Finite Group Databasebeta

← Group #349630

Character table — Group #349630

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size111111112222222244448888888888888888888888888888888888816161616161616163232
order12222222444444444444222244444444444444444444444888888888888888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-111111111-1-1-1-11111-1-1
χ41111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ511111111111111111111-1-111-1-111-1-11111-1-1-1-1-1-1-1-11-1-111111111111111-1-1-1-1-1-1
χ611111111111111111111-1-111-1-111-1-11111-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ711111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1111111111-1-1-1-111111111-1-1-1-1-1-1-1-111
χ811111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ911111111111111111-1-11111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-11-1
χ1011111111111111111-1-11111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-11
χ1111111111111111111-1-1111-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1111111-1-1-1-1-1-11111-1-1-11
χ1211111111111111111-1-1111-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-111-1-1-1-1111111-1-1-1-1111-1
χ1311111111111111111-1-11-1-111-1-1-1-11111-1-1-1-1-1-11111-111-1-11111-1-1-1-111-1-1-1-111-11
χ1411111111111111111-1-11-1-111-1-1-1-11111-1-1-1-1-1-11111-111-1-1-1-1-1-11111-1-11111-1-11-1
χ1511111111111111111-1-11-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-111111111-1-1-1-1-1-111-1-1111-1
χ1611111111111111111-1-11-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-11
χ1722222222222-2-2-2-22-222-20022002-200-2-2-2-200000000-20022000000000000000000
χ1822222222222-2-2-2-22-222-200-2-2002-200222200000000-200-2-2000000000000000000
χ1922222222222-2-2-2-22-2-2-2-2002200-2200-2-22200000000200-2-2000000000000000000
χ2022222222222-2-2-2-22-2-2-2-200-2-200-220022-2-20000000020022000000000000000000
χ2122222222-2-2-22222-2-222-22200-2-2-22-2-2000000000000-22200000000000000000000
χ2222222222-2-2-22222-2-222-2-2-20022-2222000000000000-2-2-200000000000000000000
χ2322222222-2-2-22222-2-2-2-2-22200-2-22-2220000000000002-2-200000000000000000000
χ2422222222-2-2-22222-2-2-2-2-2-2-200222-2-2-200000000000022200000000000000000000
χ2522222222-2-2-2-2-2-2-2-22222000000-2-200000022-2-222-2-220000000000000000000000
χ2622222222-2-2-2-2-2-2-2-22222000000-2-2000000-2-222-2-22220000000000000000000000
χ2722222222-2-2-2-2-2-2-2-22-2-220000002200000022-2-2-2-222-20000000000000000000000
χ2822222222-2-2-2-2-2-2-2-22-2-2200000022000000-2-22222-2-2-20000000000000000000000
χ2922-222-2-2-222-222-2-2-2200-22-22-22-200002-2002-22-2000000000000000000000000000
χ3022-222-2-2-222-222-2-2-2200-22-2-222-20000-2200-22-22000000000000000000000000000
χ3122-222-2-2-222-222-2-2-2200-2-222-2-2200002-200-22-22000000000000000000000000000
χ3222-222-2-2-222-222-2-2-2200-2-22-22-220000-22002-22-2000000000000000000000000000
χ3322-222-2-2-222-2-2-222-2-2002002-200002i−2i-220000002i−2i2i−2i02i−2i00000000000000000000
χ3422-222-2-2-222-2-2-222-2-2002002-20000−2i2i-22000000−2i2i−2i2i0−2i2i00000000000000000000
χ3522-222-2-2-222-2-2-222-2-200200-2200002i−2i2-2000000−2i2i−2i2i02i−2i00000000000000000000
χ3622-222-2-2-222-2-2-222-2-200200-220000−2i2i2-20000002i−2i2i−2i0−2i2i00000000000000000000
χ3722-222-2-2-2-2-2222-2-22-20022-200-220000002i−2i00002i−2i−2i2i0002i−2i000000000000000000
χ3822-222-2-2-2-2-2222-2-22-20022-200-22000000−2i2i0000−2i2i2i−2i000−2i2i000000000000000000
χ3922-222-2-2-2-2-2222-2-22-2002-22002-20000002i−2i0000−2i2i2i−2i0002i−2i000000000000000000
χ4022-222-2-2-2-2-2222-2-22-2002-22002-2000000−2i2i00002i−2i−2i2i000−2i2i000000000000000000
χ4122-222-2-2-2-2-22-2-2222200-2000000002i−2i002i−2i2-2-2200000−2i2i−2i2i000000000000000000
χ4222-222-2-2-2-2-22-2-2222200-2000000002i−2i00−2i2i-222-200000−2i2i2i−2i000000000000000000
χ4322-222-2-2-2-2-22-2-2222200-200000000−2i2i002i−2i-222-2000002i−2i−2i2i000000000000000000
χ4422-222-2-2-2-2-22-2-2222200-200000000−2i2i00−2i2i2-2-22000002i−2i2i−2i000000000000000000
χ4544-4-4-444-40000000004i−4i00000000000000000000000000002i2i−2i−2i22-2-20000000000
χ4644-4-4-444-40000000004i−4i0000000000000000000000000000−2i−2i2i2i-2-2220000000000
χ4744-4-4-444-4000000000−4i4i00000000000000000000000000002i2i−2i−2i-2-2220000000000
χ4844-4-4-444-4000000000−4i4i0000000000000000000000000000−2i−2i2i2i22-2-20000000000
χ494-444-44-4-44-440000-400000000000000000000000000000000000000022−2200000000
χ504-444-44-4-44-440000-4000000000000000000000000000000000000000−222200000000
χ514-444-44-4-4-44-400004000000000000000000000000000000000000000002i2−2i2000000
χ524-444-44-4-4-44-40000400000000000000000000000000000000000000000−2i22i2000000
χ534-44-44-44-40004-44-40000000000000000000000000000000000002i2−2i22i2−2i20000000000
χ544-44-44-44-40004-44-4000000000000000000000000000000000000−2i22i2−2i22i20000000000
χ554-44-44-44-4000-44-44000000000000000000000000000000002i2−2i22i2−2i200000000000000
χ564-44-44-44-4000-44-4400000000000000000000000000000000−2i22i2−2i22i200000000000000
χ574-4-44-4-4444-4-400004000000000000000000000000000000022−22−222200000000000000
χ584-4-44-4-4444-4-4000040000000000000000000000000000000−222222−2200000000000000
χ594-4-44-4-444-4440000-4000000000000000000000000000000000002i2−2i2−2i22i20000000000
χ604-4-44-4-444-4440000-400000000000000000000000000000000000−2i22i22i2−2i20000000000
χ614-4-4-444-440004-4-44000000000000000000000000000000000000000000000022−2200
χ624-4-4-444-440004-4-440000000000000000000000000000000000000000000000−222200
χ634-4-4-444-44000-444-40000000000000000000000000000000000000000000022−220000
χ644-4-4-444-44000-444-400000000000000000000000000000000000000000000−22220000
χ65888-8-8-8-88000000000000000000000000000000000000000000000000000000000

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