Finite Group Databasebeta

← Group #318511

Character table — Group #318511

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111111122222222444444444488888888888888881616161616161616161616161616161616161616
order12222222444444444444448888444444888888888822244444448888888888
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-11-1-1-1-1-1-1-1-111-1-1-1-1-1-1
χ3111111111111111111111111111-1-11-1-1111111-1-1-1-1-111-1111111-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111-1-11-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111
χ51111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1-1-1
χ61111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11-1-11-1-11111-1-1-1-1-1-11111
χ71111111111111111111111-1-1-1-11-1-11-1-1-1-1-1-1-1-11111-111-111-1-1-1-1-1-111-1-11111
χ81111111111111111111111-1-1-1-11-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111111-1-1-1-1
χ91111111111111111-1-111-1-11111-111-111-1-1-1-1111111-111-1-1-1-1-111-1-1-1-11111-1-1
χ101111111111111111-1-111-1-11111-111-111-1-1-1-1111111-1-1-1-11111-1-111-1-1-1-1-1-111
χ111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-111
χ121111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11-1-111111-1-1-1-1111111-1-1
χ131111111111111111-1-111-1-1-1-1-1-1-111-1111111-1-1-1-1-1-1-111-1-1-111-1-1-1-11111-1-111
χ141111111111111111-1-111-1-1-1-1-1-1-111-1111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-111-1-1
χ151111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-111-1-111-1-1-1-111-1-1
χ161111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111-1-1111-1-111-1-1-1-111-1-111
χ172222222222-2-2-22-2222-2-2-2-20000-2222-2-20000000000-20020000000000000000
χ182222222222-2-2-22-2222-2-2-2-20000-2-2-22220000000000200-20000000000000000
χ192222222222-2-2-22-22-2-2-2-2220000222-2-2-20000000000200-20000000000000000
χ202222222222-2-2-22-22-2-2-2-22200002-2-2-2220000000000-20020000000000000000
χ2122222222-2-2222-22-222-2-2-2-22222200-20022-2-2-2-2000000000000000000000000
χ2222222222-2-2222-22-222-2-2-2-2-2-2-2-2200-200-2-22222000000000000000000000000
χ2322222222-2-2222-22-2-2-2-2-2222222-200200-2-222-2-2000000000000000000000000
χ2422222222-2-2222-22-2-2-2-2-222-2-2-2-2-20020022-2-222000000000000000000000000
χ2522222222-2-2-2-2-2-2-2-22222220000-200-2000000002i2i−2i−2i0000000000002i−2i000000
χ2622222222-2-2-2-2-2-2-2-22222220000-200-200000000−2i−2i2i2i000000000000−2i2i000000
χ2722222222-2-2-2-2-2-2-2-2-2-222-2-200002002000000002i2i−2i−2i000000000000−2i2i000000
χ2822222222-2-2-2-2-2-2-2-2-2-222-2-20000200200000000−2i−2i2i2i0000000000002i−2i000000
χ292-2-222-2-22222-2-2-22-2002-20022-2-200000000002-2000000002i−2i2i−2i000000000000
χ302-2-222-2-22222-2-2-22-2002-20022-2-200000000002-200000000−2i2i−2i2i000000000000
χ312-2-222-2-22222-2-2-22-2002-200-2-2220000000000-22000000002i−2i−2i2i000000000000
χ322-2-222-2-22222-2-2-22-2002-200-2-2220000000000-2200000000−2i2i2i−2i000000000000
χ332-2-222-2-22-2-22-2-222200-220022-2-20000000000-22000002-2000002-20000000000
χ342-2-222-2-22-2-22-2-222200-220022-2-20000000000-2200000-2200000-220000000000
χ352-2-222-2-22-2-22-2-222200-2200-2-22200000000002-2000002-200000-220000000000
χ362-2-222-2-22-2-22-2-222200-2200-2-22200000000002-200000-22000002-20000000000
χ374444-4-4-4-40044-40-4000000000000000000000000000000000000022−2200000000
χ384444-4-4-4-40044-40-40000000000000000000000000000000000000−222200000000
χ394444-4-4-4-400-4-4404000000000000000000000000000000000000000002i2−2i20000
χ404444-4-4-4-400-4-440400000000000000000000000000000000000000000−2i22i20000
χ4144-4-444-4-40000000000004-42i2−2i22i2−2i2000000002i2−2i200000000000000000000000000
χ4244-4-444-4-40000000000004-4−2i22i2−2i22i200000000−2i22i200000000000000000000000000
χ4344-4-444-4-4000000000000-442i2−2i22i2−2i200000000−2i22i200000000000000000000000000
χ4444-4-444-4-4000000000000-44−2i22i2−2i22i2000000002i2−2i200000000000000000000000000
χ4544-4-4-4-4444-400040-4000000000004i−4i000000000000000000000000000000000
χ4644-4-4-4-4444-400040-400000000000−4i4i000000000000000000000000000000000
χ4744-4-4-4-444-44000-404000000000000004-4000000000000000000000000000000
χ4844-4-4-4-444-44000-40400000000000000-44000000000000000000000000000000
χ494-44-44-44-4000000004i−4i00002i2−2i2−2i22i200000022−220000000000000000000000000000
χ504-44-44-44-4000000004i−4i0000−2i22i22i2−2i2000000−22220000000000000000000000000000
χ514-44-44-44-400000000−4i4i00002i2−2i2−2i22i2000000−22220000000000000000000000000000
χ524-44-44-44-400000000−4i4i0000−2i22i22i2−2i200000022−220000000000000000000000000000
χ534-44-4-44-444-4000-404000000000000000000000022−2222−2200000000000000000000
χ544-44-4-44-444-4000-4040000000000000000000000−2222−222200000000000000000000
χ554-44-4-44-44-4400040-400000000000000000000002i2−2i2−2i22i200000000000000000000
χ564-44-4-44-44-4400040-40000000000000000000000−2i22i22i2−2i200000000000000000000
χ574-4-444-4-4444-444-4-4-400-44000000000000000000000000000000000000000000
χ584-4-444-4-44-4-4-4444-44004-4000000000000000000000000000000000000000000
χ594-4-44-444-4004-440-40000000000000000000000000000000000000000000002i2−2i2
χ604-4-44-444-4004-440-4000000000000000000000000000000000000000000000−2i22i2
χ614-4-44-444-400-44-404000000000000000000000000000000000000000000022−2200
χ624-4-44-444-400-44-4040000000000000000000000000000000000000000000−222200

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