Finite Group Databasebeta

← Group #324554

Character table — Group #324554

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111111122222222444444444444444444444444441616161616161616161616161616161632323232
order12222222444444444444444444888888888888888824448888888888882444
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-1-11
χ611111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-111-1
χ711111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-111-1
χ811111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111-1-11
χ91111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1111-1-111-1-111-1-111-1-1
χ101111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1111-1-1-1-111-1-111-1-111
χ111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-1-11111-1-111-1-1-1-111
χ121111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-1-111-1-111-1-11111-1-1
χ131111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-11-1-11111-1-1-1-1111-11-1
χ141111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-11-1-111-1-11111-1-1-11-11
χ151111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-111-111-1-111-1-1-1-111-11-11
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-111-111-1-1-1-11111-1-11-11-1
χ172222222222-2-2-2-22222-2-2-2-222-2-2000000000000000022-2-20000000000000000
χ182222222222-2-2-2-22222-2-2-2-222-2-20000000000000000-2-2220000000000000000
χ192222222222-2-2-2-222-2-222-2-2-2-22200000000000000002-22-20000000000000000
χ202222222222-2-2-2-222-2-222-2-2-2-2220000000000000000-22-220000000000000000
χ2122222222-2-22222-2-22222-2-2-2-2-2-22222-2-2-2-22222-2-2-2-200000000000000000000
χ2222222222-2-22222-2-22222-2-2-2-2-2-2-2-2-2-22222-2-2-2-2222200000000000000000000
χ2322222222-2-22222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2222200000000000000000000
χ2422222222-2-22222-2-2-2-2-2-2-2-22222-2-2-2-222222222-2-2-2-200000000000000000000
χ2522222222-2-2-2-2-2-2-2-222-2-222-2-222000000000000000000002i−2i2i−2i000000000000
χ2622222222-2-2-2-2-2-2-2-222-2-222-2-22200000000000000000000−2i2i−2i2i000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2222222-2-2000000000000000000002i−2i−2i2i000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2222222-2-200000000000000000000−2i2i2i−2i000000000000
χ292-2-222-2-222-222-2-22-200002-20000000000002i2i−2i−2i2i2i−2i−2i00000000002-22i−2i000000
χ302-2-222-2-222-222-2-22-200002-20000000000002i2i−2i−2i2i2i−2i−2i0000000000-22−2i2i000000
χ312-2-222-2-222-222-2-22-200002-2000000000000−2i−2i2i2i−2i−2i2i2i00000000002-2−2i2i000000
χ322-2-222-2-222-222-2-22-200002-2000000000000−2i−2i2i2i−2i−2i2i2i0000000000-222i−2i000000
χ332-2-222-2-22-2222-2-2-220000-220000000000002i2i−2i−2i−2i−2i2i2i000000002-200002i−2i0000
χ342-2-222-2-22-2222-2-2-220000-220000000000002i2i−2i−2i−2i−2i2i2i00000000-220000−2i2i0000
χ352-2-222-2-22-2222-2-2-220000-22000000000000−2i−2i2i2i2i2i−2i−2i000000002-20000−2i2i0000
χ362-2-222-2-22-2222-2-2-220000-22000000000000−2i−2i2i2i2i2i−2i−2i00000000-2200002i−2i0000
χ37444-4-4-4-44004-44-40000000000000000000000004i−4i4i−4i00000000000000000000
χ38444-4-4-4-44004-44-4000000000000000000000000−4i4i−4i4i00000000000000000000
χ39444-4-4-4-4400-44-440000000000004i4i−4i−4i00000000000000000000000000000000
χ40444-4-4-4-4400-44-44000000000000−4i−4i4i4i00000000000000000000000000000000
χ4144-44-44-4-4000000000000004i−4i0000002222−22−222i2−2i22i2−2i2000000000000000000000000
χ4244-44-44-4-4000000000000004i−4i000000−22−222222−2i22i2−2i22i2000000000000000000000000
χ4344-44-44-4-400000000000000−4i4i0000002222−22−22−2i22i2−2i22i2000000000000000000000000
χ4444-44-44-4-400000000000000−4i4i000000−22−2222222i2−2i22i2−2i2000000000000000000000000
χ4544-4-44-44-44-40000-44004i−4i00004i−4i000000000000000000000000000000000000
χ4644-4-44-44-44-40000-4400−4i4i0000−4i4i000000000000000000000000000000000000
χ4744-4-44-44-4-4400004-4004i−4i0000−4i4i000000000000000000000000000000000000
χ4844-4-44-44-4-4400004-400−4i4i00004i−4i000000000000000000000000000000000000
χ494-444-4-44-4000000004i−4i000000002i2−2i22i2−2i2000022−22−2222000000000000000000000000
χ504-444-4-44-4000000004i−4i00000000−2i22i2−2i22i20000−222222−22000000000000000000000000
χ514-444-4-44-400000000−4i4i000000002i2−2i22i2−2i20000−222222−22000000000000000000000000
χ524-444-4-44-400000000−4i4i00000000−2i22i2−2i22i2000022−22−2222000000000000000000000000
χ534-44-444-4-4440000-4-4000000000022−22−222222−2222−220000000000000000000000000000
χ544-44-444-4-4440000-4-40000000000−222222−22−2222−22220000000000000000000000000000
χ554-44-444-4-4-4-4000044000000000022−22−2222−2222−22220000000000000000000000000000
χ564-44-444-4-4-4-40000440000000000−222222−2222−2222−220000000000000000000000000000
χ574-4-444-4-444-4-4-4444-40000-440000000000000000000000000000000000000000
χ584-4-444-4-44-44-4-444-4400004-40000000000000000000000000000000000000000
χ594-4-4-4-4444004-4-440000000000000000000000004-4-4400000000000000000000
χ604-4-4-4-4444004-4-44000000000000000000000000-444-400000000000000000000
χ614-4-4-4-444400-444-400000000000000004-4-440000000000000000000000000000
χ624-4-4-4-444400-444-40000000000000000-444-40000000000000000000000000000

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