Finite Group Databasebeta

← Group #256421

Character table — Group #256421

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111111112222444444448888888888888816161616161616161616161616161616161616161616
order12222222222244444444444444444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111
χ51111111111111111111111-1-1-1-1111111111-111-1-1-1-11-1-1-1-1-11111-1-1-1-1
χ61111111111111111111111-1-1-1-111111111-11-1-111-1-1-11-1-1-1-1-1-1-1-11111
χ71111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-1-11-11111-1-1-1-11111
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1111111111-1-1-1-1
χ9111111111111-1-1-1-11111-1-111111111-1-1-1-11-1-1-111-1-11-111-1-111-1-111-1-1
χ10111111111111-1-1-1-11111-1-111111111-1-1-1-1-1111-1-1-1-1-1111-1-1-1-111-1-111
χ11111111111111-1-1-1-11111-1-11111-1-1-1-111111-1-1-111-1-11-1-1-111-1-111-1-111
χ12111111111111-1-1-1-11111-1-11111-1-1-1-11111-1111-1-1-1-1-11-1-11111-1-111-1-1
χ13111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-111
χ14111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1
χ15111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-11111-1-1
χ16111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-111-1-111-1-1-1-111
χ172222222222222222-2-2-2-2-2-222-2-2000000000000002-200000000000000
χ182222222222222222-2-2-2-2-2-2-2-22200000000000000-2200000000000000
χ19222222222222-2-2-2-2-2-2-2-22222-2-200000000000000-2200000000000000
χ20222222222222-2-2-2-2-2-2-2-222-2-222000000000000002-200000000000000
χ2122222222-2-2-2-222-2-222-2-22-200000000000002002-2000-2000000000000
χ2222222222-2-2-2-222-2-222-2-22-20000000000000-200-220002000000000000
χ2322222222-2-2-2-222-2-2-2-222-22000000000000202-20000-20000000000000
χ2422222222-2-2-2-222-2-2-2-222-22000000000000-20-22000020000000000000
χ2522222222-2-2-2-2-2-22222-2-2-220000000000000200-22000-2000000000000
χ2622222222-2-2-2-2-2-22222-2-2-220000000000000-2002-20002000000000000
χ2722222222-2-2-2-2-2-222-2-2222-200000000000020-220000-20000000000000
χ2822222222-2-2-2-2-2-222-2-2222-2000000000000-202-2000020000000000000
χ2922-2-222-2-22-2-2200002-22-2002i−2i2i−2i00002i2i−2i−2i0000000000002-200000000
χ3022-2-222-2-22-2-2200002-22-2002i−2i2i−2i0000−2i−2i2i2i000000000000-2200000000
χ3122-2-222-2-22-2-2200002-22-200−2i2i−2i2i00002i2i−2i−2i000000000000-2200000000
χ3222-2-222-2-22-2-2200002-22-200−2i2i−2i2i0000−2i−2i2i2i0000000000002-200000000
χ3322-2-222-2-22-2-220000-22-22002i−2i−2i2i2i2i−2i−2i000000000000002-20000000000
χ3422-2-222-2-22-2-220000-22-22002i−2i−2i2i−2i−2i2i2i00000000000000-220000000000
χ3522-2-222-2-22-2-220000-22-2200−2i2i2i−2i2i2i−2i−2i00000000000000-220000000000
χ3622-2-222-2-22-2-220000-22-2200−2i2i2i−2i−2i−2i2i2i000000000000002-20000000000
χ37444-4-4-44-444-4-400000000000000000000000000000000000022−22000000
χ38444-4-4-44-444-4-4000000000000000000000000000000000000−2222000000
χ39444-4-4-44-4-4-444000000000000000000000000000000000000002i2−2i20000
χ40444-4-4-44-4-4-44400000000000000000000000000000000000000−2i22i20000
χ4144-44-4-4-444-44-4000000000000000000000000000000000000000022−2200
χ4244-44-4-4-444-44-40000000000000000000000000000000000000000−222200
χ4344-44-4-4-44-44-440000000000000000000000000000000000000000002i2−2i2
χ4444-44-4-4-44-44-44000000000000000000000000000000000000000000−2i22i2
χ4544-4-444-4-4-444-400004-4-44000000000000000000000000000000000000
χ4644-4-444-4-4-444-40000-444-4000000000000000000000000000000000000
χ474-44-44-4-440000004i−4i00000000002i−2i2i−2i2-22-20000000000000000000000
χ484-44-44-4-440000004i−4i0000000000−2i2i−2i2i-22-220000000000000000000000
χ494-44-44-4-44000000−4i4i00000000002i−2i2i−2i-22-220000000000000000000000
χ504-44-44-4-44000000−4i4i0000000000−2i2i−2i2i2-22-20000000000000000000000
χ514-4-444-44-400004i−4i0000000000002-2-222i−2i−2i2i0000000000000000000000
χ524-4-444-44-400004i−4i000000000000-222-2−2i2i2i−2i0000000000000000000000
χ534-4-444-44-40000−4i4i0000000000002-2-22−2i2i2i−2i0000000000000000000000
χ544-4-444-44-40000−4i4i000000000000-222-22i−2i−2i2i0000000000000000000000
χ558-888-88-8-8000000000000000000000000000000000000000000000000
χ568-8-8-8-8888000000000000000000000000000000000000000000000000

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