Finite Group Databasebeta

← Group #232201

Character table — Group #232201

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size1111111122224444888888888888888888881616161611111111222244448888888888888888888816161616
order12222222222244444444444444448888888824442222222222224444444444444444888888882444
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
χ1522-222-2-2-22-2-220000002i−2i00000000i2i2−i2−i222−2−2000022-222-2-2-22-2-220000002i−2i00000000i2i2−i2−i222−2−20000
χ1622-222-2-2-22-2-220000002i−2i00000000−i2−i2i2i2−2−222000022-222-2-2-22-2-220000002i−2i00000000−i2−i2i2i2−2−2220000
χ1722-222-2-2-22-2-22000000−2i2i00000000i2i2−i2−i2−2−222000022-222-2-2-22-2-22000000−2i2i00000000i2i2−i2−i2−2−2220000
χ1822-222-2-2-22-2-22000000−2i2i00000000−i2−i2i2i222−2−2000022-222-2-2-22-2-22000000−2i2i00000000−i2−i2i2i222−2−20000
χ192-222-22-2-2-22-2200002i−2i0000000000i2−i2i2−i22−22−200002-222-22-2-2-22-2200002i−2i0000000000i2−i2i2−i22−22−20000
χ202-222-22-2-2-22-2200002i−2i0000000000−i2i2−i2i2−22−2200002-222-22-2-2-22-2200002i−2i0000000000−i2i2−i2i2−22−220000
χ212-222-22-2-2-22-220000−2i2i0000000000i2−i2i2−i2−22−2200002-222-22-2-2-22-220000−2i2i0000000000i2−i2i2−i2−22−220000
χ222-222-22-2-2-22-220000−2i2i0000000000−i2i2−i2i22−22−200002-222-22-2-2-22-220000−2i2i0000000000−i2i2−i2i22−22−20000
χ232-2-22-2-22222-2-222-2-2000000002i2i−2i−2i0000000000002-2-22-2-22222-2-222-2-2000000002i2i−2i−2i000000000000
χ242-2-22-2-22222-2-222-2-200000000−2i−2i2i2i0000000000002-2-22-2-22222-2-222-2-200000000−2i−2i2i2i000000000000
χ252-2-22-2-22222-2-2-2-222000022-2-200000000000000002-2-22-2-22222-2-2-2-222000022-2-20000000000000000
χ262-2-22-2-22222-2-2-2-2220000-2-22200000000000000002-2-22-2-22222-2-2-2-2220000-2-2220000000000000000
χ272-2-22-2-222-2-2222-2-2200000000000000002-2-2200002-2-22-2-222-2-2222-2-2200000000000000002-2-220000
χ282-2-22-2-222-2-2222-2-220000000000000000-222-200002-2-22-2-222-2-2222-2-220000000000000000-222-20000
χ292-2-22-2-222-2-222-222-20000000000002-2-22000000002-2-22-2-222-2-222-222-20000000000002-2-2200000000
χ302-2-22-2-222-2-222-222-2000000000000-222-2000000002-2-22-2-222-2-222-222-2000000000000-222-200000000
χ31444-4-4-4-4400000000000000002i−2i2i−2i000000000000444-4-4-4-4400000000000000002i−2i2i−2i000000000000
χ32444-4-4-4-440000000000000000−2i2i−2i2i000000000000444-4-4-4-440000000000000000−2i2i−2i2i000000000000
χ3344-444-4-4-4-444-4000000000000000000000000000044-444-4-4-4-444-40000000000000000000000000000
χ3444-4-4-444-40000000000002i−2i2i−2i000000000000000044-4-4-444-40000000000002i−2i2i−2i0000000000000000
χ3544-4-4-444-4000000000000−2i2i−2i2i000000000000000044-4-4-444-4000000000000−2i2i−2i2i0000000000000000
χ364-444-44-4-44-44-400000000000000000000000000004-444-44-4-44-44-40000000000000000000000000000
χ374-44-44-44-40000000000002i−2i−2i2i00000000000000004-44-44-44-40000000000002i−2i−2i2i0000000000000000
χ384-44-44-44-4000000000000−2i2i2i−2i00000000000000004-44-44-44-4000000000000−2i2i2i−2i0000000000000000
χ394-4-4-444-4400000000000000002-2-220000000000004-4-4-444-4400000000000000002-2-22000000000000
