Finite Group Databasebeta

← Group #258810

Character table — Group #258810

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111122222222444488888888888888888881616161616161616161616161616161616161616
order12222222444444444444444444444448888888824444444444488888888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1111-1-1111111111-1-1-1-1-1-1-11-1-1-1-1-1-1-11111
χ4111111111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-11-1-1-111-1-11-1111111-1-1-1-1
χ5111111111111111111111-1-11111-1-11111111111-11-1-1-1-1-1-1-11-1-11111-1-1-1-1
χ6111111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-1-11-1-111-1-1-1111-1-1-1-11111
χ7111111111111111111111-1-11-1-11-1-1-1-111111111-1-1111111-1-111-1-1-1-1-1-1-1-1
χ8111111111111111111111-1-11-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111
χ911111111111111111-1-11-111-111-111-1-11111-1-1-1-1-1-11111-1-1-11-1-111-1-111-1-1
χ1011111111111111111-1-11-111-111-111-1-1-1-1-1-11111-1-111-1-1-1-1-1111-1-111-1-111
χ1111111111111111111-1-11-111-1-1-1-111111111-1-1-1-1-11-1-1-1-111-1-111-1-11111-1-1
χ1211111111111111111-1-11-111-1-1-1-11111-1-1-1-11111-11-1-11111-1-1-1-111-1-1-1-111
χ1311111111111111111-1-11-1-1-1-111-1-1-1-1-11111-1-1-1-11-1-1-1-1-111111111-1-1-1-111
χ1411111111111111111-1-11-1-1-1-111-1-1-1-1-1-1-1-1-111111-1-1-1111111-1-1-1-11111-1-1
χ1511111111111111111-1-11-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-11-1-1-1-1-111-1-111
χ1611111111111111111-1-11-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11-11111-1-111-1-1
χ172222222222-2-2-222-2-222-2222-200-2-2-20000000000-20000000200000000000
χ182222222222-2-2-222-2-222-22-2-2-200-222000000000020000000-200000000000
χ192222222222-2-2-222-2-2-2-2-2-2222002-2-2000000000020000000-200000000000
χ202222222222-2-2-222-2-2-2-2-2-2-2-22002220000000000-20000000200000000000
χ2122222222-2-2222-2-22-222-2-200222-200-2-200000000020000000-20000000000
χ2222222222-2-2222-2-22-222-2-2002-2-2-20022000000000-2000000020000000000
χ2322222222-2-2222-2-22-2-2-2-2200-22220022000000000-20000000-20000000000
χ2422222222-2-2222-2-22-2-2-2-2200-2-2-2200-2-20000000002000000020000000000
χ2522222222-2-2-2-2-2-2-2-22222-200-2002000000000000002-2002-2000000000000
χ2622222222-2-2-2-2-2-2-2-22222-200-200200000000000000-2200-22000000000000
χ2722222222-2-2-2-2-2-2-2-22-2-22200200-2000000000000002-200-22000000000000
χ2822222222-2-2-2-2-2-2-2-22-2-22200200-200000000000000-22002-2000000000000
χ2922-22-2-2-222-222-22-2-2-200202i−2i00002i−2i000000000000002i−2i0000002-2000000
χ3022-22-2-2-222-222-22-2-2-200202i−2i00002i−2i00000000000000−2i2i000000-22000000
χ3122-22-2-2-222-222-22-2-2-20020−2i2i0000−2i2i000000000000002i−2i000000-22000000
χ3222-22-2-2-222-222-22-2-2-20020−2i2i0000−2i2i00000000000000−2i2i0000002-2000000
χ3322-22-2-2-222-2-2-222-22200-202i−2i0000−2i2i000000000000000000002-2002i−2i0000
χ3422-22-2-2-222-2-2-222-22200-202i−2i0000−2i2i00000000000000000000-2200−2i2i0000
χ3522-22-2-2-222-2-2-222-22200-20−2i2i00002i−2i000000000000000000002-200−2i2i0000
χ3622-22-2-2-222-2-2-222-22200-20−2i2i00002i−2i00000000000000000000-22002i−2i0000
χ37444-44-4-4-44-4000-4400000000000000000000000000000000000000000022−22
χ38444-44-4-4-44-4000-44000000000000000000000000000000000000000000−2222
χ39444-44-4-4-4-440004-4000000000000000000000000000000000000000022−2200
χ40444-44-4-4-4-440004-40000000000000000000000000000000000000000−222200
χ4144-44-4-4-44-4444-4-44-4400-4000000000000000000000000000000000000000
χ4244-44-4-4-44-44-4-44-444-4004000000000000000000000000000000000000000
χ4344-4-4-444-444000-4-4000000000000000000002222−22−2200000000000000000000
χ4444-4-4-444-444000-4-400000000000000000000−22−22222200000000000000000000
χ4544-4-4-444-4-4-40004400000000000000002i22i2−2i2−2i2000000000000000000000000
χ4644-4-4-444-4-4-4000440000000000000000−2i2−2i22i22i2000000000000000000000000
χ474-44-4-4-444004-4400-400000000000000000002i2−2i22i2−2i200000000000000000000
χ484-44-4-4-444004-4400-40000000000000000000−2i22i2−2i22i200000000000000000000
χ494-44-4-4-44400-44-400400000000000000022−2222−22000000000000000000000000
χ504-44-4-4-44400-44-4004000000000000000−2222−2222000000000000000000000000
χ514-4-444-44-40000000004-40000000000002i−2i−2i2i2i−2i−2i2i00000000000000000000
χ524-4-444-44-40000000004-4000000000000−2i2i2i−2i−2i2i2i−2i00000000000000000000
χ534-4-444-44-4000000000-440000000000002i−2i−2i2i−2i2i2i−2i00000000000000000000
χ544-4-444-44-4000000000-44000000000000−2i2i2i−2i2i−2i−2i2i00000000000000000000
χ554-4-4-444-44004-4-400400000000000004-40000000000000000000000000000
χ564-4-4-444-44004-4-40040000000000000-440000000000000000000000000000
χ574-4-4-444-4400-44400-4000000004i−4i000000000000000000000000000000000
χ584-4-4-444-4400-44400-400000000−4i4i000000000000000000000000000000000
χ598-888-88-8-8000000000000000000000000000000000000000000000000000

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