Finite Group Databasebeta

← Group #349361

Character table — Group #349361

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222444444448888888888888888888888888816161616161616161616161616161616
order12222222222244444444222244444444444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1111-1-111-1-1-1-1111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111-1-1111-1-111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111-1-1111-1-111-1-1-1-1-1-11-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1
χ611111111111111111111-1-1111-1-111-1-1-1-1-1-11-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111
χ711111111111111111111-1-1-1-11-1-1-1-1-1-111111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111
χ811111111111111111111-1-1-1-11-1-1-1-1-1-111111-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1
χ9111111111111-1-111-1-1111111-1-1-111111111-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1
χ10111111111111-1-111-1-1111111-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111
χ11111111111111-1-111-1-11111-1-1-1-1-1-1-111-1-1-1-1-1-1-11111111111-1-111-1-1-1-111-1-111
χ12111111111111-1-111-1-11111-1-1-1-1-1-1-111-1-1-1-1-1-1-111111111-1-111-1-11111-1-111-1-1
χ13111111111111-1-111-1-111-1-111-11111-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111
χ14111111111111-1-111-1-111-1-111-11111-1-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1
χ15111111111111-1-111-1-111-1-1-1-1-111-1-1-1-11111-11111-1-111-1-111-1-1-1-111-1-11111-1-1
χ16111111111111-1-111-1-111-1-1-1-1-111-1-1-1-11111-11111-1-111-1-1-1-11111-1-111-1-1-1-111
χ1722222222222222-2-2-2-2-2-222002-2-200-2-20000-222000000000000000000000000
χ1822222222222222-2-2-2-2-2-2-2-20022200220000-2-2-2000000000000000000000000
χ19222222222222-2-2-2-222-2-22200-22200-2-200002-2-2000000000000000000000000
χ20222222222222-2-2-2-222-2-2-2-200-2-2-200220000222000000000000000000000000
χ2122222222-2-2-2-2222-2222-20022-200-2-2000000-2002200-2-2000000000000000000
χ2222222222-2-2-2-2222-2222-200-2-2-20022000000-200-2-20022000000000000000000
χ2322222222-2-2-2-222-22-2-2-220000-200000022-2-2200002200-2-20000000000000000
χ2422222222-2-2-2-222-22-2-2-220000-2000000-2-22220000-2-200220000000000000000
χ2522222222-2-2-2-2-2-22-2-2-22-20022200-2-2000000200-2-20022000000000000000000
χ2622222222-2-2-2-2-2-22-2-2-22-200-2-2200220000002002200-2-2000000000000000000
χ2722222222-2-2-2-2-2-2-2222-220000200000022-2-2-20000-2-200220000000000000000
χ2822222222-2-2-2-2-2-2-2222-2200002000000-2-222-200002200-2-20000000000000000
χ2922-2-222-2-222-2-2002200-2-22-22-20002-22-22-22-2000000000000000000000000000
χ3022-2-222-2-222-2-2002200-2-22-2-22000-222-2-22-22000000000000000000000000000
χ3122-2-222-2-222-2-2002200-2-2-222-20002-2-22-22-22000000000000000000000000000
χ3222-2-222-2-222-2-2002200-2-2-22-22000-22-222-22-2000000000000000000000000000
χ3322-2-222-2-222-2-200-2-200222-20000000-2200000002i−2i2i−2i2i−2i2i−2i0000000000000000
χ3422-2-222-2-222-2-200-2-200222-20000000-220000000−2i2i−2i2i−2i2i−2i2i0000000000000000
χ3522-2-222-2-222-2-200-2-20022-2200000002-200000002i−2i−2i2i2i−2i−2i2i0000000000000000
χ3622-2-222-2-222-2-200-2-20022-2200000002-20000000−2i2i2i−2i−2i2i2i−2i0000000000000000
χ3722-2-222-2-2-2-222002-200-22002-202i−2i-2200000002i−2i002i−2i00−2i2i0000000000000000
χ3822-2-222-2-2-2-222002-200-22002-20−2i2i-220000000−2i2i00−2i2i002i−2i0000000000000000
χ3922-2-222-2-2-2-222002-200-2200-2202i−2i2-200000002i−2i00−2i2i002i−2i0000000000000000
χ4022-2-222-2-2-2-222002-200-2200-220−2i2i2-20000000−2i2i002i−2i00−2i2i0000000000000000
χ4122-2-222-2-2-2-22200-22002-2000002i−2i00002-2-220−2i2i−2i2i002i−2i000000000000000000
χ4222-2-222-2-2-2-22200-22002-2000002i−2i0000-222-20−2i2i2i−2i00−2i2i000000000000000000
χ4322-2-222-2-2-2-22200-22002-200000−2i2i00002-2-2202i−2i2i−2i00−2i2i000000000000000000
χ4422-2-222-2-2-2-22200-22002-200000−2i2i0000-222-202i−2i−2i2i002i−2i000000000000000000
χ454444-4-4-4-44-44-4000000000000000000000000000000000000000000000022−2200
χ464444-4-4-4-44-44-40000000000000000000000000000000000000000000000−222200
χ474444-4-4-4-4-44-4400000000000000000000000000000000000000000000000022−22
χ484444-4-4-4-4-44-44000000000000000000000000000000000000000000000000−2222
χ4944-4-4-4-4444-4-4400000000000000000000000000000000000000000022−22000000
χ5044-4-4-4-4444-4-44000000000000000000000000000000000000000000−2222000000
χ5144-4-4-4-444-444-40000000000000000000000000000000000000000000022−220000
χ5244-4-4-4-444-444-400000000000000000000000000000000000000000000−22220000
χ534-44-44-44-4000000004-4000000000000000000000000000000002i−2i2i−2i00000000
χ544-44-44-44-4000000004-400000000000000000000000000000000−2i2i−2i2i00000000
χ554-44-44-44-400000000-44000000000000000000000000000000002i−2i−2i2i00000000
χ564-44-44-44-400000000-4400000000000000000000000000000000−2i2i2i−2i00000000
χ574-4-44-444-400004-4000000000000000000000000000000002i−2i2i−2i000000000000
χ584-4-44-444-400004-400000000000000000000000000000000−2i2i−2i2i000000000000
χ594-4-44-444-40000-44000000000000000000000000000000002i−2i−2i2i000000000000
χ604-4-44-444-40000-4400000000000000000000000000000000−2i2i2i−2i000000000000
χ618-88-8-88-88000000000000000000000000000000000000000000000000000000
χ628-8-888-8-88000000000000000000000000000000000000000000000000000000

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