Finite Group Databasebeta

← Group #322077

Character table — Group #322077

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74
size11111111222222222222222244444444444444444444448888888888888888161616161616161632323232
order12222222444444448888888844888888888888888888884444444488888888244488882444
χ111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ41111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1
χ6111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111
χ7111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111
χ8111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1
χ91111111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11-11-1
χ101111111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-11-11
χ111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-11-11
χ121111111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1111-11-1
χ131111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1111-1-11
χ141111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-111-1
χ151111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-111-1-1-1-111-111-1
χ161111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-11111-1-11-1-11
χ172222222222-2-2-222-200000000-2-200002222-2-2-2-20000000022-2-222-2-200000000000000000000
χ182222222222-2-2-222-200000000-2-200002222-2-2-2-200000000-2-222-2-22200000000000000000000
χ192222222222-2-2-222-200000000-2-20000-2-2-2-222220000000022-2-2-2-22200000000000000000000
χ202222222222-2-2-222-200000000-2-20000-2-2-2-2222200000000-2-22222-2-200000000000000000000
χ2122222222-2-2222-2-2222222222-2-2-2-2-2-2000000000000000000000000000000002-22-200000000
χ2222222222-2-2222-2-2222222222-2-2-2-2-2-200000000000000000000000000000000-22-2200000000
χ2322222222-2-2222-2-22-2-2-2-2-2-2-2-2-2-22222000000000000000000000000000000002-2-2200000000
χ2422222222-2-2222-2-22-2-2-2-2-2-2-2-2-2-2222200000000000000000000000000000000-222-200000000
χ2522-22-22-2-22-20002-20i2i2i2i2−i2−i2−i2−i200i2i2−i2−i2000022-2-2i2i2i2i2−i2−i2−i2−i2002-22-200i2i2−i2−i2i2i2−i2−i2000000000000
χ2622-22-22-2-22-20002-20i2i2i2i2−i2−i2−i2−i200i2i2−i2−i2000022-2-2i2i2i2i2−i2−i2−i2−i200-22-2200−i2−i2i2i2−i2−i2i2i2000000000000
χ2722-22-22-2-22-20002-20i2i2i2i2−i2−i2−i2−i200i2i2−i2−i20000-2-222−i2−i2−i2−i2i2i2i2i2002-2-2200i2i2−i2−i2−i2−i2i2i2000000000000
χ2822-22-22-2-22-20002-20i2i2i2i2−i2−i2−i2−i200i2i2−i2−i20000-2-222−i2−i2−i2−i2i2i2i2i200-222-200−i2−i2i2i2i2i2−i2−i2000000000000
χ2922-22-22-2-22-20002-20−i2−i2−i2−i2i2i2i2i200−i2−i2i2i2000022-2-2−i2−i2−i2−i2i2i2i2i2002-22-200−i2−i2i2i2−i2−i2i2i2000000000000
χ3022-22-22-2-22-20002-20−i2−i2−i2−i2i2i2i2i200−i2−i2i2i2000022-2-2−i2−i2−i2−i2i2i2i2i200-22-2200i2i2−i2−i2i2i2−i2−i2000000000000
χ3122-22-22-2-22-20002-20−i2−i2−i2−i2i2i2i2i200−i2−i2i2i20000-2-222i2i2i2i2−i2−i2−i2−i2002-2-2200−i2−i2i2i2i2i2−i2−i2000000000000
χ3222-22-22-2-22-20002-20−i2−i2−i2−i2i2i2i2i200−i2−i2i2i20000-2-222i2i2i2i2−i2−i2−i2−i200-222-200i2i2−i2−i2−i2−i2i2i2000000000000
χ332-22-222-2-2-220002-20i2i2−i2−i2i2i2−i2−i200i2−i2i2−i200002-22-2i2i2−i2−i2i2i2−i2−i22-200002-2i2−i2i2−i2i2−i2i2−i2000000000000
χ342-22-222-2-2-220002-20i2i2−i2−i2i2i2−i2−i200i2−i2i2−i200002-22-2i2i2−i2−i2i2i2−i2−i2-220000-22−i2i2−i2i2−i2i2−i2i2000000000000
χ352-22-222-2-2-220002-20i2i2−i2−i2i2i2−i2−i200i2−i2i2−i20000-22-22−i2−i2i2i2−i2−i2i2i22-20000-22i2−i2i2−i2−i2i2−i2i2000000000000
χ362-22-222-2-2-220002-20i2i2−i2−i2i2i2−i2−i200i2−i2i2−i20000-22-22−i2−i2i2i2−i2−i2i2i2-2200002-2−i2i2−i2i2i2−i2i2−i2000000000000
χ372-22-222-2-2-220002-20−i2−i2i2i2−i2−i2i2i200−i2i2−i2i200002-22-2−i2−i2i2i2−i2−i2i2i22-200002-2−i2i2−i2i2−i2i2−i2i2000000000000
χ382-22-222-2-2-220002-20−i2−i2i2i2−i2−i2i2i200−i2i2−i2i200002-22-2−i2−i2i2i2−i2−i2i2i2-220000-22i2−i2i2−i2i2−i2i2−i2000000000000
