Finite Group Databasebeta

← Group #460072

Character table — Group #460072

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11111111222222222222888888888888888888888888161616161616161616161616161616161616
order12222222222244444444444444444444444488888888224444444488888888
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ311111111111111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-111-1-1-1-1
χ51111111111111111111111-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-111-1-1
χ61111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1
χ71111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-111
χ81111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-111
χ911111111111111111111-1-11111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ1011111111111111111111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ1111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-111-1-1111111
χ1211111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-11111
χ1311111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-111-1-1-1-111-1-111
χ1411111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111
χ1511111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-1
χ1611111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1111111-1-1
χ1722222222-2-2-2-222-2-22-22-20000000022-2-2000022-2-200000000002-20000000000
χ1822222222-2-2-2-222-2-22-22-20000000022-2-20000-2-2220000000000-220000000000
χ1922222222-2-2-2-222-2-22-22-200000000-2-222000022-2-20000000000-220000000000
χ2022222222-2-2-2-222-2-22-22-200000000-2-2220000-2-22200000000002-20000000000
χ2122222222-2-2-2-2-2-222-22-22220000-2-200000000000022-2-2000000002-200000000
χ2222222222-2-2-2-2-2-222-22-22220000-2-2000000000000-2-22200000000-2200000000
χ2322222222-2-2-2-2-2-222-22-22-2-200002200000000000022-2-200000000-2200000000
χ2422222222-2-2-2-2-2-222-22-22-2-2000022000000000000-2-222000000002-200000000
χ25222-2-22-2-222-2-22-2-2-222-22002i2i−2i−2i0000002i2i−2i−2i0000000000002-2000000000000
χ26222-2-22-2-222-2-22-2-2-222-22002i2i−2i−2i000000−2i−2i2i2i000000000000-22000000000000
χ27222-2-22-2-222-2-22-2-2-222-2200−2i−2i2i2i0000002i2i−2i−2i000000000000-22000000000000
χ28222-2-22-2-222-2-22-2-2-222-2200−2i−2i2i2i000000−2i−2i2i2i0000000000002-2000000000000
χ2922-222-2-2-22-22-22-22-2-2-2222i−2i2-22-22i−2i2i−2i2i−2i000000000000000000000000000000
χ3022-222-2-2-22-22-22-22-2-2-2222i−2i-22-222i−2i−2i2i−2i2i000000000000000000000000000000
χ3122-222-2-2-22-22-22-22-2-2-222−2i2i2-22-2−2i2i−2i2i−2i2i000000000000000000000000000000
χ3222-222-2-2-22-22-22-22-2-2-222−2i2i-22-22−2i2i2i−2i2i−2i000000000000000000000000000000
χ3322-222-2-2-2-22-222-2-22-222-2000000002i−2i−2i2i0000000000002-2000000002i−2i000000
χ3422-222-2-2-2-22-222-2-22-222-2000000002i−2i−2i2i000000000000-2200000000−2i2i000000
χ3522-222-2-2-2-22-222-2-22-222-200000000−2i2i2i−2i0000000000002-200000000−2i2i000000
χ3622-222-2-2-2-22-222-2-22-222-200000000−2i2i2i−2i000000000000-22000000002i−2i000000
χ3722-222-2-2-2-22-22-222-22-2-222i−2i0000−2i2i0000000000000000002-2000000002i−2i0000
χ3822-222-2-2-2-22-22-222-22-2-222i−2i0000−2i2i000000000000000000-2200000000−2i2i0000
χ3922-222-2-2-2-22-22-222-22-2-22−2i2i00002i−2i0000000000000000002-200000000−2i2i0000
χ4022-222-2-2-2-22-22-222-22-2-22−2i2i00002i−2i000000000000000000-22000000002i−2i0000
χ4122-2-2-2-2222-2-2222-22-2-2-22002i−2i−2i2i000000000000000000000000000000002i−2i2-2
χ4222-2-2-2-2222-2-2222-22-2-2-22002i−2i−2i2i00000000000000000000000000000000−2i2i-22
χ4322-2-2-2-2222-2-2222-22-2-2-2200−2i2i2i−2i000000000000000000000000000000002i−2i-22
χ4422-2-2-2-2222-2-2222-22-2-2-2200−2i2i2i−2i00000000000000000000000000000000−2i2i2-2
χ45444444444444-4-4-4-4-4-4-4-4000000000000000000000000000000000000000000
χ46444-4-44-4-444-4-4-4444-4-44-4000000000000000000000000000000000000000000
χ47444-4-44-4-4-4-4444-4444-4-4-4000000000000000000000000000000000000000000
χ48444-4-44-4-4-4-444-44-4-4-4444000000000000000000000000000000000000000000
χ4944-444-4-4-44-44-4-44-4444-4-4000000000000000000000000000000000000000000
χ5044-4-4-4-4444-4-44-4-44-4444-4000000000000000000000000000000000000000000
χ5144-4-4-4-444-444-4444-4-44-4-4000000000000000000000000000000000000000000
χ5244-4-4-4-444-444-4-4-4-444-444000000000000000000000000000000000000000000
χ534-444-4-44-40000000000000000000000002i−2i2i−2i0022−22002i2−2i2000000000000000000
χ544-444-4-44-40000000000000000000000002i−2i2i−2i00−222200−2i22i2000000000000000000
χ554-444-4-44-4000000000000000000000000−2i2i−2i2i0022−2200−2i22i2000000000000000000
χ564-444-4-44-4000000000000000000000000−2i2i−2i2i00−2222002i2−2i2000000000000000000
χ574-44-44-4-440000000000000000000000002-2-222i2−2i2002i2−2i200000000000000000000
χ584-44-44-4-440000000000000000000000002-2-22−2i22i200−2i22i200000000000000000000
χ594-44-44-4-44000000000000000000000000-222-22i2−2i200−2i22i200000000000000000000
χ604-44-44-4-44000000000000000000000000-222-2−2i22i2002i2−2i200000000000000000000
χ618-8-88-88-88000000000000000000000000000000000000000000000000000000
χ628-8-8-8888-8000000000000000000000000000000000000000000000000000000

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