Finite Group Databasebeta

← Group #239403

Character table — Group #239403

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size1111111122224444888888888888888888881616161611111111222244448888888888888888888816161616
order12222222222244442244444444448888888824442222222222224444224444444444888888882444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1
χ61111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111
χ81111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ9222222222222-2-2-2-222-2-200000000000000000000222222222222-2-2-2-222-2-200000000000000000000
χ10222222222222-2-2-2-2-2-22200000000000000000000222222222222-2-2-2-2-2-22200000000000000000000
χ1122222222-2-2-2-22-22-2000000000000000000002-20022222222-2-2-2-22-22-2000000000000000000002-200
χ1222222222-2-2-2-22-22-200000000000000000000-220022222222-2-2-2-22-22-200000000000000000000-2200
χ1322222222-2-2-2-2-22-2200000000000000000000002-222222222-2-2-2-2-22-2200000000000000000000002-2
χ1422222222-2-2-2-2-22-220000000000000000000000-2222222222-2-2-2-2-22-220000000000000000000000-22
χ15222-2-2-2-2222-2-20000002i−2i0000000022−2−2i2i2−i2−i20000222-2-2-2-2222-2-20000002i−2i0000000022−2−2i2i2−i2−i20000
χ16222-2-2-2-2222-2-20000002i−2i00000000−2−222−i2−i2i2i20000222-2-2-2-2222-2-20000002i−2i00000000−2−222−i2−i2i2i20000
χ17222-2-2-2-2222-2-2000000−2i2i0000000022−2−2−i2−i2i2i20000222-2-2-2-2222-2-2000000−2i2i0000000022−2−2−i2−i2i2i20000
χ18222-2-2-2-2222-2-2000000−2i2i00000000−2−222i2i2−i2−i20000222-2-2-2-2222-2-2000000−2i2i00000000−2−222i2i2−i2−i20000
χ192-2222-2-2-22-22-200002-20000000000i2−i2i2−i2i2−i2i2−i200002-2222-2-2-22-22-200002-20000000000i2−i2i2−i2i2−i2i2−i20000
χ202-2222-2-2-22-22-200002-20000000000−i2i2−i2i2−i2i2−i2i200002-2222-2-2-22-22-200002-20000000000−i2i2−i2i2−i2i2−i2i20000
χ212-2222-2-2-22-22-20000-220000000000i2−i2i2−i2−i2i2−i2i200002-2222-2-2-22-22-20000-220000000000i2−i2i2−i2−i2i2−i2i20000
χ222-2222-2-2-22-22-20000-220000000000−i2i2−i2i2i2−i2i2−i200002-2222-2-2-22-22-20000-220000000000−i2i2−i2i2i2−i2i2−i20000
χ232-22-2-222-22-2-2222-2-20000000000002i−2i−2i2i000000002-22-2-222-22-2-2222-2-20000000000002i−2i−2i2i00000000
χ242-22-2-222-22-2-2222-2-2000000000000−2i2i2i−2i000000002-22-2-222-22-2-2222-2-2000000000000−2i2i2i−2i00000000
χ252-22-2-222-22-2-22-2-22200000000000000002-2-2200002-22-2-222-22-2-22-2-22200000000000000002-2-220000
χ262-22-2-222-22-2-22-2-2220000000000000000-222-200002-22-2-222-22-2-22-2-2220000000000000000-222-20000
χ272-22-2-222-2-222-22-2-2200002i2i−2i−2i00000000000000002-22-2-222-2-222-22-2-2200002i2i−2i−2i0000000000000000
χ282-22-2-222-2-222-22-2-220000−2i−2i2i2i00000000000000002-22-2-222-2-222-22-2-220000−2i−2i2i2i0000000000000000
χ292-22-2-222-2-222-2-222-2000000002i2i−2i−2i0000000000002-22-2-222-2-222-2-222-2000000002i2i−2i−2i000000000000
χ302-22-2-222-2-222-2-222-200000000−2i−2i2i2i0000000000002-22-2-222-2-222-2-222-200000000−2i−2i2i2i000000000000
χ31444-4-4-4-44-4-4440000000000000000000000000000444-4-4-4-44-4-4440000000000000000000000000000
χ3244-44-44-4-40000000000002i−2i2i−2i000000000000000044-44-44-4-40000000000002i−2i2i−2i0000000000000000
χ3344-44-44-4-4000000000000−2i2i−2i2i000000000000000044-44-44-4-4000000000000−2i2i−2i2i0000000000000000
χ3444-4-44-44-400000000000000002i−2i2i−2i00000000000044-4-44-44-400000000000000002i−2i2i−2i000000000000
χ3544-4-44-44-40000000000000000−2i2i−2i2i00000000000044-4-44-44-40000000000000000−2i2i−2i2i000000000000
χ364-4444-4-4-4-44-4400000000000000000000000000004-4444-4-4-4-44-440000000000000000000000000000
χ374-4-44-4-44400000000000000002-2-220000000000004-4-44-4-44400000000000000002-2-22000000000000
χ384-4-44-4-4440000000000000000-222-20000000000004-4-44-4-4440000000000000000-222-2000000000000
χ394-4-4-444-440000000000002-2-2200000000000000004-4-4-444-440000000000002-2-220000000000000000
χ404-4-4-444-44000000000000-222-200000000000000004-4-4-444-44000000000000-222-20000000000000000
