Finite Group Databasebeta

← Group #348108

Character table — Group #348108

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size111122222222222244444444488888888888888888888888816161616323232323232
order12222222224488884448888882224444444448888888888882244444444
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-111-1-1-1-11-1-111-1-1-1-111-1-1-1-1111111-1-1-1-1
χ411111111111111111111111111-1-111-1-1-1-11-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111-11-1-1-111-1-1-11-1-1-111-1-1-1-111-1-11111-1-111-1-1
χ61111111111111111111111111-11-1-1-111-1-1-11-1-1-111-1-1-1-111-1-1-1-1-1-111-1-111
χ71111111111111111111111111-1-11-1-1-1-111-1-11-1-1-1-111-1-1-1-1111111-1-1-1-111
χ81111111111111111111111111-1-11-1-1-1-111-1-11-1-1-1-111-1-1-1-111-1-1-1-11111-1-1
χ9111111111111-1-1-1-1111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-11-11-1
χ10111111111111-1-1-1-1111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-11-11
χ11111111111111-1-1-1-1111-1-1-1-1-1-11-1-111-1-1-1-11-1-1-1-11111-1-1111111-1-11-1-11-11
χ12111111111111-1-1-1-1111-1-1-1-1-1-11-1-111-1-1-1-11-1-1-1-11111-1-11111-1-111-111-11-1
χ13111111111111-1-1-1-1111-1-1-1-1-1-1-11-1-1-111-1-1-11-111-1-11111-1-11111-1-1-111-1-11
χ14111111111111-1-1-1-1111-1-1-1-1-1-1-11-1-1-111-1-1-11-111-1-11111-1-111-1-1111-1-111-1
χ15111111111111-1-1-1-1111-1-1-1-1-1-1-1-11-1-1-1-111-1-111111-1-11111-1-111-1-1-11-111-1
χ16111111111111-1-1-1-1111-1-1-1-1-1-1-1-11-1-1-1-111-1-111111-1-11111-1-1-1-1111-11-1-11
χ172222222222-2-20000-2-2-200000022-22-22-22-2-2-220000000000000000000000
χ182222222222-2-20000-2-2-20000002-222-2-22-22-22-20000000000000000000000
χ192222222222-2-20000-2-2-2000000-222-222-2-222-2-20000000000000000000000
χ202222222222-2-20000-2-2-2000000-2-2-2-22-222-22220000000000000000000000
χ21222222-2-2-2-22222222-2-222-2-2-2-20020000-2-20020000-2-20000220000000000
χ22222222-2-2-2-22222222-2-222-2-2-2-200-200002200-20000220000-2-20000000000
χ23222222-2-2-2-222-2-2-2-22-2-2-2-222220020000-2-20020000220000-2-20000000000
χ24222222-2-2-2-222-2-2-2-22-2-2-2-2222200-200002200-20000-2-20000220000000000
χ25222222-2-2-2-2-2-20000-22200000000200002-200-22i−2i2i−2i002i−2i2i−2i000000000000
χ26222222-2-2-2-2-2-20000-22200000000200002-200-2−2i2i−2i2i00−2i2i−2i2i000000000000
χ27222222-2-2-2-2-2-20000-22200000000-20000-220022i−2i−2i2i002i−2i−2i2i000000000000
χ28222222-2-2-2-2-2-20000-22200000000-20000-22002−2i2i2i−2i00−2i2i2i−2i000000000000
χ292222-2-222-2-2222222-22-2-2-222-2-202000-2-20002000-2-2000022000000000000
χ302222-2-222-2-2222222-22-2-2-222-2-20-200022000-2000220000-2-2000000000000
χ312222-2-222-2-222-2-2-2-2-22-222-2-22202000-2-20002000220000-2-2000000000000
χ322222-2-222-2-222-2-2-2-2-22-222-2-2220-200022000-2000-2-2000022000000000000
χ332222-2-222-2-2-2-200002-2200000002000-22000-202i−2i002i−2i−2i2i002i−2i0000000000
χ342222-2-222-2-2-2-200002-2200000002000-22000-20−2i2i00−2i2i2i−2i00−2i2i0000000000
χ352222-2-222-2-2-2-200002-220000000-20002-2000202i−2i00−2i2i−2i2i00−2i2i0000000000
χ362222-2-222-2-2-2-200002-220000000-20002-200020−2i2i002i−2i2i−2i002i−2i0000000000
χ372222-2-2-2-222222222-2-22-2-2-2-222200-2-20000200-2-200002200000000000000
χ382222-2-2-2-222222222-2-22-2-2-2-222-200220000-200220000-2-200000000000000
χ392222-2-2-2-22222-2-2-2-2-2-222222-2-2200-2-20000200220000-2-200000000000000
χ402222-2-2-2-22222-2-2-2-2-2-222222-2-2-200220000-200-2-200002200000000000000
χ412222-2-2-2-222-2-2000022-2000000200-220000-200002i−2i2i−2i00−2i2i−2i2i0000000000
χ422222-2-2-2-222-2-2000022-2000000200-220000-20000−2i2i−2i2i002i−2i2i−2i0000000000
χ432222-2-2-2-222-2-2000022-2000000-2002-20000200002i−2i−2i2i00−2i2i2i−2i0000000000
χ442222-2-2-2-222-2-2000022-2000000-2002-2000020000−2i2i2i−2i002i−2i−2i2i0000000000
χ4544-4-44-44-44-4002i22i2−2i2−2i20002i2−2i22i2−2i22i2−2i20000000000000000000000000000000000
χ4644-4-44-44-44-400−2i2−2i22i22i2000−2i22i2−2i22i2−2i22i20000000000000000000000000000000000
χ4744-4-44-4-44-44002i22i2−2i2−2i20002i2−2i2−2i22i2−2i22i20000000000000000000000000000000000
χ4844-4-44-4-44-4400−2i2−2i22i22i2000−2i22i22i2−2i22i2−2i20000000000000000000000000000000000
χ4944-4-4-444-4-44002i22i2−2i2−2i2000−2i22i22i2−2i2−2i22i20000000000000000000000000000000000
χ5044-4-4-444-4-4400−2i2−2i22i22i20002i2−2i2−2i22i22i2−2i20000000000000000000000000000000000
χ5144-4-4-44-444-4002i22i2−2i2−2i2000−2i22i2−2i22i22i2−2i20000000000000000000000000000000000
χ5244-4-4-44-444-400−2i2−2i22i22i20002i2−2i22i2−2i2−2i22i20000000000000000000000000000000000
χ534-4-44000000-444-44-40000000000000000000000000000000002-22-2000000
χ544-4-44000000-444-44-4000000000000000000000000000000000-22-22000000
χ554-4-44000000-44-44-440000000000000000000000000000000002-2-22000000
χ564-4-44000000-44-44-44000000000000000000000000000000000-222-2000000
χ578-88-8000000004i2−4i2−4i24i20000000000000000000000000000000000000000000
χ588-88-800000000−4i24i24i2−4i20000000000000000000000000000000000000000000
χ598-8-880000008-800000000000000000000000000000000000000000000000

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