Finite Group Databasebeta

← Group #246607

Character table — Group #246607

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11111111222222224444448888888888888888888888161616161616161616161616161616161616
order12222222444444442244442222222244444488888888222244444488888888
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-111-1-1-1-1111111111111-1-1-111-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111111111
χ51111111111111111111111-1-1-1-111-1-11111-1-111111111-1-1-1-11-11-1-1-11111-1-1-1-1
χ61111111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-111111-11-1-1-1-1-1-1-11111
χ71111111111111111111111-1-1-1-1-1-11111-1-11111111111-1-1-1-1-11-1-1-11-1-1-1-11111
χ81111111111111111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111-11-1-1-111111-1-1-1-1
χ91111111111111111-1-11-1-1111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-11-1-1111-1-111-1-1
χ101111111111111111-1-11-1-1111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-11-1-11-1-111-1-111
χ111111111111111111-1-11-1-111111-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-1-1-1-111-1-111
χ121111111111111111-1-11-1-111111-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-111-1-111-1-1
χ131111111111111111-1-11-1-11-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-111-11111-111-1-1-1-111
χ141111111111111111-1-11-1-11-1-1-1-111-1-1-1-1-1-111-1-1-1-1111111-1-1-11111-1-1-11111-1-1
χ151111111111111111-1-11-1-11-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1111-1-1111-1-11111-1-1
χ161111111111111111-1-11-1-11-1-1-1-1-1-111-1-111-1-1-1-1-1-1111111-1-11-1-111111-1-1-1-111
χ172222222222-2-222-2-222-2-2-2-200000022-2200-2-200000000000002000-200000000
χ182222222222-2-222-2-222-2-2-2-2000000-2-2-2200220000000000000-2000200000000
χ192222222222-2-222-2-2-2-2-222-2000000222-200220000000000000-2000-200000000
χ202222222222-2-222-2-2-2-2-222-2000000-2-22-200-2-200000000000002000200000000
χ2122222222-2-222-2-22222-222-200002200-2-22200000000000000-20-200000000000
χ2222222222-2-222-2-22222-222-20000-2-200-2-2-2-20000000000000020200000000000
χ2322222222-2-222-2-222-2-2-2-2-2-20000220022-2-20000000000000020-200000000000
χ2422222222-2-222-2-222-2-2-2-2-2-20000-2-200222200000000000000-20200000000000
χ2522222222-2-2-2-2-2-2-2-2222-2-2222-2-200002-200000000000000000002-2000000000
χ2622222222-2-2-2-2-2-2-2-2222-2-22-2-22200002-20000000000000000000-22000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2222222-2-20000-220000000000000000000-22000000000
χ2822222222-2-2-2-2-2-2-2-2-2-22222-2-2220000-2200000000000000000002-2000000000
χ292-22-2-22-2200-2-200222-202-2000002-200002-20022−2−222−2−200000000002−22−20000
χ302-22-2-22-2200-2-200222-202-2000002-200002-200−2−222−2−2220000000000−22−220000
χ312-22-2-22-2200-2-200222-202-200000-220000-220022−2−222−2−20000000000−22−220000
χ322-22-2-22-2200-2-200222-202-200000-220000-2200−2−222−2−22200000000002−22−20000
χ332-22-2-22-2200-2-20022-220-22000002-20000-220022−2−2−2−22200000000002−2−220000
χ342-22-2-22-2200-2-20022-220-22000002-20000-2200−2−22222−2−20000000000−222−20000
χ352-22-2-22-2200-2-20022-220-2200000-2200002-20022−2−2−2−2220000000000−222−20000
χ362-22-2-22-2200-2-20022-220-2200000-2200002-200−2−22222−2−200000000002−2−220000
χ372-2-22-2-2222-22-22-22-200-20022-22-2000000000000002-22-2002-200000000000000
χ382-2-22-2-2222-22-22-22-200-20022-22-200000000000000-22-2200-2200000000000000
χ392-2-22-2-2222-22-22-22-200-2002-22-22000000000000002-22-200-2200000000000000
χ402-2-22-2-2222-22-22-22-200-2002-22-2200000000000000-22-22002-200000000000000
χ412-2-22-2-222-22-22-22-2200-20022-2-2200000000002-22-200002-20000000000000000
χ422-2-22-2-222-22-22-22-2200-20022-2-220000000000-22-220000-220000000000000000
χ432-2-22-2-222-22-22-22-2200-2002-222-200000000002-22-20000-220000000000000000
χ442-2-22-2-222-22-22-22-2200-2002-222-20000000000-22-2200002-20000000000000000
χ45444-4-4-44-44400-4-4000000000000000000004i−4i00000000000000000000000000
χ46444-4-4-44-44400-4-400000000000000000000−4i4i00000000000000000000000000
χ47444-4-4-44-4-4-40044000000000000004-400000000000000000000000000000000
χ48444-4-4-44-4-4-4004400000000000000-4400000000000000000000000000000000
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
χ574-4-4-4444-44-400-440000000000000000000000000000000000000000000022−2200
χ584-4-4-4444-44-400-4400000000000000000000000000000000000000000000−222200
χ594-4-4-4444-4-44004-4000000000000000000000000000000000000000000000022−22
χ604-4-4-4444-4-44004-40000000000000000000000000000000000000000000000−2222
χ6188-88-88-8-8000000000000000000000000000000000000000000000000000000
χ628-8888-8-8-8000000000000000000000000000000000000000000000000000000

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