Finite Group Databasebeta

← Group #237173

Character table — Group #237173

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11112222222222444444444488888888161616161616161616161616161616161616161616161616
order12222244444444224444444488888888222244444444888888888888
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ5111111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111111111
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111
χ911111111111111-1-1-1-11-1-1-1-111111-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-1
χ1011111111111111-1-1-1-11-1-1-1-111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-111
χ1111111111111111-1-1-1-11-1-1-1-111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1
χ1211111111111111-1-1-1-11-1-1-1-111111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-111
χ1311111111111111-1-1-1-11-1-1-1-11-1-1-1-1111111-1-1-1-11111-1-111-1-1-1-111-1-111
χ1411111111111111-1-1-1-11-1-1-1-11-1-1-1-1111111-1-1-1-111-1-111-1-11111-1-111-1-1
χ1511111111111111-1-1-1-11-1-1-1-11-1-1-1-11111-1-11111-1-111-1-1-1-11111-1-1-1-111
χ1611111111111111-1-1-1-11-1-1-1-11-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-11111-1-1
χ172222222-2-222-2-222222-2-2-2-2-2-20000000000000000000000002-22-20000
χ182222222-2-222-2-222222-2-2-2-2-2-2000000000000000000000000-22-220000
χ192222222-2-222-2-22-2-2-2-2-22222-20000000000000000000000002-2-220000
χ202222222-2-222-2-22-2-2-2-2-22222-2000000000000000000000000-222-20000
χ21222222-222-2-2-2-2-222-2-2222-2-2-200000000000000000000000000002i−2i2i−2i
χ22222222-222-2-2-2-2-222-2-2222-2-2-20000000000000000000000000000−2i2i−2i2i
χ23222222-222-2-2-2-2-2-2-2222-2-222-200000000000000000000000000002i−2i−2i2i
χ24222222-222-2-2-2-2-2-2-2222-2-222-20000000000000000000000000000−2i2i2i−2i
χ25222222-2-2-2-2-222-222-2-2-2-2-2222000000002-2002-2000000000000000000
χ26222222-2-2-2-2-222-222-2-2-2-2-222200000000-2200-22000000000000000000
χ27222222-2-2-2-2-222-2-2-222-222-2-22000000002-200-22000000000000000000
χ28222222-2-2-2-2-222-2-2-222-222-2-2200000000-22002-2000000000000000000
χ292222-2-2222-2-2-2-222-22-2-22-22-2222-2-222-2-2000000000000000000000000
χ302222-2-2222-2-2-2-222-22-2-22-22-22-2-222-2-222000000000000000000000000
χ312222-2-2222-2-2-2-22-22-22-2-22-22222-2-2-2-222000000000000000000000000
χ322222-2-2222-2-2-2-22-22-22-2-22-222-2-22222-2-2000000000000000000000000
χ332222-2-22-2-2-2-22222-22-22-22-22-2000000000000000000002-22-200000000
χ342222-2-22-2-2-2-22222-22-22-22-22-200000000000000000000-22-2200000000
χ352222-2-22-2-2-2-2222-22-2222-22-2-2000000000000000000002-2-2200000000
χ362222-2-22-2-2-2-2222-22-2222-22-2-200000000000000000000-222-200000000
χ372222-2-2-2222222-22-2-22-22-2-22-200000000000000002-22-2000000000000
χ382222-2-2-2222222-22-2-22-22-2-22-20000000000000000-22-22000000000000
χ392222-2-2-2222222-2-222-2-2-222-2-200000000000000002-2-22000000000000
χ402222-2-2-2222222-2-222-2-2-222-2-20000000000000000-222-2000000000000
χ412222-2-2-2-2-222-2-2-22-2-222-222-2200000000002-2002-20000000000000000
χ422222-2-2-2-2-222-2-2-22-2-222-222-220000000000-2200-220000000000000000
χ432222-2-2-2-2-222-2-2-2-222-222-2-22200000000002-200-220000000000000000
χ442222-2-2-2-2-222-2-2-2-222-222-2-2220000000000-22002-20000000000000000
χ4544-4-44-44004-400-4000000000022−2222−220000000000000000000000000000
χ4644-4-44-44004-400-40000000000−2222−22220000000000000000000000000000
χ4744-4-44-4-400-44004000000000000002i2−2i22i2−2i2000000000000000000000000
χ4844-4-44-4-400-4400400000000000000−2i22i2−2i22i2000000000000000000000000
χ4944-4-4-44400-4400-4000000000022−22−22220000000000000000000000000000
χ5044-4-4-44400-4400-40000000000−222222−220000000000000000000000000000
χ5144-4-4-44-4004-4004000000000000002i2−2i2−2i22i2000000000000000000000000
χ5244-4-4-44-4004-400400000000000000−2i22i22i2−2i2000000000000000000000000
χ538-88-800000008-80000000000000000000000000000000000000000000
χ548-88-80000000-880000000000000000000000000000000000000000000
χ558-8-880008-800000000000000000000000000000000000000000000000
χ568-8-88000-8800000000000000000000000000000000000000000000000

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