Finite Group Databasebeta

← Group #284021

Character table — Group #284021

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size11111111222222224444444444444488888888888888888888888888161616161616161616163232
order12222222444444444444448888888822444444448888888888888888224444888844
χ111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111-1-11-1
χ61111111111111111111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-111-11
χ71111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-11-1-111-11
χ81111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1111-111-1-11-1
χ91111111111111111-1-1-1-11111111111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11-1-11-1-1-1-111
χ101111111111111111-1-1-1-11111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-111-11111-1-1
χ111111111111111111-1-1-1-11111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-11-1-111111-1-1
χ121111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-111-1-1-1-1-111
χ131111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-1-1111-1-1111-1
χ141111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111111-1-1-111-1-1-11
χ151111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-111111-1-1-11
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-1111-1-1-1-1-1111-1
χ17222222222-2-22-222-22222-2-200000000-2-2220000-2-222-2-2000000000000000000000000
χ18222222222-2-22-222-22222-2-200000000-2-2-2-2000022-2-222000000000000000000000000
χ19222222222-2-22-222-2-2-2-2-2-2-20000000022220000-2-2-2-222000000000000000000000000
χ20222222222-2-22-222-2-2-2-2-2-2-20000000022-2-200002222-2-2000000000000000000000000
χ2122222222-222-22-2-220000-2-22222-2-2-2-2000022-2-200000000000000000000200-2000000
χ2222222222-222-22-2-220000-2-22222-2-2-2-20000-2-22200000000000000000000-2002000000
χ2322222222-222-22-2-220000-2-2-2-2-2-222220000222200000000000000000000-200-2000000
χ2422222222-222-22-2-220000-2-2-2-2-2-222220000-2-2-2-2000000000000000000002002000000
χ2522-222-2-2-2-200-202202i2i−2i−2i0022−2−222−2−2002-20000002i−2i00i2i2−i2−i222−2−2i2i2−i2−i2000000000000
χ2622-222-2-2-2-200-202202i2i−2i−2i0022−2−222−2−200-22000000−2i2i00i2i2−i2−i2−2−222−i2−i2i2i2000000000000
χ2722-222-2-2-2-200-202202i2i−2i−2i00−2−222−2−222002-20000002i−2i00−i2−i2i2i2−2−222−i2−i2i2i2000000000000
χ2822-222-2-2-2-200-202202i2i−2i−2i00−2−222−2−22200-22000000−2i2i00−i2−i2i2i222−2−2i2i2−i2−i2000000000000
χ2922-222-2-2-2-200-20220−2i−2i2i2i0022−2−222−2−2002-2000000−2i2i00−i2−i2i2i222−2−2−i2−i2i2i2000000000000
χ3022-222-2-2-2-200-20220−2i−2i2i2i0022−2−222−2−200-220000002i−2i00−i2−i2i2i2−2−222i2i2−i2−i2000000000000
χ3122-222-2-2-2-200-20220−2i−2i2i2i00−2−222−2−222002-2000000−2i2i00i2i2−i2−i2−2−222i2i2−i2−i2000000000000
χ3222-222-2-2-2-200-20220−2i−2i2i2i00−2−222−2−22200-220000002i−2i00i2i2−i2−i222−2−2−i2−i2i2i2000000000000
χ332-222-2-22-2200-20-2202i−2i2i−2i00i2−i2i2−i2i2−i2i2−i2000000002i−2i002-22−22−22−22−2i2−i2i2−i2000000000000
χ342-222-2-22-2200-20-2202i−2i2i−2i00i2−i2i2−i2i2−i2i2−i200000000−2i2i00-222−22−2−22−22−i2i2−i2i2000000000000
χ352-222-2-22-2200-20-2202i−2i2i−2i00−i2i2−i2i2−i2i2−i2i2000000002i−2i002-2−22−22−22−22−i2i2−i2i2000000000000