χ392-22-222-2-2-220002-20−i2−i2i2i2−i2−i2i2i200−i2i2−i2i20000-22-22i2i2−i2−i2i2i2−i2−i22-20000-22−i2i2−i2i2i2−i2i2−i2000000000000
χ402-22-222-2-2-220002-20−i2−i2i2i2−i2−i2i2i200−i2i2−i2i20000-22-22i2i2−i2−i2i2i2−i2−i2-2200002-2i2−i2i2−i2−i2i2−i2i2000000000000
χ412-2-2-2-222222-222-2-2-222-2-2-2-2222-2-222-20000000000000000000000000000000000002i−2i2i−2i0000
χ422-2-2-2-222222-222-2-2-222-2-2-2-2222-2-222-2000000000000000000000000000000000000−2i2i−2i2i0000
χ432-2-2-2-222222-222-2-2-2-2-22222-2-22-22-2-220000000000000000000000000000000000002i−2i−2i2i0000
χ442-2-2-2-222222-222-2-2-2-2-22222-2-22-22-2-22000000000000000000000000000000000000−2i2i2i−2i0000
χ452-2-2-2-2222-2-22-2-2222000000002-2000022-2-22-2-2200000000000000002-2-222-2-22000000000000
χ462-2-2-2-2222-2-22-2-2222000000002-2000022-2-22-2-220000000000000000-222-2-222-2000000000000
χ472-2-2-2-2222-2-22-2-2222000000002-20000-2-222-222-200000000000000002-2-22-222-2000000000000
χ482-2-2-2-2222-2-22-2-2222000000002-20000-2-222-222-20000000000000000-222-22-2-22000000000000
χ492-2-2-2-2222-2-2-22222-222-2-2-2-222-222-2-2222-2-2-222-2-2-22222-2-20000000000000000000000000000
χ502-2-2-2-2222-2-2-22222-222-2-2-2-222-222-2-22-2-2222-2-2222-2-2-2-2220000000000000000000000000000
χ512-2-2-2-2222-2-2-22222-2-2-22222-2-2-22-222-222-2-2-222-222-2-2-2-2220000000000000000000000000000
χ522-2-2-2-2222-2-2-22222-2-2-22222-2-2-22-222-2-2-2222-2-22-2-22222-2-20000000000000000000000000000
χ5344444444-4-4-4-4-4-4-4-40000000044000000000000000000000000000000000000000000000000
χ54444-4-4-44-40044-400-44-44-44-44-400000000000000000000000000000000000000000000000000
χ55444-4-4-44-40044-400-4-44-44-44-4400000000000000000000000000000000000000000000000000
χ56444-4-4-44-400-4-4400400000000000000000000002i2−2i22i2−2i22i2−2i22i2−2i20000000000000000000000000000
χ57444-4-4-44-400-4-440040000000000000000000000−2i22i2−2i22i2−2i22i2−2i22i20000000000000000000000000000
χ5844-44-44-4-4-44000-4402i22i22i22i2−2i2−2i2−2i2−2i200−2i2−2i22i22i200000000000000000000000000000000000000000000
χ5944-44-44-4-4-44000-440−2i2−2i2−2i2−2i22i22i22i22i2002i22i2−2i2−2i200000000000000000000000000000000000000000000
χ6044-4-44-4-44000000002i2−2i22i2−2i2−2i22i2−2i22i20000002i2−2i22i2−2i200002-22-2-22-220000000000000000000000000000
χ6144-4-44-4-44000000002i2−2i22i2−2i2−2i22i2−2i22i2000000−2i22i2−2i22i20000-22-222-22-20000000000000000000000000000
χ6244-4-44-4-4400000000−2i22i2−2i22i22i2−2i22i2−2i20000002i2−2i22i2−2i20000-22-222-22-20000000000000000000000000000
χ6344-4-44-4-4400000000−2i22i2−2i22i22i2−2i22i2−2i2000000−2i22i2−2i22i200002-22-2-22-220000000000000000000000000000
χ644-444-4-4-44000000002i2−2i2−2i22i22i2−2i2−2i22i20000002i2−2i2−2i22i20000-222-2-222-20000000000000000000000000000
χ654-444-4-4-44000000002i2−2i2−2i22i22i2−2i2−2i22i2000000−2i22i22i2−2i200002-2-222-2-220000000000000000000000000000
χ664-444-4-4-4400000000−2i22i22i2−2i2−2i22i22i2−2i20000002i2−2i2−2i22i200002-2-222-2-220000000000000000000000000000
χ674-444-4-4-4400000000−2i22i22i2−2i2−2i22i22i2−2i2000000−2i22i22i2−2i20000-222-2-222-20000000000000000000000000000
χ684-44-444-4-44-4000-4402i22i2−2i2−2i22i22i2−2i2−2i200−2i22i2−2i22i200000000000000000000000000000000000000000000
χ694-44-444-4-44-4000-440−2i2−2i22i22i2−2i2−2i22i22i2002i2−2i22i2−2i200000000000000000000000000000000000000000000
χ704-4-444-44-4004-4400-400000000000000000000002i2−2i2−2i22i2−2i22i22i2−2i20000000000000000000000000000
χ714-4-444-44-4004-4400-40000000000000000000000−2i22i22i2−2i22i2−2i2−2i22i20000000000000000000000000000
χ724-4-444-44-400-44-40044-4-44-444-400000000000000000000000000000000000000000000000000
χ734-4-444-44-400-44-4004-444-44-4-4400000000000000000000000000000000000000000000000000
χ744-4-4-4-4444444-4-4-4-4400000000-44000000000000000000000000000000000000000000000000

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