Finite Group Databasebeta

← Group #348008

Character table — Group #348008

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size111122222222444444444444444888888888888888888888816161616323232323232
order12222244444444488888888888822224444444488888888884444448888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1
χ411111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111-1-1-1-1-1-11-11-1-1-11-11-1-1-111-1-111-1-111-1-11-111-1-1
χ611111111111111111111111-1-1-1-1-1-11-11-1-1-11-11-1-1-111-1-111-1-1-1-111-11-1-111
χ711111111111111111111111-1-1-1-1-1-1-11-11-1-1-11-11-1-1-1-111-1-11111-1-11-1-1-111
χ811111111111111111111111-1-1-1-1-1-1-11-11-1-1-11-11-1-1-1-111-1-111-1-111-1111-1-1
χ9111111111111111-1-1-1-1-1-1-1-11111-1-11-11-1-1-11-11-111-1-111-1-1111111-1-11-11-1
χ10111111111111111-1-1-1-1-1-1-1-11111-1-11-11-1-1-11-11-111-1-111-1-111-1-1-1-111-11-11
χ11111111111111111-1-1-1-1-1-1-1-11111-1-1-11-11-1-1-11-111111-1-111-1-11111-1-1-11-11
χ12111111111111111-1-1-1-1-1-1-1-11111-1-1-11-11-1-1-11-111111-1-111-1-1-1-1-1-1111-11-1
χ13111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-111-1-11
χ14111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1
χ15111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-11111111111-1-1-11-111-1
χ16111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-111111111-1-1111-11-1-11
χ172222222222-2-2-2-2-2000000000000222-22-2-2-2-22-2200000000000000000000
χ182222222222-2-2-2-2-200000000000022-22-22-2-22-22-200000000000000000000
χ192222222222-2-2-2-2-2000000000000-2-2222222-2-2-2-200000000000000000000
χ202222222222-2-2-2-2-2000000000000-2-2-2-2-2-222222200000000000000000000
χ21222222-2-2-2-2222-2-22222-2-2-2-222222-200002-20000-2-2000000000000000000
χ22222222-2-2-2-2222-2-22222-2-2-2-2-2-2-2-2-220000-22000022000000000000000000
χ23222222-2-2-2-2222-2-2-2-2-2-222222222-220000-220000-2-2000000000000000000
χ24222222-2-2-2-2222-2-2-2-2-2-22222-2-2-2-22-200002-2000022000000000000000000
χ25222222-2-2-2-2-2-2-2220000000000002-20000-220000002i−2i2i−2i2i−2i2i−2i0000000000
χ26222222-2-2-2-2-2-2-2220000000000002-20000-22000000−2i2i−2i2i−2i2i−2i2i0000000000
χ27222222-2-2-2-2-2-2-222000000000000-2200002-20000002i−2i−2i2i2i−2i−2i2i0000000000
χ28222222-2-2-2-2-2-2-222000000000000-2200002-2000000−2i2i2i−2i−2i2i2i−2i0000000000
χ292222-2-222-2-222-22-20000000022-2-200020-200020-22-22200-2-2000000000000
χ302222-2-222-2-222-22-20000000022-2-2000-202000-2022-2-2-20022000000000000
χ312222-2-222-2-222-22-200000000-2-22200020-200020-2-22-2-20022000000000000
χ322222-2-222-2-222-22-200000000-2-222000-202000-202-222200-2-2000000000000
χ332222-2-222-2-2-2-22-222i2i−2i−2i2i2i−2i−2i000000020-2000-20200002i−2i00−2i2i0000000000
χ342222-2-222-2-2-2-22-222i2i−2i−2i2i2i−2i−2i0000000-20200020-20000−2i2i002i−2i0000000000
χ352222-2-222-2-2-2-22-22−2i−2i2i2i−2i−2i2i2i000000020-2000-2020000−2i2i002i−2i0000000000
χ362222-2-222-2-2-2-22-22−2i−2i2i2i−2i−2i2i2i0000000-20200020-200002i−2i00−2i2i0000000000
χ372222-2-2-2-22222-2-220000000022-2-20020-200020-20-22002200-2-20000000000
χ382222-2-2-2-22222-2-220000000022-2-200-202000-2020-2200-2-200220000000000
χ392222-2-2-2-22222-2-2200000000-2-2220020-200020-202-200-2-200220000000000
χ402222-2-2-2-22222-2-2200000000-2-22200-202000-20202-2002200-2-20000000000
χ412222-2-2-2-222-2-222-22i2i−2i−2i−2i−2i2i2i00000020-2000-202000−2i2i002i−2i000000000000
χ422222-2-2-2-222-2-222-22i2i−2i−2i−2i−2i2i2i000000-20200020-20002i−2i00−2i2i000000000000
χ432222-2-2-2-222-2-222-2−2i−2i2i2i2i2i−2i−2i00000020-2000-2020002i−2i00−2i2i000000000000
χ442222-2-2-2-222-2-222-2−2i−2i2i2i2i2i−2i−2i000000-20200020-2000−2i2i002i−2i000000000000
χ4544-4-44-44-44-40000022−2222−2222−2222−22000000000000000000000000000000000000
χ4644-4-44-44-44-400000−2222−2222−2222−2222000000000000000000000000000000000000
χ4744-4-44-4-44-440000022−2222−22−2222−2222000000000000000000000000000000000000
χ4844-4-44-4-44-4400000−2222−222222−2222−22000000000000000000000000000000000000
χ4944-4-4-444-4-44000002i2−2i2−2i22i22i2−2i2−2i22i2000000000000000000000000000000000000
χ5044-4-4-444-4-4400000−2i22i22i2−2i2−2i22i22i2−2i2000000000000000000000000000000000000
χ5144-4-4-44-444-4000002i2−2i2−2i22i2−2i22i22i2−2i2000000000000000000000000000000000000
χ5244-4-4-44-444-400000−2i22i22i2−2i22i2−2i2−2i22i2000000000000000000000000000000000000
χ534-44-4000000-4400000000000004-400000000000000000000002i−2i2i−2i000000
χ544-44-4000000-4400000000000004-40000000000000000000000−2i2i−2i2i000000
χ554-44-4000000-440000000000000-4400000000000000000000002i−2i−2i2i000000
χ564-44-4000000-440000000000000-440000000000000000000000−2i2i2i−2i000000
χ578-88-80000008-800000000000000000000000000000000000000000000000
χ588-8-88000000000000000000042−420000000000000000000000000000000000
χ598-8-880000000000000000000−42420000000000000000000000000000000000

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