Finite Group Databasebeta

← Group #347308

Character table — Group #347308

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111222222224444444444444444488888888888888888888888881616161616161616323232
order12222244444422224444444444444444444444444444444444888844888888488
χ111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11111-1-1111111-1-1-1
χ4111111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111
χ511111111111111-1-111-1-1-1-1-1-1111111-11111-1-1-1-1-1-11-1-1-1111-1-1111111-1-111-1-1-11-1
χ611111111111111-1-111-1-1-1-1-1-1111111-11111-1-1-1-1-1-11-1-1-1111-1-1-1-1-1-1-1-111-1-1111-11
χ711111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-11111111-1-1-1-1-1-1111111-1-1-1-111-1-11-11
χ811111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-11111111-1-1-1-1-1-111-1-1-1-11111-1-111-11-1
χ9111111111111-1-111-1-111-1-1-1-111111-1111-1-111-1-1-1-1-11-1-11-1-111111111-1-1-1-111-1-11
χ10111111111111-1-111-1-111-1-1-1-111111-1111-1-111-1-1-1-1-11-1-11-1-111-1-1-1-1-1-11111-1-111-1
χ11111111111111-1-111-1-111-1-1-1-1-1-1111-11-1-111-1-11111-11-1-1-111-1-11111-1-1-1-1-1-11111-1
χ12111111111111-1-111-1-111-1-1-1-1-1-1111-11-1-111-1-11111-11-1-1-111-1-1-1-1-1-1111111-1-1-1-11
χ13111111111111-1-1-1-1-1-1-1-1111111111-1-111-1-1-1-11111-1-1111-1-1-1-111111111-1-1-1-11-1-1
χ14111111111111-1-1-1-1-1-1-1-1111111111-1-111-1-1-1-11111-1-1111-1-1-1-1-1-1-1-1-1-1-1-11111-111
χ15111111111111-1-1-1-1-1-1-1-11111-1-1111-1-1-1-11111-1-1-1-1-1-111-111111111-1-111-1-1-1-1-111
χ16111111111111-1-1-1-1-1-1-1-11111-1-1111-1-1-1-11111-1-1-1-1-1-111-11111-1-1-1-111-1-111111-1-1
χ1722222222-222-222222222222200-2-2-2-2-20000000000-2-2-2-200000000000000000000
χ1822222222-222-222-2-222-2-2-2-2-2-200-2-2-2-220000000000-222200000000000000000000
χ1922222222-222-2-2-222-2-222-2-2-2-200-2-2-22-200000000002-22200000000000000000000
χ2022222222-222-2-2-2-2-2-2-2-2-2222200-2-2-222000000000022-2-200000000000000000000
χ21222222-2-22-2-220000000022-2-2222-2-200-2-2000022-2-2002-220000000000000000000
χ22222222-2-22-2-220000000022-2-2-2-22-2-200220000-2-222002-2-20000000000000000000
χ23222222-2-22-2-2200000000-2-222222-2-200-2-20000-2-22200-2220000000000000000000
χ24222222-2-22-2-2200000000-2-222-2-22-2-20022000022-2-200-22-20000000000000000000
χ25222222-2-2-2-2-2-20000000022-2-200-22200002-22-2000000-2202-22-2000000000000000
χ26222222-2-2-2-2-2-20000000022-2-200-2220000-22-22000000-220-22-22000000000000000
χ27222222-2-2-2-2-2-200000000-2-22200-22200002-2-220000002-202-2-22000000000000000
χ28222222-2-2-2-2-2-200000000-2-22200-2220000-222-20000002-20-222-2000000000000000
χ292222-2-22-222-22002200-2-2000022-22-2022-200-2-200000-200-20022000000000000000
χ302222-2-22-222-22002200-2-20000-2-2-22-202-22002200000-200200-2-2000000000000000
χ312222-2-22-222-2200-2-20022000022-22-20-22-2002200000200-200-2-2000000000000000
χ322222-2-22-222-2200-2-200220000-2-2-22-20-2-2200-2-20000020020022000000000000000
χ332222-2-22-2-22-2-2002200-2-20000002-220-2002-2002-22-202000-2200000000000000000
χ342222-2-22-2-22-2-2002200-2-20000002-220-200-2200-22-22020002-200000000000000000
χ352222-2-22-2-22-2-200-2-200220000002-2202002-200-22-220-2000-2200000000000000000
χ362222-2-22-2-22-2-200-2-200220000002-220200-22002-22-20-20002-200000000000000000
χ372222-2-2-222-2222200-2-200000022-2-2220-22-2-2000000-2000-22200000000000000000
χ382222-2-2-222-2222200-2-2000000-2-2-2-22202-222000000-20002-2-200000000000000000
χ392222-2-2-222-222-2-2002200000022-2-22-20-22220000002000-2-2-200000000000000000
χ402222-2-2-222-222-2-20022000000-2-2-2-22-202-2-2-2000000200022200000000000000000
χ412222-2-2-22-2-22-22200-2-20000000022-2-2000002-22-2-222000000-22000000000000000
χ422222-2-2-22-2-22-22200-2-20000000022-2-200000-22-222-220000002-2000000000000000
χ432222-2-2-22-2-22-2-2-200220000000022-22000002-2-222-2-2000000-22000000000000000
χ442222-2-2-22-2-22-2-2-200220000000022-2200000-222-2-22-20000002-2000000000000000
χ4522-2-22-2220-2-202-22-22-22-22-22-20000000000000000000000000022−2−2002−22−22−2000
χ4622-2-22-2220-2-202-22-22-22-22-22-200000000000000000000000000−2−22200−22−22−22000
χ4722-2-22-2220-2-202-2-222-2-22-22-220000000000000000000000000022−2−200−222−2−22000
χ4822-2-22-2220-2-202-2-222-2-22-22-2200000000000000000000000000−2−222002−2−222−2000
χ4922-2-22-2220-2-20-222-2-222-2-22-220000000000000000000000000022−2−200−22−222−2000
χ5022-2-22-2220-2-20-222-2-222-2-22-2200000000000000000000000000−2−222002−22−2−22000
χ5122-2-22-2220-2-20-22-22-22-222-22-20000000000000000000000000022−2−2002−2−22−22000
χ5222-2-22-2220-2-20-22-22-22-222-22-200000000000000000000000000−2−22200−222−22−2000
χ5344-4-44-4-4-40440000000004-4-4400000000000000000000000000000000000000000
χ5444-4-44-4-4-4044000000000-444-400000000000000000000000000000000000000000
χ5544-4-4-444-40-440004-400-44000000000000000000000000000000000000000000000
χ5644-4-4-444-40-44000-44004-4000000000000000000000000000000000000000000000
χ5744-4-4-44-4404-404-400-4400000000000000000000000000000000000000000000000
χ5844-4-4-44-4404-40-44004-400000000000000000000000000000000000000000000000
χ594-44-40000-40040000000000004i−4i0000000000000000000000002i−2i2i−2i2-2000000000
χ604-44-40000-40040000000000004i−4i000000000000000000000000−2i2i−2i2i-22000000000
χ614-44-40000-4004000000000000−4i4i0000000000000000000000002i−2i2i−2i-22000000000
χ624-44-40000-4004000000000000−4i4i000000000000000000000000−2i2i−2i2i2-2000000000
χ638-88-80000800-800000000000000000000000000000000000000000000000000000
χ648-8-8800000000000000000000000000000000000000000000002i2−2i2−2i22i200000000000
χ658-8-880000000000000000000000000000000000000000000000−2i22i22i2−2i200000000000

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