Finite Group Databasebeta

← Group #285503

Character table — Group #285503

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111122222244444488888888888888816161616161616161616161616161616323232
order12224444442224444448888888888882444448888888888488
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-1-1-1-1-11-1111-1-1-1111-111-1-1-1-1-1
χ3111111111111111111111-1-111111111-11-1-1-1111-1-1-1111-1-1-1-1-1
χ4111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111
χ51111111111111111111-1-111-1-1111111-1-1-1-1-1-1-11111-1-1-111-11-1
χ61111111111111111111-1-111-1-1-1-1-1-1-1-1-11-1-1-111-11111-1-1-1-11-11
χ71111111111111111111-1-1-1-1-1-11111111-1111-1-11-1-1-1-1-1-1-1-11-11
χ81111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-11-1-111-11-1
χ911111111111-1-1111-1-1-111111111-1-1-1-1111-1-11-111-1-1-1-1-1-1-111-1
χ1011111111111-1-1111-1-1-1111111-1-111111-11-1-1-11-11-1-11-1-111-1-11
χ1111111111111-1-1111-1-1-111-1-11111-1-1-1-1-11-1111-11-111-1-1-111-1-11
χ1211111111111-1-1111-1-1-111-1-111-1-11111-1-1-111-11-1-1111-1-1-1-111-1
χ1311111111111-1-1111-1-1-1-1-111-1-111-1-1-1-1-1-1-111-1111-1-1111-1-1-111
χ1411111111111-1-1111-1-1-1-1-111-1-1-1-11111-11-1111-1-11-1-1-111111-1-1
χ1511111111111-1-1111-1-1-1-1-1-1-1-1-111-1-1-1-11-11-1-1-111-111111111-1-1
χ1611111111111-1-1111-1-1-1-1-1-1-1-1-1-1-11111111-1-11-1-1-111-111-1-1-111
χ17222222-2-222-222-2-222-2-20000002222-2-20000000-200000000000
χ18222222-2-222-222-2-222-2-2000000-2-2-2-2220000000200000000000
χ19222222-2-222-2-2-2-2-22-22200000022-2-2220000000-200000000000
χ20222222-2-222-2-2-2-2-22-222000000-2-222-2-20000000200000000000
χ2122222-2222-2-222-22-2-22-200000000000002000-220000-20000000
χ2222222-2222-2-222-22-2-22-20000000000000-20002-2000020000000
χ2322222-2222-2-2-2-2-22-22-2200000000000002000-2-2000020000000
χ2422222-2222-2-2-2-2-22-22-220000000000000-2000220000-20000000
χ2522222-2-2-22-22222-2-2-2-222i−2i002i−2i0000000000000000002i−2i00000
χ2622222-2-2-22-22222-2-2-2-22−2i2i00−2i2i000000000000000000−2i2i00000
χ2722222-2-2-22-22-2-22-2-222-22i−2i002i−2i000000000000000000−2i2i00000
χ2822222-2-2-22-22-2-22-2-222-2−2i2i00−2i2i0000000000000000002i−2i00000
χ292222-2222-22-2002-2-20002222-2-200000020-200000-20000000000
χ302222-2222-22-2002-2-200022-2-2-2-2000000-2020000020000000000
χ312222-2222-22-2002-2-2000-2-22222000000-20200000-20000000000
χ322222-2222-22-2002-2-2000-2-2-2-22200000020-20000020000000000
χ332222-2-2-2-2-2-2-2002220002i−2i00−2i2i0000000002-200002i−2i00000000
χ342222-2-2-2-2-2-2-2002220002i−2i00−2i2i000000000-220000−2i2i00000000
χ352222-2-2-2-2-2-2-200222000−2i2i002i−2i0000000002-20000−2i2i00000000
χ362222-2-2-2-2-2-2-200222000−2i2i002i−2i000000000-2200002i−2i00000000
χ374444-44-4-4-44400-44-40000000000000000000000000000000000
χ384444-4-444-4-4400-4-440000000000000000000000000000000000
χ3944-4-404000-40000000000022−2200000022−22000000000000002-2000
χ4044-4-404000-40000000000022−22000000−222200000000000000-22000
χ4144-4-404000-400000000000−222200000022−2200000000000000-22000
χ4244-4-404000-400000000000−2222000000−2222000000000000002-2000
χ434-4-44-40004004-400000000000022−2222−22000000000000000000000
χ444-4-44-40004004-4000000000000−2222−2222000000000000000000000
χ454-4-44-4000400-4400000000000022−22−2222000000000000000000000
χ464-4-44-4000400-44000000000000−222222−22000000000000000000000
χ4788-8-80-800080000000000000000000000000000000000000000
χ488-88-8008-8000000000000000000000000000000000000000000
χ498-88-800-88000000000000000000000000000000000000000000
χ508-8-888000-800000000000000000000000000000000000000000

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