Finite Group Databasebeta

← Group #166345

Character table — Group #166345

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111122224444444444888888888888888881616161616161616161616161616161616161616
order12222222222244444444442222444448888888822444444444488888888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1111-1-1111111111-1-1-1-11-1-11111-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-1-1-111111111
χ51111111111111111111111-1-1111-1-11111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1
χ61111111111111111111111-1-1111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111
χ71111111111111111111111-1-1-1-11-1-1-1-111111111-11-1-11-111-1-1-1-1-1-1-1-11111
χ81111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-11111111111-1-1-1-1
χ911111111-1-1-1-11-1-11-1-111111111-1-1-1-1-11111-1-1-1-1-111-111-1-111-1-111-1-111-1-1
χ1011111111-1-1-1-11-1-11-1-111111111-1-1-1-1-1-1-1-1-11111-111-111-1-1-1-111-1-111-1-111
χ1111111111-1-1-1-11-1-11-1-1111111-1-1-1-1-1111111-1-1-1-1-1-1-11-111111-1-1-1-111-1-111
χ1211111111-1-1-1-11-1-11-1-1111111-1-1-1-1-111-1-1-1-11111-1-1-11-1111-1-11111-1-111-1-1
χ1311111111-1-1-1-11-1-11-1-11111-1-111-111-1-11111-1-1-1-11-11-1-1-111-1-11111-1-1-1-111
χ1411111111-1-1-1-11-1-11-1-11111-1-111-111-1-1-1-1-1-111111-11-1-1-11111-1-1-1-11111-1-1
χ1511111111-1-1-1-11-1-11-1-11111-1-1-1-1-111111111-1-1-1-111-111-1-1-1-1-111-1-11111-1-1
χ1611111111-1-1-1-11-1-11-1-11111-1-1-1-1-11111-1-1-1-1111111-111-1-1-111-1-111-1-1-1-111
χ17222222222222222-2-2-2-2-22-20022-200220000000000-2-20000000000000000
χ18222222222222222-2-2-2-2-22-200-2-2-200-2-20000000000220000000000000000
χ19222222222222-2-2-2222-2-2-222200-2-2-2000000000020000-200000000000000
χ20222222222222-2-2-2222-2-2-22-2-200-2220000000000-20000200000000000000
χ21222222222222-2-2-2-2-2-222-2-2000020000000000000200-202-2000000000000
χ22222222222222-2-2-2-2-2-222-2-2000020000000000000-20020-22000000000000
χ2322222222-2-2-2-22-2-2-222-2-22-20022200-2-20000000000-220000000000000000
χ2422222222-2-2-2-22-2-2-222-2-22-200-2-22002200000000002-20000000000000000
χ2522222222-2-2-2-2-2222-2-2-2-2-2222002220000000000-20000-200000000000000
χ2622222222-2-2-2-2-2222-2-2-2-2-22-2-2002-2-2000000000020000200000000000000
χ2722222222-2-2-2-2-222-22222-2-20000-20000000000000200-20-22000000000000
χ2822222222-2-2-2-2-222-22222-2-20000-20000000000000-200202-2000000000000
χ2922-2-2-222-222-2-222-200000-20002-20002-2i2i2−i2−i2i2i2−i2−i2000000000000i2−i2i2−i20000
χ3022-2-2-222-222-2-222-200000-20002-20002-2−i2−i2i2i2−i2−i2i2i2000000000000−i2i2−i2i20000
χ3122-2-2-222-222-2-222-200000-2000-22000-22i2i2−i2−i2i2i2−i2−i2000000000000−i2i2−i2i20000
χ3222-2-2-222-222-2-222-200000-2000-22000-22−i2−i2i2i2−i2−i2i2i2000000000000i2−i2i2−i20000
χ3322-2-2-222-2-2-2222-2200000-20002-2000-22i2i2−i2−i2−i2−i2i2i2000000000000i2−i2−i2i20000
χ3422-2-2-222-2-2-2222-2200000-20002-2000-22−i2−i2i2i2i2i2−i2−i2000000000000−i2i2i2−i20000
χ3522-2-2-222-2-2-2222-2200000-2000-220002-2i2i2−i2−i2−i2−i2i2i2000000000000−i2i2i2−i20000
χ3622-2-2-222-2-2-2222-2200000-2000-220002-2−i2−i2i2i2i2i2−i2−i2000000000000i2−i2−i2i20000
χ37444-4-4-4-440000000400000-4000004i−4i000000000000000000000000000000
χ38444-4-4-4-440000000400000-400000−4i4i000000000000000000000000000000
χ39444-4-4-4-440000000-40000044-400000000000000000000000000000000000
χ40444-4-4-4-440000000-4000004-4400000000000000000000000000000000000
χ4144-4-4-444-444-4-4-4-4400000400000000000000000000000000000000000000
χ4244-4-4-444-4-4-444-44-400000400000000000000000000000000000000000000
χ434-444-44-4-400000000004-40000000000000002i2−2i22i2−2i200000000000000000000
χ444-444-44-4-400000000004-4000000000000000−2i22i2−2i22i200000000000000000000
χ454-444-44-4-40000000000-44000000000002i2−2i22i2−2i2000000000000000000000000
χ464-444-44-4-40000000000-4400000000000−2i22i2−2i22i2000000000000000000000000
χ474-44-44-44-44-44-400000000000000000000000000000000000000000002i−2i2i−2i
χ484-44-44-44-44-44-40000000000000000000000000000000000000000000−2i2i−2i2i
χ494-44-44-44-4-44-4400000000000000000000000000000000000000000002i−2i−2i2i
χ504-44-44-44-4-44-440000000000000000000000000000000000000000000−2i2i2i−2i
χ514-4-44-4-4444-4-44000000000000000000000000000000000002-22-200000000
χ524-4-44-4-4444-4-4400000000000000000000000000000000000-22-2200000000
χ534-4-44-4-444-444-4000000000000000000000000000000000002-2-2200000000
χ544-4-44-4-444-444-400000000000000000000000000000000000-222-200000000
χ554-4-4-444-44000000004-400000000000002-2-222-2-2200000000000000000000
χ564-4-4-444-44000000004-40000000000000-222-2-222-200000000000000000000
χ574-4-4-444-4400000000-4400000000000002-2-22-222-200000000000000000000
χ584-4-4-444-4400000000-440000000000000-222-22-2-2200000000000000000000
χ5988-888-8-8-8000000000000000000000000000000000000000000000000000

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