χ362-222-2-22-2200-20-2202i−2i2i−2i00−i2i2−i2i2−i2i2−i2i200000000−2i2i00-22−22−222−22−2i2−i2i2−i2000000000000
χ372-222-2-22-2200-20-220−2i2i−2i2i00i2−i2i2−i2i2−i2i2−i2000000002i−2i00-22−22−222−22−2−i2i2−i2i2000000000000
χ382-222-2-22-2200-20-220−2i2i−2i2i00i2−i2i2−i2i2−i2i2−i200000000−2i2i002-2−22−22−22−22i2−i2i2−i2000000000000
χ392-222-2-22-2200-20-220−2i2i−2i2i00−i2i2−i2i2−i2i2−i2i2000000002i−2i00-222−22−2−22−22i2−i2i2−i2000000000000
χ402-222-2-22-2200-20-220−2i2i−2i2i00−i2i2−i2i2−i2i2−i2i200000000−2i2i002-22−22−22−22−2−i2i2−i2i2000000000000
χ412-2-22-22-22222-2-22-2-20000-222i−2i−2i2i−2i2i2i−2i000000000000000000000000002-202i−2i0000000
χ422-2-22-22-22222-2-22-2-20000-222i−2i−2i2i−2i2i2i−2i00000000000000000000000000-220−2i2i0000000
χ432-2-22-22-22222-2-22-2-20000-22−2i2i2i−2i2i−2i−2i2i000000000000000000000000002-20−2i2i0000000
χ442-2-22-22-22222-2-22-2-20000-22−2i2i2i−2i2i−2i−2i2i00000000000000000000000000-2202i−2i0000000
χ452-2-22-22-22-2222-2-22-22-2-222-22i−2i−2i2i2i−2i−2i2i2-2000000000000−2i2i2i−2i00000000000000000000
χ462-2-22-22-22-2222-2-22-22-2-222-2−2i2i2i−2i−2i2i2i−2i2-20000000000002i−2i−2i2i00000000000000000000
χ472-2-22-22-22-2222-2-22-2-222-22-22i−2i−2i2i2i−2i−2i2i-220000000000002i−2i−2i2i00000000000000000000
χ482-2-22-22-22-2222-2-22-2-222-22-2−2i2i2i−2i−2i2i2i−2i-22000000000000−2i2i2i−2i00000000000000000000
χ492-2-22-22-22-2-2-222-2222-2-22-2200000000-2200000000000000002-2-222-2-22000000000000
χ502-2-22-22-22-2-2-222-2222-2-22-2200000000-220000000000000000-222-2-222-2000000000000
χ512-2-22-22-22-2-2-222-222-222-2-22000000002-200000000000000002-2-22-222-2000000000000
χ522-2-22-22-22-2-2-222-222-222-2-22000000002-20000000000000000-222-22-2-22000000000000
χ5344444444-4-4-4-4-4-4-4-40000440000000000000000000000000000000000000000000000
χ54444-4-44-4-404-40400-40000000000000000004-400000000000000000000000000000000
χ55444-4-44-4-404-40400-4000000000000000000-4400000000000000000000000000000000
χ56444-4-44-4-40-440-400400000000000000000000000000000000000000000000002i2−2i20000
χ57444-4-44-4-40-440-40040000000000000000000000000000000000000000000000−2i22i20000
χ5844-444-4-4-440040-4-400000002222−22−22−22−22222200000000000000000000000000000000000000
χ5944-444-4-4-440040-4-40000000−22−2222222222−22−2200000000000000000000000000000000000000
χ604-444-4-44-4-400404-400000002i2−2i22i2−2i2−2i22i2−2i22i200000000000000000000000000000000000000
χ614-444-4-44-4-400404-40000000−2i22i2−2i22i22i2−2i22i2−2i200000000000000000000000000000000000000
χ624-4-44-44-444-4-4-444-4400004-40000000000000000000000000000000000000000000000
χ634-4-4-4444-404-40-4004000000000000000000004-4000000000000000000000000000000
χ644-4-4-4444-404-40-400400000000000000000000-44000000000000000000000000000000
χ654-4-4-4444-40-440400-40000000000000000000000000000000000000000000000002i2−2i200
χ664-4-4-4444-40-440400-4000000000000000000000000000000000000000000000000−2i22i200
χ6788-8-8-8-888000000000000000000000000000000000000000000000000000000000000
χ688-88-88-8-88000000000000000000000000000000000000000000000000000000000000

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