Finite Group Databasebeta

← Group #277332

Character table — Group #277332

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size11111111222222222222222244444444444444444444444444888888888888888888161616161616161616163232
order12222222444444448888888822224488888888888888888888224444444488888888444444888844
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1111111-1-1-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111-1-1-1-11111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1
χ6111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ7111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111
χ8111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-111111111-1-1
χ91111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11-111-1-111-1-11-1
χ101111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-11-1-111-1-111-11
χ111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-1-1-111111-111-1-1-1-111-11
χ121111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-11111-11-1-11111-1-11-1
χ131111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111111-1-1-11111-1-1-11
χ141111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1111-1-1-1-1111-1
χ151111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111-1-1-1-11-1-1-111-1-1111-1
χ161111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1111111-1-1-1-1-1111-1-111-1-1-11
χ172222222222-2-2-222-2000000002222-2-200002222-2-2-2-200000000220000-2-2-2-200000000000000000000
χ182222222222-2-2-222-2000000002222-2-20000-2-2-2-2222200000000-2-20000-2-22200000000000000000000
χ192222222222-2-2-222-200000000-2-2-2-2-2-200002222-2-2-2-200000000-2-20000222200000000000000000000
χ202222222222-2-2-222-200000000-2-2-2-2-2-20000-2-2-2-222220000000022000022-2-200000000000000000000
χ2122222222-2-2222-2-22222222220000-2-2-2-2-2-20000000000000000002222000000000000-2-20000000000
χ2222222222-2-2222-2-22222222220000-2-2-2-2-2-2000000000000000000-2-2-2-2000000000000220000000000
χ2322222222-2-2222-2-22-2-2-2-2-2-2-2-20000-2-2222200000000000000000022-2-2000000000000-220000000000
χ2422222222-2-2222-2-22-2-2-2-2-2-2-2-20000-2-22222000000000000000000-2-2220000000000002-20000000000
χ2522-2-22-2-2222-2-22-2-222222-2-2-2-200002-222-2-20000000000000000000000000000000000002i−2i2i−2i000000
χ2622-2-22-2-2222-2-22-2-222222-2-2-2-200002-222-2-2000000000000000000000000000000000000−2i2i−2i2i000000
χ2722-2-22-2-2222-2-22-2-22-2-2-2-2222200002-2-2-2220000000000000000000000000000000000002i−2i−2i2i000000
χ2822-2-22-2-2222-2-22-2-22-2-2-2-2222200002-2-2-222000000000000000000000000000000000000−2i2i2i−2i000000
χ2922-2-22-2-22-2-222-222-20000000022-2-22-20000000000002i2i2i2i−2i−2i−2i−2i0000002-20000002i2i−2i−2i000000000000
χ3022-2-22-2-22-2-222-222-20000000022-2-22-2000000000000−2i−2i−2i−2i2i2i2i2i0000002-2000000−2i−2i2i2i000000000000
χ3122-2-22-2-22-2-222-222-200000000-2-2222-20000000000002i2i2i2i−2i−2i−2i−2i000000-22000000−2i−2i2i2i000000000000
