Finite Group Databasebeta

← Group #277621

Character table — Group #277621

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111111122222222444444888888888888888888888888881616161616161616161616163232
order12222222444444444488884444444444448888888888888844444488888844
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111
χ311111111111111111111111111-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-11111-1-1-1-1
χ51111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1
χ61111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1111111-1-1-1-111-1-1111111-1-1-1-1
χ71111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-111-1-1-1-1-1-111
χ9111111111111111111-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-111-1-1-1-11-1
χ10111111111111111111-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-111-1-111111-1
χ11111111111111111111-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-111111111111-1-1-1-1-111-1-1-11
χ12111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11-11111-1-111-11
χ13111111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-11
χ14111111111111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-11-1-111-1-111-11
χ15111111111111111111-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-111111111-1-1-111111-1-1-1-11-1
χ16111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-11-1-1-1-111111-1
χ172222222222-2-22-2-22-2-222222222000000000000-2-20000000000-2-20000000000
χ182222222222-2-22-2-22-2-22222-2-2-2-2000000000000-2-20000000000220000000000
χ192222222222-2-22-2-22-2-2-2-2-2-222-2-2000000000000220000000000-220000000000
χ202222222222-2-22-2-22-2-2-2-2-2-2-2-2220000000000002200000000002-20000000000
χ2122222222-2-222-222-2-2-2000000002222-2-2-2-222-2-2000000000000000000000000
χ2222222222-2-222-222-2-2-20000000022-2-2-2-222-2-222000000000000000000000000
χ2322222222-2-222-222-2-2-200000000-2-22222-2-2-2-222000000000000000000000000
χ2422222222-2-222-222-2-2-200000000-2-2-2-2222222-2-2000000000000000000000000
χ252222-2-2-2-22-200200-20022-2-22-22-2000000002−22−200000022−2−20000002−22−20000
χ262222-2-2-2-22-200200-20022-2-22-22-200000000−22−22000000−2−222000000−22−220000
χ272222-2-2-2-22-200200-20022-2-2-22-22000000002−22−200000022−2−2000000−22−220000
χ282222-2-2-2-22-200200-20022-2-2-22-2200000000−22−22000000−2−2220000002−22−20000
χ292222-2-2-2-22-200200-200-2-2222-2-22000000002−22−2000000−2−2220000002−2−220000
χ302222-2-2-2-22-200200-200-2-2222-2-2200000000−22−2200000022−2−2000000−222−20000
χ312222-2-2-2-22-200200-200-2-222-222-2000000002−22−2000000−2−222000000−222−20000
χ322222-2-2-2-22-200200-200-2-222-222-200000000−22−2200000022−2−20000002−2−220000
χ332-22-2-22-2222-2-2-222-22-200000000002-2002-20000002i2i−2i−2i2i−2i2i−2i00000000000000
χ342-22-2-22-2222-2-2-222-22-200000000002-2002-2000000−2i−2i2i2i−2i2i−2i2i00000000000000
χ352-22-2-22-2222-2-2-222-22-20000000000-2200-220000002i2i−2i−2i−2i2i−2i2i00000000000000
χ362-22-2-22-2222-2-2-222-22-20000000000-2200-22000000−2i−2i2i2i2i−2i2i−2i00000000000000
χ372-22-2-22-22-2-2222-2-222-22-22-200000000000000002-2000000002i−2i002i−2i00000000
χ382-22-2-22-22-2-2222-2-222-22-22-200000000000000002-200000000−2i2i00−2i2i00000000
χ392-22-2-22-22-2-2222-2-222-2-22-220000000000000000-22000000002i−2i00−2i2i00000000
χ402-22-2-22-22-2-2222-2-222-2-22-220000000000000000-2200000000−2i2i002i−2i00000000
χ412-22-2-22-22-2-2-2-22222-222-22-20000002-200-220000-220000000000000000002-200
χ422-22-2-22-22-2-2-2-22222-222-22-2000000-22002-20000-22000000000000000000-2200
χ432-22-2-22-22-2-2-2-22222-22-22-220000002-200-2200002-2000000000000000000-2200
χ442-22-2-22-22-2-2-2-22222-22-22-22000000-22002-200002-20000000000000000002-200
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000
χ464444-4-4-4-4-4400-400400000000000000000022−22−2222000000000000000000000000
χ474444-4-4-4-4-4400-4004000000000000000000−222222−22000000000000000000000000
χ4844-4-44-4-44004-404-400000000000000000000000002i2−2i22i2−2i2000000000000000000
χ4944-4-44-4-44004-404-40000000000000000000000000−2i22i2−2i22i2000000000000000000
χ5044-4-44-4-4400-440-44000000000004i−4i0000000000000000000000000000000000
χ5144-4-44-4-4400-440-4400000000000−4i4i0000000000000000000000000000000000
χ524-44-44-44-44-400-400400000000000000000000000000002i2−2i2−2i22i200000000000000
χ534-44-44-44-44-400-40040000000000000000000000000000−2i22i22i2−2i200000000000000
χ544-44-44-44-4-4400400-4004-4-440000000000000000000000000000000000000000
χ554-44-44-44-4-4400400-400-444-40000000000000000000000000000000000000000
χ564-44-4-44-444444-4-4-4-4-4400000000000000000000000000000000000000000000
χ574-4-44-4-444004-40-440000000000000004-4000000000000000000000000000000
χ584-4-44-4-444004-40-44000000000000000-44000000000000000000000000000000
χ594-4-44-4-44400-4404-4000000000000000000000000022−22−2222000000000000000000
χ604-4-44-4-44400-4404-40000000000000000000000000−222222−22000000000000000000
χ6188-8-8-888-8000000000000000000000000000000000000000000000000000000
χ628-8-8888-8-8000000000000000000000000000000000000000000000000000000

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