Finite Group Databasebeta

← Group #255013

Character table — Group #255013

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11111111222222224444448888888888888888888888161616161616161616161616161616161616
order12222222444444444444442222222224444488888888444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-11-1-1111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111-1-1-1-11-1-1-1-111111111-1-111-11111-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111111111
χ511111111111111111111111-1-1-1-111-1-1111-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ611111111111111111111111-1-1-1-111-1-1111-1-1-1-1-1-1-1-1-1-11111-111-1-1-1-1-1-1-11111
χ711111111111111111111111-1-1-1-1-1-1111-1-11111111111-1-1-1-11-1-1-1-11-1-1-1-11111
χ811111111111111111111111-1-1-1-1-1-1111-1-111-1-1-1-1-1-1-1-1-1-111111-1-111111-1-1-1-1
χ911111111111111111-1-1-1-11-111111111-1-1-1-1-11111-1-1-1-1-1111-1-1-1-1-1111-1-111-1-1
χ1011111111111111111-1-1-1-11-111111111-1-1-1-1-1-1-1-1-11111-11-1-1-111-1-11-1-111-1-111
χ1111111111111111111-1-1-1-11-11111-1-1-1-1-111111111-1-1-1-11-1111-1-1-1-1-1-1-111-1-111
χ1211111111111111111-1-1-1-11-11111-1-1-1-1-11111-1-1-1-111111-1-1-1111-1-1-111-1-111-1-1
χ1311111111111111111-1-1-1-11-1-1-1-1-111-1-1-1-1-1111111-1-1-1-1-11-1-111111-111-1-1-1-111
χ1411111111111111111-1-1-1-11-1-1-1-1-111-1-1-1-1-111-1-1-1-11111-11111-1-111-1-1-11111-1-1
χ1511111111111111111-1-1-1-11-1-1-1-1-1-1-111-111-1-11111-1-1-1-11-1-1-1-111111-1-11111-1-1
χ1611111111111111111-1-1-1-11-1-1-1-1-1-1-111-111-1-1-1-1-1-111111-111-1-1-111111-1-1-1-111
χ172222222222-2-222-2-2-222-2-2-2200000022-200-2-200000000000020000-200000000
χ182222222222-2-222-2-2-222-2-2-22000000-2-2-20022000000000000-20000200000000
χ192222222222-2-222-2-2-2-2-222-2-20000002220022000000000000-20000-200000000
χ202222222222-2-222-2-2-2-2-222-2-2000000-2-2200-2-200000000000020000200000000
χ2122222222-2-222-2-222-222-2-2-2-2000022002-2-200000000002-20000000000000000
χ2222222222-2-222-2-222-222-2-2-2-20000-2-2002220000000000-220000000000000000
χ2322222222-2-222-2-222-2-2-222-2200002200-2220000000000-2-20000000000000000
χ2422222222-2-222-2-222-2-2-222-220000-2-200-2-2-20000000000220000000000000000
χ2522222222-2-2-2-2-2-2-2-2222222-222-2-20000-200000000000000000002-2000000000
χ2622222222-2-2-2-2-2-2-2-2222222-2-2-2220000-20000000000000000000-22000000000
χ2722222222-2-2-2-2-2-2-2-22-2-2-2-22222-2-2000020000000000000000000-22000000000
χ2822222222-2-2-2-2-2-2-2-22-2-2-2-222-2-2220000200000000000000000002-2000000000
χ2922-22-2-2-222-22-22-22-220000-202-22-200000000000002i2i−2i−2i000002i−2i00000000000
χ3022-22-2-2-222-22-22-22-220000-202-22-20000000000000−2i−2i2i2i00000−2i2i00000000000
χ3122-22-2-2-222-22-22-22-220000-20-22-2200000000000002i2i−2i−2i00000−2i2i00000000000
χ3222-22-2-2-222-22-22-22-220000-20-22-220000000000000−2i−2i2i2i000002i−2i00000000000
χ3322-22-2-2-22-22-22-22-2220000-202-2-220000000002i2i−2i−2i0000002i−2i00000000000000
χ3422-22-2-2-22-22-22-22-2220000-202-2-22000000000−2i−2i2i2i000000−2i2i00000000000000
χ3522-22-2-2-22-22-22-22-2220000-20-222-20000000002i2i−2i−2i000000−2i2i00000000000000
χ3622-22-2-2-22-22-22-22-2220000-20-222-2000000000−2i−2i2i2i0000002i−2i00000000000000
χ37444-4-4-44-4000000000004i−4i0000000000000002i−2i2i−2i2-22-2000000000000000000
χ38444-4-4-44-4000000000004i−4i000000000000000−2i2i−2i2i-22-22000000000000000000
χ39444-4-4-44-400000000000−4i4i0000000000000002i−2i2i−2i-22-22000000000000000000
χ40444-4-4-44-400000000000−4i4i000000000000000−2i2i−2i2i2-22-2000000000000000000
χ4144-44-4-4-444-4-444-4-44-4000040000000000000000000000000000000000000000
χ4244-44-4-4-44-444-4-444-4-4000040000000000000000000000000000000000000000
χ4344-4-444-4-40000000004i−4i000000000000000002-2-222i−2i−2i2i000000000000000000
χ4444-4-444-4-40000000004i−4i00000000000000000-222-2−2i2i2i−2i000000000000000000
χ4544-4-444-4-4000000000−4i4i000000000000000002-2-22−2i2i2i−2i000000000000000000
χ4644-4-444-4-4000000000−4i4i00000000000000000-222-22i−2i−2i2i000000000000000000
χ474-4444-4-4-44-400-44000000000000000000000000000000000000000000002i2−2i200
χ484-4444-4-4-44-400-4400000000000000000000000000000000000000000000−2i22i200
χ494-4444-4-4-4-44004-400000000000000000000000000000000000000000000002i2−2i2
χ504-4444-4-4-4-44004-40000000000000000000000000000000000000000000000−2i22i2
χ514-44-4-44-44004400-4-400000000000000000000000000000000000000002i2−2i20000
χ524-44-4-44-44004400-4-40000000000000000000000000000000000000000−2i22i20000
χ534-44-4-44-4400-4-400440000000000000000000000000000000000000022−22000000
χ544-44-4-44-4400-4-4004400000000000000000000000000000000000000−2222000000
χ554-4-44-444-44400-4-4000000000000000000004i−4i00000000000000000000000000
χ564-4-44-444-44400-4-400000000000000000000−4i4i00000000000000000000000000
χ574-4-44-444-4-4-400440000000000000004-40000000000000000000000000000000
χ584-4-44-444-4-4-40044000000000000000-440000000000000000000000000000000
χ594-4-4-44-444004-400-44000000000004-4000000000000000000000000000000000
χ604-4-4-44-444004-400-4400000000000-44000000000000000000000000000000000
χ614-4-4-44-44400-44004-400000000000000004-40000000000000000000000000000
χ624-4-4-44-44400-44004-40000000000000000-440000000000000000000000000000

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