χ3222-2-22-2-22-2-222-222-200000000-2-2222-2000000000000−2i−2i−2i−2i2i2i2i2i000000-220000002i2i−2i−2i000000000000
χ3322-2-22-2-22-2-2-2-222222222-2-2-2-222-2-2-22-2-2220000000000000000000000-220022-2-20000000000000000
χ3422-2-22-2-22-2-2-2-222222222-2-2-2-2-2-222-22-2-22200000000000000000000002-200-2-2220000000000000000
χ3522-2-22-2-22-2-2-2-22222-2-2-2-2222222-2-2-2222-2-20000000000000000000000-2200-2-2220000000000000000
χ3622-2-22-2-22-2-2-2-22222-2-2-2-22222-2-222-2222-2-200000000000000000000002-20022-2-20000000000000000
χ372-22-222-2-22-20002-20i2i2−i2−i2i2i2−i2−i22-22-200i2−i2i2−i200002i2i−2i−2i22−2−222−2−2000000002i−2ii2−i2i2−i22−22−2000000000000
χ382-22-222-2-22-20002-20i2i2−i2−i2i2i2−i2−i22-22-200i2−i2i2−i20000−2i−2i2i2i−2−222−2−22200000000−2i2ii2−i2i2−i2−22−22000000000000
χ392-22-222-2-22-20002-20i2i2−i2−i2i2i2−i2−i2-22-2200i2−i2i2−i200002i2i−2i−2i22−2−222−2−200000000−2i2i−i2i2−i2i2−22−22000000000000
χ402-22-222-2-22-20002-20i2i2−i2−i2i2i2−i2−i2-22-2200i2−i2i2−i20000−2i−2i2i2i−2−222−2−222000000002i−2i−i2i2−i2i22−22−2000000000000
χ412-22-222-2-22-20002-20−i2−i2i2i2−i2−i2i2i22-22-200−i2i2−i2i200002i2i−2i−2i−2−222−2−222000000002i−2i−i2i2−i2i2−22−22000000000000
χ422-22-222-2-22-20002-20−i2−i2i2i2−i2−i2i2i22-22-200−i2i2−i2i20000−2i−2i2i2i22−2−222−2−200000000−2i2i−i2i2−i2i22−22−2000000000000
χ432-22-222-2-22-20002-20−i2−i2i2i2−i2−i2i2i2-22-2200−i2i2−i2i200002i2i−2i−2i−2−222−2−22200000000−2i2ii2−i2i2−i22−22−2000000000000
χ442-22-222-2-22-20002-20−i2−i2i2i2−i2−i2i2i2-22-2200−i2i2−i2i20000−2i−2i2i2i22−2−222−2−2000000002i−2ii2−i2i2−i2−22−22000000000000
χ452-2-222-22-2-220002-20i2i2−i2−i2−i2−i2i2i22-2-2200−i2i2i2−i222-2-20000i2i2−i2−i2−i2−i2i2i22-200000000i2−i2−i2i2i2−i2−i2i2000000000000
χ462-2-222-22-2-220002-20i2i2−i2−i2−i2−i2i2i22-2-2200−i2i2i2−i2-2-2220000−i2−i2i2i2i2i2−i2−i2-2200000000i2−i2−i2i2−i2i2i2−i2000000000000
χ472-2-222-22-2-220002-20i2i2−i2−i2−i2−i2i2i2-222-200−i2i2i2−i222-2-20000i2i2−i2−i2−i2−i2i2i2-2200000000−i2i2i2−i2−i2i2i2−i2000000000000
χ482-2-222-22-2-220002-20i2i2−i2−i2−i2−i2i2i2-222-200−i2i2i2−i2-2-2220000−i2−i2i2i2i2i2−i2−i22-200000000−i2i2i2−i2i2−i2−i2i2000000000000
χ492-2-222-22-2-220002-20−i2−i2i2i2i2i2−i2−i22-2-2200i2−i2−i2i222-2-20000−i2−i2i2i2i2i2−i2−i22-200000000−i2i2i2−i2−i2i2i2−i2000000000000
χ502-2-222-22-2-220002-20−i2−i2i2i2i2i2−i2−i22-2-2200i2−i2−i2i2-2-2220000i2i2−i2−i2−i2−i2i2i2-2200000000−i2i2i2−i2i2−i2−i2i2000000000000
χ512-2-222-22-2-220002-20−i2−i2i2i2i2i2−i2−i2-222-200i2−i2−i2i222-2-20000−i2−i2i2i2i2i2−i2−i2-2200000000i2−i2−i2i2i2−i2−i2i2000000000000
χ522-2-222-22-2-220002-20−i2−i2i2i2i2i2−i2−i2-222-200i2−i2−i2i2-2-2220000i2i2−i2−i2−i2−i2i2i22-200000000i2−i2−i2i2−i2i2i2−i2000000000000
χ532-2-22-22-22002-2200-22i−2i2i−2i2i−2i2i−2i00000000002−22−22−22−2i2−i2i2−i2i2−i2i2−i2002i−2i2-2000000000000000000i2−i22−200
χ542-2-22-22-22002-2200-22i−2i2i−2i2i−2i2i−2i00000000002−22−22−22−2i2−i2i2−i2i2−i2i2−i200−2i2i-22000000000000000000−i2i2−2200
