Finite Group Databasebeta

← Group #296663

Character table — Group #296663

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size11111111222222222222222244444444444444444444444444888888888888888888161616161616161616163232
order12222222444444444444444444444444448888888888888888222222444488888888444444888844
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
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
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111-1-1-1-1111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1
χ61111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ71111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111111-1-1
χ91111111111111-1-1-1-1-1-1-1-1111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11-111-1-111-1-11-1
χ101111111111111-1-1-1-1-1-1-1-1111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-11-1-111-1-111-11
χ111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111-1-1-1-111111-111-1-1-1-111-11
χ121111111111111-1-1-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-1-11111-11-1-11111-1-11-1
χ131111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-111111-1-1-11111-1-1-11
χ141111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1111-1-1-1-1111-1
χ151111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-111-1-11111-1-1-1-11-1-1-111-1-1111-1
χ161111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-11111-1-11111-1-1-1-1-1111-1-111-1-1-11
χ172222222222-2-2-22222222222-2-2-2-2-20000-2-20000000000000000002222000000000000-2-20000000000
χ182222222222-2-2-22222222222-2-2-2-2-20000-2-2000000000000000000-2-2-2-2000000000000220000000000
χ192222222222-2-2-2-2-2-2-2-2-2-2-222-222220000-2-200000000000000000022-2-2000000000000-220000000000
χ202222222222-2-2-2-2-2-2-2-2-2-2-222-222220000-2-2000000000000000000-2-2220000000000002-20000000000
χ2122222222-2-22222222-2-2-2-2-2-2222-2-22222-2-20000000000000000220000-2-2-2-200000000000000000000
χ2222222222-2-22222222-2-2-2-2-2-2222-2-2-2-2-2-2-2-20000000000000000-2-20000222200000000000000000000
χ2322222222-2-2222-2-2-2-22222-2-22-2-2222222-2-20000000000000000-2-2000022-2-200000000000000000000
χ2422222222-2-2222-2-2-2-22222-2-22-2-222-2-2-2-2-2-20000000000000000220000-2-22200000000000000000000
χ2522222222-2-2-2-2-22222-2-2-2-2-2-2-2-2-2220000220000000000000000000000000000000000002-22-2000000
χ2622222222-2-2-2-2-22222-2-2-2-2-2-2-2-2-222000022000000000000000000000000000000000000-22-22000000
χ2722222222-2-2-2-2-2-2-2-2-22222-2-2-222-2-20000220000000000000000000000000000000000002-2-22000000
χ2822222222-2-2-2-2-2-2-2-2-22222-2-2-222-2-2000022000000000000000000000000000000000000-222-2000000
χ2922-2-222-2-22-22-2-2000000002-2200002i2i−2i−2i2-2000000002222-2-2-2-2000000002i−2i00002i2i−2i−2i000000000000
χ3022-2-222-2-22-22-2-2000000002-2200002i2i−2i−2i2-200000000-2-2-2-22222000000002i−2i0000−2i−2i2i2i000000000000
χ3122-2-222-2-22-22-2-2000000002-220000−2i−2i2i2i2-2000000002222-2-2-2-200000000−2i2i0000−2i−2i2i2i000000000000
χ3222-2-222-2-22-22-2-2000000002-220000−2i−2i2i2i2-200000000-2-2-2-2222200000000−2i2i00002i2i−2i−2i000000000000
χ3322-2-222-2-2-222-2-200000000-22200002i2i−2i−2i-222222-2-2-2-20000000000000000−2i2i2i2i−2i−2i0000000000000000
χ3422-2-222-2-2-222-2-200000000-22200002i2i−2i−2i-22-2-2-2-222220000000000000000−2i2i−2i−2i2i2i0000000000000000
χ3522-2-222-2-2-222-2-200000000-2220000−2i−2i2i2i-222222-2-2-2-200000000000000002i−2i−2i−2i2i2i0000000000000000
χ3622-2-222-2-2-222-2-200000000-2220000−2i−2i2i2i-22-2-2-2-2222200000000000000002i−2i2i2i−2i−2i0000000000000000
χ372-22-2-222-20022-2000022-2-200-2002-22i−2i2i−2i00i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i20000002i−2i002−22−22−22−2000000000000
χ382-22-2-222-20022-2000022-2-200-2002-22i−2i2i−2i00−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i20000002i−2i00−22−22−22−22000000000000
χ392-22-2-222-20022-2000022-2-200-2002-2−2i2i−2i2i00i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2000000−2i2i00−22−22−22−22000000000000
χ402-22-2-222-20022-2000022-2-200-2002-2−2i2i−2i2i00−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2000000−2i2i002−22−22−22−2000000000000
χ412-22-2-222-20022-20000-2-22200-200-222i−2i2i−2i00i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2000000−2i2i002−22−2−22−22000000000000
χ422-22-2-222-20022-20000-2-22200-200-222i−2i2i−2i00−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2000000−2i2i00−22−222−22−2000000000000
