Finite Group Databasebeta

← Group #277701

Character table — Group #277701

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size11111111222222224444444444444444444444444488888888161616161616161616161616161616163232
order12222222444444444488888888888888888888888822444444244444448888888824
χ111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-111-1-11-11-1-1-1-1-1-1-1-1-11111-1-1
χ3111111111111111111111111111111111111111111-1-111-1-111-11-11-1-1-1-11111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ51111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-11-111111-1-1-1-111-1-1-1-1
χ61111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-111
χ71111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-11111
χ81111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111111111-1-111-1-1
χ9111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111-111-1-111-1-1-1-1-1-1-11
χ10111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111-111-1-111-1-111-1-1-1-11-1
χ11111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11-1-1-1-11111-1-111111-1
χ12111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111-1-1-1-1111111-11
χ13111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-11-1-111-1-1-1-111-1-1111-1
χ14111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-11-1-11111-1-1-1-111-11
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1111-1-1-111-1-11111-1-1-11
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111-11111-1-111-1-111-1-11-1
χ172222222222-2-22-2-22-2-2222200000000-2-2-2-200000000002200-2-20-20200000000000000
χ182222222222-2-22-2-22-2-2222200000000-2-2-2-20000000000-2-20022020-200000000000000
χ192222222222-2-22-2-22-2-2-2-2-2-200000000222200000000002200220-20-200000000000000
χ202222222222-2-22-2-22-2-2-2-2-2-20000000022220000000000-2-200-2-2020200000000000000
χ2122222222-2-222-222-2-2-200002222-2-2-2-20000000000002200-2-20020-2000000000000000
χ2222222222-2-222-222-2-2-200002222-2-2-2-2000000000000-2-2002200-202000000000000000
χ2322222222-2-222-222-2-2-20000-2-2-2-222220000000000002200-2-200-202000000000000000
χ2422222222-2-222-222-2-2-20000-2-2-2-22222000000000000-2-200220020-2000000000000000
χ2522-2-222-2-222-2-2-222-22-200000000000000002i2i2i2i−2i−2i−2i−2i2-2002-200000000000000002i−2i00
χ2622-2-222-2-222-2-2-222-22-200000000000000002i2i2i2i−2i−2i−2i−2i-2200-220000000000000000−2i2i00
χ2722-2-222-2-222-2-2-222-22-20000000000000000−2i−2i−2i−2i2i2i2i2i2-2002-20000000000000000−2i2i00
χ2822-2-222-2-222-2-2-222-22-20000000000000000−2i−2i−2i−2i2i2i2i2i-2200-2200000000000000002i−2i00
χ2922-2-222-2-2-2-2222-2-222-222-2-20000000022-2-2000000000000000000002i−2i2i−2i0000000000
χ3022-2-222-2-2-2-2222-2-222-222-2-20000000022-2-200000000000000000000−2i2i−2i2i0000000000
χ3122-2-222-2-2-2-2222-2-222-2-2-22200000000-2-222000000000000000000002i−2i−2i2i0000000000
χ3222-2-222-2-2-2-2222-2-222-2-2-22200000000-2-22200000000000000000000−2i2i2i−2i0000000000
χ3322-2-222-2-2-2-2-2-22222-2222-2-200000000-2-222000000002-200-22000000000000002-20000
χ3422-2-222-2-2-2-2-2-22222-2222-2-200000000-2-22200000000-22002-200000000000000-220000
χ3522-2-222-2-2-2-2-2-22222-22-2-2220000000022-2-2000000002-200-2200000000000000-220000
