Finite Group Databasebeta

← Group #175378

Character table — Group #175378

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111444444444444888888888161616161616161616161616161616161616161616161616
order12222222224444444444224444444444444444444888888888888
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-1-1-111-11-1-11-1-1-11111-1-1-1-11111-1-1-1-1
χ411111111111111111111111-1-1-1-111-11-1-11-1-1-1-1-1-1-11111-1-1-1-11111
χ511111111111111111111-1-111111-1-11-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111
χ611111111111111111111-1-111111-1-11-1-1-1-1-1-11-1-1-1-111111111-1-1-1-1
χ711111111111111111111-1-11-1-1-1-1-1-1-1-111-111-111111111-1-1-1-1-1-1-1-1
χ811111111111111111111-1-11-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1-1-1-111111111
χ911111111-1-11-1-11-1-1111111-111-1-1-1-11-11-111-1-111-1-111-1-111-1-111-1-1
χ1011111111-1-11-1-11-1-1111111-111-1-1-1-11-11-111-1-1-1-111-1-111-1-111-1-111
χ1111111111-1-11-1-11-1-1111111-1-1-111-1-1-1-1-111-11111-1-1-1-11111-1-1-1-111
χ1211111111-1-11-1-11-1-1111111-1-1-111-1-1-1-1-111-111-1-11111-1-1-1-11111-1-1
χ1311111111-1-11-1-11-1-11111-1-1-111-1-11111-11-1-11-111-1-1-1-111-1-11111-1-1
χ1411111111-1-11-1-11-1-11111-1-1-111-1-11111-11-1-11-1-1-11111-1-111-1-1-1-111
χ1511111111-1-11-1-11-1-11111-1-1-1-1-11111-111-1-11-1111-1-111-1-1-1-111-1-111
χ1611111111-1-11-1-11-1-11111-1-1-1-1-11111-111-1-11-11-1-111-1-11111-1-111-1-1
χ172222222222222-2-2-2-2-22-200-222-2-200-200000020000000000000000
χ182222222222222-2-2-2-2-22-200-2-2-222002000000-20000000000000000
χ192222222222-2-2-22-2-2-2-2-222220000-2-20200-20000000000000000000
χ202222222222-2-2-22-2-2-2-2-22-2-220000220-20020000000000000000000
χ212222222222-2-2-2-22222-2-200-200000000220-2-200000000000000000
χ222222222222-2-2-2-22222-2-200-200000000-2-202200000000000000000
χ2322222222-2-22-2-2-222-2-22-2002222200-2000000-20000000000000000
χ2422222222-2-22-2-2-222-2-22-2002-2-2-2-200200000020000000000000000
χ2522222222-2-2-222222-2-2-2222-20000220-200-20000000000000000000
χ2622222222-2-2-222222-2-2-22-2-2-20000-2-2020020000000000000000000
χ2722222222-2-2-222-2-2-222-2-2002000000002-20-2200000000000000000
χ2822222222-2-2-222-2-2-222-2-200200000000-2202-200000000000000000
χ29444-4-4-4-440000004-400000000000000000000000002i−2i2i−2i00000000
χ30444-4-4-4-440000004-40000000000000000000000000−2i2i−2i2i00000000
χ31444-4-4-4-44000000-4400000000000000000000000002i−2i−2i2i00000000
χ32444-4-4-4-44000000-440000000000000000000000000−2i2i2i−2i00000000
χ3344-444-4-4-44-40000000000000000000000000000000000000002-22-2
χ3444-444-4-4-44-4000000000000000000000000000000000000000-22-22
χ3544-444-4-4-4-440000000000000000000000000000000000000002-2-22
χ3644-444-4-4-4-44000000000000000000000000000000000000000-222-2
χ374-444-44-4-400000400000-44-40000000000000000000000000000000
χ384-444-44-4-400000400000-4-440000000000000000000000000000000
χ394-444-44-4-400000-400000400000004i−4i000000000000000000000000
χ404-444-44-4-400000-40000040000000−4i4i000000000000000000000000
χ414-44-44-44-40040000000-40000004-400000000000000000000000000
χ424-44-44-44-40040000000-4000000-4400000000000000000000000000
χ434-44-44-44-400-40000000400004i−4i0000000000000000000000000000
χ444-44-44-44-400-4000000040000−4i4i0000000000000000000000000000
χ454-4-44-4-444000000004-40000000000000000000000000000022−220000
χ464-4-44-4-444000000004-400000000000000000000000000000−22220000
χ474-4-44-4-44400000000-4400000000000000000000000000022−22000000
χ484-4-44-4-44400000000-44000000000000000000000000000−2222000000
χ494-4-4-444-440004-40000000000000000000000002-22-2000000000000
χ504-4-4-444-440004-4000000000000000000000000-22-22000000000000
χ514-4-4-444-44000-440000000000000000000000002-2-22000000000000
χ524-4-4-444-44000-44000000000000000000000000-222-2000000000000
χ5388-8-8-888-8000000000000000000000000000000000000000000000

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