χ552-2-22-22-22002-2200-22i−2i2i−2i2i−2i2i−2i0000000000−22−22−22−22−i2i2−i2i2−i2i2−i2i2002i−2i2-2000000000000000000−i2i2−2200
χ562-2-22-22-22002-2200-22i−2i2i−2i2i−2i2i−2i0000000000−22−22−22−22−i2i2−i2i2−i2i2−i2i200−2i2i-22000000000000000000i2−i22−200
χ572-2-22-22-22002-2200-2−2i2i−2i2i−2i2i−2i2i00000000002−22−22−22−2−i2i2−i2i2−i2i2−i2i2002i−2i-22000000000000000000i2−i2−2200
χ582-2-22-22-22002-2200-2−2i2i−2i2i−2i2i−2i2i00000000002−22−22−22−2−i2i2−i2i2−i2i2−i2i200−2i2i2-2000000000000000000−i2i22−200
χ592-2-22-22-22002-2200-2−2i2i−2i2i−2i2i−2i2i0000000000−22−22−22−22i2−i2i2−i2i2−i2i2−i2002i−2i-22000000000000000000−i2i22−200
χ602-2-22-22-22002-2200-2−2i2i−2i2i−2i2i−2i2i0000000000−22−22−22−22i2−i2i2−i2i2−i2i2−i200−2i2i2-2000000000000000000i2−i2−2200
χ6144444444-4-4-4-4-4-4-4-40000000000004400000000000000000000000000000000000000000000000000
χ624444-4-4-4-40000000022−22−2222−222222−22000000000022−22−222200002-2-22-222-2000000000000000000000000000000
χ634444-4-4-4-40000000022−22−2222−222222−220000000000−222222−220000-222-22-2-22000000000000000000000000000000
χ644444-4-4-4-400000000−222222−2222−22−2222000000000022−22−22220000-222-22-2-22000000000000000000000000000000
χ654444-4-4-4-400000000−222222−2222−22−22220000000000−222222−2200002-2-22-222-2000000000000000000000000000000
χ6644-4-44-4-444444-4-4-4-4000000000000-4400000000000000000000000000000000000000000000000000
χ6744-4-4-444-40000000022−22−222222−22−2222000000000000002i2−2i2−2i22i2−2i2i2i−2i−2i2i2i−2i000000000000000000000000000000
χ6844-4-4-444-40000000022−22−222222−22−222200000000000000−2i22i22i2−2i22i−2i−2i2i2i−2i−2i2i000000000000000000000000000000
χ6944-4-4-444-400000000−222222−22−222222−22000000000000002i2−2i2−2i22i22i−2i−2i2i2i−2i−2i2i000000000000000000000000000000
χ7044-4-4-444-400000000−222222−22−222222−2200000000000000−2i22i22i2−2i2−2i2i2i−2i−2i2i2i−2i000000000000000000000000000000
χ714-44-444-4-4-44000-4402i22i2−2i2−2i22i22i2−2i2−2i2000000−2i22i2−2i22i20000000000000000000000000000000000000000000000
χ724-44-444-4-4-44000-440−2i2−2i22i22i2−2i2−2i22i22i20000002i2−2i22i2−2i20000000000000000000000000000000000000000000000
χ734-44-4-4-444004-4-40040000000000000000000000000022−2222−22−2222−2222000000000000000000000000000000
χ744-44-4-4-444004-4-400400000000000000000000000000−2222−222222−2222−22000000000000000000000000000000
χ754-44-4-4-44400-44400-44i−4i4i−4i−4i4i−4i4i00000000000000000000000000000000000000000000000000000000
χ764-44-4-4-44400-44400-4−4i4i−4i4i4i−4i4i−4i00000000000000000000000000000000000000000000000000000000
χ774-4-444-44-44-4000-4402i22i2−2i2−2i2−2i2−2i22i22i20000002i2−2i2−2i22i20000000000000000000000000000000000000000000000
χ784-4-444-44-44-4000-440−2i2−2i22i22i22i22i2−2i2−2i2000000−2i22i22i2−2i20000000000000000000000000000000000000000000000
χ794-4-44-44-4400-44-400400000000000000000022−2222−22−2222−222200000000000000000000000000000000000000
χ804-4-44-44-4400-44-4004000000000000000000−2222−222222−2222−2200000000000000000000000000000000000000

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