Finite Group Databasebeta

← Group #512210

Character table — Group #512210

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size1111111122222222222222222222222222224444444444444444444444444444444444444444444444443232323232323232
order1222222244444444444488888888888888882244444488888888161616161616161616161616161616161616161616161616161616161616161622444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ5111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-11-1
χ6111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-11
χ7111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-11-111-1
χ8111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-111-11-1-11
χ91111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-1-11-11
χ101111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-111-11-1
χ111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-1-111-1-11
χ121111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-111-1-111-1
χ131111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ141111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ151111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-111-1-1
χ161111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111-1-111
χ1722222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-20000000000000000000000000000000000000000
χ1822222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222220000000000000000000000000000000000000000
χ192222222222-2-2-2-2-2-2-2-222-2-2-2-222222222-2-2-2-22222-2-2-2-2-2-2-2-222220000000000000000000000000000000000000000
χ202222222222-2-2-2-2-2-2-2-222-2-2-2-222222222-2-2-2-2-2-2-2-222222222-2-2-2-20000000000000000000000000000000000000000
χ2122222222-2-22222-2-2-2-2-2-2000000000000000022-2-222-2-2000000002222−2−2−2−22222−2−2−2−22222−2−2−2−22222−2−2−2−200000000
χ2222222222-2-22222-2-2-2-2-2-2000000000000000022-2-222-2-200000000−2−2−2−22222−2−2−2−22222−2−2−2−22222−2−2−2−2222200000000
χ2322222222-2-22222-2-2-2-2-2-20000000000000000-2-222-2-222000000002222−2−2−2−22222−2−2−2−2−2−2−2−22222−2−2−2−2222200000000
χ2422222222-2-22222-2-2-2-2-2-20000000000000000-2-222-2-22200000000−2−2−2−22222−2−2−2−222222222−2−2−2−22222−2−2−2−200000000
χ2522222222-2-2-2-2-2-22222-2-2000000000000000022-2-2-2-222000000002222−2−2−2−2−2−2−2−222222222−2−2−2−2−2−2−2−2222200000000
χ2622222222-2-2-2-2-2-22222-2-2000000000000000022-2-2-2-22200000000−2−2−2−222222222−2−2−2−2−2−2−2−222222222−2−2−2−200000000
χ2722222222-2-2-2-2-2-22222-2-20000000000000000-2-22222-2-2000000002222−2−2−2−2−2−2−2−22222−2−2−2−222222222−2−2−2−200000000
χ2822222222-2-2-2-2-2-22222-2-20000000000000000-2-22222-2-200000000−2−2−2−222222222−2−2−2−22222−2−2−2−2−2−2−2−2222200000000
χ29222-2-2-2-222-2000000002-200002222-2-2-2-200002-22-20000000022-2-2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i200000000
χ30222-2-2-2-222-2000000002-200002222-2-2-2-200002-22-20000000022-2-2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i200000000
