Finite Group Databasebeta

← Group #277318

Character table — Group #277318

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size11111111222222222222222244444444444444444444444444888888888888888888161616161616161616163232
order12222222444444448888888844444488888888888888888888444444444488888888444444888824
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1
χ61111111111111111111111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ71111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111
χ81111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111111111-1-1
χ91111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11-111-1-111-1-11-1
χ101111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-111-1-111-11
χ111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-111111-111-1-1-1-111-11
χ121111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-11111-11-1-11111-1-11-1
χ131111111111111111-1-1-1-1-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111-1-1-11111-1-1-11
χ141111111111111111-1-1-1-1-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1111-1-1-1-1111-1
χ151111111111111111-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111111111-1-1-1-11-1-1-111-1-1111-1
χ161111111111111111-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111111111-1-1-1-1-1111-1-111-1-1-11
χ172222222222-2-22-2-2222222222-20000-200000000-2-2-2-200000000222200000000000000-2-20000000000
χ182222222222-2-22-2-2222222222-20000-200000000-2-2-2-200000000-2-2-2-200000000000000220000000000
χ192222222222-2-22-2-22-2-2-2-2-2-2-2-2-20000-20000000022220000000022-2-200000000000000-220000000000
χ202222222222-2-22-2-22-2-2-2-2-2-2-2-2-20000-200000000222200000000-2-222000000000000002-20000000000
χ2122222222-2-222-222-200000000-22222-22222-2-2-2-20000000000000000-2-222-2-200000000000000000000
χ2222222222-2-222-222-200000000-22222-2-2-2-2-222220000000000000000-2-2-2-22200000000000000000000
χ2322222222-2-222-222-200000000-2-2-2-2-2-22222-2-2-2-2000000000000000022-2-22200000000000000000000
χ2422222222-2-222-222-200000000-2-2-2-2-2-2-2-2-2-2222200000000000000002222-2-200000000000000000000
χ2522-22-2-22-2002-202-20i2i2i2i2−i2−i2−i2−i202i2i−2i−2i000002i2i−2i−2ii2i2−i2−i22222−2−2−2−2000000002-222−2−2i2i2−i2−i2000000000000
χ2622-22-2-22-2002-202-20i2i2i2i2−i2−i2−i2−i202i2i−2i−2i00000−2i−2i2i2ii2i2−i2−i2−2−2−2−2222200000000-2222−2−2−i2−i2i2i2000000000000
χ2722-22-2-22-2002-202-20i2i2i2i2−i2−i2−i2−i20−2i−2i2i2i000002i2i−2i−2ii2i2−i2−i22222−2−2−2−200000000-22−2−222−i2−i2i2i2000000000000
χ2822-22-2-22-2002-202-20i2i2i2i2−i2−i2−i2−i20−2i−2i2i2i00000−2i−2i2i2ii2i2−i2−i2−2−2−2−22222000000002-2−2−222i2i2−i2−i2000000000000
χ2922-22-2-22-2002-202-20−i2−i2−i2−i2i2i2i2i202i2i−2i−2i000002i2i−2i−2i−i2−i2i2i2−2−2−2−22222000000002-2−2−222−i2−i2i2i2000000000000
χ3022-22-2-22-2002-202-20−i2−i2−i2−i2i2i2i2i202i2i−2i−2i00000−2i−2i2i2i−i2−i2i2i22222−2−2−2−200000000-22−2−222i2i2−i2−i2000000000000
