Finite Group Databasebeta

← Group #338907

Character table — Group #338907

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444488888888888888888888888888881616161616161616323232
order12222222444444444488888888224444444444888888888888888844448888444
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-111-1-111111111-1-1-1-11111-11-1-111-1-1-1-1-1
χ311111111111111111111111111-1-1-1-11111-1-1111111-1-1-1-1111111111-1-1-1-1-111-1-1-1
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
χ51111111111111111111111-1-1-1-111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-11-1
χ61111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-11-1-111111-11
χ71111111111111111111111-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-11-11
χ81111111111111111111111-1-1-1-1-1-111-1-1-1-111-1-111-1-111111111-1-1-1-1-1-111-1-111-11-1
χ9111111111111111111-1-1-1-111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-11-1-1-1-1-1-1-111
χ10111111111111111111-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111-1-1
χ11111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-11-1-1
χ12111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11-1-1-11111-111
χ13111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-11-1-1-1-11111-1
χ14111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-11
χ15111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-11
χ16111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-1-111-1-111-1
χ172222222222-2-22-2-22-2-20000222222220000-2-20000-2-20000000000000-2000000000
χ182222222222-2-22-2-22-2-200002222-2-2-2-20000220000-2-200000000000002000000000
χ192222222222-2-22-2-22-2-20000-2-2-2-222-2-20000220000220000000000000-2000000000
χ202222222222-2-22-2-22-2-20000-2-2-2-2-2-2220000-2-200002200000000000002000000000
χ2122222222-2-222-222-2-2-222220000000022-2-200-2-2-2-20000000000000020000000000
χ2222222222-2-222-222-2-2-2222200000000-2-2220022-2-200000000000000-20000000000
χ2322222222-2-222-222-2-2-2-2-2-2-20000000022-2-200222200000000000000-20000000000
χ2422222222-2-222-222-2-2-2-2-2-2-200000000-2-22200-2-2220000000000000020000000000
χ25222-2-2-22-2-22-2-2-2222-2200000000000000000000000022-2-22i2i−2i−2i0000002i−2i0000000
χ26222-2-2-22-2-22-2-2-2222-2200000000000000000000000022-2-2−2i−2i2i2i000000−2i2i0000000
χ27222-2-2-22-2-22-2-2-2222-22000000000000000000000000-2-2222i2i−2i−2i000000−2i2i0000000
χ28222-2-2-22-2-22-2-2-2222-22000000000000000000000000-2-222−2i−2i2i2i0000002i−2i0000000
χ2922-22-2-2-22-2200200-200i2i2−i2−i22i2i−2i−2i2-22i−2i00000000i2−i2002−22−2000022−2−20000i2−i200000
χ3022-22-2-2-22-2200200-200i2i2−i2−i22i2i−2i−2i-22−2i2i00000000i2−i200−22−22000022−2−20000−i2i200000
χ3122-22-2-2-22-2200200-200i2i2−i2−i2−2i−2i2i2i2-2−2i2i00000000i2−i200−22−220000−2−2220000i2−i200000
χ3222-22-2-2-22-2200200-200i2i2−i2−i2−2i−2i2i2i-222i−2i00000000i2−i2002−22−20000−2−2220000−i2i200000
χ3322-22-2-2-22-2200200-200−i2−i2i2i22i2i−2i−2i2-22i−2i00000000−i2i200−22−220000−2−2220000−i2i200000
χ3422-22-2-2-22-2200200-200−i2−i2i2i22i2i−2i−2i-22−2i2i00000000−i2i2002−22−20000−2−2220000i2−i200000
χ3522-22-2-2-22-2200200-200−i2−i2i2i2−2i−2i2i2i2-2−2i2i00000000−i2i2002−22−2000022−2−20000−i2i200000
χ3622-22-2-2-22-2200200-200−i2−i2i2i2−2i−2i2i2i-222i−2i00000000−i2i200−22−22000022−2−20000i2−i200000
χ372-2-22-222-2002-202-20002i−2i2i−2ii2−i2i2−i20000002-2002i−2i00i2−i20000i2−i2i2−i22−22−20000002−2000
χ382-2-22-222-2002-202-20002i−2i2i−2ii2−i2i2−i2000000-2200−2i2i00i2−i20000−i2i2−i2i22−22−2000000−22000
χ392-2-22-222-2002-202-20002i−2i2i−2i−i2i2−i2i20000002-2002i−2i00−i2i20000−i2i2−i2i2−22−22000000−22000
χ402-2-22-222-2002-202-20002i−2i2i−2i−i2i2−i2i2000000-2200−2i2i00−i2i20000i2−i2i2−i2−22−220000002−2000
χ412-2-22-222-2002-202-2000−2i2i−2i2ii2−i2i2−i20000002-200−2i2i00i2−i20000i2−i2i2−i2−22−22000000−22000
χ422-2-22-222-2002-202-2000−2i2i−2i2ii2−i2i2−i2000000-22002i−2i00i2−i20000−i2i2−i2i2−22−220000002−2000
χ432-2-22-222-2002-202-2000−2i2i−2i2i−i2i2−i2i20000002-200−2i2i00−i2i20000−i2i2−i2i22−22−20000002−2000
χ442-2-22-222-2002-202-2000−2i2i−2i2i−i2i2−i2i2000000-22002i−2i00−i2i20000i2−i2i2−i22−22−2000000−22000
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000000
χ46444-4-4-44-44-4444-4-4-4-4400000000000000000000000000000000000000000000000
χ47444-4-4-44-44-4-4-4444-44-400000000000000000000000000000000000000000000000
χ48444-4-4-44-4-4444-4-4-444-400000000000000000000000000000000000000000000000
χ4944-44-4-4-444-400-4004002i22i2−2i2−2i20000000000000000−2i22i20000000000000000000000000
χ5044-44-4-4-444-400-400400−2i2−2i22i22i200000000000000002i2−2i20000000000000000000000000
χ5144-4-444-4-44400-400-40000000000000000000000000022−22−22220000000000000000000
χ5244-4-444-4-44400-400-400000000000000000000000000−222222−220000000000000000000
χ5344-4-444-4-4-4-40040040000000000000000004i−4i00000000000000000000000000000
χ5444-4-444-4-4-4-4004004000000000000000000−4i4i00000000000000000000000000000
χ554-4444-4-4-4000000000022−22−222222−22−22220000000000000000000000002-2-2200000000000
χ564-4444-4-4-4000000000022−22−2222−222222−22000000000000000000000000-222-200000000000
χ574-4444-4-4-40000000000−222222−2222−22−2222000000000000000000000000-222-200000000000
χ584-4444-4-4-40000000000−222222−22−222222−220000000000000000000000002-2-2200000000000
χ594-4-44-444-400-440-4400000002i2−2i22i2−2i200000000000000−2i22i200000000000000000000000
χ604-4-44-444-400-440-440000000−2i22i2−2i22i2000000000000002i2−2i200000000000000000000000
χ614-4-4-44-444004-40-440000000000000004-4000000000000000000000000000000000
χ624-4-4-44-444004-40-44000000000000000-44000000000000000000000000000000000
χ634-4-4-44-44400-4404-4000000000000000000000000000000022−22−2222000000000000000
χ644-4-4-44-44400-4404-40000000000000000000000000000000−222222−22000000000000000
χ658-88-8-88-88000000000000000000000000000000000000000000000000000000000

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