χ3622-2-222-2-2-2-2-2-22222-22-2-2220000000022-2-200000000-22002-2000000000000002-20000
χ372-22-22-22-22-200200-200000022−2−222−2−22i−2i2i−2ii2i2−i2−i2i2i2−i2−i2002i−2i002-200000000i2−i22−2000000
χ382-22-22-22-22-200200-200000022−2−222−2−22i−2i2i−2ii2i2−i2−i2i2i2−i2−i200−2i2i00-2200000000−i2i2−22000000
χ392-22-22-22-22-200200-200000022−2−222−2−2−2i2i−2i2i−i2−i2i2i2−i2−i2i2i2002i−2i00-2200000000i2−i2−22000000
χ402-22-22-22-22-200200-200000022−2−222−2−2−2i2i−2i2i−i2−i2i2i2−i2−i2i2i200−2i2i002-200000000−i2i22−2000000
χ412-22-22-22-22-200200-2000000−2−222−2−2222i−2i2i−2i−i2−i2i2i2−i2−i2i2i2002i−2i002-200000000−i2i2−22000000
χ422-22-22-22-22-200200-2000000−2−222−2−2222i−2i2i−2i−i2−i2i2i2−i2−i2i2i200−2i2i00-2200000000i2−i22−2000000
χ432-22-22-22-22-200200-2000000−2−222−2−222−2i2i−2i2ii2i2−i2−i2i2i2−i2−i2002i−2i00-2200000000−i2i22−2000000
χ442-22-22-22-22-200200-2000000−2−222−2−222−2i2i−2i2ii2i2−i2−i2i2i2−i2−i200−2i2i002-200000000i2−i2−22000000
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000000000
χ46444-4-4-4-4400000000002i2−2i22i2−2i200002i2−2i22i2−2i200002-22-22-22-200000000000000000000000000
χ47444-4-4-4-4400000000002i2−2i22i2−2i20000−2i22i2−2i22i20000-22-22-22-2200000000000000000000000000
χ48444-4-4-4-440000000000−2i22i2−2i22i200002i2−2i22i2−2i20000-22-22-22-2200000000000000000000000000
χ49444-4-4-4-440000000000−2i22i2−2i22i20000−2i22i2−2i22i200002-22-22-22-200000000000000000000000000
χ5044-44-4-44-400000000002i2−2i2−2i22i222−2222−22000000002i−2i2i−2i−2i2i−2i2i00000000000000000000000000
χ5144-44-4-44-400000000002i2−2i2−2i22i2−2222−222200000000−2i2i−2i2i2i−2i2i−2i00000000000000000000000000
χ5244-44-4-44-40000000000−2i22i22i2−2i222−2222−2200000000−2i2i−2i2i2i−2i2i−2i00000000000000000000000000
χ5344-44-4-44-40000000000−2i22i22i2−2i2−2222−2222000000002i−2i2i−2i−2i2i−2i2i00000000000000000000000000
χ5444-4-444-4-44444-4-4-4-4-4400000000000000000000000000000000000000000000000000
χ554-444-44-4-4004-404-4000000000004i−4i−4i4i00000000000000000000000000000000000000
χ564-444-44-4-4004-404-400000000000−4i4i4i−4i00000000000000000000000000000000000000
χ574-444-44-4-400-440-4400000000000000000002i2−2i2−2i22i22i2−2i2−2i22i200000000000000000000000000
χ584-444-44-4-400-440-440000000000000000000−2i22i22i2−2i2−2i22i22i2−2i200000000000000000000000000
χ594-44-44-44-4-4400-40040000002222−22−22−22−22222200000000000000000000000000000000000000
χ604-44-44-44-4-4400-4004000000−22−2222222222−22−2200000000000000000000000000000000000000
χ614-4-444-4-444-400-40040000000000000000002222−22−22−22−22222200000000000000000000000000
χ624-4-444-4-444-400-4004000000000000000000−22−2222222222−22−2200000000000000000000000000
χ634-4-444-4-44-4400400-4000000000000004i−4i−4i4i0000000000000000000000000000000000
χ644-4-444-4-44-4400400-400000000000000−4i4i4i−4i0000000000000000000000000000000000
χ654-4-4-4-4444004-40-44000000000000000000022−22−2222−222222−2200000000000000000000000000
χ664-4-4-4-4444004-40-440000000000000000000−222222−2222−22−222200000000000000000000000000
χ674-4-4-4-444400-4404-400000004-4-44000000000000000000000000000000000000000000
χ684-4-4-4-444400-4404-40000000-444-4000000000000000000000000000000000000000000

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