Finite Group Databasebeta

← Group #349388

Character table — Group #349388

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222444444448888888888888888888888888816161616161616161616161616161616
order12222222222244444444222244444444444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1111-1-1-1-111-1-1-1-1-1-1-1-1111-1-11111-1-1-1-11111-1-1-1-1
χ41111111111111111111111-1-1111-1-1-1-111-1-1-1-1-1-1-1-1111-1-1-1-1-1-11111-1-1-1-11111
χ511111111111111111111-1-111-1-1111-1-1-1-111-1-111-1-11-1-1-1-11111-1-1-1-1-1-1-1-11111
χ611111111111111111111-1-111-1-1111-1-1-1-111-1-111-1-11-1-1-1-1-1-1-1-111111111-1-1-1-1
χ711111111111111111111-1-1-1-1-1-11-1-111-1-1-1-111-1-1111-1-11111111111-1-1-1-1-1-1-1-1
χ811111111111111111111-1-1-1-1-1-11-1-111-1-1-1-111-1-1111-1-111-1-1-1-1-1-1-1-111111111
χ911111111111111-1-1-1-1111111-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1
χ1011111111111111-1-1-1-1111111-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111
χ1111111111111111-1-1-1-11111-1-1-1-1-111-1-111-1-1-1-11111-1-1-11111-1-1-1-11111-1-1-1-111
χ1211111111111111-1-1-1-11111-1-1-1-1-111-1-111-1-1-1-11111-1-1-111-1-11111-1-1-1-11111-1-1
χ1311111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-111-1-1-1-111-1111111-1-1-1-111-1-11111-1-1
χ1411111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-111-1-1-1-111-11111-1-11111-1-111-1-1-1-111
χ1511111111111111-1-1-1-111-1-1-1-111-11111-1-1-1-11111-1-1-111-1-111-1-111-1-1-1-111-1-111
χ1611111111111111-1-1-1-111-1-1-1-111-11111-1-1-1-11111-1-1-111-1-1-1-111-1-11111-1-111-1-1
χ17222222222222-2-222-2-2-2-2000000200220000-2-20022-200-2-20000000000000000
χ18222222222222-2-222-2-2-2-2000000200-2-200002200-2-2-200220000000000000000
χ19222222222222-2-2-2-222-2-2000000-200220000-2-200-2-2200220000000000000000
χ20222222222222-2-2-2-222-2-2000000-200-2-20000220022200-2-20000000000000000
χ2122222222-2-2-2-22-222222-2002200-2220000-2-200-2-200-200000000000000000000
χ2222222222-2-2-2-22-222222-200-2-200-2-2-2000022002200-200000000000000000000
χ2322222222-2-2-2-22-2-2-2-2-22-20022002-2-20000-2-2002200200000000000000000000
χ2422222222-2-2-2-22-2-2-2-2-22-200-2-20022200002200-2-200200000000000000000000
χ2522222222-2-2-2-2-2222-2-2-22220022-20000-2-2000000002-2-2000000000000000000
χ2622222222-2-2-2-2-2222-2-2-22-2-200-2-2-200002200000000222000000000000000000
χ2722222222-2-2-2-2-22-2-222-222200-2-220000-2-200000000-222000000000000000000
χ2822222222-2-2-2-2-22-2-222-22-2-20022200002200000000-2-2-2000000000000000000
χ2922-22-22-2-222-2-2220000-2-22-22-2000002-22-22-22-20000000000000000000000000
χ3022-22-22-2-222-2-2220000-2-22-2-2200000-222-2-22-220000000000000000000000000
χ3122-22-22-2-222-2-2220000-2-2-222-200000-22-222-2-220000000000000000000000000
χ3222-22-22-2-222-2-2220000-2-2-22-22000002-2-22-222-20000000000000000000000000
χ3322-22-22-2-222-2-2-2-200002200002i−2i02i−2i2-20000-222i−2i0002i−2i000000000000000000
χ3422-22-22-2-222-2-2-2-200002200002i−2i0−2i2i-2200002-2−2i2i0002i−2i000000000000000000
χ3522-22-22-2-222-2-2-2-20000220000−2i2i02i−2i-2200002-22i−2i000−2i2i000000000000000000
χ3622-22-22-2-222-2-2-2-20000220000−2i2i0−2i2i2-20000-22−2i2i000−2i2i000000000000000000
χ3722-22-22-2-2-2-2222-20000-22002-22i−2i0000000-2200002i−2i0−2i2i2i−2i0000000000000000
χ3822-22-22-2-2-2-2222-20000-22002-2−2i2i0000000-220000−2i2i02i−2i−2i2i0000000000000000
χ3922-22-22-2-2-2-2222-20000-2200-222i−2i00000002-20000−2i2i0−2i2i−2i2i0000000000000000
χ4022-22-22-2-2-2-2222-20000-2200-22−2i2i00000002-200002i−2i02i−2i2i−2i0000000000000000
χ4122-22-22-2-2-2-222-2200002-22-2000002i−2i00-220000−2i2i2i−2i000−2i2i0000000000000000
χ4222-22-22-2-2-2-222-2200002-22-200000−2i2i00-2200002i−2i−2i2i0002i−2i0000000000000000
χ4322-22-22-2-2-2-222-2200002-2-22000002i−2i002-20000−2i2i−2i2i0002i−2i0000000000000000
χ4422-22-22-2-2-2-222-2200002-2-2200000−2i2i002-200002i−2i2i−2i000−2i2i0000000000000000
χ45444-44-4-4-40000004-400000000000000000000000000000000002-22-200000000
χ46444-44-4-4-40000004-40000000000000000000000000000000000-22-2200000000
χ47444-44-4-4-4000000-4400000000000000000000000000000000002-2-2200000000
χ48444-44-4-4-4000000-440000000000000000000000000000000000-222-200000000
χ494-444-4-44-4000000004i−4i00000000000000000000000000002-22i−2i000000000000
χ504-444-4-44-4000000004i−4i0000000000000000000000000000-22−2i2i000000000000
χ514-444-4-44-400000000−4i4i00000000000000000000000000002-2−2i2i000000000000
χ524-444-4-44-400000000−4i4i0000000000000000000000000000-222i−2i000000000000
χ534-44-4-44-444-44-400000000000000000000000000000000000000000000002i2−2i200
χ544-44-4-44-444-44-40000000000000000000000000000000000000000000000−2i22i200
χ554-44-4-44-44-44-4400000000000000000000000000000000000000000000000022−22
χ564-44-4-44-44-44-44000000000000000000000000000000000000000000000000−2222
χ574-4-4-4444-44-4-4400000000000000000000000000000000000000000022−22000000
χ584-4-4-4444-44-4-44000000000000000000000000000000000000000000−2222000000
χ594-4-4-4444-4-444-4000000000000000000000000000000000000000000002i2−2i20000
χ604-4-4-4444-4-444-400000000000000000000000000000000000000000000−2i22i20000
χ6188-8-8-8-888000000000000000000000000000000000000000000000000000000
χ628-8-888-8-88000000000000000000000000000000000000000000000000000000

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