Finite Group Databasebeta

← Group #238785

Character table — Group #238785

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111111122222222444444444488888888888888881616161616161616161616161616161616161616
order12222222444444442244444444888888888888888824444444444444448888
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-11111
χ611111111111111111111111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-11111-1-1-1-1
χ711111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-111-1-1-1-1
χ811111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-11111
χ91111111111111111-1-1-1-11-1-1-1-111111-1-1-1-11111-1-1-1-11-1111111-1-11-1-1-1-1-111-1-1
χ101111111111111111-1-1-1-11-1-1-1-111111-1-1-1-11111-1-1-1-1-11-1-1-1-111-1-1-111111-1-111
χ111111111111111111-1-1-1-11-1-1-1-111111-1-1-1-1-1-1-1-111111-111-1-1-1-1111-1-1-111-1-111
χ121111111111111111-1-1-1-11-1-1-1-111111-1-1-1-1-1-1-1-11111-11-1-111-1-111-1111-1-111-1-1
χ131111111111111111-1-1-1-11-1-1-1-11-1-1-1-111111111-1-1-1-11-1-1-1-1-1-1-1111-1111111-1-1
χ141111111111111111-1-1-1-11-1-1-1-11-1-1-1-111111111-1-1-1-1-111111-1-111-11-1-1-1-1-1-111
χ151111111111111111-1-1-1-11-1-1-1-11-1-1-1-11111-1-1-1-111111-1-1-11111-1-11-111-1-1-1-111
χ161111111111111111-1-1-1-11-1-1-1-11-1-1-1-11111-1-1-1-11111-1111-1-111-1-1-11-1-11111-1-1
χ1722222222222-2-2-22-22222-2-2-2-2-2-200000000000000002-200000000-2200000000
χ1822222222222-2-2-22-22222-2-2-2-2-2-20000000000000000-22000000002-200000000
χ1922222222222-2-2-22-2-2-2-2-2-22222-200000000000000002200000000-2-200000000
χ2022222222222-2-2-22-2-2-2-2-2-22222-20000000000000000-2-2000000002200000000
χ2122222222-2-2-2222-2222-2-2-222-2-2-200000000000000000000002-22-20000000000
χ2222222222-2-2-2222-2222-2-2-222-2-2-20000000000000000000000-22-220000000000
χ2322222222-2-2-2222-22-2-222-2-2-222-200000000000000000000002-2-220000000000
χ2422222222-2-2-2222-22-2-222-2-2-222-20000000000000000000000-222-20000000000
χ2522222222-2-2-2-2-2-2-2-222-2-22-2-2222000000000000000000002-2000000002-20000
χ2622222222-2-2-2-2-2-2-2-222-2-22-2-222200000000000000000000-2200000000-220000
χ2722222222-2-2-2-2-2-2-2-2-2-222222-2-22000000000000000000002-200000000-220000
χ2822222222-2-2-2-2-2-2-2-2-2-222222-2-2200000000000000000000-22000000002-20000
χ292-22-2-222-222-222-2-2-22-22-2-22-22-220000000000000000002i−2i000000002i−2i000000
χ302-22-2-222-222-222-2-2-22-22-2-22-22-22000000000000000000−2i2i00000000−2i2i000000
χ312-22-2-222-222-222-2-2-2-22-22-2-22-2220000000000000000002i−2i00000000−2i2i000000
χ322-22-2-222-222-222-2-2-2-22-22-2-22-222000000000000000000−2i2i000000002i−2i000000
χ332-22-2-222-222-2-2-22-222-22-22-22-22-22i2i−2i−2i2i2i−2i−2i0000000000000000000000000000
χ342-22-2-222-222-2-2-22-222-22-22-22-22-2−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000
χ352-22-2-222-222-2-2-22-22-22-2222-22-2-22i2i−2i−2i−2i−2i2i2i0000000000000000000000000000
χ362-22-2-222-222-2-2-22-22-22-2222-22-2-2−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000
χ372-22-2-222-2-2-2222-22-22-2-2222-2-22-2000000000000000000000000000000002i−2i2i−2i
χ382-22-2-222-2-2-2222-22-22-2-2222-2-22-200000000000000000000000000000000−2i2i−2i2i
χ392-22-2-222-2-2-2222-22-2-222-22-222-2-2000000000000000000000000000000002i−2i−2i2i
χ402-22-2-222-2-2-2222-22-2-222-22-222-2-200000000000000000000000000000000−2i2i2i−2i
χ412-22-2-222-2-2-22-2-22222-2-22-2-222-220000000022-2-222-2-200000000000000000000
χ422-22-2-222-2-2-22-2-22222-2-22-2-222-2200000000-2-222-2-22200000000000000000000
χ432-22-2-222-2-2-22-2-2222-222-2-22-2-2220000000022-2-2-2-22200000000000000000000
χ442-22-2-222-2-2-22-2-2222-222-2-22-2-22200000000-2-22222-2-200000000000000000000
χ45444-4-4-4-444-44000-4000000000000000000022−2222−22000000000000000000000000
χ46444-4-4-4-444-44000-40000000000000000000−2222−2222000000000000000000000000
χ47444-4-4-4-44-44-40004000000000000000000000002i2−2i22i2−2i200000000000000000000
χ48444-4-4-4-44-44-4000400000000000000000000000−2i22i2−2i22i200000000000000000000
χ4944-44-44-4-40004-440-4000000000022−2222−2200000000000000000000000000000000
χ5044-44-44-4-40004-440-40000000000−2222−222200000000000000000000000000000000
χ5144-44-44-4-4000-44-404000000000000002i2−2i22i2−2i20000000000000000000000000000
χ5244-44-44-4-4000-44-40400000000000000−2i22i2−2i22i20000000000000000000000000000
χ534-4444-4-4-44-4-40004000000000000000000000002i2−2i2−2i22i200000000000000000000
χ544-4444-4-4-44-4-4000400000000000000000000000−2i22i22i2−2i200000000000000000000
χ554-4444-4-4-4-444000-4000000000000000000022−22−2222000000000000000000000000
χ564-4444-4-4-4-444000-40000000000000000000−222222−22000000000000000000000000
χ574-4-4-444-440004-4-4040000000000000022−22−22220000000000000000000000000000
χ584-4-4-444-440004-4-40400000000000000−222222−220000000000000000000000000000
χ594-4-4-444-44000-4440-400000000002i2−2i2−2i22i200000000000000000000000000000000
χ604-4-4-444-44000-4440-40000000000−2i22i22i2−2i200000000000000000000000000000000
χ6188-8-88-88-8000000000000000000000000000000000000000000000000000000
χ628-8-88-8-888000000000000000000000000000000000000000000000000000000

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