Finite Group Databasebeta

← Group #348785

Character table — Group #348785

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size111111112222222244448888888888888888888888888888888888816161616161616163232
order12222222444444444444224444444444444444444444444888888888888888822
χ111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1
χ411111111111111111111111-1-111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111-1-11111-1-1-1-111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ611111111111111111111-1-11111-1-1-1-111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ711111111111111111111-1-11-1-11-1-1-1-1-1-1-1-11-1-1-1-11111111111111111-1-1-1-1-1-1-1-111
χ811111111111111111111-1-11-1-11-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1
χ91111111111111111-1-11111-111-111-1-111-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11-1
χ101111111111111111-1-11111-111-111-1-111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-11
χ111111111111111111-1-11111-1-1-1-111-1-1-1-111-1-1-111-1-1-1-111111111-1-1-1-111-1-1-1-111-11
χ121111111111111111-1-11111-1-1-1-111-1-1-1-111-1-1-111-1-1-1-11111-1-1-1-11111-1-11111-1-11-1
χ131111111111111111-1-111-1-1-111-1-1-11111-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-11
χ141111111111111111-1-111-1-1-111-1-1-11111-1-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1111-1
χ151111111111111111-1-111-1-1-1-1-1-1-1-111-1-111-111111111-1-1-1-11111-1-1-1-1-1-111-1-1111-1
χ161111111111111111-1-111-1-1-1-1-1-1-1-111-1-111-111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-11
χ172222222222-2-222-2-222-2-222-2002-2-2-2-20000-2220000000000000000000000000000
χ182222222222-2-222-2-222-2-2-2-2-200222220000-2-2-20000000000000000000000000000
χ192222222222-2-222-2-2-2-2-2-222200-2-2-22200002-2-20000000000000000000000000000
χ202222222222-2-222-2-2-2-2-2-2-2-2200-222-2-200002220000000000000000000000000000
χ2122222222-2-222-2-22222-2-200222-20000-2-2-2-2-2002200000000000000000000000000
χ2222222222-2-222-2-22222-2-2002-2-2-200002222-200-2-200000000000000000000000000
χ2322222222-2-222-2-222-2-2-2-200-22220000-2-222200-2-200000000000000000000000000
χ2422222222-2-222-2-222-2-2-2-200-2-2-22000022-2-22002200000000000000000000000000
χ2522222222-2-2-2-2-2-2-2-2222200-200-2000000002000022-2-222-2-2000000000000000000
χ2622222222-2-2-2-2-2-2-2-2222200-200-20000000020000-2-222-2-222000000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-22200200200000000-2000022-2-2-2-222000000000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-22200200200000000-20000-2-22222-2-2000000000000000000
χ2922-2-22-22-22222-2-2-2-200-220002i−2i0002i−2i2i−2i0002i−2i0000002-22-2000000000000000000
χ3022-2-22-22-22222-2-2-2-200-220002i−2i000−2i2i2i−2i000−2i2i000000-22-22000000000000000000
χ3122-2-22-22-22222-2-2-2-200-22000−2i2i0002i−2i−2i2i0002i−2i000000-22-22000000000000000000
χ3222-2-22-22-22222-2-2-2-200-22000−2i2i000−2i2i−2i2i000−2i2i0000002-22-2000000000000000000
χ3322-2-22-22-222-2-2-2-222002-2000000002i−2i002-20−2i2i2-22i−2i2i−2i0000000000000000000000
χ3422-2-22-22-222-2-2-2-222002-2000000002i−2i00-220−2i2i-22−2i2i−2i2i0000000000000000000000
χ3522-2-22-22-222-2-2-2-222002-200000000−2i2i002-202i−2i2-2−2i2i−2i2i0000000000000000000000
χ3622-2-22-22-222-2-2-2-222002-200000000−2i2i00-2202i−2i-222i−2i2i−2i0000000000000000000000
χ3722-2-22-22-2-2-22222-2-2002-22-202i−2i02-200−2i2i00000002i−2i−2i2i0000000000000000000000
χ3822-2-22-22-2-2-22222-2-2002-22-20−2i2i02-2002i−2i0000000−2i2i2i−2i0000000000000000000000
χ3922-2-22-22-2-2-22222-2-2002-2-2202i−2i0-2200−2i2i0000000−2i2i2i−2i0000000000000000000000
χ4022-2-22-22-2-2-22222-2-2002-2-220−2i2i0-22002i−2i00000002i−2i−2i2i0000000000000000000000
χ4122-2-22-22-2-2-2-2-2222200-222-20000-2200002-2000-2200002-2-22000000000000000000
χ4222-2-22-22-2-2-2-2-2222200-222-20000-220000-220002-20000-222-2000000000000000000
χ4322-2-22-22-2-2-2-2-2222200-22-2200002-200002-2000-220000-222-2000000000000000000
χ4422-2-22-22-2-2-2-2-2222200-22-2200002-20000-220002-200002-2-22000000000000000000
χ45444-4-4-4-444-4004-400000000000000000000000000000000000000000002i2−2i2000000
χ46444-4-4-4-444-4004-40000000000000000000000000000000000000000000−2i22i2000000
χ47444-4-4-4-44-4400-44000000000000000000000000000000000000000002i2−2i200000000
χ48444-4-4-4-44-4400-4400000000000000000000000000000000000000000−2i22i200000000
χ4944-44-44-4-44-400-440000000000000000000000000000000002i22i2−2i2−2i200000000000000
χ5044-44-44-4-44-400-44000000000000000000000000000000000−2i2−2i22i22i200000000000000
χ5144-44-44-4-4-44004-400000000000000000000000000000000000002i22i2−2i2−2i20000000000
χ5244-44-44-4-4-44004-40000000000000000000000000000000000000−2i2−2i22i22i20000000000
χ534-4444-4-4-4004-4004-4000000000000000000000000000000000002i2−2i22i2−2i20000000000
χ544-4444-4-4-4004-4004-400000000000000000000000000000000000−2i22i2−2i22i20000000000
χ554-4444-4-4-400-4400-4400000000000000000000000000000002i2−2i22i2−2i200000000000000
χ564-4444-4-4-400-4400-440000000000000000000000000000000−2i22i2−2i22i200000000000000
χ574-4-44-4-444000000004-4000000000000000000000000000002-2-222-2-220000000000
χ584-4-44-4-444000000004-400000000000000000000000000000-222-2-222-20000000000
χ594-4-44-4-44400000000-44000000000000000000000000000002-2-22-222-20000000000
χ604-4-44-4-44400000000-4400000000000000000000000000000-222-22-2-220000000000
χ614-4-4-444-44004-400-4400000000000000000000000000000000000000000000022−2200
χ624-4-4-444-44004-400-44000000000000000000000000000000000000000000000−222200
χ634-4-4-444-4400-44004-4000000000000000000000000000000000000000000022−220000
χ644-4-4-444-4400-44004-40000000000000000000000000000000000000000000−22220000
χ658-88-8-888-8000000000000000000000000000000000000000000000000000000000

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