Finite Group Databasebeta

← Group #338808

Character table — Group #338808

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444488888888888888888888888888881616161616161616323232
order12222222444444444488888888444444444444888888888888888844448888444
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-111-1-111111111-1-1-1-11111-11-1-1-1-111-1-1-1
χ311111111111111111111111111-1-1-1-11111-1-1111111-1-1-1-1111111111-1-1-111-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111
χ51111111111111111111111-1-1-1-1111111-1-1111111-1-1-1-1-1-11111-1-1-1-1-11-1-1-1-1-1-111-1
χ61111111111111111111111-1-1-1-11111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11
χ71111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111111111-1-1-1-1-1-111-1-111-1-11
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11-1-1-1111111-1
χ9111111111111111111-1-1-1-1111111-1-111111111-1-1111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111
χ10111111111111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-11111-1-11-1-1
χ11111111111111111111-1-1-1-11111-1-1111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111-1-1
χ12111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-11-1-11111-111
χ13111111111111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-11-1
χ14111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1111-11
χ15111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-11111-11-1-111-1-11-11
χ16111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-11-1
χ17222222222-2-22-2-222-2-2000022220000222200-2-200-2-2000000000000-20000000000
χ18222222222-2-22-2-222-2-2000022220000-2-2-2-2002200-2-200000000000020000000000
χ19222222222-2-22-2-222-2-20000-2-2-2-2000022-2-200-2-2002200000000000020000000000
χ20222222222-2-22-2-222-2-20000-2-2-2-20000-2-22200220022000000000000-20000000000
χ2122222222-222-222-2-2-2-22222000022-2-20000-2-200-2-20000000000000002000000000
χ2222222222-222-222-2-2-2-222220000-2-22200002200-2-2000000000000000-2000000000
χ2322222222-222-222-2-2-2-2-2-2-2-2000022220000-2-20022000000000000000-2000000000
χ2422222222-222-222-2-2-2-2-2-2-2-20000-2-2-2-200002200220000000000000002000000000
χ25222-2-2-22-2-2-2-2222-22-220000000000000000000000002i2i−2i−2i22-2-20000002i−2i0000000
χ26222-2-2-22-2-2-2-2222-22-220000000000000000000000002i2i−2i−2i-2-222000000−2i2i0000000
χ27222-2-2-22-2-2-2-2222-22-22000000000000000000000000−2i−2i2i2i22-2-2000000−2i2i0000000
χ28222-2-2-22-2-2-2-2222-22-22000000000000000000000000−2i−2i2i2i-2-2220000002i−2i0000000
χ2922-2-2-22-2202-202-200002i2i−2i−2ii2i2−i2−i2002i−2i00002-20000i2−i2i2−i2i2−i2000022−2−20000002−2000
χ3022-2-2-22-2202-202-200002i2i−2i−2ii2i2−i2−i200−2i2i0000-220000i2−i2−i2i2−i2i2000022−2−2000000−22000
χ3122-2-2-22-2202-202-200002i2i−2i−2i−i2−i2i2i2002i−2i00002-20000−i2i2−i2i2−i2i20000−2−222000000−22000
χ3222-2-2-22-2202-202-200002i2i−2i−2i−i2−i2i2i200−2i2i0000-220000−i2i2i2−i2i2−i20000−2−2220000002−2000
χ3322-2-2-22-2202-202-20000−2i−2i2i2ii2i2−i2−i2002i−2i0000-220000i2−i2−i2i2−i2i20000−2−2220000002−2000
χ3422-2-2-22-2202-202-20000−2i−2i2i2ii2i2−i2−i200−2i2i00002-20000i2−i2i2−i2i2−i20000−2−222000000−22000
χ3522-2-2-22-2202-202-20000−2i−2i2i2i−i2−i2i2i2002i−2i0000-220000−i2i2i2−i2i2−i2000022−2−2000000−22000
χ3622-2-2-22-2202-202-20000−2i−2i2i2i−i2−i2i2i200−2i2i00002-20000−i2i2−i2i2−i2i2000022−2−20000002−2000
χ372-2-22-2-222200200-2-2002−22−22i−2i2i−2i00002i−2i2-200002−2000000i2−i2i2−i2i2−i2i2−i200002−200000
χ382-2-22-2-222200200-2-2002−22−22i−2i2i−2i0000−2i2i-2200002−2000000−i2i2−i2i2i2−i2i2−i20000−2200000
χ392-2-22-2-222200200-2-2002−22−2−2i2i−2i2i00002i−2i-2200002−2000000i2−i2i2−i2−i2i2−i2i20000−2200000
χ402-2-22-2-222200200-2-2002−22−2−2i2i−2i2i0000−2i2i2-200002−2000000−i2i2−i2i2−i2i2−i2i200002−200000
χ412-2-22-2-222200200-2-200−22−222i−2i2i−2i00002i−2i2-20000−22000000−i2i2−i2i2−i2i2−i2i20000−2200000
χ422-2-22-2-222200200-2-200−22−222i−2i2i−2i0000−2i2i-220000−22000000i2−i2i2−i2−i2i2−i2i200002−200000
χ432-2-22-2-222200200-2-200−22−22−2i2i−2i2i00002i−2i-220000−22000000−i2i2−i2i2i2−i2i2−i200002−200000
χ442-2-22-2-222200200-2-200−22−22−2i2i−2i2i0000−2i2i2-20000−22000000i2−i2i2−i2i2−i2i2−i20000−2200000
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000000
χ46444-4-4-44-4444-4-4-44-4-4400000000000000000000000000000000000000000000000
χ47444-4-4-44-44-4-4-4444-44-400000000000000000000000000000000000000000000000
χ48444-4-4-44-4-4444-4-4-444-400000000000000000000000000000000000000000000000
χ4944-444-4-4-404-40-440000000000004-40000000000000000000000000000000000000
χ5044-444-4-4-404-40-44000000000000-440000000000000000000000000000000000000
χ5144-444-4-4-40-4404-4000000000000000000000000000022−22−22220000000000000000000
χ5244-444-4-4-40-4404-40000000000000000000000000000−222222−220000000000000000000
χ5344-4-4-44-440-440-44000000002i22i2−2i2−2i200000000000000−2i22i200000000000000000000000
χ5444-4-4-44-440-440-4400000000−2i2−2i22i22i2000000000000002i2−2i200000000000000000000000
χ554-44-44-4-4400000000002i2−2i2−2i22i222−22−2222000000000000000000000000−2i2i2i−2i00000000000
χ564-44-44-4-4400000000002i2−2i2−2i22i2−222222−220000000000000000000000002i−2i−2i2i00000000000
χ574-44-44-4-440000000000−2i22i22i2−2i222−22−22220000000000000000000000002i−2i−2i2i00000000000
χ584-44-44-4-440000000000−2i22i22i2−2i2−222222−22000000000000000000000000−2i2i2i−2i00000000000
χ594-4-44-4-444-400-400440022−2222−220000000000000000−22220000000000000000000000000
χ604-4-44-4-444-400-4004400−2222−2222000000000000000022−220000000000000000000000000
χ614-4-4-4444-4400-400-44000000000000000000004i−4i000000000000000000000000000
χ624-4-4-4444-4400-400-4400000000000000000000−4i4i000000000000000000000000000
χ634-4-4-4444-4-4004004-40000000000000000000000000000002i2−2i2−2i22i2000000000000000
χ644-4-4-4444-4-4004004-4000000000000000000000000000000−2i22i22i2−2i2000000000000000
χ658-888-88-8-8000000000000000000000000000000000000000000000000000000000

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