χ432-22-2-222-20022-20000-2-22200-200-22−2i2i−2i2i00i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i20000002i−2i00−22−222−22−2000000000000
χ442-22-2-222-20022-20000-2-22200-200-22−2i2i−2i2i00−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i20000002i−2i002−22−2−22−22000000000000
χ452-2-22-22-22002-2222-2-2000000-22-2002-2-2200i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i22-200000000−i2i2i2−i2−i2i2i2−i2000000000000
χ462-2-22-22-22002-2222-2-2000000-22-2002-2-2200−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i22-200000000i2−i2−i2i2i2−i2−i2i2000000000000
χ472-2-22-22-22002-2222-2-2000000-22-200-222-200i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2-2200000000i2−i2−i2i2i2−i2−i2i2000000000000
χ482-2-22-22-22002-2222-2-2000000-22-200-222-200−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2-2200000000−i2i2i2−i2−i2i2i2−i2000000000000
χ492-2-22-22-22002-22-2-222000000-2-22002-2-2200i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2-2200000000−i2i2i2−i2i2−i2−i2i2000000000000
χ502-2-22-22-22002-22-2-222000000-2-22002-2-2200−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2-2200000000i2−i2−i2i2−i2i2i2−i2000000000000
χ512-2-22-22-22002-22-2-222000000-2-2200-222-200i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i22-200000000i2−i2−i2i2−i2i2i2−i2000000000000
χ522-2-22-22-22002-22-2-222000000-2-2200-222-200−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i22-200000000−i2i2i2−i2i2−i2−i2i2000000000000
χ532-2-2-22-222-2-20002-22-22-22-222000000000002−22−22−22−22−22−22−22−2002-22-20000000000000000002−22−200
χ542-2-2-22-222-2-20002-22-22-22-222000000000002−22−22−22−22−22−22−22−200-22-22000000000000000000−22−2200
χ552-2-2-22-222-2-20002-22-22-22-22200000000000−22−22−22−22−22−22−22−22002-22-2000000000000000000−22−2200
χ562-2-2-22-222-2-20002-22-22-22-22200000000000−22−22−22−22−22−22−22−2200-22-220000000000000000002−22−200
χ572-2-2-22-222-2-2000-22-22-22-2222000000000002−22−22−22−2−22−22−22−22002-2-220000000000000000002−2−2200
χ582-2-2-22-222-2-2000-22-22-22-2222000000000002−22−22−22−2−22−22−22−2200-222-2000000000000000000−222−200
χ592-2-2-22-222-2-2000-22-22-22-222200000000000−22−22−22−222−22−22−22−2002-2-22000000000000000000−222−200
χ602-2-2-22-222-2-2000-22-22-22-222200000000000−22−22−22−222−22−22−22−200-222-20000000000000000002−2−2200
χ61444-4-4-4-44000004-4-44000000000000000002i−2i−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i000000000000000000000000000000
χ62444-4-4-4-44000004-4-4400000000000000000−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i2i−2i−2i2i000000000000000000000000000000
χ63444-4-4-4-4400000-444-4000000000000000002i−2i−2i2i−2i2i2i−2i−2i2i2i−2i2i−2i−2i2i000000000000000000000000000000
χ64444-4-4-4-4400000-444-400000000000000000−2i2i2i−2i2i−2i−2i2i2i−2i−2i2i−2i2i2i−2i000000000000000000000000000000
χ6544-44-4-44-40000000004-4-4400000000000002i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i000000000000000000000000000000
χ6644-44-4-44-40000000004-4-440000000000000−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i000000000000000000000000000000
χ6744-44-4-44-4000000000-444-400000000000002i−2i−2i2i2i−2i−2i2i−2i2i2i−2i−2i2i2i−2i000000000000000000000000000000
χ6844-44-4-44-4000000000-444-40000000000000−2i2i2i−2i−2i2i2i−2i2i−2i−2i2i2i−2i−2i2i000000000000000000000000000000
χ6944-4-444-4-44-4-444000000004-4-400000000-440000000000000000000000000000000000000000000000
χ7044-4-444-4-4-44-44400000000-44-4000000004-40000000000000000000000000000000000000000000000
χ714-4444-4-4-44-400000000000-440000000000022−2222−22−2222−222200000000000000000000000000000000000000
χ724-4444-4-4-44-400000000000-4400000000000−2222−222222−2222−2200000000000000000000000000000000000000
χ734-4444-4-4-4-44000000000004-4000000000000000000022−2222−22−2222−2222000000000000000000000000000000
χ744-4444-4-4-4-44000000000004-40000000000000000000−2222−222222−2222−22000000000000000000000000000000
χ754-44-4-444-400-4-44000044-4-400400-440000000000000000000000000000000000000000000000000000
χ764-44-4-444-400-4-440000-4-444004004-40000000000000000000000000000000000000000000000000000
χ774-4-44-44-4400-44-444-4-40000004-44000000000000000000000000000000000000000000000000000000
χ784-4-44-44-4400-44-4-4-44400000044-4000000000000000000000000000000000000000000000000000000
χ794-4-4-44-444440004-44-4-44-44-4-4000000000000000000000000000000000000000000000000000000000
χ804-4-4-44-44444000-44-444-44-4-4-4000000000000000000000000000000000000000000000000000000000

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