Finite Group Databasebeta

← Group #349384

Character table — Group #349384

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222444444448888888888888888888888888816161616161616161616161616161616
order12222222222244444444444444444444444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-111-1-1111-1-1111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ41111111111111111111111-1-111-1-1111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ511111111111111111111-1-111-1-1-1-11-1-1111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ611111111111111111111-1-111-1-1-1-11-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ711111111111111111111-1-1-1-1-1-1111-1-1-1-11-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111
χ811111111111111111111-1-1-1-1-1-1111-1-1-1-11-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1
χ9111111111111-1-111-1-1111111-1-1-1-1-111-1-1-1-1-111-1-11111-1-111-1-111-1-111-1-111-1-1
χ10111111111111-1-111-1-1111111-1-1-1-1-111-1-1-1-1-111-1-11111-1-1-1-111-1-111-1-111-1-111
χ11111111111111-1-111-1-11111-1-1-1-111-11111-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111
χ12111111111111-1-111-1-11111-1-1-1-111-11111-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1
χ13111111111111-1-111-1-111-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-111-1-111
χ14111111111111-1-111-1-111-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-11111-1-111-1-1
χ15111111111111-1-111-1-111-1-1-1-111-1-1-1-1-111-111-1-1111111-1-111-1-1-1-111-1-11111-1-1
χ16111111111111-1-111-1-111-1-1-1-111-1-1-1-1-111-111-1-1111111-1-1-1-11111-1-111-1-1-1-111
χ1722222222222222-2-2-2-2-2-200220000200-2-2-200-2-2220000000000000000000000
χ1822222222222222-2-2-2-2-2-200-2-2000020022-20022-2-20000000000000000000000
χ19222222222222-2-2-2-222-2-200220000-20022200-2-2-2-20000000000000000000000
χ20222222222222-2-2-2-222-2-200-2-20000-200-2-220022220000000000000000000000
χ2122222222-2-2-2-2222-2222-222002200-2-2-200-2-2-200000000000000000000000000
χ2222222222-2-2-2-2222-2222-2-2-200-2-200-22200-22200000000000000000000000000
χ2322222222-2-2-2-222-22-2-2-2200000022-20000200000022-2-2-2-20000000000000000
χ2422222222-2-2-2-222-22-2-2-22000000-2-2-200002000000-2-222220000000000000000
χ2522222222-2-2-2-2-2-22-2-2-22-22200-2-2002-2-20022200000000000000000000000000
χ2622222222-2-2-2-2-2-22-2-2-22-2-2-2002200222002-2-200000000000000000000000000
χ2722222222-2-2-2-2-2-2-2222-220000002220000-2000000-2-222-2-20000000000000000
χ2822222222-2-2-2-2-2-2-2222-22000000-2-220000-200000022-2-2220000000000000000
χ2922-22-22-2-222-2-2002200-2-2002-22-22-20000002-22-20000002-20000000000000000
χ3022-22-22-2-222-2-2002200-2-2002-2-22-22000000-222-2000000-220000000000000000
χ3122-22-22-2-222-2-2002200-2-200-222-2-220000002-2-22000000-220000000000000000
χ3222-22-22-2-222-2-2002200-2-200-22-222-2000000-22-220000002-20000000000000000
χ3322-22-22-2-222-2-200-2-200222i−2i2-2000002i−2i00000-22002i−2i2i−2i000000000000000000
χ3422-22-22-2-222-2-200-2-200222i−2i-22000002i−2i000002-200−2i2i−2i2i000000000000000000
χ3522-22-22-2-222-2-200-2-20022−2i2i2-200000−2i2i00000-2200−2i2i−2i2i000000000000000000
χ3622-22-22-2-222-2-200-2-20022−2i2i-2200000−2i2i000002-2002i−2i2i−2i000000000000000000
χ3722-22-22-2-2-2-222002-200-2200002-2000002i−2i0-22002i−2i2i−2i−2i2i000000000000000000
χ3822-22-22-2-2-2-222002-200-2200002-200000−2i2i0-2200−2i2i−2i2i2i−2i000000000000000000
χ3922-22-22-2-2-2-222002-200-220000-22000002i−2i02-2002i−2i−2i2i2i−2i000000000000000000
χ4022-22-22-2-2-2-222002-200-220000-2200000−2i2i02-200−2i2i2i−2i−2i2i000000000000000000
χ4122-22-22-2-2-2-22200-22002-22i−2i00002-20−2i2i−2i2i000002i−2i0000-220000000000000000
χ4222-22-22-2-2-2-22200-22002-22i−2i0000-220−2i2i2i−2i00000−2i2i00002-20000000000000000
χ4322-22-22-2-2-2-22200-22002-2−2i2i00002-202i−2i2i−2i00000−2i2i0000-220000000000000000
χ4422-22-22-2-2-2-22200-22002-2−2i2i0000-2202i−2i−2i2i000002i−2i00002-20000000000000000
χ45444-44-4-4-44-44-4000000000000000000000000000000000000000000000022−2200
χ46444-44-4-4-44-44-40000000000000000000000000000000000000000000000−222200
χ47444-44-4-4-4-44-4400000000000000000000000000000000000000000000000022−22
χ48444-44-4-4-4-44-44000000000000000000000000000000000000000000000000−2222
χ4944-4-4-4-4444-4-440000000000000000000000000000000000000000002i2−2i2000000
χ5044-4-4-4-4444-4-44000000000000000000000000000000000000000000−2i22i2000000
χ5144-4-4-4-444-444-4000000000000000000000000000000000000000000002i2−2i20000
χ5244-4-4-4-444-444-400000000000000000000000000000000000000000000−2i22i20000
χ534-44-4-444-400004i−4i000000000000000000000000000000002-22i−2i000000000000
χ544-44-4-444-400004i−4i00000000000000000000000000000000-22−2i2i000000000000
χ554-44-4-444-40000−4i4i000000000000000000000000000000002-2−2i2i000000000000
χ564-44-4-444-40000−4i4i00000000000000000000000000000000-222i−2i000000000000
χ574-4-444-44-4000000004i−4i000000000000000000000000000000002i−2i2-200000000
χ584-4-444-44-4000000004i−4i00000000000000000000000000000000−2i2i-2200000000
χ594-4-444-44-400000000−4i4i000000000000000000000000000000002i−2i-2200000000
χ604-4-444-44-400000000−4i4i00000000000000000000000000000000−2i2i2-200000000
χ618-888-8-8-88000000000000000000000000000000000000000000000000000000
χ628-8-8-888-88000000000000000000000000000000000000000000000000000000

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