Finite Group Databasebeta

← Group #349355

Character table — Group #349355

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222444444448888888888888888888888888816161616161616161616161616161616
order12222222222244444444224444444444444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-11111-1-1-1-1-1-1-1-1111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ411111111111111111111111-1-11111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ511111111111111111111-1-1111-1-1-1-111-1-111-1-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ611111111111111111111-1-1111-1-1-1-111-1-111-1-11-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ711111111111111111111-1-11-1-1-1-1-1-1-1-111-1-1111-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ811111111111111111111-1-11-1-1-1-1-1-1-1-111-1-1111-1-1-1-11111-1-1-1-1-1-1-1-111111111
χ9111111111111-1-111-1-11111-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1
χ10111111111111-1-111-1-11111-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111
χ11111111111111-1-111-1-11111-1-1-111-1-111-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111
χ12111111111111-1-111-1-11111-1-1-111-1-111-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11111-1-1
χ13111111111111-1-111-1-111-1-1-111-1-111-1-1-1-111-1-1-111-1-1111111-1-1-1-111-1-11111-1-1
χ14111111111111-1-111-1-111-1-1-111-1-111-1-1-1-111-1-1-111-1-11111-1-11111-1-111-1-1-1-111
χ15111111111111-1-111-1-111-1-1-1-1-1-1-1111111-1-111-11111-1-1-1-111-1-111-1-1-1-111-1-111
χ16111111111111-1-111-1-111-1-1-1-1-1-1-1111111-1-111-11111-1-1-1-1-1-111-1-11111-1-111-1-1
χ1722222222222222-2-2-2-2-2-2002000000002200-2-2-2000022-2-20000000000000000
χ1822222222222222-2-2-2-2-2-200200000000-2-20022-20000-2-2220000000000000000
χ19222222222222-2-2-2-222-2-200-2000000002200-2-220000-2-2220000000000000000
χ20222222222222-2-2-2-222-2-200-200000000-2-200222000022-2-20000000000000000
χ2122222222-2-2-2-2222-2222-200-22200002200-2-200-200-2-200000000000000000000
χ2222222222-2-2-2-2222-2222-200-2-2-20000-2-2002200-2002200000000000000000000
χ2322222222-2-2-2-222-22-2-2-2222-200-2-222000000002-2-20000000000000000000000
χ2422222222-2-2-2-222-22-2-2-22-2-2-20022-2-2000000002220000000000000000000000
χ2522222222-2-2-2-2-2-22-2-2-22-2002220000-2-200-2-2002002200000000000000000000
χ2622222222-2-2-2-2-2-22-2-2-22-2002-2-2000022002200200-2-200000000000000000000
χ2722222222-2-2-2-2-2-2-2222-2222200-2-2-2-200000000-2220000000000000000000000
χ2822222222-2-2-2-2-2-2-2222-22-2-2200222200000000-2-2-20000000000000000000000
χ2922-22-22-2-222-2-2002200-2-22-202-22-200002-22-22-20000000000000000000000000
χ3022-22-22-2-222-2-2002200-2-22-20-222-20000-22-22-220000000000000000000000000
χ3122-22-22-2-222-2-2002200-2-2-2202-2-220000-222-2-220000000000000000000000000
χ3222-22-22-2-222-2-2002200-2-2-220-22-2200002-2-222-20000000000000000000000000
χ3322-22-22-2-222-2-200-2-2002200000002i−2i2i−2i2-200-2202i−2i2i−2i00000000000000000000
χ3422-22-22-2-222-2-200-2-2002200000002i−2i−2i2i-22002-202i−2i−2i2i00000000000000000000
χ3522-22-22-2-222-2-200-2-200220000000−2i2i2i−2i-22002-20−2i2i2i−2i00000000000000000000
χ3622-22-22-2-222-2-200-2-200220000000−2i2i−2i2i2-200-220−2i2i−2i2i00000000000000000000
χ3722-22-22-2-2-2-222002-200-220002-2002i−2i0000-22000−2i2i002i−2i2i−2i0000000000000000
χ3822-22-22-2-2-2-222002-200-220002-200−2i2i0000-220002i−2i00−2i2i−2i2i0000000000000000
χ3922-22-22-2-2-2-222002-200-22000-22002i−2i00002-2000−2i2i00−2i2i−2i2i0000000000000000
χ4022-22-22-2-2-2-222002-200-22000-2200−2i2i00002-20002i−2i002i−2i2i−2i0000000000000000
χ4122-22-22-2-2-2-22200-22002-22-2000-22002i−2i000000000−2i2i2i−2i−2i2i0000000000000000
χ4222-22-22-2-2-2-22200-22002-22-2000-2200−2i2i0000000002i−2i−2i2i2i−2i0000000000000000
χ4322-22-22-2-2-2-22200-22002-2-220002-2002i−2i000000000−2i2i−2i2i2i−2i0000000000000000
χ4422-22-22-2-2-2-22200-22002-2-220002-200−2i2i0000000002i−2i2i−2i−2i2i0000000000000000
χ45444-44-4-4-400004-40000000000000000000000000000000000002-22-200000000
χ46444-44-4-4-400004-4000000000000000000000000000000000000-22-2200000000
χ47444-44-4-4-40000-440000000000000000000000000000000000002-2-2200000000
χ48444-44-4-4-40000-44000000000000000000000000000000000000-222-200000000
χ494-444-4-4-444-44-40000000000000000000000000000000000000000000000002i2−2i2
χ504-444-4-4-444-44-4000000000000000000000000000000000000000000000000−2i22i2
χ514-444-4-4-44-44-4400000000000000000000000000000000000000000000002i2−2i200
χ524-444-4-4-44-44-440000000000000000000000000000000000000000000000−2i22i200
χ534-44-4-444-4000000004-400000000000000000000000000002i−2i2i−2i000000000000
χ544-44-4-444-4000000004-40000000000000000000000000000−2i2i−2i2i000000000000
χ554-44-4-444-400000000-4400000000000000000000000000002i−2i−2i2i000000000000
χ564-44-4-444-400000000-440000000000000000000000000000−2i2i2i−2i000000000000
χ574-4-444-44-44-4-44000000000000000000000000000000000000000000002i2−2i20000
χ584-4-444-44-44-4-4400000000000000000000000000000000000000000000−2i22i20000
χ594-4-444-44-4-444-40000000000000000000000000000000000000000002i2−2i2000000
χ604-4-444-44-4-444-4000000000000000000000000000000000000000000−2i22i2000000
χ6188-8-8-8-888000000000000000000000000000000000000000000000000000000
χ628-8-8-888-88000000000000000000000000000000000000000000000000000000

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