χ404-4-4-444-440000000000000000-222-20000000000004-4-4-444-440000000000000000-222-2000000000000
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
χ5522-222-2-2-22-2-220000002i−2i00000000i2i2−i2−i222−2−20000-2-22-2-2222-222-2000000−2i2i00000000−i2−i2i2i2−2−2220000
χ5622-222-2-2-22-2-220000002i−2i00000000−i2−i2i2i2−2−2220000-2-22-2-2222-222-2000000−2i2i00000000i2i2−i2−i222−2−20000
χ5722-222-2-2-22-2-22000000−2i2i00000000i2i2−i2−i2−2−2220000-2-22-2-2222-222-20000002i−2i00000000−i2−i2i2i222−2−20000
χ5822-222-2-2-22-2-22000000−2i2i00000000−i2−i2i2i222−2−20000-2-22-2-2222-222-20000002i−2i00000000i2i2−i2−i2−2−2220000
χ592-222-22-2-2-22-2200002i−2i0000000000i2−i2i2−i22−22−20000-22-2-22-2222-22-20000−2i2i0000000000−i2i2−i2i2−22−220000
χ602-222-22-2-2-22-2200002i−2i0000000000−i2i2−i2i2−22−220000-22-2-22-2222-22-20000−2i2i0000000000i2−i2i2−i22−22−20000
χ612-222-22-2-2-22-220000−2i2i0000000000i2−i2i2−i2−22−220000-22-2-22-2222-22-200002i−2i0000000000−i2i2−i2i22−22−20000
χ622-222-22-2-2-22-220000−2i2i0000000000−i2i2−i2i22−22−20000-22-2-22-2222-22-200002i−2i0000000000i2−i2i2−i2−22−220000
χ632-2-22-2-22222-2-222-2-2000000002i2i−2i−2i000000000000-222-222-2-2-2-222-2-22200000000−2i−2i2i2i000000000000
χ642-2-22-2-22222-2-222-2-200000000−2i−2i2i2i000000000000-222-222-2-2-2-222-2-222000000002i2i−2i−2i000000000000
χ652-2-22-2-22222-2-2-2-222000022-2-20000000000000000-222-222-2-2-2-22222-2-20000-2-2220000000000000000
χ662-2-22-2-22222-2-2-2-2220000-2-2220000000000000000-222-222-2-2-2-22222-2-2000022-2-20000000000000000
χ672-2-22-2-222-2-2222-2-2200000000000000002-2-220000-222-222-2-222-2-2-222-20000000000000000-222-20000
χ682-2-22-2-222-2-2222-2-220000000000000000-222-20000-222-222-2-222-2-2-222-200000000000000002-2-220000
χ692-2-22-2-222-2-222-222-20000000000002-2-2200000000-222-222-2-222-2-22-2-22000000000000-222-200000000
χ702-2-22-2-222-2-222-222-2000000000000-222-200000000-222-222-2-222-2-22-2-220000000000002-2-2200000000
χ71444-4-4-4-4400000000000000002i−2i2i−2i000000000000-4-4-44444-40000000000000000−2i2i−2i2i000000000000
χ72444-4-4-4-440000000000000000−2i2i−2i2i000000000000-4-4-44444-400000000000000002i−2i2i−2i000000000000
χ7344-444-4-4-4-444-40000000000000000000000000000-4-44-4-44444-4-440000000000000000000000000000
χ7444-4-4-444-40000000000002i−2i2i−2i0000000000000000-4-4444-4-44000000000000−2i2i−2i2i0000000000000000
χ7544-4-4-444-4000000000000−2i2i−2i2i0000000000000000-4-4444-4-440000000000002i−2i2i−2i0000000000000000
χ764-444-44-4-44-44-40000000000000000000000000000-44-4-44-444-44-440000000000000000000000000000
χ774-44-44-44-40000000000002i−2i−2i2i0000000000000000-44-44-44-44000000000000−2i2i2i−2i0000000000000000
χ784-44-44-44-4000000000000−2i2i2i−2i0000000000000000-44-44-44-440000000000002i−2i−2i2i0000000000000000
χ794-4-4-444-4400000000000000002-2-22000000000000-4444-4-44-40000000000000000-222-2000000000000
χ804-4-4-444-440000000000000000-222-2000000000000-4444-4-44-400000000000000002-2-22000000000000

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