Finite Group Databasebeta

← Group #297950

Character table — Group #297950

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222222244444444448888888888888888888816161616161616161616161616163232
order12222222444444442222444444224444444444888888882244448888888844
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-111111111-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1
χ411111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1111-1-1-111-1-111-1-11-1
χ611111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-11111111-1-1-1-1-111-1-111-11
χ711111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-111111-1-1-1-111-11
χ811111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1111-1-11111-1-11-1
χ91111111111111111-1-1-1-11111111111-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-11111-1-1
χ101111111111111111-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111
χ111111111111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-111
χ121111111111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1
χ131111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-11-111-1-11111-1-1-11
χ141111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-11-11111-1-1-1-1111-1
χ151111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1111111-1-1-1-111-11-1-1-1-111-1-1111-1
χ161111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-1111111-11-1-111-1-111-1-1-11
χ1722222222222-2-2-2-22222222-2-2-2-2002-222-2-2-2-200000000000000000000000000
χ1822222222222-2-2-2-222222-2-222-2-200-22-2-222-2-200000000000000000000000000
χ1922222222222-2-2-2-22-2-2-2-222-2-2-2-2002-2-2-2222200000000000000000000000000
χ2022222222222-2-2-2-22-2-2-2-2-2-222-2-200-2222-2-22200000000000000000000000000
χ2122222222-2-2-22222-200002222-2-222-2-2000000220000000000-2-2000000000000
χ2222222222-2-2-22222-200002222-2-2-2-2-2-2000000-2-2000000000022000000000000
χ2322222222-2-2-22222-20000-2-2-2-2-2-22222000000-2-20000000000-22000000000000
χ2422222222-2-2-22222-20000-2-2-2-2-2-2-2-2220000002200000000002-2000000000000
χ2522222222-2-2-2-2-2-2-2-2000022-2-22200-2200000000000000002-2002-20000000000
χ2622222222-2-2-2-2-2-2-2-2000022-2-22200-220000000000000000-2200-220000000000
χ2722222222-2-2-2-2-2-2-2-20000-2-22222002-200000000000000002-200-220000000000
χ2822222222-2-2-2-2-2-2-2-20000-2-22222002-20000000000000000-22002-20000000000
χ292-2-222-2-22000-2-222000002-22-2002-2000000002-222−2−222−2−200000000002−22−200
χ302-2-222-2-22000-2-222000002-22-2002-2000000002-2−2−222−2−2220000000000−22−2200
χ312-2-222-2-22000-2-222000002-22-200-2200000000-2222−2−222−2−20000000000−22−2200
χ322-2-222-2-22000-2-222000002-22-200-2200000000-22−2−222−2−22200000000002−22−200
χ332-2-222-2-22000-2-22200000-22-22002-200000000-2222−2−2−2−22200000000002−2−2200
χ342-2-222-2-22000-2-22200000-22-22002-200000000-22−2−22222−2−20000000000−222−200
χ352-2-222-2-22000-2-22200000-22-2200-22000000002-222−2−2−2−2220000000000−222−200
χ362-2-222-2-22000-2-22200000-22-2200-22000000002-2−2−22222−2−200000000002−2−2200
χ372-2-2-2-22222-2-22-22-2222-2-200002-2000000002-20000002-22-2000000002-2000000
χ382-2-2-2-22222-2-22-22-2222-2-200002-2000000002-2000000-22-2200000000-22000000
χ392-2-2-2-22222-2-22-22-22-2-22200002-200000000-220000002-22-200000000-22000000
χ402-2-2-2-22222-2-22-22-22-2-22200002-200000000-22000000-22-22000000002-2000000
χ412-2-2-2-22222-2-2-22-22222-2-20000-2200000000-22002-22-200000000002-200000000
χ422-2-2-2-22222-2-2-22-22222-2-20000-2200000000-2200-22-220000000000-2200000000
χ432-2-2-2-22222-2-2-22-222-2-2220000-22000000002-2002-22-20000000000-2200000000
χ442-2-2-2-22222-2-2-22-222-2-2220000-22000000002-200-22-2200000000002-200000000
χ45444-4-4-4-440004-4-440000000000000000000000022−22−222200000000000000000000
χ46444-4-4-4-440004-4-4400000000000000000000000−222222−2200000000000000000000
χ47444-4-4-4-44000-444-400000000000000000000000000022−22−22220000000000000000
χ48444-4-4-4-44000-444-4000000000000000000000000000−222222−220000000000000000
χ4944-44-44-4-444-40000-44-44-4000000000000000000000000000000000000000000
χ5044-44-44-4-444-40000-4-44-44000000000000000000000000000000000000000000
χ5144-44-44-4-4-4-440000400000000000000004i−4i0000000000000000000000000000
χ5244-44-44-4-4-4-44000040000000000000000−4i4i0000000000000000000000000000
χ534-44-444-4-44-440000-44-4-44000000000000000000000000000000000000000000
χ544-44-444-4-44-440000-4-444-4000000000000000000000000000000000000000000
χ554-44-444-4-4-44-400004000000000000004i−4i000000000000000000000000000000
χ564-44-444-4-4-44-40000400000000000000−4i4i000000000000000000000000000000
χ574-4-444-4-4400044-4-4000004-4-4400000000000000000000000000000000000000
χ584-4-444-4-4400044-4-400000-444-400000000000000000000000000000000000000
χ594-4-4-4-4444-4444-44-4-400000000-44000000000000000000000000000000000000
χ604-4-4-4-4444-444-44-44-4000000004-4000000000000000000000000000000000000
χ6188-8-88-88-8000000000000000000000000000000000000000000000000000000
χ628-888-8-88-8000000000000000000000000000000000000000000000000000000

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