Finite Group Databasebeta

← Group #348179

Character table — Group #348179

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222444444448888888888888888888888888816161616161616161616161616161616
order12222222222244444444224444444444444444444444442222444488888888
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ411111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ511111111111111111111-1-1111-1-1-1-1-1-111-1-111-1-11-1-111-1-111111111-1-1-1-1-1-1-1-1
χ611111111111111111111-1-1111-1-1-1-1-1-111-1-111-1-11-1-111-1-1-1-1-1-1-1-1-1-111111111
χ711111111111111111111-1-11-1-111-1-1-1-1-1-111-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ811111111111111111111-1-11-1-111-1-1-1-1-1-111-1-1111-1-1-1-111-1-1-1-111111111-1-1-1-1
χ9111111111111-1-111-1-11111-111-1-111-1-1-1-111-1-1-1-1-1-1-1111111-1-111-1-111-1-111-1-1
χ10111111111111-1-111-1-11111-111-1-111-1-1-1-111-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-111
χ11111111111111-1-111-1-11111-1-1-11111-1-111-1-11111-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111
χ12111111111111-1-111-1-11111-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1
χ13111111111111-1-111-1-111-1-1-11111-1-111-1-1-1-1-1-111-11111-1-111-1-111-1-1-1-111-1-111
χ14111111111111-1-111-1-111-1-1-11111-1-111-1-1-1-1-1-111-11111-1-1-1-111-1-11111-1-111-1-1
χ15111111111111-1-111-1-111-1-1-1-1-1-1-1-1-111111111-1-1-111-1-11111-1-1-1-111-1-11111-1-1
χ16111111111111-1-111-1-111-1-1-1-1-1-1-1-1-111111111-1-1-111-1-111-1-11111-1-111-1-1-1-111
χ1722222222222222-2-2-2-2-2-200222000000-2-2002200-200-2-2000000000000000000
χ1822222222222222-2-2-2-2-2-2002-2-20000002200-2-200-20022000000000000000000
χ19222222222222-2-2-2-222-2-200-2220000002200-2-200200-2-2000000000000000000
χ20222222222222-2-2-2-222-2-200-2-2-2000000-2-200220020022000000000000000000
χ2122222222-2-2-2-2222-2222-200-200220000002200-2-2-20000-2-20000000000000000
χ2222222222-2-2-2-2222-2222-200-200-2-2000000-2-20022-20000220000000000000000
χ2322222222-2-2-2-222-22-2-2-2222-20000-2-222000000002-2-200000000000000000000
χ2422222222-2-2-2-222-22-2-2-22-2-2-2000022-2-20000000022200000000000000000000
χ2522222222-2-2-2-2-2-22-2-2-22-20020022000000-2-200-2-220000220000000000000000
χ2622222222-2-2-2-2-2-22-2-2-22-200200-2-200000022002220000-2-20000000000000000
χ2722222222-2-2-2-2-2-2-2222-222220000-2-2-2-200000000-22200000000000000000000
χ2822222222-2-2-2-2-2-2-2222-22-2-220000222200000000-2-2-200000000000000000000
χ2922-2-22-22-222-2-2002-200-222-202i−2i002-200002i−2i00000002i−2i2i−2i0000000000000000
χ3022-2-22-22-222-2-2002-200-222-20−2i2i002-20000−2i2i0000000−2i2i−2i2i0000000000000000
χ3122-2-22-22-222-2-2002-200-22-2202i−2i00-220000−2i2i00000002i−2i−2i2i0000000000000000
χ3222-2-22-22-222-2-2002-200-22-220−2i2i00-2200002i−2i0000000−2i2i2i−2i0000000000000000
χ3322-2-22-22-222-2-200-22002-20002i−2i2-2002i−2i0000002-202i−2i−2i2i000000000000000000
χ3422-2-22-22-222-2-200-22002-20002i−2i-2200−2i2i000000-220−2i2i−2i2i000000000000000000
χ3522-2-22-22-222-2-200-22002-2000−2i2i2-200−2i2i0000002-20−2i2i2i−2i000000000000000000
χ3622-2-22-22-222-2-200-22002-2000−2i2i-22002i−2i000000-2202i−2i2i−2i000000000000000000
χ3722-2-22-22-2-2-222002200-2-20000000002i−2i2-22i−2i2-2000−2i2i00−2i2i0000000000000000
χ3822-2-22-22-2-2-222002200-2-20000000002i−2i-22−2i2i-22000−2i2i002i−2i0000000000000000
χ3922-2-22-22-2-2-222002200-2-2000000000−2i2i2-2−2i2i2-20002i−2i002i−2i0000000000000000
χ4022-2-22-22-2-2-222002200-2-2000000000−2i2i-222i−2i-220002i−2i00−2i2i0000000000000000
χ4122-2-22-22-2-2-22200-2-200222-20002-2-2200-22002-2-2200000000000000000000000
χ4222-2-22-22-2-2-22200-2-200222-2000-22-22002-200-222-200000000000000000000000
χ4322-2-22-22-2-2-22200-2-20022-220002-22-2002-200-22-2200000000000000000000000
χ4422-2-22-22-2-2-22200-2-20022-22000-222-200-22002-22-200000000000000000000000
χ45444-4-44-4-400004-40000000000000000000000000000000000002i−2i2i−2i00000000
χ46444-4-44-4-400004-4000000000000000000000000000000000000−2i2i−2i2i00000000
χ47444-4-44-4-40000-440000000000000000000000000000000000002i−2i−2i2i00000000
χ48444-4-44-4-40000-44000000000000000000000000000000000000−2i2i2i−2i00000000
χ494-4444-4-4-44-44-40000000000000000000000000000000000000000000000002i2−2i2
χ504-4444-4-4-44-44-4000000000000000000000000000000000000000000000000−2i22i2
χ514-4444-4-4-4-44-4400000000000000000000000000000000000000000000002i2−2i200
χ524-4444-4-4-4-44-440000000000000000000000000000000000000000000000−2i22i200
χ534-44-4-4-444000000004-400000000000000000000000000002-22-2000000000000
χ544-44-4-4-444000000004-40000000000000000000000000000-22-22000000000000
χ554-44-4-4-44400000000-4400000000000000000000000000002-2-22000000000000
χ564-44-4-4-44400000000-440000000000000000000000000000-222-2000000000000
χ574-4-4-444-444-4-440000000000000000000000000000000000000000000022−220000
χ584-4-4-444-444-4-4400000000000000000000000000000000000000000000−22220000
χ594-4-4-444-44-444-400000000000000000000000000000000000000000022−22000000
χ604-4-4-444-44-444-4000000000000000000000000000000000000000000−2222000000
χ6188-88-8-8-88000000000000000000000000000000000000000000000000000000
χ628-8-88-888-8000000000000000000000000000000000000000000000000000000

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