Finite Group Databasebeta

← Group #347231

Character table — Group #347231

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111222222224444444444444444488888888888888888888888881616161616161616323232
order12222244444422444444444444444222222244444444444444888844888888288
χ111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11-1-1-11111-1-1111111-1-1-1
χ4111111111111111111111111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11-1-1-1-1-1-1-111-1-1-1-1-1-1111
χ51111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-11-1-1-11111-1-11111111111-1-111-1-1-11-1
χ61111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-11-1-1-11111-1-11111-1-1-1-1-1-111-1-1111-11
χ71111111111111111-1-1-1-1-1-1-1-1-1-1111-11111111-1-1-1-1-1-1-1111-1-1-11111-1-1-1-111-1-11-11
χ81111111111111111-1-1-1-1-1-1-1-1-1-1111-11111111-1-1-1-1-1-1-1111-1-1-1-1-1-1-11111-1-111-11-1
χ9111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-11-1-111-1-111-11-1-1111111-1-1-1-111-1-11
χ10111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-11-1-111-1-111-11-1-1-1-1-1-1-1-11111-1-111-1
χ11111111111111-1-1-1-11111-1-1-1-1-1-11111-1-11111-11-1-1-1-111-1-1-1-1111111-1-1-1-1-1-11111-1
χ12111111111111-1-1-1-11111-1-1-1-1-1-11111-1-11111-11-1-1-1-111-1-1-1-111-1-1-1-1111111-1-1-1-11
χ13111111111111-1-1-1-1-1-1-1-1111111111-1-1-11111-1-11111-1-1-1-1-11-1-111111111-1-1-1-11-1-1
χ14111111111111-1-1-1-1-1-1-1-1111111111-1-1-11111-1-11111-1-1-1-1-11-1-1-1-1-1-1-1-1-1-11111-111
χ15111111111111-1-1-1-1-1-1-1-11111-1-1111-111-1-1-1-1-1-111-1-11111-1-1111111-1-111-1-1-1-1-111
χ16111111111111-1-1-1-1-1-1-1-11111-1-1111-111-1-1-1-1-1-111-1-11111-1-111-1-1-1-111-1-111111-1-1
χ1722222222-222-222222222222200-2-2-2-2000000-2-2-2-2000000-2000000000000000000
χ1822222222-222-22222-2-2-2-2-2-2-2-200-2-2-22000000-2222000000-2000000000000000000
χ1922222222-222-2-2-2-2-22222-2-2-2-200-2-2-2-20000002-2220000002000000000000000000
χ2022222222-222-2-2-2-2-2-2-2-2-2222200-2-2-2200000022-2-20000002000000000000000000
χ21222222-2-22-2-220000000022-2-2222-2-200022-2-2002-2-2-200000200000000000000000
χ22222222-2-22-2-220000000022-2-2-2-22-2-2000-2-222002-22200000-200000000000000000
χ23222222-2-22-2-2200000000-2-222222-2-2000-2-22200-22-2-200000200000000000000000
χ24222222-2-22-2-2200000000-2-222-2-22-2-200022-2-200-222200000-200000000000000000
χ25222222-2-2-2-2-2-20000000022-2-200-22202-2000000-22002-22-2002-2000000000000000
χ26222222-2-2-2-2-2-20000000022-2-200-2220-22000000-2200-22-2200-22000000000000000
χ27222222-2-2-2-2-2-200000000-2-22200-22202-20000002-200-222-200-22000000000000000
χ28222222-2-2-2-2-2-200000000-2-22200-2220-220000002-2002-2-22002-2000000000000000
χ292222-2-22-222-22000022-2-2000022-22-22-2-200000-2002-200220-200000000000000000
χ302222-2-22-222-22000022-2-20000-2-2-22-222200000-200-2200-2-20200000000000000000
χ312222-2-22-222-220000-2-222000022-22-2-222000002002-200-2-20-200000000000000000