χ411111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ421111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ4311111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ4411111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ451111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111
χ461111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1
χ471111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1
χ481111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111
χ49222222222222-2-2-2-222-2-200000000000000000000-2-2-2-2-2-2-2-2-2-2-2-22222-2-22200000000000000000000
χ50222222222222-2-2-2-2-2-22200000000000000000000-2-2-2-2-2-2-2-2-2-2-2-2222222-2-200000000000000000000
χ5122222222-2-2-2-22-22-2000000000000000000002-200-2-2-2-2-2-2-2-22222-22-2200000000000000000000-2200
χ5222222222-2-2-2-22-22-200000000000000000000-2200-2-2-2-2-2-2-2-22222-22-22000000000000000000002-200
χ5322222222-2-2-2-2-22-2200000000000000000000002-2-2-2-2-2-2-2-2-222222-22-20000000000000000000000-22
χ5422222222-2-2-2-2-22-220000000000000000000000-22-2-2-2-2-2-2-2-222222-22-200000000000000000000002-2
χ55222-2-2-2-2222-2-20000002i−2i0000000022−2−2i2i2−i2−i20000-2-2-22222-2-2-222000000−2i2i00000000−2−222−i2−i2i2i20000
χ56222-2-2-2-2222-2-20000002i−2i00000000−2−222−i2−i2i2i20000-2-2-22222-2-2-222000000−2i2i0000000022−2−2i2i2−i2−i20000
χ57222-2-2-2-2222-2-2000000−2i2i0000000022−2−2−i2−i2i2i20000-2-2-22222-2-2-2220000002i−2i00000000−2−222i2i2−i2−i20000
χ58222-2-2-2-2222-2-2000000−2i2i00000000−2−222i2i2−i2−i20000-2-2-22222-2-2-2220000002i−2i0000000022−2−2−i2−i2i2i20000
χ592-2222-2-2-22-22-200002-20000000000i2−i2i2−i2i2−i2i2−i20000-22-2-2-2222-22-220000-220000000000−i2i2−i2i2−i2i2−i2i20000
χ602-2222-2-2-22-22-200002-20000000000−i2i2−i2i2−i2i2−i2i20000-22-2-2-2222-22-220000-220000000000i2−i2i2−i2i2−i2i2−i20000
χ612-2222-2-2-22-22-20000-220000000000i2−i2i2−i2−i2i2−i2i20000-22-2-2-2222-22-2200002-20000000000−i2i2−i2i2i2−i2i2−i20000
χ622-2222-2-2-22-22-20000-220000000000−i2i2−i2i2i2−i2i2−i20000-22-2-2-2222-22-2200002-20000000000i2−i2i2−i2−i2i2−i2i20000
χ632-22-2-222-22-2-2222-2-20000000000002i−2i−2i2i00000000-22-222-2-22-222-2-2-222000000000000−2i2i2i−2i00000000
χ642-22-2-222-22-2-2222-2-2000000000000−2i2i2i−2i00000000-22-222-2-22-222-2-2-2220000000000002i−2i−2i2i00000000
χ652-22-2-222-22-2-22-2-22200000000000000002-2-220000-22-222-2-22-222-222-2-20000000000000000-222-20000
χ662-22-2-222-22-2-22-2-2220000000000000000-222-20000-22-222-2-22-222-222-2-200000000000000002-2-220000
χ672-22-2-222-2-222-22-2-2200002i2i−2i−2i0000000000000000-22-222-2-222-2-22-222-20000−2i−2i2i2i0000000000000000
χ682-22-2-222-2-222-22-2-220000−2i−2i2i2i0000000000000000-22-222-2-222-2-22-222-200002i2i−2i−2i0000000000000000
χ692-22-2-222-2-222-2-222-2000000002i2i−2i−2i000000000000-22-222-2-222-2-222-2-2200000000−2i−2i2i2i000000000000
χ702-22-2-222-2-222-2-222-200000000−2i−2i2i2i000000000000-22-222-2-222-2-222-2-22000000002i2i−2i−2i000000000000
χ71444-4-4-4-44-4-4440000000000000000000000000000-4-4-44444-444-4-40000000000000000000000000000
χ7244-44-44-4-40000000000002i−2i2i−2i0000000000000000-4-44-44-444000000000000−2i2i−2i2i0000000000000000
χ7344-44-44-4-4000000000000−2i2i−2i2i0000000000000000-4-44-44-4440000000000002i−2i2i−2i0000000000000000
χ7444-4-44-44-400000000000000002i−2i2i−2i000000000000-4-444-44-440000000000000000−2i2i−2i2i000000000000
χ7544-4-44-44-40000000000000000−2i2i−2i2i000000000000-4-444-44-4400000000000000002i−2i2i−2i000000000000
χ764-4444-4-4-4-44-440000000000000000000000000000-44-4-4-44444-44-40000000000000000000000000000
χ774-4-44-4-44400000000000000002-2-22000000000000-444-444-4-40000000000000000-222-2000000000000
χ784-4-44-4-4440000000000000000-222-2000000000000-444-444-4-400000000000000002-2-22000000000000
χ794-4-4-444-440000000000002-2-220000000000000000-4444-4-44-4000000000000-222-20000000000000000
χ804-4-4-444-44000000000000-222-20000000000000000-4444-4-44-40000000000002-2-220000000000000000

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