Finite Group Databasebeta

← Group #348158

Character table — Group #348158

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size111122224444444444444444444448888888888888888888816161616323232323232
order12222244222244444888888888888224444444488888888882244448888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1
χ411111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-11-111-1-1
χ611111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-11-1-111
χ711111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1111111-1-11-1-1-111
χ811111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-11111-1-111-1111-1-1
χ91111111111-1-11-1-1111111-1-1-1-1-1-1-1-11-1-1-111-1-11-111-1-11111-1-111-1-1-111-11-1
χ101111111111-1-11-1-1111111-1-1-1-1-1-1-1-11-1-1-111-1-11-111-1-11111-1-1-1-1111-1-11-11
χ111111111111-1-11-1-1111111-1-1-1-1-1-1-1-1-11-1-1-1-111-11-1-11111-1-11111-1-1-11-11-11
χ121111111111-1-11-1-1111111-1-1-1-1-1-1-1-1-11-1-1-1-111-11-1-11111-1-111-1-1111-11-11-1
χ131111111111-1-11-1-111-1-1-1-1111111111-1-1-111-1-11-1-1-111-1-1-1-1111111-1-11-1-11
χ141111111111-1-11-1-111-1-1-1-1111111111-1-1-111-1-11-1-1-111-1-1-1-111-1-1-1-111-111-1
χ151111111111-1-11-1-111-1-1-1-111111111-11-1-1-1-111-1111-1-1-1-111-1-11111-1-1-111-1
χ161111111111-1-11-1-111-1-1-1-111111111-11-1-1-1-111-1111-1-1-1-111-1-1-1-1-1-1111-1-11
χ1722222222-2-222222-2-222222222-2-2-2-200-2-20000000000-2-200000000000000
χ1822222222-2-222222-2-2-2-2-2-2-2-2-2-2222200-2-200000000002200000000000000
χ1922222222-2-2-2-22-2-2-2-22222-2-2-2-2222200220000000000-2-200000000000000
χ2022222222-2-2-2-22-2-2-2-2-2-2-2-22222-2-2-2-2002200000000002200000000000000
χ21222222-2-22222-2-2-2-2-2000000000000002-20000002i−2i2i−2i002i−2i2i−2i0000000000
χ22222222-2-22222-2-2-2-2-2000000000000002-2000000−2i2i−2i2i00−2i2i−2i2i0000000000
χ23222222-2-222-2-2-222-2-200000000000000-220000002i−2i−2i2i002i−2i−2i2i0000000000
χ24222222-2-222-2-2-222-2-200000000000000-22000000−2i2i2i−2i00−2i2i2i−2i0000000000
χ25222222-2-2-2-222-2-2-22200000000000022-222-22-2-2-200000000000000000000
χ26222222-2-2-2-222-2-2-222000000000000-2-2-22-22-222200000000000000000000
χ27222222-2-2-2-2-2-2-222220000000000002-22-22-2-22-2200000000000000000000
χ28222222-2-2-2-2-2-2-22222000000000000-222-2-222-22-200000000000000000000
χ292222-2-2222-200-2002-2000022-2-222-2-2020000-2-202220000-2-2000000000000
χ302222-2-2222-200-2002-2000022-2-222-2-20-20000220-2-2-2000022000000000000
χ312222-2-2222-200-2002-20000-2-222-2-222020000-2-202-2-2000022000000000000
χ322222-2-2222-200-2002-20000-2-222-2-2220-20000220-2220000-2-2000000000000
χ332222-2-222-2200-200-22000022-2-2-2-2222000-2-2002000-2-20000220000000000
χ342222-2-222-2200-200-22000022-2-2-2-222-20002200-2000220000-2-20000000000
χ352222-2-222-2200-200-220000-2-22222-2-22000-2-2002000220000-2-20000000000
χ362222-2-222-2200-200-220000-2-22222-2-2-20002200-2000-2-20000220000000000
χ372222-2-2-2-22-200200-222i2i−2i−2i000000002000-2200-202i−2i002i−2i−2i2i000000000000
χ382222-2-2-2-22-200200-222i2i−2i−2i00000000-20002-20020−2i2i002i−2i2i−2i000000000000
χ392222-2-2-2-22-200200-22−2i−2i2i2i000000002000-2200-20−2i2i00−2i2i2i−2i000000000000
χ402222-2-2-2-22-200200-22−2i−2i2i2i00000000-20002-200202i−2i00−2i2i−2i2i000000000000
χ412222-2-2-2-2-22002002-22i2i−2i−2i00000000020000-220-200−2i2i−2i2i002i−2i0000000000
χ422222-2-2-2-2-22002002-22i2i−2i−2i000000000-200002-202002i−2i−2i2i00−2i2i0000000000
χ432222-2-2-2-2-22002002-2−2i−2i2i2i00000000020000-220-2002i−2i2i−2i00−2i2i0000000000
χ442222-2-2-2-2-22002002-2−2i−2i2i2i000000000-200002-20200−2i2i2i−2i002i−2i0000000000
χ4544-4-44-400000004i−4i0022−2222−222i2−2i22i2−2i20000000000000000000000000000000000
χ4644-4-44-400000004i−4i00−2222−2222−2i22i2−2i22i20000000000000000000000000000000000
χ4744-4-44-40000000−4i4i0022−2222−22−2i22i2−2i22i20000000000000000000000000000000000
χ4844-4-44-40000000−4i4i00−2222−22222i2−2i22i2−2i20000000000000000000000000000000000
χ4944-4-4-4400004-4000002i2−2i2−2i22i22i2−2i2−2i22i20000000000000000000000000000000000
χ5044-4-4-4400004-400000−2i22i22i2−2i2−2i22i22i2−2i20000000000000000000000000000000000
χ5144-4-4-440000-44000002i2−2i2−2i22i2−2i22i22i2−2i20000000000000000000000000000000000
χ5244-4-4-440000-4400000−2i22i22i2−2i22i2−2i2−2i22i20000000000000000000000000000000000
χ534-4-4400-4400000000000000000004-4000000000000000000002-22-2000000
χ544-4-4400-4400000000000000000004-400000000000000000000-22-22000000
χ554-4-4400-440000000000000000000-44000000000000000000002-2-22000000
χ564-4-4400-440000000000000000000-4400000000000000000000-222-2000000
χ578-88-80000000000000000000004i2−4i200000000000000000000000000000000
χ588-88-8000000000000000000000−4i24i200000000000000000000000000000000
χ598-8-88008-8000000000000000000000000000000000000000000000000000

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