Finite Group Databasebeta

← Group #346321

Character table — Group #346321

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size111111112222222244444444444444888888888888888888888816161616161616161616161616161616
order12222222222222222222222222444444444444444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ6111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ7111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111
χ8111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1
χ91111111111-1-1-1-111-1-11111-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-1
χ101111111111-1-1-1-111-1-11111-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-111
χ111111111111-1-1-1-111-1-11111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-111-1-111
χ121111111111-1-1-1-111-1-11111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-111-1-1
χ131111111111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111
χ141111111111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1
χ151111111111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1-1-111-1-11111-1-1
χ161111111111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-11111-1-111-1-1-1-111
χ1722222222222222222222222222-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000
χ18222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2222200000000000000000000000000000000
χ192222222222-2-2-2-222-2-22222-2-2-2-2-2-2-2-222-2-22200000000000000000000000000000000
χ202222222222-2-2-2-222-2-2-2-2-2-22222-2-2-2-22222-2-200000000000000000000000000000000
χ2122222222-2-22222-2-2-2-20000000022-2-22-200000000000022-2-222-2-20000000000000000
χ2222222222-2-22222-2-2-2-20000000022-2-22-2000000000000-2-222-2-2220000000000000000
χ2322222222-2-22222-2-2-2-200000000-2-222-22000022-2-222-2-2000000000000000000000000
χ2422222222-2-22222-2-2-2-200000000-2-222-220000-2-222-2-222000000000000000000000000
χ2522222222-2-2-2-2-2-2-2-2220000000022-2-2-2200000000000022-2-2-2-2220000000000000000
χ2622222222-2-2-2-2-2-2-2-2220000000022-2-2-22000000000000-2-22222-2-20000000000000000
χ2722222222-2-2-2-2-2-2-2-22200000000-2-2222-2000022-2-2-2-222000000000000000000000000
χ2822222222-2-2-2-2-2-2-2-22200000000-2-2222-20000-2-22222-2-2000000000000000000000000
χ2922-2-222-2-2-2-222-2-2222-222-2-222-2-20000000000000000000000000000000000i2−i2i2−i2i2−i2i2−i2
χ3022-2-222-2-2-2-222-2-2222-222-2-222-2-20000000000000000000000000000000000−i2i2−i2i2−i2i2−i2i2
χ3122-2-222-2-2-2-222-2-2222-2-2-222-2-2220000000000000000000000000000000000i2−i2i2−i2−i2i2−i2i2
χ3222-2-222-2-2-2-222-2-2222-2-2-222-2-2220000000000000000000000000000000000−i2i2−i2i2i2−i2i2−i2
χ3322-2-222-2-2-2-2-2-22222-2222-2-2-2-2220000000000000000000000000000000000i2−i2−i2i2i2−i2−i2i2
χ3422-2-222-2-2-2-2-2-22222-2222-2-2-2-2220000000000000000000000000000000000−i2i2i2−i2−i2i2i2−i2
χ3522-2-222-2-2-2-2-2-22222-22-2-22222-2-20000000000000000000000000000000000i2−i2−i2i2−i2i2i2−i2
χ3622-2-222-2-2-2-2-2-22222-22-2-22222-2-20000000000000000000000000000000000−i2i2i2−i2i2−i2−i2i2
χ372-2-2-22-2222-200002-20000002-22-22-22-200002-200002-22-22-22-200000000000000000000
χ382-2-2-22-2222-200002-20000002-22-22-22-200002-20000-22-22-22-2200000000000000000000
χ392-2-2-22-2222-200002-20000002-22-2-22-220000-222-22-2000000002-22-20000000000000000
χ402-2-2-22-2222-200002-20000002-22-2-22-220000-22-22-2200000000-22-220000000000000000
χ412-2-2-22-2222-200002-2000000-22-222-22-20000-2200002-22-2-22-2200000000000000000000
χ422-2-2-22-2222-200002-2000000-22-222-22-20000-220000-22-222-22-200000000000000000000
χ432-2-2-22-2222-200002-2000000-22-22-22-2200002-22-22-200000000-22-220000000000000000
χ442-2-2-22-2222-200002-2000000-22-22-22-2200002-2-22-22000000002-22-20000000000000000
χ452-2-2-22-222-220000-22002-22-200002-2-22002-2002-2-2200002-2-2200000000000000000000
χ462-2-2-22-222-220000-22002-22-200002-2-22002-200-222-20000-222-200000000000000000000
χ472-2-2-22-222-220000-22002-22-20000-222-200-220000002-2-2200002-2-220000000000000000
χ482-2-2-22-222-220000-22002-22-20000-222-200-22000000-222-20000-222-20000000000000000
χ492-2-2-22-222-220000-2200-22-2200002-2-2200-22002-2-220000-222-200000000000000000000
χ502-2-2-22-222-220000-2200-22-2200002-2-2200-2200-222-200002-2-2200000000000000000000
χ512-2-2-22-222-220000-2200-22-220000-222-2002-20000002-2-220000-222-20000000000000000
χ522-2-2-22-222-220000-2200-22-220000-222-2002-2000000-222-200002-2-220000000000000000
χ53444-4-4-44-4004-44-4000000000000000000000000000000000000002i−2i2i−2i000000000000
χ54444-4-4-44-4004-44-400000000000000000000000000000000000000−2i2i−2i2i000000000000
χ55444-4-4-44-400-44-44000000000000000000000000000000000000002i−2i−2i2i000000000000
χ56444-4-4-44-400-44-4400000000000000000000000000000000000000−2i2i2i−2i000000000000
χ5744-44-4-4-44004-4-440000000000000000000000000000000000000000002i−2i2i−2i00000000
χ5844-44-4-4-44004-4-44000000000000000000000000000000000000000000−2i2i−2i2i00000000
χ5944-44-4-4-4400-444-40000000000000000000000000000000000000000002i−2i−2i2i00000000
χ6044-44-4-4-4400-444-4000000000000000000000000000000000000000000−2i2i2i−2i00000000
χ6144-4-444-4-44444-4-4-4-4-4400000000000000000000000000000000000000000000000000
χ6244-4-444-4-444-4-444-4-44-400000000000000000000000000000000000000000000000000
χ634-4444-4-4-44-40000-44004-4-440000000000000000000000000000000000000000000000
χ644-4444-4-4-44-40000-4400-444-40000000000000000000000000000000000000000000000
χ654-4444-4-4-4-4400004-40000004-4-44000000000000000000000000000000000000000000
χ664-4444-4-4-4-4400004-4000000-444-4000000000000000000000000000000000000000000
χ678-88-8-88-88000000000000000000000000000000000000000000000000000000000000
χ688-8-88-888-8000000000000000000000000000000000000000000000000000000000000

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