Finite Group Databasebeta

← Group #347387

Character table — Group #347387

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111222222224444488888888888888888888888888888881616161616161616323232
order12222244444444444222244444444444444444444444888844888888488
χ111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111-1-11-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11-1-1
χ41111111111111111111-1-11-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111
χ511111111111111111-1-11-11111-1-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-11-1
χ611111111111111111-1-11-11111-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1111-11
χ711111111111111111-1-1-111-1-1-111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-11
χ811111111111111111-1-1-111-1-1-111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1
χ9111111111111-1-11111111-11-1-11-1-1-1-111-1-1-1-111-1-111-1-11111-1-1111111-1-1-1
χ10111111111111-1-11111111-11-1-11-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-111-1-1-1-1-1-1111
χ11111111111111-1-111111-1-1-1-111-111-1-111-1-1-1-1-1-111-1-1111111-1-111-1-1-1-1-111
χ12111111111111-1-111111-1-1-1-111-111-1-111-1-1-1-1-1-111-1-111-1-1-1-111-1-111111-1-1
χ13111111111111-1-1111-1-11-1-11-1-1-111-1-1-1-1111111-1-1-1-1111111-1-1-1-111-1-11-11
χ14111111111111-1-1111-1-11-1-11-1-1-111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-111-11-1
χ15111111111111-1-1111-1-1-11-1-1111-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-11111-1
χ16111111111111-1-1111-1-1-11-1-1111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1111111-1-1-1-11
χ1722222222-222-200-2-2-2222-20-20020000-2-200002-2002-200000000000000000
χ1822222222-222-200-2-2-222-220200-20000-2-20000-2200-2200000000000000000
χ1922222222-222-200-2-2-2-2-2220-200-200002200002-200-2200000000000000000
χ2022222222-222-200-2-2-2-2-2-2-2020020000220000-22002-200000000000000000
χ21222222-2-22-2-2222-2-222-2002000000-2-22-222-2-200000000000000000000000
χ22222222-2-22-2-2222-2-22-22002000000-2-2-22-2-22200000000000000000000000
χ23222222-2-22-2-22-2-2-2-222-200-2000000222-2-2-22200000000000000000000000
χ24222222-2-22-2-22-2-2-2-22-2200-200000022-2222-2-200000000000000000000000
χ25222222-2-2-2-2-2-20022-22-200002-202-200-220000002-2002-2000000000000000
χ26222222-2-2-2-2-2-20022-22-20000-220-2200-22000000-2200-22000000000000000
χ27222222-2-2-2-2-2-20022-2-2200002-20-22002-20000002-200-22000000000000000
χ28222222-2-2-2-2-2-20022-2-220000-2202-2002-2000000-22002-2000000000000000
χ292222-2-22-222-22222-2-20002-2000-2222-200000000002-2-2-2000000000000000
χ302222-2-22-222-22222-2-2000-2-20002-2-22-20000000000-2222000000000000000
χ312222-2-22-222-22-2-22-2-200022000-2-2-2-2200000000002-222000000000000000
χ322222-2-22-222-22-2-22-2-2000-22000222-220000000000-22-2-2000000000000000
χ332222-2-22-2-22-2-200-2220002002-220000002-22-200-22-2-200000000000000000
χ342222-2-22-2-22-2-200-222000200-222000000-22-22002-2-2-200000000000000000
χ352222-2-22-2-22-2-200-222000-2002-2-2000000-22-2200-222200000000000000000
χ362222-2-22-2-22-2-200-222000-200-22-20000002-22-2002-22200000000000000000
χ372222-2-2-222-22222-22-20020-2-222000-22000000-22-2-20000000000000000000
χ382222-2-2-222-22222-22-200-20-22-2-2000-220000002-2220000000000000000000
χ392222-2-2-222-222-2-2-22-200202-2-2-20002-2000000-22220000000000000000000
χ402222-2-2-222-222-2-2-22-200-2022220002-20000002-2-2-20000000000000000000
χ412222-2-2-22-2-22-2002-220020020002-20000-222-2-2-20000-22000000000000000
χ422222-2-2-22-2-22-2002-22002002000-2200002-2-22-2-200002-2000000000000000
χ432222-2-2-22-2-22-2002-2200-200-20002-200002-2-22220000-22000000000000000
χ442222-2-2-22-2-22-2002-2200-200-2000-220000-222-22200002-2000000000000000
χ454-44-40000-40044i−4i00000000000000000000000000000022-2-22i−2i000000000
χ464-44-40000-40044i−4i000000000000000000000000000000-2-222−2i2i000000000
χ474-44-40000-4004−4i4i00000000000000000000000000000022-2-2−2i2i000000000
χ484-44-40000-4004−4i4i000000000000000000000000000000-2-2222i−2i000000000
χ494-4-444-4440-4-400000000000000000000000000000000022−2222−2200000000000
χ504-4-444-4440-4-4000000000000000000000000000000000−2222−222200000000000
χ514-4-444-4-4-40440000000000000000000000000000000000000002i2−2i20000000
χ524-4-444-4-4-4044000000000000000000000000000000000000000−2i22i20000000
χ534-4-44-444-40-4400000000000000000000000000000000000000000002i2−2i2000
χ544-4-44-444-40-440000000000000000000000000000000000000000000−2i22i2000
χ554-4-44-44-4404-4000000000000000000000000000000000000000002i2−2i200000
χ564-4-44-44-4404-400000000000000000000000000000000000000000−2i22i200000
χ5788-8-8000000000000000000000000000000000000000022−22−222200000000000
χ5888-8-80000000000000000000000000000000000000000−222222−2200000000000
χ598-88-80000800-800000000000000000000000000000000000000000000000

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