χ31222-2-2-2-222-2000000002-200002222-2-2-2-20000-22-2200000000-2-222i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i200000000
χ32222-2-2-2-222-2000000002-200002222-2-2-2-20000-22-2200000000-2-222−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i200000000
χ33222-2-2-2-222-2000000002-20000-2-2-2-2222200002-22-200000000-2-222i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i200000000
χ34222-2-2-2-222-2000000002-20000-2-2-2-2222200002-22-200000000-2-222−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i200000000
χ35222-2-2-2-222-2000000002-20000-2-2-2-222220000-22-220000000022-2-2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i200000000
χ36222-2-2-2-222-2000000002-20000-2-2-2-222220000-22-220000000022-2-2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i200000000
χ37222-2-2-2-22-2200000000-2222-2-20000000022-2-22-2-22000022-2-20000000000002i2i−2i−2i−2i−2i2i2i000000002i2i−2i−2i−2i−2i2i2i00000000
χ38222-2-2-2-22-2200000000-2222-2-20000000022-2-22-2-22000022-2-2000000000000−2i−2i2i2i2i2i−2i−2i00000000−2i−2i2i2i2i2i−2i−2i00000000
χ39222-2-2-2-22-2200000000-2222-2-20000000022-2-2-222-20000-2-2220000000000002i2i−2i−2i−2i−2i2i2i00000000−2i−2i2i2i2i2i−2i−2i00000000
χ40222-2-2-2-22-2200000000-2222-2-20000000022-2-2-222-20000-2-222000000000000−2i−2i2i2i2i2i−2i−2i000000002i2i−2i−2i−2i−2i2i2i00000000
χ41222-2-2-2-22-2200000000-22-2-22200000000-2-2222-2-220000-2-22200002i2i−2i−2i−2i−2i2i2i000000002i2i−2i−2i−2i−2i2i2i0000000000000000
χ42222-2-2-2-22-2200000000-22-2-22200000000-2-2222-2-220000-2-2220000−2i−2i2i2i2i2i−2i−2i00000000−2i−2i2i2i2i2i−2i−2i0000000000000000
χ43222-2-2-2-22-2200000000-22-2-22200000000-2-222-222-2000022-2-200002i2i−2i−2i−2i−2i2i2i00000000−2i−2i2i2i2i2i−2i−2i0000000000000000
χ44222-2-2-2-22-2200000000-22-2-22200000000-2-222-222-2000022-2-20000−2i−2i2i2i2i2i−2i−2i000000002i2i−2i−2i−2i−2i2i2i0000000000000000
χ452-2222-2-2-22-22i2i−2i−2i2i2i−2i−2i-2222-2-22i2i−2i−2i2i2i−2i−2i-2-222000000000000000000000000000000002i−2i2i−2i2i−2i2i−2i2-22-22-22-200000000
χ462-2222-2-2-22-22i2i−2i−2i2i2i−2i−2i-2222-2-22i2i−2i−2i2i2i−2i−2i-2-22200000000000000000000000000000000−2i2i−2i2i−2i2i−2i2i-22-22-22-2200000000
χ472-2222-2-2-22-22i2i−2i−2i2i2i−2i−2i-22-2-222−2i−2i2i2i−2i−2i2i2i22-2-200000000000000002-22-22-22-22i−2i2i−2i2i−2i2i−2i000000000000000000000000
χ482-2222-2-2-22-22i2i−2i−2i2i2i−2i−2i-22-2-222−2i−2i2i2i−2i−2i2i2i22-2-20000000000000000-22-22-22-22−2i2i−2i2i−2i2i−2i2i000000000000000000000000
χ492-2222-2-2-22-2−2i−2i2i2i−2i−2i2i2i-2222-2-2−2i−2i2i2i−2i−2i2i2i-2-222000000000000000000000000000000002i−2i2i−2i2i−2i2i−2i-22-22-22-2200000000
χ502-2222-2-2-22-2−2i−2i2i2i−2i−2i2i2i-2222-2-2−2i−2i2i2i−2i−2i2i2i-2-22200000000000000000000000000000000−2i2i−2i2i−2i2i−2i2i2-22-22-22-200000000
χ512-2222-2-2-22-2−2i−2i2i2i−2i−2i2i2i-22-2-2222i2i−2i−2i2i2i−2i−2i22-2-200000000000000002-22-22-22-2−2i2i−2i2i−2i2i−2i2i000000000000000000000000
