Finite Group Databasebeta

← Group #350017

Character table — Group #350017

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222444444448888888888888888888888888816161616161616161616161616161616
order12222222222222444444244444444444444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-11111-1-1-1-1
χ411111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-11111
χ5111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1
χ6111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111111111
χ7111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ8111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ9111111111111-1-1-1-11111-11111-1-111-1-1-1-11111-1-1-1-1-111-1-111-1-111-1-111-1-111-1-1
χ10111111111111-1-1-1-11111-11111-1-111-1-1-1-11111-1-1-1-1-111-1-1-1-111-1-111-1-111-1-111
χ11111111111111-1-1-1-11111-111-1-11111-1-1-1-1-1-1-1-11111-1-1-11111-1-1-1-11111-1-1-1-111
χ12111111111111-1-1-1-11111-111-1-11111-1-1-1-1-1-1-1-11111-1-1-111-1-11111-1-1-1-11111-1-1
χ13111111111111-1-1-1-11111-1-1-111-1-1-1-11111-1-1-1-11111-111-1-111-1-111-1-1-1-111-1-111
χ14111111111111-1-1-1-11111-1-1-111-1-1-1-11111-1-1-1-11111-111-1-1-1-111-1-11111-1-111-1-1
χ15111111111111-1-1-1-11111-1-1-1-1-111-1-111111111-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1
χ16111111111111-1-1-1-11111-1-1-1-1-111-1-111111111-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-111
χ1722222222222222-2-2-2-2-2-220022-2-200000000000000-2-2-2220000000000000000
χ1822222222222222-2-2-2-2-2-2200-2-22200000000000000-222-2-20000000000000000
χ19222222222222-2-222-2-2-2-2-2002222000000000000002-2-2-2-20000000000000000
χ20222222222222-2-222-2-2-2-2-200-2-2-2-200000000000000222220000000000000000
χ2122222222-2-2-2-2222222-2-2-200000000000022-2-222-2-2-200000000000000000000
χ2222222222-2-2-2-2222222-2-2-2000000000000-2-222-2-222-200000000000000000000
χ2322222222-2-2-2-222-2-2-2-222-2220000-2-222-2-200000000200000000000000000000
χ2422222222-2-2-2-222-2-2-2-222-2-2-2000022-2-22200000000200000000000000000000
χ2522222222-2-2-2-2-2-222-2-2222220000-2-2-2-22200000000-200000000000000000000
χ2622222222-2-2-2-2-2-222-2-2222-2-200002222-2-200000000-200000000000000000000
χ2722222222-2-2-2-2-2-2-2-222-2-2200000000000022-2-2-2-222200000000000000000000
χ2822222222-2-2-2-2-2-2-2-222-2-22000000000000-2-22222-2-2200000000000000000000
χ292-222-2-2-222-22-200002-22-2000002-2002i−2i2i−2i2i−2i2i−2i00000002-20000000000000000
χ302-222-2-2-222-22-200002-22-2000002-200−2i2i−2i2i−2i2i−2i2i00000002-20000000000000000
χ312-222-2-2-222-22-200002-22-200000-22002i−2i2i−2i−2i2i−2i2i0000000-220000000000000000
χ322-222-2-2-222-22-200002-22-200000-2200−2i2i−2i2i2i−2i2i−2i0000000-220000000000000000
χ332-222-2-2-222-22-20000-22-2202i−2i002-22i−2i000000002i−2i2i−2i000-220000000000000000
χ342-222-2-2-222-22-20000-22-2202i−2i00-222i−2i00000000−2i2i−2i2i0002-20000000000000000
χ352-222-2-2-222-22-20000-22-220−2i2i002-2−2i2i00000000−2i2i−2i2i000-220000000000000000
χ362-222-2-2-222-22-20000-22-220−2i2i00-22−2i2i000000002i−2i2i−2i0002-20000000000000000
χ372-222-2-2-22-22-2200002-2-2202i−2i2-200−2i2i00002i−2i−2i2i000002-2000000000000000000
χ382-222-2-2-22-22-2200002-2-2202i−2i-2200−2i2i0000−2i2i2i−2i00000-22000000000000000000
χ392-222-2-2-22-22-2200002-2-220−2i2i2-2002i−2i0000−2i2i2i−2i000002-2000000000000000000
χ402-222-2-2-22-22-2200002-2-220−2i2i-22002i−2i00002i−2i−2i2i00000-22000000000000000000
χ412-222-2-2-22-22-220000-222-20002-200002i−2i−2i2i0000−2i2i2i−2i0-22000000000000000000
χ422-222-2-2-22-22-220000-222-20002-20000−2i2i2i−2i00002i−2i−2i2i0-22000000000000000000
χ432-222-2-2-22-22-220000-222-2000-2200002i−2i−2i2i00002i−2i−2i2i02-2000000000000000000
χ442-222-2-2-22-22-220000-222-2000-220000−2i2i2i−2i0000−2i2i2i−2i02-2000000000000000000
χ45444-44-4-4-444-4-40000000000000000000000000000000000000000000022−220000
χ46444-44-4-4-444-4-400000000000000000000000000000000000000000000−22220000
χ47444-44-4-4-4-4-4440000000000000000000000000000000000000000002i2−2i2000000
χ48444-44-4-4-4-4-444000000000000000000000000000000000000000000−2i22i2000000
χ4944-4-4-44-440000004-40000000000000000000000000000002i−2i2i−2i000000000000
χ5044-4-4-44-440000004-4000000000000000000000000000000−2i2i−2i2i000000000000
χ5144-4-4-44-44000000-440000000000000000000000000000002i−2i−2i2i000000000000
χ5244-4-4-44-44000000-44000000000000000000000000000000−2i2i2i−2i000000000000
χ534-44-4-444-44-4-4400000000000000000000000000000000000000000000002i2−2i200
χ544-44-4-444-44-4-440000000000000000000000000000000000000000000000−2i22i200
χ554-44-4-444-4-444-40000000000000000000000000000000000000000000000002i2−2i2
χ564-44-4-444-4-444-4000000000000000000000000000000000000000000000000−2i22i2
χ574-4-4444-4-400004-40000000000000000000000000000000000002i−2i2i−2i00000000
χ584-4-4444-4-400004-4000000000000000000000000000000000000−2i2i−2i2i00000000
χ594-4-4444-4-40000-440000000000000000000000000000000000002i−2i−2i2i00000000
χ604-4-4444-4-40000-44000000000000000000000000000000000000−2i2i2i−2i00000000
χ6188-88-8-88-8000000000000000000000000000000000000000000000000000000
χ628-8-8-88-888000000000000000000000000000000000000000000000000000000

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