Finite Group Databasebeta

← Group #284177

Character table — Group #284177

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111111122222222444444888888888888888888888888881616161616161616161616163232
order12222222444444444488882244444444448888888888888824444488888844
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1
χ311111111111111111111111111-1-111-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111-1-1-1-111111111-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111
χ61111111111111111111111-1-1-1-111-1-111-1-11111-1-1-1-111111111-1-1-1-111-1-111-1-1
χ71111111111111111111111-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1-1-1111111-1-111-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-1-1-111
χ9111111111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-111-1-1-1-11-1-1-11111-1-1-1-11-1
χ10111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-111111-1-1-111-1-1-1-111-11
χ11111111111111111111-1-1-1-11111-1-111111111-1-1-1-1-1-111-1-1-1-1-1111-1-1-1-1-1-111-11
χ12111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-11111-1111-1-111-1-1-1-11-1
χ13111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-111111-111-1-1-1-111111-1
χ14111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1111111-1-1-1-11-111-1-11111-1-1-11
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-11-1-1111111-1-1-11
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1-11-1-111-1-111111-1
χ172222222222-2-2-222-2-2-2222200002200220000-2-20000000000-2-2000000000000
χ182222222222-2-2-222-2-2-222220000-2-200-2-20000-2-2000000000022000000000000
χ192222222222-2-2-222-2-2-2-2-2-2-200002200-2-20000220000000000-22000000000000
χ202222222222-2-2-222-2-2-2-2-2-2-20000-2-2002200002200000000002-2000000000000
χ2122222222-2-2222-2-22-2-2000022-2-2002200-2-222000000-2-2000000000000000000
χ2222222222-2-2222-2-22-2-2000022-2-200-2-20022-2-200000022000000000000000000
χ2322222222-2-2222-2-22-2-20000-2-222002200-2-2-2-200000022000000000000000000
χ2422222222-2-2222-2-22-2-20000-2-22200-2-2002222000000-2-2000000000000000000
χ252-2-222-22-22-20002-20002i2i−2i−2i00002i−2i002-200i2−i2000000i2−i222−2−20000002−200i2−i200
χ262-2-222-22-22-20002-20002i2i−2i−2i00002i−2i002-200−i2i2000000−i2i2−2−222000000−2200−i2i200
χ272-2-222-22-22-20002-20002i2i−2i−2i0000−2i2i00-2200i2−i2000000i2−i222−2−2000000−2200−i2i200
χ282-2-222-22-22-20002-20002i2i−2i−2i0000−2i2i00-2200−i2i2000000−i2i2−2−2220000002−200i2−i200
χ292-2-222-22-22-20002-2000−2i−2i2i2i00002i−2i00-2200i2−i2000000i2−i2−2−2220000002−200−i2i200
χ302-2-222-22-22-20002-2000−2i−2i2i2i00002i−2i00-2200−i2i2000000−i2i222−2−2000000−2200i2−i200
χ312-2-222-22-22-20002-2000−2i−2i2i2i0000−2i2i002-200i2−i2000000i2−i2−2−222000000−2200i2−i200
χ322-2-222-22-22-20002-2000−2i−2i2i2i0000−2i2i002-200−i2i2000000−i2i222−2−20000002−200−i2i200
χ332-2-22-22-22222-22-2-2-2-222i−2i2i−2i000000000000002i−2i0000000000002i−2i2-200000000
χ342-2-22-22-22222-22-2-2-2-222i−2i2i−2i000000000000002i−2i000000000000−2i2i-2200000000
χ352-2-22-22-22222-22-2-2-2-22−2i2i−2i2i00000000000000−2i2i0000000000002i−2i-2200000000
χ362-2-22-22-22222-22-2-2-2-22−2i2i−2i2i00000000000000−2i2i000000000000−2i2i2-200000000
χ372-2-22-22-2222-22-2-2-222-22i−2i2i−2i2-22-20000000000−2i2i0000000000000000002i−2i0000
χ382-2-22-22-2222-22-2-2-222-22i−2i2i−2i-22-220000000000−2i2i000000000000000000−2i2i0000
χ392-2-22-22-2222-22-2-2-222-2−2i2i−2i2i2-22-200000000002i−2i000000000000000000−2i2i0000
χ402-2-22-22-2222-22-2-2-222-2−2i2i−2i2i-22-2200000000002i−2i0000000000000000002i−2i0000
χ412-2-22-22-22-2-2-22-2222-2200002-2-2200000000000022-2-2002-22-200000000000000
χ422-2-22-22-22-2-2-22-2222-2200002-2-22000000000000-2-22200-22-2200000000000000
χ432-2-22-22-22-2-2-22-2222-220000-222-200000000000022-2-200-22-2200000000000000
χ442-2-22-22-22-2-2-22-2222-220000-222-2000000000000-2-222002-22-200000000000000
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000
χ464444-4-4-4-44-4000-440004-4-440000000000000000000000000000000000000000
χ474444-4-4-4-44-4000-44000-444-40000000000000000000000000000000000000000
χ484444-4-4-4-4-440004-40000000000000000000000000000022−22−222200000000000000
χ494444-4-4-4-4-440004-400000000000000000000000000000−222222−2200000000000000
χ5044-4-444-4-40044-400-40000000000004-400000000000000000000000000000000
χ5144-4-444-4-40044-400-4000000000000-4400000000000000000000000000000000
χ5244-4-444-4-400-4-4400400000000000000000000002i2−2i22i2−2i200000000000000000000
χ5344-4-444-4-400-4-440040000000000000000000000−2i22i2−2i22i200000000000000000000
χ544-44-4-444-4004-4-400400000000000000000000002i2−2i2−2i22i200000000000000000000
χ554-44-4-444-4004-4-40040000000000000000000000−2i22i22i2−2i200000000000000000000
χ564-44-4-444-400-44400-400000000000000004i−4i0000000000000000000000000000
χ574-44-4-444-400-44400-40000000000000000−4i4i0000000000000000000000000000
χ584-4-444-44-4-44000-4400000000000000000002i2−2i2000000−2i22i2000000000000000000
χ594-4-444-44-4-44000-440000000000000000000−2i22i20000002i2−2i2000000000000000000
χ604-4-44-44-44-4-44-4444-44-400000000000000000000000000000000000000000000
χ6188-8-8-8-888000000000000000000000000000000000000000000000000000000
χ628-88-88-8-88000000000000000000000000000000000000000000000000000000

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