χ522-2222-2-2-22-2−2i−2i2i2i−2i−2i2i2i-22-2-2222i2i−2i−2i2i2i−2i−2i22-2-20000000000000000-22-22-22-222i−2i2i−2i2i−2i2i−2i000000000000000000000000
χ532-2222-2-2-2-222i2i−2i−2i−2i−2i2i2i2-20000000000000000000000002i−2i2i−2i2-22-22−22−2−22−22i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i22−22−2−22−2200000000
χ542-2222-2-2-2-222i2i−2i−2i−2i−2i2i2i2-20000000000000000000000002i−2i2i−2i2-22-2−22−222−22−2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−22−222−22−200000000
χ552-2222-2-2-2-222i2i−2i−2i−2i−2i2i2i2-2000000000000000000000000−2i2i−2i2i-22-222−22−2−22−22i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2−22−222−22−200000000
χ562-2222-2-2-2-222i2i−2i−2i−2i−2i2i2i2-2000000000000000000000000−2i2i−2i2i-22-22−22−222−22−2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i22−22−2−22−2200000000
χ572-2222-2-2-2-22−2i−2i2i2i2i2i−2i−2i2-20000000000000000000000002i−2i2i−2i-22-222−22−2−22−22−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−22−222−22−200000000
χ582-2222-2-2-2-22−2i−2i2i2i2i2i−2i−2i2-20000000000000000000000002i−2i2i−2i-22-22−22−222−22−2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i22−22−2−22−2200000000
χ592-2222-2-2-2-22−2i−2i2i2i2i2i−2i−2i2-2000000000000000000000000−2i2i−2i2i2-22-22−22−2−22−22−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i22−22−2−22−2200000000
χ602-2222-2-2-2-22−2i−2i2i2i2i2i−2i−2i2-2000000000000000000000000−2i2i−2i2i2-22-2−22−222−22−2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2−22−222−22−200000000
χ612-22-2-222-22200000000-2-200002i2i−2i−2i−2i−2i2i2i000000002-22-22i−2i−2i2i0000i2−i2−i2i2i2−i2−i2i22−2−222−2−222−2−222−2−22−i2i2i2−i2−i2i2i2−i200000000
χ622-22-2-222-22200000000-2-200002i2i−2i−2i−2i−2i2i2i000000002-22-22i−2i−2i2i0000−i2i2i2−i2−i2i2i2−i2−222−2−222−2−222−2−222−2i2−i2−i2i2i2−i2−i2i200000000
χ632-22-2-222-22200000000-2-200002i2i−2i−2i−2i−2i2i2i00000000-22-22−2i2i2i−2i0000i2−i2−i2i2i2−i2−i2i22−2−222−2−22−222−2−222−2i2−i2−i2i2i2−i2−i2i200000000
χ642-22-2-222-22200000000-2-200002i2i−2i−2i−2i−2i2i2i00000000-22-22−2i2i2i−2i0000−i2i2i2−i2−i2i2i2−i2−222−2−222−22−2−222−2−22−i2i2i2−i2−i2i2i2−i200000000
χ652-22-2-222-22200000000-2-20000−2i−2i2i2i2i2i−2i−2i000000002-22-2−2i2i2i−2i0000i2−i2−i2i2i2−i2−i2i2−222−2−222−2−222−2−222−2−i2i2i2−i2−i2i2i2−i200000000
χ662-22-2-222-22200000000-2-20000−2i−2i2i2i2i2i−2i−2i000000002-22-2−2i2i2i−2i0000−i2i2i2−i2−i2i2i2−i22−2−222−2−222−2−222−2−22i2−i2−i2i2i2−i2−i2i200000000
χ672-22-2-222-22200000000-2-20000−2i−2i2i2i2i2i−2i−2i00000000-22-222i−2i−2i2i0000i2−i2−i2i2i2−i2−i2i2−222−2−222−22−2−222−2−22i2−i2−i2i2i2−i2−i2i200000000
χ682-22-2-222-22200000000-2-20000−2i−2i2i2i2i2i−2i−2i00000000-22-222i−2i−2i2i0000−i2i2i2−i2−i2i2i2−i22−2−222−2−22−222−2−222−2−i2i2i2−i2−i2i2i2−i200000000
χ692-22-2-222-2-2-20000000022222200000000-2-2-2-200002-2-220000-222-22i−2i−2i2i−2i2i2i−2i0000000000000000−2i2i2i−2i2i−2i−2i2i00000000
χ702-22-2-222-2-2-20000000022222200000000-2-2-2-200002-2-220000-222-2−2i2i2i−2i2i−2i−2i2i00000000000000002i−2i−2i2i−2i2i2i−2i00000000
