Finite Group Databasebeta

← Group #347331

Character table — Group #347331

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111222222224444488888888888888888888888888888881616161616161616323232
order12222244444444444222244444444444444444444444888844888888288
χ111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-111-1-1-1111-1-1-1-1-1111-1-1-1-1-1-1-1111111-1-111-1-1-11-1
χ411111111111111111111-111-1-1-1111-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-11
χ51111111111111111111-111-11-1-1-1-1-1111-1-1-1-1-1111-1-1-1-1111111-1-1-1-111-1-11
χ61111111111111111111-111-11-1-1-1-1-1111-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-11111-1-111-1
χ71111111111111111111-1-11-1-111-1-1-1-1-1-111-1-1-1-1-1-1111111111111-1-1-1-11-1-1
χ81111111111111111111-1-11-1-111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-111
χ9111111111111-1-1111-1-111-111111-1-11-1-1111-1-11-1-1-1-1-1-11111-1-1111111-1-1-1
χ10111111111111-1-1111-1-111-111111-1-11-1-1111-1-11-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111
χ11111111111111-1-1111-1-11-1-11-1-1-11-1-1-111-1-11-1-1-11111111111-1-1-1-111-1-11-11
χ12111111111111-1-1111-1-11-1-11-1-1-11-1-1-111-1-11-1-1-1111111-1-1-1-11111-1-111-11-1
χ13111111111111-1-1111-1-1-11-1-11-1-1-1111-1-1-1-1-1111-1-111111111-1-1-1-1-1-11111-1
χ14111111111111-1-1111-1-1-11-1-11-1-1-1111-1-1-1-1-1111-1-11111-1-1-1-1111111-1-1-1-11
χ15111111111111-1-1111-1-1-1-1-1-1-111-111-11111-111-111-1-1-1-11111-1-111-1-1-1-1-111
χ16111111111111-1-1111-1-1-1-1-1-1-111-111-11111-111-111-1-1-1-1-1-1-1-111-1-111111-1-1
χ1722222222-222-200-2-2-20022022-2-2-200-20022-200-2000000000000000000000
χ1822222222-222-200-2-2-2002-202-222-200200-2-2-2002000000000000000000000
χ1922222222-222-200-2-2-200-220-2222200-200-2-2200-2000000000000000000000
χ2022222222-222-200-2-2-200-2-20-2-2-2-2200200222002000000000000000000000
χ21222222-2-22-2-2222-2-22-2-2002002-20000002-200000022-2-2000000000000000
χ22222222-2-22-2-2222-2-22-2-200200-22000000-22000000-2-222000000000000000
χ23222222-2-22-2-22-2-2-2-222200-2002-20000002-2000000-2-222000000000000000
χ24222222-2-22-2-22-2-2-2-222200-200-22000000-2200000022-2-2000000000000000
χ25222222-2-2-2-2-2-20022-200000002-202-202-2-2202-202-20000000000000000000
χ26222222-2-2-2-2-2-20022-200000002-20-220-22-220-220-220000000000000000000
χ27222222-2-2-2-2-2-20022-20000000-2202-20-222-202-20-220000000000000000000
χ28222222-2-2-2-2-2-20022-20000000-220-2202-22-20-2202-20000000000000000000
χ292222-2-22-222-22222-2-22-202-20-200000-222000002-2-20000000000000000000
χ302222-2-22-222-22222-2-22-20-2-202000002-2-200000-2220000000000000000000
χ312222-2-22-222-22-2-22-2-2-220220-200000-2-2-2000002220000000000000000000
χ322222-2-22-222-22-2-22-2-2-220-22020000022200000-2-2-20000000000000000000
χ332222-2-22-2-22-2-200-222000200-20002-2200000-22-2002-22-2000000000000000
χ342222-2-22-2-22-2-200-222000200-2000-222000002-2-200-22-22000000000000000
χ352222-2-22-2-22-2-200-222000-20020002-2-200000-22200-22-22000000000000000
χ362222-2-22-2-22-2-200-222000-2002000-22-2000002-22002-22-2000000000000000
χ372222-2-2-222-22222-22-2-2220-2-2000-222000002-2-20000000000000000000000
χ382222-2-2-222-22222-22-2-22-20-220002-2-200000-2220000000000000000000000
χ392222-2-2-222-222-2-2-22-22-2202-2000-2-2-2000002220000000000000000000000
χ402222-2-2-222-222-2-2-22-22-2-202200022200000-2-2-20000000000000000000000
χ412222-2-2-22-2-22-2002-2200200-200020002-200-2000-22-222-2000000000000000
χ422222-2-2-22-2-22-2002-2200200-20002000-2200-20002-22-2-22000000000000000
χ432222-2-2-22-2-22-2002-2200-2002000-20002-2002000-222-2-22000000000000000
χ442222-2-2-22-2-22-2002-2200-2002000-2000-220020002-2-222-2000000000000000
χ4544-4-44-4440-4-400000000000000000000000000000000000000022−220000000
χ4644-4-44-4440-4-4000000000000000000000000000000000000000−22220000000
χ4744-4-44-4-4-40440000000000000000000000000000000002i22i2−2i2−2i200000000000
χ4844-4-44-4-4-4044000000000000000000000000000000000−2i2−2i22i22i200000000000
χ4944-4-4-444-40-44000000000000000000000000000000000000000002i2−2i200000
χ5044-4-4-444-40-4400000000000000000000000000000000000000000−2i22i200000
χ5144-4-4-44-4404-400000000000000000000000000000000000000000002i2−2i2000
χ5244-4-4-44-4404-40000000000000000000000000000000000000000000−2i22i2000
χ534-4-440000400-44i−4i0000000000000000000000000000002-22-22i−2i000000000
χ544-4-440000400-44i−4i000000000000000000000000000000-22-22−2i2i000000000
χ554-4-440000400-4−4i4i0000000000000000000000000000002-22-2−2i2i000000000
χ564-4-440000400-4−4i4i000000000000000000000000000000-22-222i−2i000000000
χ578-88-800000000000000000000000000000000000000002i2−2i2−2i22i200000000000
χ588-88-80000000000000000000000000000000000000000−2i22i22i2−2i200000000000
χ598-8-880000-800800000000000000000000000000000000000000000000000

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