Finite Group Databasebeta

← Group #349366

Character table — Group #349366

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222444444448888888888888888888888888816161616161616161616161616161616
order12222222222244444444224444444444444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1
χ611111111111111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111
χ711111111111111111111-1-11-1-11-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ811111111111111111111-1-11-1-11-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ9111111111111-1-111-1-11111-111-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-111-1-111-1-1
χ10111111111111-1-111-1-11111-111-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-111-1-111
χ11111111111111-1-111-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1-1-111-1-111
χ12111111111111-1-111-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-111-1-1
χ13111111111111-1-111-1-111-1-1-111-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-111
χ14111111111111-1-111-1-111-1-1-111-1-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-11111-1-1
χ15111111111111-1-111-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-111-1-1-1-111-1-11111-1-1
χ16111111111111-1-111-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-11111-1-111-1-1-1-111
χ1722222222222222-2-2-2-2-2-222200-2-2-222000000000000-2-2000000000000000000
χ1822222222222222-2-2-2-2-2-2-2-2200-222-2-200000000000022000000000000000000
χ19222222222222-2-2-2-222-2-222-2002-2-2-2-200000000000022000000000000000000
χ20222222222222-2-2-2-222-2-2-2-2-20022222000000000000-2-2000000000000000000
χ2122222222-2-2-2-2222-2222-200-222-2000022-2-20000000000-2-20000000000000000
χ2222222222-2-2-2-2222-2222-200-2-2-2-20000-2-2220000000000220000000000000000
χ2322222222-2-2-2-222-22-2-2-2200-20020000000022-2-222-2-200000000000000000000
χ2422222222-2-2-2-222-22-2-2-2200-200200000000-2-222-2-22200000000000000000000
χ2522222222-2-2-2-2-2-22-2-2-22-20022220000-2-2220000000000-2-20000000000000000
χ2622222222-2-2-2-2-2-22-2-2-22-2002-2-22000022-2-20000000000220000000000000000
χ2722222222-2-2-2-2-2-2-2222-2200200-20000000022-2-2-2-22200000000000000000000
χ2822222222-2-2-2-2-2-2-2222-2200200-200000000-2-22222-2-200000000000000000000
χ2922-222-2-2-222-2-2002200-2-22-200002-2002-22-200002-22-200000000000000000000
χ3022-222-2-2-222-2-2002200-2-22-200002-200-22-220000-22-2200000000000000000000
χ3122-222-2-2-222-2-2002200-2-2-220000-22002-22-20000-22-2200000000000000000000
χ3222-222-2-2-222-2-2002200-2-2-220000-2200-22-2200002-22-200000000000000000000
χ3322-222-2-2-222-2-200-2-200222-202i−2i0-220000002i−2i2i−2i0000002i−2i0000000000000000
χ3422-222-2-2-222-2-200-2-200222-20−2i2i0-22000000−2i2i−2i2i000000−2i2i0000000000000000
χ3522-222-2-2-222-2-200-2-20022-2202i−2i02-2000000−2i2i−2i2i0000002i−2i0000000000000000
χ3622-222-2-2-222-2-200-2-20022-220−2i2i02-20000002i−2i2i−2i000000−2i2i0000000000000000
χ3722-222-2-2-2-2-222002-200-22000000002i−2i2-2-222i−2i−2i2i00002i−2i000000000000000000
χ3822-222-2-2-2-2-222002-200-22000000002i−2i-222-2−2i2i2i−2i00002i−2i000000000000000000
χ3922-222-2-2-2-2-222002-200-2200000000−2i2i2-2-22−2i2i2i−2i0000−2i2i000000000000000000
χ4022-222-2-2-2-2-222002-200-2200000000−2i2i-222-22i−2i−2i2i0000−2i2i000000000000000000
χ4122-222-2-2-2-2-22200-22002-20002i−2i0002i−2i000000002-2-22−2i2i−2i2i0000000000000000
χ4222-222-2-2-2-2-22200-22002-20002i−2i000−2i2i00000000-222-22i−2i−2i2i0000000000000000
χ4322-222-2-2-2-2-22200-22002-2000−2i2i0002i−2i00000000-222-2−2i2i2i−2i0000000000000000
χ4422-222-2-2-2-2-22200-22002-2000−2i2i000−2i2i000000002-2-222i−2i2i−2i0000000000000000
χ45444-4-4-4-444-44-40000000000000000000000000000000000000000000022−220000
χ46444-4-4-4-444-44-400000000000000000000000000000000000000000000−22220000
χ47444-4-4-4-44-44-440000000000000000000000000000000000000000002i2−2i2000000
χ48444-4-4-4-44-44-44000000000000000000000000000000000000000000−2i22i2000000
χ4944-4-4-444-44-4-440000000000000000000000000000000000000000000000002i2−2i2
χ5044-4-4-444-44-4-44000000000000000000000000000000000000000000000000−2i22i2
χ5144-4-4-444-4-444-4000000000000000000000000000000000000000000000022−2200
χ5244-4-4-444-4-444-40000000000000000000000000000000000000000000000−222200
χ534-444-44-4-4000000004i−4i000000000000000000000000000000002-22i−2i00000000
χ544-444-44-4-4000000004i−4i00000000000000000000000000000000-22−2i2i00000000
χ554-444-44-4-400000000−4i4i000000000000000000000000000000002-2−2i2i00000000
χ564-444-44-4-400000000−4i4i00000000000000000000000000000000-222i−2i00000000
χ574-44-44-44-400004-4000000000000000000000000000000002i−2i2i−2i000000000000
χ584-44-44-44-400004-400000000000000000000000000000000−2i2i−2i2i000000000000
χ594-44-44-44-40000-44000000000000000000000000000000002i−2i−2i2i000000000000
χ604-44-44-44-40000-4400000000000000000000000000000000−2i2i2i−2i000000000000
χ618-8-88-8-888000000000000000000000000000000000000000000000000000000
χ628-8-8-888-88000000000000000000000000000000000000000000000000000000

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