χ712-22-2-222-2-2-20000000022222200000000-2-2-2-20000-222-200002-2-222i−2i−2i2i−2i2i2i−2i00000000000000002i−2i−2i2i−2i2i2i−2i00000000
χ722-22-2-222-2-2-20000000022222200000000-2-2-2-20000-222-200002-2-22−2i2i2i−2i2i−2i−2i2i0000000000000000−2i2i2i−2i2i−2i−2i2i00000000
χ732-22-2-222-2-2-20000000022-2-2-2-200000000222200002-2-2200002-2-22000000002-2-22-222-22-2-22-222-20000000000000000
χ742-22-2-222-2-2-20000000022-2-2-2-200000000222200002-2-2200002-2-2200000000-222-22-2-22-222-22-2-220000000000000000
χ752-22-2-222-2-2-20000000022-2-2-2-20000000022220000-222-20000-222-2000000002-2-22-222-2-222-22-2-220000000000000000
χ762-22-2-222-2-2-20000000022-2-2-2-20000000022220000-222-20000-222-200000000-222-22-2-222-2-22-222-20000000000000000
χ7744-44-44-4-40000004i−4i4i−4i0022−2222−222i2−2i22i2−2i22i2−2i22i2−2i222−2222−2200000000000000000000000000000000000000000000000000000000
χ7844-44-44-4-40000004i−4i4i−4i00−2222−2222−2i22i2−2i22i2−2i22i2−2i22i2−2222−222200000000000000000000000000000000000000000000000000000000
χ7944-44-44-4-4000000−4i4i−4i4i0022−2222−22−2i22i2−2i22i2−2i22i2−2i22i222−2222−2200000000000000000000000000000000000000000000000000000000
χ8044-44-44-4-4000000−4i4i−4i4i00−2222−22222i2−2i22i2−2i22i2−2i22i2−2i2−2222−222200000000000000000000000000000000000000000000000000000000
χ8144-4-44-44-4004i−4i4i−4i00000022−22−22222i2−2i22i2−2i2−2i22i2−2i22i222−22−222200000000000000000000000000000000000000000000000000000000
χ8244-4-44-44-4004i−4i4i−4i000000−222222−22−2i22i2−2i22i22i2−2i22i2−2i2−222222−2200000000000000000000000000000000000000000000000000000000
χ8344-4-44-44-400−4i4i−4i4i00000022−22−2222−2i22i2−2i22i22i2−2i22i2−2i222−22−222200000000000000000000000000000000000000000000000000000000
χ8444-4-44-44-400−4i4i−4i4i000000−222222−222i2−2i22i2−2i2−2i22i2−2i22i2−222222−2200000000000000000000000000000000000000000000000000000000
χ854-4-44-4-4440000004-4-440022−22−222222−22−222222−22−2222−222222−2200000000000000000000000000000000000000000000000000000000
χ864-4-44-4-4440000004-4-4400−222222−22−222222−22−222222−2222−22−222200000000000000000000000000000000000000000000000000000000
χ874-4-44-4-444000000-444-40022−22−2222−222222−22−222222−22−222222−2200000000000000000000000000000000000000000000000000000000
χ884-4-44-4-444000000-444-400−222222−2222−22−222222−22−222222−22−222200000000000000000000000000000000000000000000000000000000
χ894-4-4-444-44004-4-4400000022−2222−2222−22−2222−222222−22−2222−222200000000000000000000000000000000000000000000000000000000
χ904-4-4-444-44004-4-44000000−2222−2222−222222−2222−22−222222−2222−2200000000000000000000000000000000000000000000000000000000
χ914-4-4-444-4400-444-400000022−2222−22−222222−2222−22−2222−2222−222200000000000000000000000000000000000000000000000000000000
χ924-4-4-444-4400-444-4000000−2222−222222−22−2222−222222−2222−2222−2200000000000000000000000000000000000000000000000000000000

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