000-2-2-2-2-22-20000-2-200002200000000000200000
χ19222222-2-222-2-2-2-22-2000022222-220000-2-20000-2-200000000000200000
χ20222222-2-222-2-2-2-22-20000-2-2-2-22-2200002200002200000000000-200000
χ2122222-2222-2-222-2-22000000002-2-2220000-2-20000000-22000000000000
χ2222222-2222-2-222-2-22000000002-2-2-2-200002200000002-2000000000000
χ2322222-2222-2-2-2-2-2-2200000000-222220000-2-200000002-2000000000000
χ2422222-2222-2-2-2-2-2-2200000000-222-2-20000220000000-22000000000000
χ2522222-2-2-22-22222-2-22i2i−2i−2i0000-2-22002i−2i000000000000000002i−2i000000
χ2622222-2-2-22-22222-2-2−2i−2i2i2i0000-2-2200−2i2i00000000000000000−2i2i000000
χ2722222-2-2-22-22-2-22-2-22i2i−2i−2i000022-2002i−2i00000000000000000−2i2i000000
χ2822222-2-2-22-22-2-22-2-2−2i−2i2i2i000022-200−2i2i000000000000000002i−2i000000
χ292222-2222-22-2002-2-22222000000000-2-20000220020000-2-20000000000
χ302222-2222-22-2002-2-22222000000000-2-20000-2-200-20000220000000000
χ312222-2222-22-2002-2-2-2-2-2-20000000002200002200-200002-20000000000
χ322222-2222-22-2002-2-2-2-2-2-2000000000220000-2-20020000-220000000000
χ332222-2-2-2-2-2-2-2002222i2i−2i−2i000000000−2i2i0000000002-200002i−2i00000000
χ342222-2-2-2-2-2-2-2002222i2i−2i−2i000000000−2i2i000000000-220000−2i2i00000000
χ352222-2-2-2-2-2-2-200222−2i−2i2i2i0000000002i−2i0000000002-20000−2i2i00000000
χ362222-2-2-2-2-2-2-200222−2i−2i2i2i0000000002i−2i000000000-2200002i−2i00000000
χ374444-44-4-4-44400-4-440000000000000000000000000000000000000000
χ384444-4-444-4-4400-44-40000000000000000000000000000000000000000
χ3944-4-4004-4000000002i2−2i22i2−2i22i2i−2i−2i00000000022−22002i−2i00000000000000000
χ4044-4-4004-4000000002i2−2i22i2−2i2−2i−2i2i2i000000000−222200−2i2i00000000000000000
χ4144-4-4004-400000000−2i22i2−2i22i22i2i−2i−2i000000000−2222002i−2i00000000000000000
χ4244-4-4004-400000000−2i22i2−2i22i2−2i−2i2i2i00000000022−2200−2i2i00000000000000000
χ4344-4-400-440000000022−22−22222i2i−2i−2i0002i2−2i200000000−2i2i00000000000000000
χ4444-4-400-440000000022−22−2222−2i−2i2i2i000−2i22i2000000002i−2i00000000000000000
χ4544-4-400-4400000000−222222−222i2i−2i−2i000−2i22i200000000−2i2i00000000000000000
χ4644-4-400-4400000000−222222−22−2i−2i2i2i0002i2−2i2000000002i−2i00000000000000000
χ474-44-404000-4000000000022−2222−22000000000002i2−2i2000000000000002i−2i000
χ484-44-404000-4000000000022−2222−2200000000000−2i22i200000000000000−2i2i000
χ494-44-404000-40000000000−2222−2222000000000002i2−2i200000000000000−2i2i000
χ504-44-404000-40000000000−2222−222200000000000−2i22i2000000000000002i−2i000
χ514-4-444000-4004-400000002i2−2i2−2i22i200000002i2−2i200000000000000000000000
χ524-4-444000-4004-40000000−2i22i22i2−2i20000000−2i22i200000000000000000000000
χ534-4-444000-400-4400000002i2−2i2−2i22i20000000−2i22i200000000000000000000000
χ544-4-444000-400-440000000−2i22i22i2−2i200000002i2−2i200000000000000000000000
χ558-88-80-800080000000000000000000000000000000000000000000000
χ568-8-88-8000800000000000000000000000000000000000000000000000

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