χ322222-2-22-222-220000-2-2220000-2-2-22-2-2-2-200000200-2200220200000000000000000
χ332222-2-22-2-22-2-2000022-2-20000002-22-2002-22-20200002-20000-22000000000000000
χ342222-2-22-2-22-2-2000022-2-20000002-22-200-22-22020000-2200002-2000000000000000
χ352222-2-22-2-22-2-20000-2-2220000002-222002-22-20-20000-2200002-2000000000000000
χ362222-2-22-2-22-2-20000-2-2220000002-22200-22-220-200002-20000-22000000000000000
χ372222-2-2-222-22222-2-20000000022-2-2200000002000-22-2-200-2-222000000000000000
χ382222-2-2-222-22222-2-200000000-2-2-2-22000000020002-22200-22-2-2000000000000000
χ392222-2-2-222-222-2-2220000000022-2-220000000-2000-2222002-2-2-2000000000000000
χ402222-2-2-222-222-2-22200000000-2-2-2-220000000-20002-2-2-2002222000000000000000
χ412222-2-2-22-2-22-222-2-2000000000022-202-22-2-22-20000000-222000000000000000000
χ422222-2-2-22-2-22-222-2-2000000000022-20-22-222-2-200000002-22000000000000000000
χ432222-2-2-22-2-22-2-2-222000000000022-202-2-222-220000000-22-2000000000000000000
χ442222-2-2-22-2-22-2-2-222000000000022-20-222-2-22200000002-2-2000000000000000000
χ4522-2-22-22-20-2202-22-22i−2i2i−2i2i−2i2i−2i0000000000000000000000000022−2−200i2−i22−2i2−i2000
χ4622-2-22-22-20-2202-22-22i−2i2i−2i2i−2i2i−2i00000000000000000000000000−2−22200−i2i2−22−i2i2000
χ4722-2-22-22-20-2202-22-2−2i2i−2i2i−2i2i−2i2i0000000000000000000000000022−2−200−i2i22−2−i2i2000
χ4822-2-22-22-20-2202-22-2−2i2i−2i2i−2i2i−2i2i00000000000000000000000000−2−22200i2−i2−22i2−i2000
χ4922-2-22-22-20-220-22-222i−2i2i−2i−2i2i−2i2i0000000000000000000000000022−2−200−i2i2−22i2−i2000
χ5022-2-22-22-20-220-22-222i−2i2i−2i−2i2i−2i2i00000000000000000000000000−2−22200i2−i22−2−i2i2000
χ5122-2-22-22-20-220-22-22−2i2i−2i2i2i−2i2i−2i0000000000000000000000000022−2−200i2−i2−22−i2i2000
χ5222-2-22-22-20-220-22-22−2i2i−2i2i2i−2i2i−2i00000000000000000000000000−2−22200−i2i22−2i2−i2000
χ5344-4-44-4-4404-40000000004i−4i−4i4i00000000000000000000000000000000000000000
χ5444-4-44-4-4404-4000000000−4i4i4i−4i00000000000000000000000000000000000000000
χ5544-4-4-44440-4-4000004i−4i−4i4i000000000000000000000000000000000000000000000
χ5644-4-4-44440-4-400000−4i4i4i−4i000000000000000000000000000000000000000000000
χ5744-4-4-44-4-404404-4-440000000000000000000000000000000000000000000000000
χ5844-4-4-44-4-40440-444-40000000000000000000000000000000000000000000000000
χ594-44-40000400-40000000000004i−4i0000000000000000000000002-22-22i−2i000000000
χ604-44-40000400-40000000000004i−4i000000000000000000000000-22-22−2i2i000000000
χ614-44-40000400-4000000000000−4i4i0000000000000000000000002-22-2−2i2i000000000
χ624-44-40000400-4000000000000−4i4i000000000000000000000000-22-222i−2i000000000
χ638-88-80000-800800000000000000000000000000000000000000000000000000000
χ648-8-88000000000000000000000000000000000000000000000022−22−222200000000000
χ658-8-880000000000000000000000000000000000000000000000−222222−2200000000000

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