χ3122-22-2-22-2002-202-20−i2−i2−i2−i2i2i2i2i20−2i−2i2i2i000002i2i−2i−2i−i2−i2i2i2−2−2−2−2222200000000-2222−2−2i2i2−i2−i2000000000000
χ3222-22-2-22-2002-202-20−i2−i2−i2−i2i2i2i2i20−2i−2i2i2i00000−2i−2i2i2i−i2−i2i2i22222−2−2−2−2000000002-222−2−2−i2−i2i2i2000000000000
χ332-222-2-2-2200-2202-20i2i2−i2−i2i2i2−i2−i202i−2i2i−2i022-2-20000i2−i2i2−i2i2i2−i2−i2i2i2−i2−i20000002i−2i002−22−22−22−2000000000000
χ342-222-2-2-2200-2202-20i2i2−i2−i2i2i2−i2−i202i−2i2i−2i0-2-2220000i2−i2i2−i2−i2−i2i2i2−i2−i2i2i2000000−2i2i002−22−2−22−22000000000000
χ352-222-2-2-2200-2202-20i2i2−i2−i2i2i2−i2−i20−2i2i−2i2i022-2-20000i2−i2i2−i2i2i2−i2−i2i2i2−i2−i2000000−2i2i00−22−22−22−22000000000000
χ362-222-2-2-2200-2202-20i2i2−i2−i2i2i2−i2−i20−2i2i−2i2i0-2-2220000i2−i2i2−i2−i2−i2i2i2−i2−i2i2i20000002i−2i00−22−222−22−2000000000000
χ372-222-2-2-2200-2202-20−i2−i2i2i2−i2−i2i2i202i−2i2i−2i022-2-20000−i2i2−i2i2−i2−i2i2i2−i2−i2i2i20000002i−2i00−22−22−22−22000000000000
χ382-222-2-2-2200-2202-20−i2−i2i2i2−i2−i2i2i202i−2i2i−2i0-2-2220000−i2i2−i2i2i2i2−i2−i2i2i2−i2−i2000000−2i2i00−22−222−22−2000000000000
χ392-222-2-2-2200-2202-20−i2−i2i2i2−i2−i2i2i20−2i2i−2i2i022-2-20000−i2i2−i2i2−i2−i2i2i2−i2−i2i2i2000000−2i2i002−22−22−22−2000000000000
χ402-222-2-2-2200-2202-20−i2−i2i2i2−i2−i2i2i20−2i2i−2i2i0-2-2220000−i2i2−i2i2i2i2−i2−i2i2i2−i2−i20000002i−2i002−22−2−22−22000000000000
χ412-2-2222-2-222-2-2-222-20000000022-2-22-20000000000002i2i−2i−2i−2i−2i2i2i00002-200000000−2i2i2i−2i000000000000
χ422-2-2222-2-222-2-2-222-20000000022-2-22-2000000000000−2i−2i2i2i2i2i−2i−2i00002-2000000002i−2i−2i2i000000000000
χ432-2-2222-2-222-2-2-222-2000000002-222-2-20000000000002i2i−2i−2i−2i−2i2i2i0000-22000000002i−2i−2i2i000000000000
χ442-2-2222-2-222-2-2-222-2000000002-222-2-2000000000000−2i−2i2i2i2i2i−2i−2i0000-2200000000−2i2i2i−2i000000000000
χ452-2-2222-2-2-2-2222-2-2222-2-2-2-22220000-200000000-222-200000000000000000000000000002i−2i2i−2i000000
χ462-2-2222-2-2-2-2222-2-2222-2-2-2-22220000-200000000-222-20000000000000000000000000000−2i2i−2i2i000000
χ472-2-2222-2-2-2-2222-2-22-2-22222-2-220000-2000000002-2-2200000000000000000000000000002i−2i−2i2i000000
χ482-2-2222-2-2-2-2222-2-22-2-22222-2-220000-2000000002-2-220000000000000000000000000000−2i2i2i−2i000000
χ492-2-2222-2-2-2-2-2-2222222-2-2-2-222-22-2-222000000002-2-22000000000000-2200002-2-220000000000000000
χ502-2-2222-2-2-2-2-2-2222222-2-2-2-222-2-222-22000000002-2-220000000000002-20000-222-20000000000000000
χ512-2-2222-2-2-2-2-2-22222-2-22222-2-2-22-2-22200000000-222-2000000000000-220000-222-20000000000000000
χ522-2-2222-2-2-2-2-2-22222-2-22222-2-2-2-222-2200000000-222-20000000000002-200002-2-220000000000000000
χ532-2-2-22-2222-200200-22-22-22-22-20000002−22−22−22−200002−22−22−22−22i−2i2i−2i00000000000000000000i2−i2i2−i200
χ542-2-2-22-2222-200200-22-22-22-22-20000002−22−22−22−200002−22−22−22−2−2i2i−2i2i00000000000000000000−i2i2−i2i200
χ552-2-2-22-2222-200200-22-22-22-22-2000000−22−22−22−220000−22−22−22−222i−2i2i−2i00000000000000000000−i2i2−i2i200
