Finite Group Databasebeta

← Group #347367

Character table — Group #347367

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111222222224444488888888888888888888888888888881616161616161616323232
order12222244444444444222222444444444444444444444888844888888488
χ111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-11-1-11111-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-11-1-1
χ4111111111111111111111-1-11-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111
χ51111111111111111111-1-11-111-1-1-1-1-1111-1-1-1-1-1111-1-1-1111111-1-111-1-1-11-1
χ61111111111111111111-1-11-111-1-1-1-1-1111-1-1-1-1-1111-1-1-1-1-1-1-1-1-111-1-1111-11
χ71111111111111111111-1-1-111-11-1-1-1-1-1-1-1111-1-1-1-1-1111111111-1-1-1-111-1-11
χ81111111111111111111-1-1-111-11-1-1-1-1-1-1-1111-1-1-1-1-1111-1-1-1-1-1-11111-1-111-1
χ9111111111111-1-1111-1-11111-111-1-1-1-11-1-11-1-1111-1-11-1-11111-1-1111111-1-1-1
χ10111111111111-1-1111-1-11111-111-1-1-1-11-1-11-1-1111-1-11-1-1-1-1-1-111-1-1-1-1-1-1111
χ11111111111111-1-1111-1-111-1-1-1-1-1-1-1-1-1-111-11111-111-1111111-1-111-1-1-1-1-111
χ12111111111111-1-1111-1-111-1-1-1-1-1-1-1-1-1-111-11111-111-111-1-1-1-111-1-111111-1-1
χ13111111111111-1-1111-1-1-1-11-1-11-111111-1-1-111-1-11-1-1-1111111-1-1-1-111-1-11-11
χ14111111111111-1-1111-1-1-1-11-1-11-111111-1-1-111-1-11-1-1-111-1-1-1-11111-1-111-11-1
χ15111111111111-1-1111-1-1-1-1-11-1-111111-1111-1-1-1-1-1111-1-11111-1-1-1-1-1-11111-1
χ16111111111111-1-1111-1-1-1-1-11-1-111111-1111-1-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-11
χ1722222222-222-200-2-2-200222-202-20000-200200-2-2-200200000000000000000
χ1822222222-222-200-2-2-20022-220-220000200-200-2-2200-200000000000000000
χ1922222222-222-200-2-2-200-2-2220220000-200-20022-200-200000000000000000
χ2022222222-222-200-2-2-200-2-2-2-20-2-2000020020022200200000000000000000
χ21222222-2-22-2-2222-2-22-2-22-20020022-2-20000002-2000000000000000000000
χ22222222-2-22-2-2222-2-22-2-2-2200200-2-222000000-22000000000000000000000
χ23222222-2-22-2-22-2-2-2-22222-200-200-2-2220000002-2000000000000000000000
χ24222222-2-22-2-22-2-2-2-2222-2200-20022-2-2000000-22000000000000000000000
χ25222222-2-2-2-2-2-20022-2002-200000000002-202-2-2202-202-2000000000000000
χ26222222-2-2-2-2-2-20022-2002-20000000000-220-22-220-220-22000000000000000
χ27222222-2-2-2-2-2-20022-200-2200000000002-20-222-202-20-22000000000000000
χ28222222-2-2-2-2-2-20022-200-220000000000-2202-22-20-2202-2000000000000000
χ292222-2-22-222-22222-2-22-20002-20-20000000-222000002-2-2000000000000000
χ302222-2-22-222-22222-2-22-2000-2-20200000002-2-200000-222000000000000000
χ312222-2-22-222-22-2-22-2-2-22000220-20000000-2-2-200000222000000000000000
χ322222-2-22-222-22-2-22-2-2-22000-2202000000022200000-2-2-2000000000000000
χ332222-2-22-2-22-2-200-22200000200-22-22-202-2200000-22-200000000000000000
χ342222-2-22-2-22-2-200-22200000200-2-22-220-222000002-2-200000000000000000
χ352222-2-22-2-22-2-200-22200000-20022-22-20-22-2000002-2200000000000000000
χ362222-2-22-2-22-2-200-22200000-2002-22-2202-2-200000-22200000000000000000
χ372222-2-2-222-22222-22-2-220020-2-200000-222000002-2-2000000000000000000
χ382222-2-2-222-22222-22-2-2200-20-22000002-2-200000-222000000000000000000
χ392222-2-2-222-222-2-2-22-22-200202-200000-2-2-200000222000000000000000000
χ402222-2-2-222-222-2-2-22-22-200-20220000022200000-2-2-2000000000000000000
χ412222-2-2-22-2-22-2002-220000200-202-2-222000-2200-20002-2000000000000000
χ422222-2-2-22-2-22-2002-220000200-20-222-220002-200-2000-22000000000000000
χ432222-2-2-22-2-22-2002-220000-200202-2-22-20002-2002000-22000000000000000
χ442222-2-2-22-2-22-2002-220000-20020-222-2-2000-220020002-2000000000000000
χ4544-4-44-44-40-44000000000000000000000000000000000000000000022−22000
χ4644-4-44-44-40-440000000000000000000000000000000000000000000−2222000
χ4744-4-44-4-4404-40000000000000000000000000000000000000000022−2200000
χ4844-4-44-4-4404-400000000000000000000000000000000000000000−222200000
χ4944-4-4-44440-4-40000000000000000000000000000000002222−22−2200000000000
χ5044-4-4-44440-4-4000000000000000000000000000000000−22−22222200000000000
χ5144-4-4-44-4-40440000000000000000000000000000000000000002i2−2i20000000
χ5244-4-4-44-4-4044000000000000000000000000000000000000000−2i22i20000000
χ534-4-440000400-44i−4i0000000000000000000000000000002i−2i2i−2i2-2000000000
χ544-4-440000400-44i−4i000000000000000000000000000000−2i2i−2i2i-22000000000
χ554-4-440000400-4−4i4i0000000000000000000000000000002i−2i2i−2i-22000000000
χ564-4-440000400-4−4i4i000000000000000000000000000000−2i2i−2i2i2-2000000000
χ578-88-800000000000000000000000000000000000000002i2−2i2−2i22i200000000000
χ588-88-80000000000000000000000000000000000000000−2i22i22i2−2i200000000000
χ598-8-880000-800800000000000000000000000000000000000000000000000

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