Finite Group Databasebeta

← Group #246683

Character table — Group #246683

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11111111222222224444448888888888888888888888161616161616161616161616161616161616
order12222222444444442244442244444444444488888888222444444488888888
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1111-1-1-1-1-1-111111111-1-1-111-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-1-11111
χ51111111111111111111111-1-11111-1-111-1-1-1-1111111111-1-1-1-11-1-1-1-1-1-1-1-11111
χ61111111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111111-1-1-1-1
χ71111111111111111111111-1-11-1-11-1-1-1-1111111111111-111-1-1-11111-1-1-1-1-1-1-1-1
χ81111111111111111111111-1-11-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111111111
χ91111111111111111-1-11-1-1111-111-1-1-1-1-1-1-1-1-11111-1-1-1-1-111-11111-1-111-1-111-1-1
χ101111111111111111-1-11-1-1111-111-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-111-1-111-1-111-1-111
χ111111111111111111-1-11-1-1111-1-1-1-1-1-11111111111-1-1-1-11-1-1-11-1-1-11111-1-1-1-111
χ121111111111111111-1-11-1-1111-1-1-1-1-1-1111111-1-1-1-111111-1-1-11-111-1-1-1-11111-1-1
χ131111111111111111-1-11-1-11-1-1-111-111-1-111111111-1-1-1-1-1-1-11-11-1-111-1-11111-1-1
χ141111111111111111-1-11-1-11-1-1-111-111-1-11111-1-1-1-11111-1-1-11-1111-1-111-1-1-1-111
χ151111111111111111-1-11-1-11-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111-1-111
χ161111111111111111-1-11-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-1
χ172222222222-2-222-2-222-2-2-2-200-222200-2-200000000000020000-2000000000000
χ182222222222-2-222-2-222-2-2-2-200-2-2-220022000000000000-200002000000000000
χ192222222222-2-222-2-2-2-2-222-200222-20022000000000000-20000-2000000000000
χ202222222222-2-222-2-2-2-2-222-2002-2-2-200-2-2000000000000200002000000000000
χ2122222222-2-222-2-22222-222-222-200-22200000000000000000-2-20000000000000
χ2222222222-2-222-2-22222-222-2-2-2-200-2-2-200000000000000000220000000000000
χ2322222222-2-222-2-222-2-2-2-2-2-2222002-2-2000000000000000002-20000000000000
χ2422222222-2-222-2-222-2-2-2-2-2-2-2-220022200000000000000000-220000000000000
χ2522222222-2-2-2-2-2-2-2-2222-2-2200200-2000022-2-20000000002-2000000000000000
χ2622222222-2-2-2-2-2-2-2-2222-2-2200200-20000-2-222000000000-22000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2222200-2002000022-2-2000000000-22000000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2222200-20020000-2-2220000000002-2000000000000000
χ292-22-2-22-2200-2-200222-202-202-200002-200000022−2−222−2−200000000002−22−20000
χ302-22-2-22-2200-2-200222-202-202-200002-2000000−2−222−2−2220000000000−22−220000
χ312-22-2-22-2200-2-200222-202-20-220000-2200000022−2−222−2−20000000000−22−220000
χ322-22-2-22-2200-2-200222-202-20-220000-22000000−2−222−2−22200000000002−22−20000
χ332-22-2-22-2200-2-20022-220-2202-20000-2200000022−2−2−2−22200000000002−2−220000
χ342-22-2-22-2200-2-20022-220-2202-20000-22000000−2−22222−2−20000000000−222−20000
χ352-22-2-22-2200-2-20022-220-220-2200002-200000022−2−2−2−2220000000000−222−20000
χ362-22-2-22-2200-2-20022-220-220-2200002-2000000−2−22222−2−200000000002−2−220000
χ372-2-22-2-2222-22-22-22-200-200200000000002-22-200002-22-20000002-20000000000
χ382-2-22-2-2222-22-22-22-200-200200000000002-22-20000-22-22000000-220000000000
χ392-2-22-2-2222-22-22-22-200-20020000000000-22-2200002-22-2000000-220000000000
χ402-2-22-2-2222-22-22-22-200-20020000000000-22-220000-22-220000002-20000000000
χ412-2-22-2-222-22-22-22-2200-200200000000002-2-222-22-20000000000002-200000000
χ422-2-22-2-222-22-22-22-2200-200200000000002-2-22-22-22000000000000-2200000000
χ432-2-22-2-222-22-22-22-2200-20020000000000-222-22-22-2000000000000-2200000000
χ442-2-22-2-222-22-22-22-2200-20020000000000-222-2-22-220000000000002-200000000
χ45444-4-4-44-44400-4-4000000000004-400000000000000000000000000000000000
χ46444-4-4-44-44400-4-400000000000-4400000000000000000000000000000000000
χ47444-4-4-44-4-4-4004400000000000000004i−4i000000000000000000000000000000
χ48444-4-4-44-4-4-400440000000000000000−4i4i000000000000000000000000000000
χ4944-4-44-4-44004-400-440000000000000000000022−22−22220000000000000000000000
χ5044-4-44-4-44004-400-4400000000000000000000−222222−220000000000000000000000
χ5144-4-44-4-4400-44004-400000000000000000000000022−22−2222000000000000000000
χ5244-4-44-4-4400-44004-4000000000000000000000000−222222−22000000000000000000
χ534-44-4-44-44004400-4-44-40-4400000000000000000000000000000000000000000
χ544-44-4-44-44004400-4-4-4404-400000000000000000000000000000000000000000
χ554-4-44-4-4444-4-444-4-4400400-40000000000000000000000000000000000000000
χ564-4-44-4-444-444-4-444-400400-40000000000000000000000000000000000000000
χ574-4-4-4444-44-400-4400000000000000000000000000000000000000000000002i2−2i2
χ584-4-4-4444-44-400-440000000000000000000000000000000000000000000000−2i22i2
χ594-4-4-4444-4-44004-4000000000000000000000000000000000000000000002i2−2i200
χ604-4-4-4444-4-44004-400000000000000000000000000000000000000000000−2i22i200
χ6188-88-88-8-8000000000000000000000000000000000000000000000000000000
χ628-8888-8-8-8000000000000000000000000000000000000000000000000000000

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