Finite Group Databasebeta

← Group #349999

Character table — Group #349999

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222444444448888888888888888888888888816161616161616161616161616161616
order12222222222244444444444444444444444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ5111111111111111111111-1-1-1-11-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ6111111111111111111111-1-1-1-11-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ7111111111111111111111-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ8111111111111111111111-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ9111111111111-1-1-1-11111-11111-1-1-111-1-111-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-1
χ10111111111111-1-1-1-11111-11111-1-1-111-1-111-1-1-1-111-1-111-1-1-1-111-1-111-1-111-1-111
χ11111111111111-1-1-1-11111-11111-1-1-1-1-111-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111
χ12111111111111-1-1-1-11111-11111-1-1-1-1-111-1-111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1
χ13111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-111-1-1-1-111-1-111
χ14111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-111-1-11111-1-111-1-1
χ15111111111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-111-1-11111-1-111-1-1-1-111-1-11111-1-1
χ16111111111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-111-1-11111-1-1-1-11111-1-111-1-1-1-111
χ1722222222222222-2-2-2-2-2-220000-2002222000000-2-2-2-200000000000000000000
χ1822222222222222-2-2-2-2-2-220000-200-2-2-2-2000000222200000000000000000000
χ19222222222222-2-222-2-2-2-2-2000020022-2-2000000-2-22200000000000000000000
χ20222222222222-2-222-2-2-2-2-20000200-2-22200000022-2-200000000000000000000
χ2122222222-2-2-2-2222222-2-2-222-2-2-22200000000-2-2000000000000000000000000
χ2222222222-2-2-2-2222222-2-2-2-2-222-2-2-20000000022000000000000000000000000
χ2322222222-2-2-2-222-2-2-2-222-2000020000002222000000-2-2-2-20000000000000000
χ2422222222-2-2-2-222-2-2-2-222-200002000000-2-2-2-200000022220000000000000000
χ2522222222-2-2-2-2-2-222-2-22220000-200000022-2-2000000-2-2220000000000000000
χ2622222222-2-2-2-2-2-222-2-22220000-2000000-2-22200000022-2-20000000000000000
χ2722222222-2-2-2-2-2-2-2-222-2-2222-2-22-2-20000000022000000000000000000000000
χ2822222222-2-2-2-2-2-2-2-222-2-22-2-22222200000000-2-2000000000000000000000000
χ2922-2-22-22-22-22-200002-22-20000002i−2i002-22i−2i002i−2i002-22i−2i000000000000000000
χ3022-2-22-22-22-22-200002-22-20000002i−2i00-22−2i2i002i−2i00-22−2i2i000000000000000000
χ3122-2-22-22-22-22-200002-22-2000000−2i2i002-2−2i2i00−2i2i002-2−2i2i000000000000000000
χ3222-2-22-22-22-22-200002-22-2000000−2i2i00-222i−2i00−2i2i00-222i−2i000000000000000000
χ3322-2-22-22-22-22-20000-22-2202i−2i2i−2i000002-2002i−2i0000-22002i−2i0000000000000000
χ3422-2-22-22-22-22-20000-22-2202i−2i2i−2i00000-2200−2i2i00002-200−2i2i0000000000000000
χ3522-2-22-22-22-22-20000-22-220−2i2i−2i2i000002-200−2i2i0000-2200−2i2i0000000000000000
χ3622-2-22-22-22-22-20000-22-220−2i2i−2i2i00000-22002i−2i00002-2002i−2i0000000000000000
χ3722-2-22-22-2-22-2200002-2-220000002i−2i2-200002i−2i−2i2i2-20000−2i2i0000000000000000
χ3822-2-22-22-2-22-2200002-2-220000002i−2i-220000−2i2i−2i2i-2200002i−2i0000000000000000
χ3922-2-22-22-2-22-2200002-2-22000000−2i2i2-20000−2i2i2i−2i2-200002i−2i0000000000000000
χ4022-2-22-22-2-22-2200002-2-22000000−2i2i-2200002i−2i2i−2i-220000−2i2i0000000000000000
χ4122-2-22-22-2-22-220000-222-202i−2i−2i2i0002-2002i−2i0000-2200−2i2i000000000000000000
χ4222-2-22-22-2-22-220000-222-202i−2i−2i2i000-2200−2i2i00002-2002i−2i000000000000000000
χ4322-2-22-22-2-22-220000-222-20−2i2i2i−2i0002-200−2i2i0000-22002i−2i000000000000000000
χ4422-2-22-22-2-22-220000-222-20−2i2i2i−2i000-22002i−2i00002-200−2i2i000000000000000000
χ45444-4-44-4-400004-40000000000000000000000000000000000002-22-200000000
χ46444-4-44-4-400004-4000000000000000000000000000000000000-22-2200000000
χ47444-4-44-4-40000-440000000000000000000000000000000000002-2-2200000000
χ48444-4-44-4-40000-44000000000000000000000000000000000000-222-200000000
χ494-4444-4-4-44-4-44000000000000000000000000000000000000000000000022−2200
χ504-4444-4-4-44-4-440000000000000000000000000000000000000000000000−222200
χ514-4444-4-4-4-444-400000000000000000000000000000000000000000000000022−22
χ524-4444-4-4-4-444-4000000000000000000000000000000000000000000000000−2222
χ534-4-44-444-40000004i−4i0000000000000000000000000000002-22i−2i000000000000
χ544-4-44-444-40000004i−4i000000000000000000000000000000-22−2i2i000000000000
χ554-4-44-444-4000000−4i4i0000000000000000000000000000002-2−2i2i000000000000
χ564-4-44-444-4000000−4i4i000000000000000000000000000000-222i−2i000000000000
χ574-4-4-444-4444-4-4000000000000000000000000000000000000000000002i2−2i20000
χ584-4-4-444-4444-4-400000000000000000000000000000000000000000000−2i22i20000
χ594-4-4-444-44-4-44400000000000000000000000000000000000000000022−22000000
χ604-4-4-444-44-4-444000000000000000000000000000000000000000000−2222000000
χ6188-88-8-8-88000000000000000000000000000000000000000000000000000000
χ628-88-8-8-888000000000000000000000000000000000000000000000000000000

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