χ562-2-2-22-2222-200200-22-22-22-22-2000000−22−22−22−220000−22−22−22−22−2i2i−2i2i00000000000000000000i2−i2i2−i200
χ572-2-2-22-2222-200200-2-22-22-22-220000002−22−22−22−20000−22−22−22−222i−2i−2i2i00000000000000000000i2−i2−i2i200
χ582-2-2-22-2222-200200-2-22-22-22-220000002−22−22−22−20000−22−22−22−22−2i2i2i−2i00000000000000000000−i2i2i2−i200
χ592-2-2-22-2222-200200-2-22-22-22-22000000−22−22−22−2200002−22−22−22−22i−2i−2i2i00000000000000000000−i2i2i2−i200
χ602-2-2-22-2222-200200-2-22-22-22-22000000−22−22−22−2200002−22−22−22−2−2i2i2i−2i00000000000000000000i2−i2−i2i200
χ6144444444-4-4-4-4-4-4-4-40000000040000400000000000000000000000000000000000000000000000000
χ62444-44-4-4-44-400-4004000000000000000000000000002i2−2i2−2i22i2−2i22i22i2−2i2000000000000000000000000000000
χ63444-44-4-4-44-400-400400000000000000000000000000−2i22i22i2−2i22i2−2i2−2i22i2000000000000000000000000000000
χ64444-44-4-4-4-4400400-44-4-44-444-400000000000000000000000000000000000000000000000000000000
χ65444-44-4-4-4-4400400-4-444-44-4-4400000000000000000000000000000000000000000000000000000000
χ6644-44-4-44-400-440-4402i22i22i22i2−2i2−2i2−2i2−2i200000000000000−2i2−2i22i22i200000000000000000000000000000000000000
χ6744-44-4-44-400-440-440−2i2−2i2−2i2−2i22i22i22i22i2000000000000002i22i2−2i2−2i200000000000000000000000000000000000000
χ6844-4-4-44-44000000002i2−2i2−2i22i22i2−2i2−2i22i200000022−22−2222000000002i−2i−2i2i2i−2i−2i2i000000000000000000000000000000
χ6944-4-4-44-44000000002i2−2i2−2i22i22i2−2i2−2i22i2000000−222222−2200000000−2i2i2i−2i−2i2i2i−2i000000000000000000000000000000
χ7044-4-4-44-4400000000−2i22i22i2−2i2−2i22i22i2−2i200000022−22−222200000000−2i2i2i−2i−2i2i2i−2i000000000000000000000000000000
χ7144-4-4-44-4400000000−2i22i22i2−2i2−2i22i22i2−2i2000000−222222−22000000002i−2i−2i2i2i−2i−2i2i000000000000000000000000000000
χ724-444-4-4-44004-40-4402i22i2−2i2−2i22i22i2−2i2−2i200000000000000−2i22i2−2i22i200000000000000000000000000000000000000
χ734-444-4-4-44004-40-440−2i2−2i22i22i2−2i2−2i22i22i2000000000000002i2−2i22i2−2i200000000000000000000000000000000000000
χ744-44-4-444-4000000002i2−2i22i2−2i2−2i22i2−2i22i200000000002i2−2i2−2i22i200002-22-2-22-22000000000000000000000000000000
χ754-44-4-444-4000000002i2−2i22i2−2i2−2i22i2−2i22i20000000000−2i22i22i2−2i20000-22-222-22-2000000000000000000000000000000
χ764-44-4-444-400000000−2i22i2−2i22i22i2−2i22i2−2i200000000002i2−2i2−2i22i20000-22-222-22-2000000000000000000000000000000
χ774-44-4-444-400000000−2i22i2−2i22i22i2−2i22i2−2i20000000000−2i22i22i2−2i200002-22-2-22-22000000000000000000000000000000
χ784-4-4444-4-44444-4-4-4-400000000-40000400000000000000000000000000000000000000000000000000
χ794-4-4-44-444-4400-40040000000000000022−2222−22−2222−2222000000000000000000000000000000000000000000
χ804-4-4-44-444-4400-400400000000000000−2222−222222−2222−22000000000000000000000000000000000000000000

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