Finite Group Databasebeta

← Group #277577

Character table — Group #277577

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222222244444444448888888888888888888816161616161616161616161616163232
order12222222444444444444448888444444888888888888884444444488888822
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-111111-1-1-1-1-111-1-11-1
χ61111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1111-1-1-111-1-111-11
χ71111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-111-1-1-1111-1-1-1-111-11
χ81111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11111111-1-11-1
χ911111111111111111-1-1-1-1111111111-1-11111-1-1-1-1111111-1-11-1-11-1-1-1-11111-1-1
χ1011111111111111111-1-1-1-1111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111-1-11-1-111-1-1-1-111
χ1111111111111111111-1-1-1-111111-1-1-1-1-1-11111-1-1-1-1111111-1-1-111-111-1-1-1-1-1-111
χ1211111111111111111-1-1-1-111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-111-111111111-1-1
χ1311111111111111111-1-1-1-11-1-1-1-111-1-1-1-111-1-1111111-1-1-1-1-1-11-1-1-1111111-1-1-11
χ1411111111111111111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111111-1-1-111-1-1-1-1111-1
χ1511111111111111111-1-1-1-11-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1-1111-1-111-1-1111-1
χ1611111111111111111-1-1-1-11-1-1-1-1-1-111-1-1-1-1-1-11111-1-1111111-1111-1-1-1-111-1-1-11
χ172222222222-2-2-222-2-20000-2222222220000-2-2000000000000-200-20000000000
χ182222222222-2-2-222-2-20000-22222-2-2-2-20000-2-200000000000020020000000000
χ192222222222-2-2-222-2-20000-2-2-2-2-222-2-2000022000000000000-20020000000000
χ202222222222-2-2-222-2-20000-2-2-2-2-2-2-222000022000000000000200-20000000000
χ2122222222-2-2222-2-22-22222-200000000-2-222000000-2-200002-200000000000000
χ2222222222-2-2222-2-22-22222-200000000-2-2-2-2000000220000-2200000000000000
χ2322222222-2-2222-2-22-2-2-2-2-2-2000000002222000000-2-20000-2200000000000000
χ2422222222-2-2222-2-22-2-2-2-2-2-20000000022-2-20000002200002-200000000000000
χ2522-2-222-2-222-2-22-2-22222-2-2-2000000002-200000000002i2i−2i−2i000000002i−2i000000
χ2622-2-222-2-222-2-22-2-22222-2-2-2000000002-20000000000−2i−2i2i2i00000000−2i2i000000
χ2722-2-222-2-222-2-22-2-222-2-222-200000000-2200000000002i2i−2i−2i00000000−2i2i000000
χ2822-2-222-2-222-2-22-2-222-2-222-200000000-220000000000−2i−2i2i2i000000002i−2i000000
χ2922-2-222-2-2-2-222-222-220000-222-2-2000000002-200000000000002i−2i02i−2i00000000
χ3022-2-222-2-2-2-222-222-220000-222-2-2000000002-20000000000000−2i2i0−2i2i00000000
χ3122-2-222-2-2-2-222-222-220000-2-2-22200000000-2200000000000002i−2i0−2i2i00000000
χ3222-2-222-2-2-2-222-222-220000-2-2-22200000000-220000000000000−2i2i02i−2i00000000
χ3322-2-222-2-2-2-2-2-22222-222-2-2222-2-20000-2200-2222-2-20000000000000000000000
χ3422-2-222-2-2-2-2-2-22222-222-2-22-2-2220000-22002-2-2-2220000000000000000000000
χ3522-2-222-2-2-2-2-2-22222-2-2-222222-2-200002-200-22-2-2220000000000000000000000
χ3622-2-222-2-2-2-2-2-22222-2-2-2222-2-22200002-2002-222-2-20000000000000000000000
χ3744444444-4-4-4-4-4-4-4-44000040000000000000000000000000000000000000000
χ38444-4-4-44-44-40004-400000000000000000000000000000000000000000002i2−2i200
χ39444-4-4-44-44-40004-40000000000000000000000000000000000000000000−2i22i200
χ40444-4-4-44-4-44000-4400000000000004i−4i00000000000000000000000000000000
χ41444-4-4-44-4-44000-440000000000000−4i4i00000000000000000000000000000000
χ4244-44-4-4-444-4000-44000000000004i−4i0000000000000000000000000000000000
χ4344-44-4-4-444-4000-4400000000000−4i4i0000000000000000000000000000000000
χ4444-44-4-4-44-440004-4000000000000000000000000000000000000000002i2−2i20000
χ4544-44-4-4-44-440004-400000000000000000000000000000000000000000−2i22i20000
χ4644-4-444-4-44444-4-4-4-4-4000040000000000000000000000000000000000000000
χ474-4444-4-4-40000000000000022−2222−220000002i2−2i2000000002i−2i2i−2i0000000000000000
χ484-4444-4-4-40000000000000022−2222−22000000−2i22i200000000−2i2i−2i2i0000000000000000
χ494-4444-4-4-400000000000000−2222−22220000002i2−2i200000000−2i2i−2i2i0000000000000000
χ504-4444-4-4-400000000000000−2222−2222000000−2i22i2000000002i−2i2i−2i0000000000000000
χ514-44-4-44-44004-4400-4000000000000000000002i2−2i22i2−2i20000000000000000000000
χ524-44-4-44-44004-4400-400000000000000000000−2i22i2−2i22i20000000000000000000000
χ534-44-4-44-4400-44-400404-44-400000000000000000000000000000000000000000
χ544-44-4-44-4400-44-40040-44-4400000000000000000000000000000000000000000
χ554-4-44-444-4004-4-400404-4-4400000000000000000000000000000000000000000
χ564-4-44-444-4004-4-40040-444-400000000000000000000000000000000000000000
χ574-4-44-444-400-44400-4000000000000000000002i2−2i2−2i22i20000000000000000000000
χ584-4-44-444-400-44400-400000000000000000000−2i22i22i2−2i20000000000000000000000
χ594-4-4-44-4440000000000000022−22−22220000000000000022−222-2-220000000000000000
χ604-4-4-44-4440000000000000022−22−222200000000000000−2222-222-20000000000000000
χ614-4-4-44-44400000000000000−222222−220000000000000022−22-222-20000000000000000
χ624-4-4-44-44400000000000000−222222−2200000000000000−22222-2-220000000000000000

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