Finite Group Databasebeta

← Group #256786

Character table — Group #256786

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111111144444444448888881616161616161616161616161616161616161616161616161616
order12222222224444444444444424444444444444888888888888
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ4111111111111111111111111-111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ511111111111111111111-1-1-1-11-1-11-1-111-1-111111111-1-1-1-1-1-1-1-1
χ611111111111111111111-1-1-1-11-1-11-1-111-1-1-1-1-1-1-1-1-1-111111111
χ711111111111111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1
χ811111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111
χ911111111-1-11-1-111111-1-111111-1-1-11-11-11-111-1-111-1-111-1-111-1-1
χ1011111111-1-11-1-111111-1-111111-1-1-11-11-11-1-1-111-1-111-1-111-1-111
χ1111111111-1-11-1-111111-1-11111-1-1-11-11-11-1111-1-1-1-111-1-11111-1-1
χ1211111111-1-11-1-111111-1-11111-1-1-11-11-11-11-1-11111-1-111-1-1-1-111
χ1311111111-1-11-1-111111-1-1-1-1-1-1111-1-111-1-1111-1-111-1-1-1-111-1-111
χ1411111111-1-11-1-111111-1-1-1-1-1-1111-1-111-1-11-1-111-1-11111-1-111-1-1
χ1511111111-1-11-1-111111-1-1-1-1-1-1-11111-1-111-111-1-1-1-11111-1-1-1-111
χ1611111111-1-11-1-111111-1-1-1-1-1-1-11111-1-111-1-1-11111-1-1-1-11111-1-1
χ1722222222222-2-2-2-2-2-22-2222-2-202-200000000000000000000000
χ1822222222222-2-2-2-2-2-22-22-2-2220-2200000000000000000000000
χ192222222222-222-2-222-2-2-20000200200-2-2000000000000000000
χ202222222222-222-2-222-2-2-20000-200-20022000000000000000000
χ212222222222-2-2-222-2-2-22-2000000002-200-220000000000000000
χ222222222222-2-2-222-2-2-22-200000000-22002-20000000000000000
χ2322222222-2-2222-2-2-2-222-222-2-20-2200000000000000000000000
χ2422222222-2-2222-2-2-2-222-2-2-22202-200000000000000000000000
χ2522222222-2-2-22222-2-2-2-22000000002200-2-20000000000000000
χ2622222222-2-2-22222-2-2-2-2200000000-2-200220000000000000000
χ2722222222-2-2-2-2-2-2-222-2220000200-200-22000000000000000000
χ2822222222-2-2-2-2-2-2-222-2220000-2002002-2000000000000000000
χ29222-2-22-2-200-2002-22-22002i−2i2i−2i0000000000002i−2i00000000002-2
χ30222-2-22-2-200-2002-22-22002i−2i2i−2i000000000000−2i2i0000000000-22
χ31222-2-22-2-200-2002-22-2200−2i2i−2i2i0000000000002i−2i0000000000-22
χ32222-2-22-2-200-2002-22-2200−2i2i−2i2i000000000000−2i2i00000000002-2
χ33222-2-22-2-200-200-22-222002i−2i−2i2i00000000002i−2i00000000002-200
χ34222-2-22-2-200-200-22-222002i−2i−2i2i0000000000−2i2i0000000000-2200
χ35222-2-22-2-200-200-22-22200−2i2i2i−2i00000000002i−2i0000000000-2200
χ36222-2-22-2-200-200-22-22200−2i2i2i−2i0000000000−2i2i00000000002-200
χ37444-4-44-4-4004004-4-44-400000000000000000000000000000000
χ38444-4-44-4-400400-444-4-400000000000000000000000000000000
χ3944-44-4-4-444-4000000000000000000000000000000002i−2i2i−2i0000
χ4044-44-4-4-444-400000000000000000000000000000000−2i2i−2i2i0000
χ4144-44-4-4-44-44000000000000000000000000000000002i−2i−2i2i0000
χ4244-44-4-4-44-4400000000000000000000000000000000−2i2i2i−2i0000
χ434-4-44-444-40004-400000000000000000000000002i−2i2i−2i00000000
χ444-4-44-444-40004-40000000000000000000000000−2i2i−2i2i00000000
χ454-4-44-444-4000-4400000000000000000000000002i−2i−2i2i00000000
χ464-4-44-444-4000-440000000000000000000000000−2i2i2i−2i00000000
χ4788-8-88-88-8000000000000000000000000000000000000000000
χ488-8888-8-8-8000000000000000000000000000000000000000000
χ498-88-8-8-888000000000000000000000000000000000000000000
χ508-8-8-888-88000000000000000000000000000000000000000000

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