Finite Group Databasebeta

← Group #505147

Character table — Group #505147

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size11112222224444448888888888888161616161616161616161616161616161616163232
order1222224444888888444444444488824444488888161616161616161644
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-111-1-11-1-1-1-111-1-1-111-1-1-1-1-1-111111-1
χ411111111111111111111-1-111-1-11-1-1-1-1-1-111-111-1-11111-1-1-1-1-11
χ51111111111111111-1-1-1-1111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-111
χ61111111111111111-1-1-1-1111111111-1-1-1-1-1-11-1-1-1-111111111-1-1
χ71111111111111111-1-1-1-1-1-111-1-11-1-11111-1-1-1-1-1111111-1-1-1-11-1
χ81111111111111111-1-1-1-1-1-111-1-11-1-111-1-111-1-1-111-1-1-1-11111-11
χ911111111111-1-1111111111-1-1-1-1-1-1-11111-1-11-1-1-1-111-1-111-1-1-11
χ1011111111111-1-1111111111-1-1-1-1-1-1-111-1-1111-1-1-1-1-1-111-1-1111-1
χ1111111111111-1-11111111-1-1-1-111-111-1-11111-1-1-111-1-11111-1-1-1-1
χ1211111111111-1-11111111-1-1-1-111-111-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ1311111111111-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-111-1-111111-1-111-1-111-11
χ1411111111111-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1111111111-1-111-1-11-1
χ1511111111111-1-1111-1-1-1-1-1-1-1-111-111111111-111-1-111-1-1-1-111-1-1
χ1611111111111-1-1111-1-1-1-1-1-1-1-111-11111-1-1-1-1-111-1-1-1-11111-1-111
χ172222222222-222-2-2-2000022-2-2-2-2222000000-200000000000000
χ182222222222-222-2-2-20000-2-2-2-2222-2-2000000200000000000000
χ192222222222-2-2-2-2-2-20000222222-2-2-2000000-200000000000000
χ202222222222-2-2-2-2-2-20000-2-222-2-2-222000000200000000000000
χ212222-2-222-2-2200-2-2222-2-200002i−2i02i−2i0000000002i−2i0000000000
χ222222-2-222-2-2200-2-2222-2-20000−2i2i0−2i2i000000000−2i2i0000000000
χ232222-2-222-2-2200-2-22-2-22200002i−2i02i−2i000000000−2i2i0000000000
χ242222-2-222-2-2200-2-22-2-2220000−2i2i0−2i2i0000000002i−2i0000000000
χ252222-2-222-2-2-20022-2000000002i−2i0−2i2i2-2000002i−2i000000000000
χ262222-2-222-2-2-20022-2000000002i−2i0−2i2i-2200000−2i2i000000000000
χ272222-2-222-2-2-20022-200000000−2i2i02i−2i2-200000−2i2i000000000000
χ282222-2-222-2-2-20022-200000000−2i2i02i−2i-22000002i−2i000000000000
χ292-2-222-22-2-222002-2-22i−2i2i−2i00000000000002i−2i00000002-2000000
χ302-2-222-22-2-222002-2-22i−2i2i−2i0000000000000−2i2i0000000-22000000
χ312-2-222-22-2-222002-2-2−2i2i−2i2i00000000000002i−2i0000000-22000000
χ322-2-222-22-2-222002-2-2−2i2i−2i2i0000000000000−2i2i00000002-2000000
χ332-2-22-222-22-2200-22-22i−2i−2i2i000000000002-2000000000002i−2i0000
χ342-2-22-222-22-2200-22-22i−2i−2i2i00000000000-2200000000000−2i2i0000
χ352-2-22-222-22-2200-22-2−2i2i2i−2i000000000002-200000000000−2i2i0000
χ362-2-22-222-22-2200-22-2−2i2i2i−2i00000000000-22000000000002i−2i0000
χ37444444-4-4-4-400000000004-40000000000000000000000000000
χ38444444-4-4-4-40000000000-440000000000000000000000000000
χ394444-4-4-4-4440440000000000000-400000000000000000000000
χ404444-4-4-4-4440-4-40000000000000400000000000000000000000
χ414-4-444-44-4-44-400-4440000000000000000000000000000000000
χ424-4-444-4-444-40000000000000000000000000000000000002i2−2i200
χ434-4-444-4-444-4000000000000000000000000000000000000−2i22i200
χ444-4-44-444-44-4-4004-440000000000000000000000000000000000
χ454-4-44-44-44-4400000000000000000000000000000022−2200000000
χ464-4-44-44-44-44000000000000000000000000000000−222200000000
χ4788-8-80000000000000000004-400000000000000000000000000
χ4888-8-8000000000000000000-4400000000000000000000000000
χ498-88-8000000042−420000000000000000000000000000000000000
χ508-88-80000000−42420000000000000000000000000000000000000

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