Finite Group Databasebeta

← Group #348054

Character table — Group #348054

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size111122224444444444444444444448888888888888888888816161616323232323232
order12222244224444444888888888888222444444488888888884444248888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1
χ4111111111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111
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
χ711111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-11111-1-1111111-1-11-1-1-111
χ811111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-11111-1-11111-1-111-1111-1-1
χ911111111-1-1111-1-11111111111-1-1-1-1-11-11-1-11-11-111-1-1-1-111-1-11111-1-11-11-1
χ1011111111-1-1111-1-11111111111-1-1-1-1-11-11-1-11-11-111-1-1-1-111-1-1-1-1-1-111-11-11
χ1111111111-1-1111-1-11111111111-1-1-1-1-1-11-11-1-11-11-1-111-1-1-1-1111111-1-1-11-11
χ1211111111-1-1111-1-11111111111-1-1-1-1-1-11-11-1-11-11-1-111-1-1-1-111-1-1-1-1111-11-1
χ1311111111-1-1111-1-111-1-1-1-1-1-1-1-11111-11-11-1-11-11-1-1-11111-1-11111-1-1-111-1-11
χ1411111111-1-1111-1-111-1-1-1-1-1-1-1-11111-11-11-1-11-11-1-1-11111-1-111-1-1111-1-111-1
χ1511111111-1-1111-1-111-1-1-1-1-1-1-1-11111-1-11-11-1-11-1111-1-11111-1-111-1-1-11-111-1
χ1611111111-1-1111-1-111-1-1-1-1-1-1-1-11111-1-11-11-1-11-1111-1-11111-1-1-1-1111-11-1-11
χ172222222222-2-2222-2-22222-2-2-2-22222-20000-200000000-2-200000000000000
χ182222222222-2-2222-2-2-2-2-2-22222-2-2-2-2-20000-2000000002200000000000000
χ1922222222-2-2-2-22-2-2-2-22222-2-2-2-2-2-2-2-2200002000000002200000000000000
χ2022222222-2-2-2-22-2-2-2-2-2-2-2-22222222220000200000000-2-200000000000000
χ21222222-2-22222-2-2-2-2-200000000000020000-200002i−2i2i−2i002i−2i2i−2i0000000000
χ22222222-2-22222-2-2-2-2-200000000000020000-20000−2i2i−2i2i00−2i2i−2i2i0000000000
χ23222222-2-222-2-2-2-2-222000000000000-222222-2-2-2-200000000000000000000
χ24222222-2-222-2-2-2-2-222000000000000-2-2-2-2-22222200000000000000000000
χ25222222-2-2-2-222-222-2-2000000000000-20000200002i−2i−2i2i002i−2i−2i2i0000000000
χ26222222-2-2-2-222-222-2-2000000000000-2000020000−2i2i2i−2i00−2i2i2i−2i0000000000
χ27222222-2-2-2-2-2-2-2222200000000000022-22-2-2-22-2200000000000000000000
χ28222222-2-2-2-2-2-2-222220000000000002-22-22-22-22-200000000000000000000
χ292222-2-222002-2-2002-222-2-222-2-200000020-20020-200220000-2-20000000000
χ302222-2-222002-2-2002-222-2-222-2-2000000-20200-20200-2-20000220000000000
χ312222-2-222002-2-2002-2-2-222-2-22200000020-20020-200-2-20000220000000000
χ322222-2-222002-2-2002-2-2-222-2-222000000-20200-20200220000-2-20000000000
χ332222-2-22200-22-200-2222-2-2-2-2220000020-20020-20-2-2000022000000000000
χ342222-2-22200-22-200-2222-2-2-2-22200000-20200-2020220000-2-2000000000000
χ352222-2-22200-22-200-22-2-22222-2-20000020-20020-20220000-2-2000000000000
χ362222-2-22200-22-200-22-2-22222-2-200000-20200-2020-2-2000022000000000000
χ372222-2-2-2-2002-2200-22000000002i2i−2i−2i020-200-2020002i−2i2i−2i00−2i2i0000000000
χ382222-2-2-2-2002-2200-22000000002i2i−2i−2i0-2020020-2000−2i2i2i−2i002i−2i0000000000
χ392222-2-2-2-2002-2200-2200000000−2i−2i2i2i020-200-202000−2i2i−2i2i002i−2i0000000000
χ402222-2-2-2-2002-2200-2200000000−2i−2i2i2i0-2020020-20002i−2i−2i2i00−2i2i0000000000
χ412222-2-2-2-200-222002-2000000002i2i−2i−2i0020-200-202−2i2i00−2i2i2i−2i000000000000
χ422222-2-2-2-200-222002-2000000002i2i−2i−2i00-2020020-22i−2i00−2i2i−2i2i000000000000
χ432222-2-2-2-200-222002-200000000−2i−2i2i2i0020-200-2022i−2i002i−2i−2i2i000000000000
χ442222-2-2-2-200-222002-200000000−2i−2i2i2i00-2020020-2−2i2i002i−2i2i−2i000000000000
χ4544-4-44-400000004i−4i002i2−2i22i2−2i2000022−2222−22000000000000000000000000000000
χ4644-4-44-400000004i−4i00−2i22i2−2i22i20000−2222−2222000000000000000000000000000000
χ4744-4-44-40000000−4i4i002i2−2i22i2−2i20000−2222−2222000000000000000000000000000000
χ4844-4-44-40000000−4i4i00−2i22i2−2i22i2000022−2222−22000000000000000000000000000000
χ4944-4-4-44004-400000002i2−2i2−2i22i200002i2−2i2−2i22i2000000000000000000000000000000
χ5044-4-4-44004-40000000−2i22i22i2−2i20000−2i22i22i2−2i2000000000000000000000000000000
χ5144-4-4-4400-4400000002i2−2i2−2i22i20000−2i22i22i2−2i2000000000000000000000000000000
χ5244-4-4-4400-440000000−2i22i22i2−2i200002i2−2i2−2i22i2000000000000000000000000000000
χ534-44-4004-40000000000000004i−4i0000000000000000000000002-22i−2i000000
χ544-44-4004-40000000000000004i−4i000000000000000000000000-22−2i2i000000
χ554-44-4004-4000000000000000−4i4i0000000000000000000000002-2−2i2i000000
χ564-44-4004-4000000000000000−4i4i000000000000000000000000-222i−2i000000
χ578-88-800-88000000000000000000000000000000000000000000000000000
χ588-8-880000000000000000042−42000000000000000000000000000000000000
χ598-8-8800000000000000000−4242000000000000000000000000000000000000

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