Finite Group Databasebeta

← Group #302371

Character table — Group #302371

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size11111111222222222222222244444444444444444444444444888888888888888888161616161616161616163232
order12222222444444444444444444444444448888888888888888444444444488888888444444888844
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1
χ611111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ711111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111
χ811111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111111-1-1
χ91111111111111-1-1-1-1-1-1-1-1111-1-11111-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-11-111-1-111-1-11-1
χ101111111111111-1-1-1-1-1-1-1-1111-1-11111-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-11-1-111-1-111-11
χ111111111111111-1-1-1-1-1-1-1-1111-1-11111-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-111111-111-1-1-1-111-11
χ121111111111111-1-1-1-1-1-1-1-1111-1-11111-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-11111-11-1-11111-1-11-1
χ131111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111-1-1-11111-1-1-11
χ141111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1111-1-1-1-1111-1
χ151111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1111111-1-11111-1-1-1-11-1-1-111-1-1111-1
χ161111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-1111111-1-1-1-1-1111-1-111-1-1-11
χ172222222222-2-2-22222222222-2-2-20000-2-2-2-20000000000000000000000222200000000-2-20000000000
χ182222222222-2-2-22222222222-2-2-20000-2-2-2-20000000000000000000000-2-2-2-200000000220000000000
χ192222222222-2-2-2-2-2-2-2-2-2-2-222-222000022-2-2000000000000000000000022-2-200000000-220000000000
χ202222222222-2-2-2-2-2-2-2-2-2-2-222-222000022-2-20000000000000000000000-2-222000000002-20000000000
χ2122222222-2-22222222-2-2-2-2-2-22-2-2222222-2-20000000000000000-2-222-2-2000000000000000000000000
χ2222222222-2-22222222-2-2-2-2-2-22-2-2-2-2-2-222-2-2000000000000000022-2-222000000000000000000000000
χ2322222222-2-2222-2-2-2-22222-2-22222222-2-2-2-20000000000000000-2-2-2-222000000000000000000000000
χ2422222222-2-2222-2-2-2-22222-2-2222-2-2-2-2-2-2-2-200000000000000002222-2-2000000000000000000000000
χ2522222222-2-2-2-2-22222-2-2-2-2-2-2-2220000-2-2220000000000000000000000000000000000002-22-2000000
χ2622222222-2-2-2-2-22222-2-2-2-2-2-2-2220000-2-222000000000000000000000000000000000000-22-22000000
χ2722222222-2-2-2-2-2-2-2-2-22222-2-2-2-2-2000022220000000000000000000000000000000000002-2-22000000
χ2822222222-2-2-2-2-2-2-2-2-22222-2-2-2-2-200002222000000000000000000000000000000000000-222-2000000
χ292222-2-2-2-22-222-2000000002-2-20022-2-2002-2000000002222-2-2-2-22-200000000000022-2-2000000000000
χ302222-2-2-2-22-222-2000000002-2-20022-2-2002-200000000-2-2-2-222222-2000000000000-2-222000000000000
χ312222-2-2-2-22-222-2000000002-2-200-2-222002-2000000002222-2-2-2-2-22000000000000-2-222000000000000
χ322222-2-2-2-22-222-2000000002-2-200-2-222002-200000000-2-2-2-22222-2200000000000022-2-2000000000000
χ332222-2-2-2-2-2222-200000000-22-20022-2-200-222222-2-2-2-200000000-220000000022-2-20000000000000000
χ342222-2-2-2-2-2222-200000000-22-20022-2-200-22-2-2-2-2222200000000-2200000000-2-2220000000000000000
χ352222-2-2-2-2-2222-200000000-22-200-2-22200-222222-2-2-2-2000000002-200000000-2-2220000000000000000
χ362222-2-2-2-2-2222-200000000-22-200-2-22200-22-2-2-2-22222000000002-20000000022-2-20000000000000000
χ3722-2-2-22-222200022-2-222-2-2-2-20000000000022−2−222−2−222−2−222−2−20000002i−2i2i−2i00000000000000i2−i2i2−i200
χ3822-2-2-22-222200022-2-222-2-2-2-20000000000022−2−222−2−222−2−222−2−2000000−2i2i−2i2i00000000000000−i2i2−i2i200
χ3922-2-2-22-222200022-2-222-2-2-2-200000000000−2−222−2−222−2−222−2−2220000002i−2i2i−2i00000000000000−i2i2−i2i200
χ4022-2-2-22-222200022-2-222-2-2-2-200000000000−2−222−2−222−2−222−2−222000000−2i2i−2i2i00000000000000i2−i2i2−i200
χ4122-2-2-22-2222000-2-222-2-222-2-20000000000022−2−222−2−2−2−222−2−2220000002i−2i−2i2i00000000000000i2−i2−i2i200
χ4222-2-2-22-2222000-2-222-2-222-2-20000000000022−2−222−2−2−2−222−2−222000000−2i2i2i−2i00000000000000−i2i2i2−i200
