Finite Group Databasebeta

← Group #348034

Character table — Group #348034

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size111122222222444444444444444888888888888888888888816161616323232323232
order12222244888822444444488888822244444448888888888884444248888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-11-1-1-1-111-1-1-1-111-1-1-1-1111111-1-1-1-1
χ41111111111111111111111111111-1-1-1-11-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111
χ5111111111111-1-1111-1-11111-1-1-1-1-11-11-1-11-11-11111-1-1-1-111-1-11111-1-111-1-1
χ6111111111111-1-1111-1-11111-1-1-1-1-11-11-1-11-11-11111-1-1-1-111-1-1-1-1-1-111-1-111
χ7111111111111-1-1111-1-11111-1-1-1-1-1-11-11-1-11-1111-1-111-1-1-1-1111111-1-1-1-111
χ8111111111111-1-1111-1-11111-1-1-1-1-1-11-11-1-11-1111-1-111-1-1-1-111-1-1-1-11111-1-1
χ911111111-1-1-1-1111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-11-11-1
χ1011111111-1-1-1-1111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-11-11
χ1111111111-1-1-1-1111111111-1-1-1-1-1-11-1-1-1-11-1-1-1-1-1-11111-1-1111111-1-11-1-11-11
χ1211111111-1-1-1-1111111111-1-1-1-1-1-11-1-1-1-11-1-1-1-1-1-11111-1-11111-1-111-111-11-1
χ1311111111-1-1-1-1-1-1111-1-111-1-11111-11-11-1-11-11-1-1-1-1-11111-1-11111-1-1-111-1-11
χ1411111111-1-1-1-1-1-1111-1-111-1-11111-11-11-1-11-11-1-1-1-1-11111-1-111-1-1111-1-111-1
χ1511111111-1-1-1-1-1-1111-1-111-1-11111-1-11-11-1-11-11-1-111-1-11111-1-111-1-1-11-111-1
χ1611111111-1-1-1-1-1-1111-1-111-1-11111-1-11-11-1-11-11-1-111-1-11111-1-1-1-1111-11-1-11
χ1722222222222222-2-2222-2-2222222-20000-20000-2-20000-2-200000000000000
χ18222222222222-2-2-2-22-2-2-2-222-2-2-2-22000020000-2-200002200000000000000
χ1922222222-2-2-2-222-2-2222-2-2-2-2-2-2-2-2-20000-200002200002200000000000000
χ2022222222-2-2-2-2-2-2-2-22-2-2-2-2-2-222222000020000220000-2-200000000000000
χ21222222-2-200002222-2-2-2-2-200000020000-20000002i−2i2i−2i002i−2i2i−2i0000000000
χ22222222-2-200002222-2-2-2-2-200000020000-2000000−2i2i−2i2i00−2i2i−2i2i0000000000
χ23222222-2-2000022-2-2-2-2-222000000-222222-2-2-2-20000000000000000000000
χ24222222-2-2000022-2-2-2-2-222000000-2-2-2-2-2222220000000000000000000000
χ25222222-2-20000-2-222-222-2-2000000-2000020000002i−2i−2i2i002i−2i−2i2i0000000000
χ26222222-2-20000-2-222-222-2-2000000-200002000000−2i2i2i−2i00−2i2i2i−2i0000000000
χ27222222-2-20000-2-2-2-2-2222200000022-22-2-2-22-220000000000000000000000
χ28222222-2-20000-2-2-2-2-222220000002-22-22-22-22-20000000000000000000000
χ292222-2-2222222002-2-2002-2-2-200000020-20020-22-200-2-20000220000000000
χ302222-2-2222222002-2-2002-2-2-2000000-20200-2022-200220000-2-20000000000
χ312222-2-222222200-22-200-22-2-20000020-20020-20-22-2-2000022000000000000
χ322222-2-222222200-22-200-22-2-200000-20200-2020-22220000-2-2000000000000
χ332222-2-222-2-2-2-2002-2-2002-22200000020-20020-2-2200220000-2-20000000000
χ342222-2-222-2-2-2-2002-2-2002-222000000-20200-202-2200-2-20000220000000000
χ352222-2-222-2-2-2-200-22-200-22220000020-20020-202-2220000-2-2000000000000
χ362222-2-222-2-2-2-200-22-200-222200000-20200-20202-2-2-2000022000000000000
χ372222-2-2-2-20000002-2200-22002i2i−2i−2i020-200-202000002i−2i2i−2i00−2i2i0000000000
χ382222-2-2-2-20000002-2200-22002i2i−2i−2i0-2020020-200000−2i2i2i−2i002i−2i0000000000
χ392222-2-2-2-20000002-2200-2200−2i−2i2i2i020-200-20200000−2i2i−2i2i002i−2i0000000000
χ402222-2-2-2-20000002-2200-2200−2i−2i2i2i0-2020020-2000002i−2i−2i2i00−2i2i0000000000
χ412222-2-2-2-2000000-222002-2002i2i−2i−2i0020-200-202002i−2i00−2i2i−2i2i000000000000
χ422222-2-2-2-2000000-222002-2002i2i−2i−2i00-2020020-200−2i2i00−2i2i2i−2i000000000000
χ432222-2-2-2-2000000-222002-200−2i−2i2i2i0020-200-20200−2i2i002i−2i2i−2i000000000000
χ442222-2-2-2-2000000-222002-200−2i−2i2i2i00-2020020-2002i−2i002i−2i−2i2i000000000000
χ4544-4-44-4002i22i2−2i2−2i2000004i−4i002i2−2i222−2222−2200000000000000000000000000000000
χ4644-4-44-4002i22i2−2i2−2i200000−4i4i002i2−2i2−2222−222200000000000000000000000000000000
χ4744-4-44-400−2i2−2i22i22i2000004i−4i00−2i22i2−2222−222200000000000000000000000000000000
χ4844-4-44-400−2i2−2i22i22i200000−4i4i00−2i22i222−2222−2200000000000000000000000000000000
χ4944-4-4-44002i22i2−2i2−2i24-40000000−2i22i22i2−2i2−2i22i200000000000000000000000000000000
χ5044-4-4-44002i22i2−2i2−2i2-440000000−2i22i2−2i22i22i2−2i200000000000000000000000000000000
χ5144-4-4-4400−2i2−2i22i22i24-400000002i2−2i2−2i22i22i2−2i200000000000000000000000000000000
χ5244-4-4-4400−2i2−2i22i22i2-4400000002i2−2i22i2−2i2−2i22i200000000000000000000000000000000
χ534-44-4004-44i−4i4i−4i00000000000000000000000000000000000002-22i−2i000000
χ544-44-4004-44i−4i4i−4i0000000000000000000000000000000000000-22−2i2i000000
χ554-44-4004-4−4i4i−4i4i00000000000000000000000000000000000002-2−2i2i000000
χ564-44-4004-4−4i4i−4i4i0000000000000000000000000000000000000-222i−2i000000
χ578-88-800-88000000000000000000000000000000000000000000000000000
χ588-8-88000042−42−424200000000000000000000000000000000000000000000000
χ598-8-880000−424242−4200000000000000000000000000000000000000000000000

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