Finite Group Databasebeta

← Group #259506

Character table — Group #259506

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11111111222222224444448888888888888888888888161616161616161616161616161616161616
order12222222444444444444444444444444444488888888444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111
χ5111111111111111111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ6111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1
χ7111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1
χ8111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111
χ91111111111111111-1-1-1-111-1-111-1-111-1-111111111-1-1-1-11-11-111-1-1-1-111-1-111-1-1
χ101111111111111111-1-1-1-111-1-111-1-111-1-11111-1-1-1-111111-11-1-1-1-1-111-1-111-1-111
χ111111111111111111-1-1-1-111-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-111-1-1-1111111-1-1-1-111
χ121111111111111111-1-1-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-111-11111-1-1-1-11111-1-1
χ131111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11-1-11-1-11111-1-11111-1-1
χ141111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111-1-111111-1-111-1-1-1-111
χ151111111111111111-1-1-1-111-1-1-1-111-1-11111111111-1-1-1-1-11-1111-1-1-1-1-1-111-1-111
χ161111111111111111-1-1-1-111-1-1-1-111-1-1111111-1-1-1-11111-11-11-1-1-1-11111-1-111-1-1
χ1722222222222-2-2-22-222-2-2-2-22-200002222000000000000-2-20000000000000000
χ1822222222222-2-2-22-222-2-2-2-22-20000-2-2-2-2000000000000220000000000000000
χ1922222222222-2-2-22-2-2-222-2-2-22000022-2-2000000000000-220000000000000000
χ2022222222222-2-2-22-2-2-222-2-2-220000-2-2220000000000002-20000000000000000
χ2122222222-2-2-2222-222222-2-2-2-22222000000000000000000-2-200000000000000
χ2222222222-2-2-2222-222222-2-2-2-2-2-2-2-20000000000000000002200000000000000
χ2322222222-2-2-2222-22-2-2-2-2-2-22222-2-2000000000000000000-2200000000000000
χ2422222222-2-2-2222-22-2-2-2-2-2-222-2-2220000000000000000002-200000000000000
χ2522222222-2-2-2-2-2-2-2-222-2-222-220000000022-2-2000000000000002-20000000000
χ2622222222-2-2-2-2-2-2-2-222-2-222-2200000000-2-22200000000000000-220000000000
χ2722222222-2-2-2-2-2-2-2-2-2-222222-20000000022-2-200000000000000-220000000000
χ2822222222-2-2-2-2-2-2-2-2-2-222222-200000000-2-222000000000000002-20000000000
χ292-2-222-2-2222-22-2-2-2200002-200000000002i−2i2i−2i22-2-2000000002i−2i000000000000
χ302-2-222-2-2222-22-2-2-2200002-200000000002i−2i2i−2i-2-22200000000−2i2i000000000000
χ312-2-222-2-2222-22-2-2-2200002-20000000000−2i2i−2i2i22-2-200000000−2i2i000000000000
χ322-2-222-2-2222-22-2-2-2200002-20000000000−2i2i−2i2i-2-222000000002i−2i000000000000
χ332-2-222-2-22-2-22-2222-200002-200000000002i−2i−2i2i00002i2i−2i−2i000000002-200000000
χ342-2-222-2-22-2-22-2222-200002-200000000002i−2i−2i2i0000−2i−2i2i2i00000000-2200000000
χ352-2-222-2-22-2-22-2222-200002-20000000000−2i2i2i−2i00002i2i−2i−2i00000000-2200000000
χ362-2-222-2-22-2-22-2222-200002-20000000000−2i2i2i−2i0000−2i−2i2i2i000000002-200000000
χ372-2-2-2-222200022-20-22-22-200002i−2i2i−2i000000002−22−22−22−20000000000i2−i2i2−i20000
χ382-2-2-2-222200022-20-22-22-200002i−2i2i−2i00000000−22−22−22−220000000000−i2i2−i2i20000
χ392-2-2-2-222200022-20-22-22-20000−2i2i−2i2i000000002−22−22−22−20000000000−i2i2−i2i20000
χ402-2-2-2-222200022-20-22-22-20000−2i2i−2i2i00000000−22−22−22−220000000000i2−i2i2−i20000
χ412-2-2-2-222200022-20-2-22-2200002i−2i−2i2i000000002−22−2−22−220000000000i2−i2−i2i20000
χ422-2-2-2-222200022-20-2-22-2200002i−2i−2i2i00000000−22−222−22−20000000000−i2i2i2−i20000
χ432-2-2-2-222200022-20-2-22-220000−2i2i2i−2i000000002−22−2−22−220000000000−i2i2i2−i20000
χ442-2-2-2-222200022-20-2-22-220000−2i2i2i−2i00000000−22−222−22−20000000000i2−i2−i2i20000
χ45444-4-4-4-440004-440-40000000000000000000022−22−22220000000000000000000000
χ46444-4-4-4-440004-440-400000000000000000000−222222−220000000000000000000000
χ47444-4-4-4-44000-44-4040000000000000000000000002i2−2i2−2i22i2000000000000000000
χ48444-4-4-4-44000-44-404000000000000000000000000−2i22i22i2−2i2000000000000000000
χ4944-44-44-4-44-44000-4000000000000000000000000000000000000000000022−2200
χ5044-44-44-4-44-44000-40000000000000000000000000000000000000000000−222200
χ5144-44-44-4-4-44-400040000000000000000000000000000000000000000000002i2−2i2
χ5244-44-44-4-4-44-40004000000000000000000000000000000000000000000000−2i22i2
χ534-444-4-44-44-4-4000400000000000004i−4i00000000000000000000000000000000
χ544-444-4-44-44-4-400040000000000000−4i4i00000000000000000000000000000000
χ554-444-4-44-4-444000-40000000000000004-4000000000000000000000000000000
χ564-444-4-44-4-444000-4000000000000000-44000000000000000000000000000000
χ574-4-444-4-4444-4-444-4-40000-440000000000000000000000000000000000000000
χ584-4-444-4-44-4-444-4-4440000-440000000000000000000000000000000000000000
χ594-4-4-4-4444000-4-44044-4-44000000000000000000000000000000000000000000
χ604-4-4-4-4444000-4-4404-444-4000000000000000000000000000000000000000000
χ6188-8-88-88-8000000000000000000000000000000000000000000000000000000
χ628-88-888-8-8000000000000000000000000000000000000000000000000000000

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