χ4322-2-2-22-2222000-2-222-2-222-2-200000000000−2−222−2−22222−2−222−2−20000002i−2i−2i2i00000000000000−i2i2i2−i200
χ4422-2-2-22-2222000-2-222-2-222-2-200000000000−2−222−2−22222−2−222−2−2000000−2i2i2i−2i00000000000000i2−i2−i2i200
χ452-22-22-2-22002-2200002-22-200-22-22i−2i2i−2i00002−22−22−22−22−22−22−22−200002i−2i0000i2−i2i2−i2i2−i2i2−i2000000000000
χ462-22-22-2-22002-2200002-22-200-22-22i−2i2i−2i0000−22−22−22−22−22−22−22−2200002i−2i0000−i2i2−i2i2−i2i2−i2i2000000000000
χ472-22-22-2-22002-2200002-22-200-22-2−2i2i−2i2i00002−22−22−22−22−22−22−22−20000−2i2i0000−i2i2−i2i2−i2i2−i2i2000000000000
χ482-22-22-2-22002-2200002-22-200-22-2−2i2i−2i2i0000−22−22−22−22−22−22−22−220000−2i2i0000i2−i2i2−i2i2−i2i2−i2000000000000
χ492-22-22-2-22002-220000-22-2200-2-222i−2i2i−2i00002−22−22−22−2−22−22−22−220000−2i2i0000i2−i2i2−i2−i2i2−i2i2000000000000
χ502-22-22-2-22002-220000-22-2200-2-222i−2i2i−2i0000−22−22−22−222−22−22−22−20000−2i2i0000−i2i2−i2i2i2−i2i2−i2000000000000
χ512-22-22-2-22002-220000-22-2200-2-22−2i2i−2i2i00002−22−22−22−2−22−22−22−2200002i−2i0000−i2i2−i2i2i2−i2i2−i2000000000000
χ522-22-22-2-22002-220000-22-2200-2-22−2i2i−2i2i0000−22−22−22−222−22−22−22−200002i−2i0000i2−i2i2−i2−i2i2−i2i2000000000000
χ532-22-2-222-2002-2-22-22-20000002002i−2i−2i2i2-2002−22−2−22−222−22−2−22−22002i−2i000000i2−i2−i2i2i2−i2−i2i2000000000000
χ542-22-2-222-2002-2-22-22-20000002002i−2i−2i2i2-200−22−222−22−2−22−222−22−2002i−2i000000−i2i2i2−i2−i2i2i2−i2000000000000
χ552-22-2-222-2002-2-22-22-2000000200−2i2i2i−2i2-2002−22−2−22−222−22−2−22−2200−2i2i000000−i2i2i2−i2−i2i2i2−i2000000000000
χ562-22-2-222-2002-2-22-22-2000000200−2i2i2i−2i2-200−22−222−22−2−22−222−22−200−2i2i000000i2−i2−i2i2i2−i2−i2i2000000000000
χ572-22-2-222-2002-2-2-22-220000002002i−2i−2i2i-22002−22−2−22−22−22−222−22−200−2i2i000000i2−i2−i2i2−i2i2i2−i2000000000000
χ582-22-2-222-2002-2-2-22-220000002002i−2i−2i2i-2200−22−222−22−22−22−2−22−2200−2i2i000000−i2i2i2−i2i2−i2−i2i2000000000000
χ592-22-2-222-2002-2-2-22-22000000200−2i2i2i−2i-22002−22−2−22−22−22−222−22−2002i−2i000000−i2i2i2−i2i2−i2−i2i2000000000000
χ602-22-2-222-2002-2-2-22-22000000200−2i2i2i−2i-2200−22−222−22−22−22−2−22−22002i−2i000000i2−i2−i2i2−i2i2i2−i2000000000000
χ614444-4-4-4-44-4-4-44000000004-4400000000-440000000000000000000000000000000000000000000000
χ624444-4-4-4-4-44-4-4400000000-444000000004-40000000000000000000000000000000000000000000000
χ6344-4-44-44-44-400000000000-4400000000000000000002222−22−22−22−222222000000000000000000000000000000
χ6444-4-44-44-44-400000000000-440000000000000000000−22−2222222222−22−22000000000000000000000000000000
χ6544-4-44-44-4-44000000000004-4000000000002222−22−22−22−22222200000000000000000000000000000000000000
χ6644-4-44-44-4-44000000000004-400000000000−22−2222222222−22−2200000000000000000000000000000000000000
χ6744-4-4-44-44-4-400044-4-4-4-44444000000000000000000000000000000000000000000000000000000000
χ6844-4-4-44-44-4-4000-4-44444-4-444000000000000000000000000000000000000000000000000000000000
χ694-44-44-4-4400-44-400004-44-4004-44000000000000000000000000000000000000000000000000000000
χ704-44-44-4-4400-44-40000-44-440044-4000000000000000000000000000000000000000000000000000000
χ714-44-4-444-400-4444-44-4000000-4000000-44000000000000000000000000000000000000000000000000
χ724-44-4-444-400-444-44-44000000-40000004-4000000000000000000000000000000000000000000000000
χ734-4-4444-4-4000004-4-44000000000000000002-2-22-222-22-2-22-222-2000000000000000000000000000000
χ744-4-4444-4-4000004-4-4400000000000000000-222-22-2-22-222-22-2-22000000000000000000000000000000
χ754-4-4444-4-400000-444-4000000000000000002-2-22-222-2-222-22-2-22000000000000000000000000000000
χ764-4-4444-4-400000-444-400000000000000000-222-22-2-222-2-22-222-2000000000000000000000000000000
χ774-4-44-4-4440000000004-4-4400000000000002-2-222-2-222-2-222-2-22000000000000000000000000000000
χ784-4-44-4-4440000000004-4-440000000000000-222-2-222-2-222-2-222-2000000000000000000000000000000
χ794-4-44-4-444000000000-444-400000000000002-2-222-2-22-222-2-222-2000000000000000000000000000000
χ804-4-44-4-444000000000-444-40000000000000-222-2-222-22-2-222-2-22000000000000000000000000000000

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