Finite Group Databasebeta

← Group #349076

Character table — Group #349076

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11112222222244444444444444444888888888888888888888161616161616161632323232
order12222244444444444448888888888244444444488888888888888888882288
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111-1-111-1-1-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ411111111111111111111111111111-1-111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ51111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11-11-1
χ61111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-11-11
χ71111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111-1-11
χ81111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-111-1
χ911111111111111-1-1-1-11111111-1-1-1-111-1-111-1-1-1-11-1-11111-1-1-1-111111111-1-1-1-1
χ1011111111111111-1-1-1-11111111-1-1-1-111-1-111-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ1111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-111111111-1-1-1-1-1-111
χ1211111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ1311111111111111-1-1-1-11-1-1-1-1-1-1111111-1-111-1-1-1-1-111-1-1-1-1111111-1-111-1-1-11-11
χ1411111111111111-1-1-1-11-1-1-1-1-1-1111111-1-111-1-1-1-1-111-1-1-1-11111-1-111-1-1111-11-1
χ1511111111111111-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-11111-1111111-1-1-1-111-1-1-1-111-111-1
χ1611111111111111-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-11111-1111111-1-1-1-1-1-11111-1-11-1-11
χ172222222-2-2-2-222-222-2-2-20000000000002-20000000002i2i−2i−2i2i2i−2i−2i000000000000
χ182222222-2-2-2-222-222-2-2-20000000000002-2000000000−2i−2i2i2i−2i−2i2i2i000000000000
χ192222222-2-2-2-222-2-2-222-2000000000000-220000000002i2i−2i−2i−2i−2i2i2i000000000000
χ202222222-2-2-2-222-2-2-222-2000000000000-22000000000−2i−2i2i2i2i2i−2i−2i000000000000
χ21222222-22222-2-2-20000-22222-2-200002200-2-20000-2002-22-20000000000000000
χ22222222-22222-2-2-20000-22222-2-20000-2-200220000-200-22-220000000000000000
χ23222222-22222-2-2-20000-2-2-2-2-22200002200-2-20000200-22-220000000000000000
χ24222222-22222-2-2-20000-2-2-2-2-2220000-2-2002200002002-22-20000000000000000
χ25222222-2-2-2-2-2-2-22000020000002i2i−2i−2i00000022-2-202i−2i2i−2i−2i2i0000000000000000
χ26222222-2-2-2-2-2-2-22000020000002i2i−2i−2i000000-2-22202i−2i−2i2i2i−2i0000000000000000
χ27222222-2-2-2-2-2-2-2200002000000−2i−2i2i2i00000022-2-20−2i2i−2i2i2i−2i0000000000000000
χ28222222-2-2-2-2-2-2-2200002000000−2i−2i2i2i000000-2-2220−2i2i2i−2i−2i2i0000000000000000
χ292222-2-2222-2-22-2-222-2-2200000000002-2-222-22-22-200000000000000000000000
χ302222-2-2222-2-22-2-222-2-220000000000-22-22-22-22-2200000000000000000000000
χ312222-2-2222-2-22-2-2-2-222200000000002-22-22-2-22-2200000000000000000000000
χ322222-2-2222-2-22-2-2-2-22220000000000-222-2-222-22-200000000000000000000000
χ332222-2-22-2-2222-222222-222-2-222222200-2-2000000-2-2-200000000000000000000
χ342222-2-22-2-2222-222222-2-2-222-2-2-2-2-2-200-2-200000022200000000000000000000
χ352222-2-22-2-2222-22-2-2-2-2-222-2-222-2-2-2-20022000000-22200000000000000000000
χ362222-2-22-2-2222-22-2-2-2-2-2-2-222-2-2222200220000002-2-200000000000000000000
χ372222-2-2-222-2-2-2220000-20000002i2i−2i−2i2-200-2200000−2i2i00002i−2i2i−2i000000000000
χ382222-2-2-222-2-2-2220000-20000002i2i−2i−2i-22002-200000−2i2i0000−2i2i−2i2i000000000000
χ392222-2-2-222-2-2-2220000-2000000−2i−2i2i2i2-200-22000002i−2i0000−2i2i−2i2i000000000000
χ402222-2-2-222-2-2-2220000-2000000−2i−2i2i2i-22002-2000002i−2i00002i−2i2i−2i000000000000
χ412222-2-2-2-2-222-22-20000222-2-2-2-200000000002-2-2220000002-2-22000000000000
χ422222-2-2-2-2-222-22-20000222-2-2-2-20000000000-222-22000000-222-2000000000000
χ432222-2-2-2-2-222-22-200002-2-2222200000000002-2-22-2000000-222-2000000000000
χ442222-2-2-2-2-222-22-200002-2-222220000000000-222-2-20000002-2-22000000000000
χ4544-4-44-404-44-4000000000000000000000000000000000000000002i2−2i200000000
χ4644-4-44-404-44-400000000000000000000000000000000000000000−2i22i200000000
χ4744-4-44-40-44-4400000000000000000000000000000000000000000002i2−2i2000000
χ4844-4-44-40-44-440000000000000000000000000000000000000000000−2i22i2000000
χ4944-4-4-4404-4-440000000000000000000000000000000000000000000002i2−2i20000
χ5044-4-4-4404-4-44000000000000000000000000000000000000000000000−2i22i20000
χ5144-4-4-440-444-40000000000000000000000000000000000000002i2−2i20000000000
χ5244-4-4-440-444-4000000000000000000000000000000000000000−2i22i20000000000
χ534-44-40040000-400004i−4i022−220022−222i2−2i22i2−2i2000000000000000000000000000000000
χ544-44-40040000-400004i−4i0−222200−2222−2i22i2−2i22i2000000000000000000000000000000000
χ554-44-40040000-40000−4i4i022−220022−22−2i22i2−2i22i2000000000000000000000000000000000
χ564-44-40040000-40000−4i4i0−222200−22222i2−2i22i2−2i2000000000000000000000000000000000
χ574-44-400-400004004-400022−2200−222222−22−2222000000000000000000000000000000000
χ584-44-400-400004004-4000−22220022−22−222222−22000000000000000000000000000000000
χ594-44-400-40000400-4400022−2200−2222−222222−22000000000000000000000000000000000
χ604-44-400-40000400-44000−22220022−2222−22−2222000000000000000000000000000000000
χ618-8-880000000000000000042−42000000000000000000000000000000000000000
χ628-8-8800000000000000000−4242000000000000000000000000000000000000000

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