Finite Group Databasebeta

← Group #349077

Character table — Group #349077

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11112222222244444444444444444888888888888888888888161616161616161632323232
order12222244444444444448888888888222444444488888888888888888882288
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111-1-1-111-1-1-1-1-1-1-1111-1-1-1-1-1-11111-1-1-1-111-1-1
χ411111111111111111111111111111-1-1-111-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-11111-1-111
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
χ71111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-1-111111111-1-1-1-1111-1-11
χ81111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-1-1111111-1-11111-1-1-111-1
χ911111111111111-1-1-1-11111111-1-1-1-111-1-1-111-1-1-1-1-11-1-11111-1-11111-1-1-1-1-1-111
χ1011111111111111-1-1-1-11111111-1-1-1-111-1-1-111-1-1-1-1-11-1-11111-1-1-1-1-1-1111111-1-1
χ1111111111111111-1-1-1-11111111-1-1-1-1-1-11-1-1-1-1111111-1-1-1-1-1-11111111111-1-1-1-1
χ1211111111111111-1-1-1-11111111-1-1-1-1-1-11-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ1311111111111111-1-1-1-11-1-1-1-1-1-1111111-1-1-111-1-1-111-111-1-1-1-11111-1-1-1-111-111-1
χ1411111111111111-1-1-1-11-1-1-1-1-1-1111111-1-1-111-1-1-111-111-1-1-1-111-1-11111-1-11-1-11
χ1511111111111111-1-1-1-11-1-1-1-1-1-11111-1-11-1-1-1-1111-1-1-1111111-1-111-1-111-1-1-11-11
χ1611111111111111-1-1-1-11-1-1-1-1-1-11111-1-11-1-1-1-1111-1-1-1111111-1-1-1-111-1-1111-11-1
χ172222222-2-2-22-22-222-2-2-200000000000002-2000002i−2i0002i2i−2i−2i2i−2i000000000000
χ182222222-2-2-22-22-222-2-2-200000000000002-200000−2i2i000−2i−2i2i2i−2i2i000000000000
χ192222222-2-2-22-22-2-2-222-20000000000000-22000002i−2i000−2i−2i2i2i2i−2i000000000000
χ202222222-2-2-22-22-2-2-222-20000000000000-2200000−2i2i0002i2i−2i−2i−2i2i000000000000
χ21222222-2222-22-2-20000-22222-2-2000000200002-2-2-2-2-200000022000000000000
χ22222222-2222-22-2-20000-22222-2-2000000-20000-22222-2000000-2-2000000000000
χ23222222-2222-22-2-20000-2-2-2-2-222000000200002-2-2222000000-2-2000000000000
χ24222222-2222-22-2-20000-2-2-2-2-222000000-20000-222-2-2200000022000000000000
χ25222222-2-2-2-2-2-2-22000020000002i2i−2i−2i2-20002-20002i−2i02i−2i0000−2i2i000000000000
χ26222222-2-2-2-2-2-2-22000020000002i2i−2i−2i-22000-22000−2i2i02i−2i00002i−2i000000000000
χ27222222-2-2-2-2-2-2-2200002000000−2i−2i2i2i2-20002-2000−2i2i0−2i2i00002i−2i000000000000
χ28222222-2-2-2-2-2-2-2200002000000−2i−2i2i2i-22000-220002i−2i0−2i2i0000−2i2i000000000000
χ292222-2-2222-22-2-2-222-2-220000000000222-22-2-2-22-200000000000000000000000
χ302222-2-2222-22-2-2-222-2-220000000000-2-2-2-22222-2200000000000000000000000
χ312222-2-2222-22-2-2-2-2-2222000000000022-22-2-2-22-2200000000000000000000000
χ322222-2-2222-22-2-2-2-2-22220000000000-2-222-222-22-200000000000000000000000
χ332222-2-22-2-2222-222222-222-2-2222222000-2-20000000-2-2-2000000000000000000
χ342222-2-22-2-2222-222222-2-2-222-2-2-2-2-2-2000-2-20000000222000000000000000000
χ352222-2-22-2-2222-22-2-2-2-2-222-2-222-2-2-2-2000220000000-222000000000000000000
χ362222-2-22-2-2222-22-2-2-2-2-2-2-222-2-222220002200000002-2-2000000000000000000
χ372222-2-2-222-2-2-2220000-20000002i2i−2i−2i0020000-2-22000−2i2i2i−2i2i−2i00000000000000
χ382222-2-2-222-2-2-2220000-20000002i2i−2i−2i00-2000022-2000−2i2i−2i2i−2i2i00000000000000
χ392222-2-2-222-2-2-2220000-2000000−2i−2i2i2i0020000-2-220002i−2i−2i2i−2i2i00000000000000
χ402222-2-2-222-2-2-2220000-2000000−2i−2i2i2i00-2000022-20002i−2i2i−2i2i−2i00000000000000
χ412222-2-2-2-2-22-222-20000222-2-2-2-200002-2000-2200000200-222-200000000000000
χ422222-2-2-2-2-22-222-20000222-2-2-2-20000-220002-2000002002-2-2200000000000000
χ432222-2-2-2-2-22-222-200002-2-2222200002-2000-2200000-2002-2-2200000000000000
χ442222-2-2-2-2-22-222-200002-2-222220000-220002-200000-200-222-200000000000000
χ4544-4-4004000-4000004i−4i022−220022−222i2−2i22i2−2i2000000000000000000000000000000000
χ4644-4-4004000-4000004i−4i0−222200−2222−2i22i2−2i22i2000000000000000000000000000000000
χ4744-4-4004000-400000−4i4i022−220022−22−2i22i2−2i22i2000000000000000000000000000000000
χ4844-4-4004000-400000−4i4i0−222200−22222i2−2i22i2−2i2000000000000000000000000000000000
χ4944-4-400-400040004-400022−2200−222222−22−2222000000000000000000000000000000000
χ5044-4-400-400040004-4000−22220022−22−222222−22000000000000000000000000000000000
χ5144-4-400-40004000-4400022−2200−2222−222222−22000000000000000000000000000000000
χ5244-4-400-40004000-44000−22220022−2222−22−2222000000000000000000000000000000000
χ534-44-44-404-440-400000000000000000000000000000000000000002i2−2i200000000
χ544-44-44-404-440-40000000000000000000000000000000000000000−2i22i200000000
χ554-44-44-40-44-40400000000000000000000000000000000000000000022−22000000
χ564-44-44-40-44-404000000000000000000000000000000000000000000−2222000000
χ574-44-4-4404-4-4040000000000000000000000000000000000000000000022−220000
χ584-44-4-4404-4-40400000000000000000000000000000000000000000000−22220000
χ594-44-4-440-4440-4000000000000000000000000000000000000002i2−2i20000000000
χ604-44-4-440-4440-400000000000000000000000000000000000000−2i22i20000000000
χ618-8-880000000000000000042−42000000000000000000000000000000000000000
χ628-8-8800000000000000000−4242000000000000000000000000000000000000000

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