Finite Group Databasebeta

← Group #337151

Character table — Group #337151

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444448888888888888888888888161616161616161616161616323232
order12222222444444444488882222444488888888888888444444888888244
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-111-1-1-1-11111-1-1-1-1-111-1-11-1-1-1-1-1-111-1
χ3111111111111111111111111-1-11111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1
χ4111111111111111111111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-111-11111-1-1-1-11
χ51111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11
χ61111111111111111111111-1-111-1-1-1-1111111-1-1-1-11111-111-1-111111-1-1-1-1-1
χ71111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-111111111-1
χ81111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-111-1-1-1-1-1-1-1111
χ9111111111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-111-111-111-1-1-1-1-11-1
χ10111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-1-1-1-1-11111-111
χ11111111111111111111-1-1-1-111-1-11111-1-11111-1-1-1-1-1-1-1-11-11-1-11-1-111-1-11-11
χ12111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1111-1-1
χ13111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-11111111111-111-1-1-111-1-11-1-1
χ14111111111111111111-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-11-1-1-1-111-1-1111-11
χ15111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111111-11-1-1111-1-1-1-1-111
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-11111-11-1
χ172222222222-22-2-2-22-2-2222200220000-2-20000000000000-2-2002000000000
χ182222222222-22-2-2-22-2-2222200-2-20000-2-200000000000002200-2000000000
χ192222222222-22-2-2-22-2-2-2-2-2-200220000220000000000000-2200-2000000000
χ202222222222-22-2-2-22-2-2-2-2-2-200-2-200002200000000000002-2002000000000
χ2122222222-2-22-2222-2-2-200002200-2-2220022-2-200000000-200000000000000
χ2222222222-2-22-2222-2-2-200002200-2-2-2-200-2-22200000000200000000000000
χ2322222222-2-22-2222-2-2-20000-2-200222200-2-22200000000-200000000000000
χ2422222222-2-22-2222-2-2-20000-2-20022-2-20022-2-200000000200000000000000
χ252-22-222-2-2-2-2-2222-222-200000000000000000022-2-200000002i−2i0002i−2i00000
χ262-22-222-2-2-2-2-2222-222-200000000000000000022-2-20000000−2i2i000−2i2i00000
χ272-22-222-2-2-2-2-2222-222-2000000000000000000-2-22200000002i−2i000−2i2i00000
χ282-22-222-2-2-2-2-2222-222-2000000000000000000-2-2220000000−2i2i0002i−2i00000
χ292-2-2-22-22200-202-2200022−2−22-200002-22−22-2002−22−222−2−200000000002−2000
χ302-2-2-22-22200-202-2200022−2−22-20000-222−2-22002−22−2−2−2220000000000−22000
χ312-2-2-22-22200-202-2200022−2−2-2200002-22−2-2200−22−22−2−22200000000002−2000
χ322-2-2-22-22200-202-2200022−2−2-220000-222−22-200−22−2222−2−20000000000−22000
χ332-2-2-22-22200-202-22000−2−2222-200002-2−222-200−22−22−2−2220000000000−22000
χ342-2-2-22-22200-202-22000−2−2222-20000-22−22-2200−22−2222−2−200000000002−2000
χ352-2-2-22-22200-202-22000−2−222-2200002-2−22-22002−22−222−2−20000000000−22000
χ362-2-2-22-22200-202-22000−2−222-220000-22−222-2002−22−2−2−22200000000002−2000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000
χ38444-4-4-44-400000000002i2−2i22i2−2i20000000000002i2−2i200002-22-2000000000000000
χ39444-4-4-44-400000000002i2−2i22i2−2i2000000000000−2i22i20000-22-22000000000000000
χ40444-4-4-44-40000000000−2i22i2−2i22i20000000000002i2−2i20000-22-22000000000000000
χ41444-4-4-44-40000000000−2i22i2−2i22i2000000000000−2i22i200002-22-2000000000000000
χ4244-444-4-4-400404-4-400000000000000000000022−22−22220000000000000000000
χ4344-444-4-4-400404-4-4000000000000000000000−222222−220000000000000000000
χ4444-444-4-4-400-40-444000000000004i−4i0000000000000000000000000000000
χ4544-444-4-4-400-40-44400000000000−4i4i0000000000000000000000000000000
χ4644-4-4-44-444-404000-400000000000000000000000000000000002i2−2i20000000
χ4744-4-4-44-444-404000-40000000000000000000000000000000000−2i22i20000000
χ4844-4-4-44-44-440-40004000000004-4000000000000000000000000000000000
χ4944-4-4-44-44-440-4000400000000-44000000000000000000000000000000000
χ504-44-444-4-4444-4-4-44-44-400000000000000000000000000000000000000000
χ514-44-444-4-444-4-444-4-4-4400000000000000000000000000000000000000000
χ524-44-444-4-4-4-444-4-444-4400000000000000000000000000000000000000000
χ534-4-44-444-44-40-4000400000000000000000000000022−22−2222000000000000000
χ544-4-44-444-44-40-40004000000000000000000000000−222222−22000000000000000
χ554-4-44-444-4-4404000-4004i−4i−4i4i0000000000000000000000000000000000000
χ564-4-44-444-4-4404000-400−4i4i4i−4i0000000000000000000000000000000000000
χ574-4-4-44-4440040-44-40002222−22−2200000000−2222000000000000000000000000000
χ584-4-4-44-4440040-44-4000−22−2222220000000022−22000000000000000000000000000
χ598-888-8-8-88000000000000000000000000000000000000000000000000000

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