Finite Group Databasebeta

← Group #329513

Character table — Group #329513

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111111122222222444444444444444444444444441616161616161616161616161616161632323232
order12222222444444442244444444888888888888888824448888888888882444
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
χ511111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1
χ611111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111
χ711111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111
χ811111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ91111111111111111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-11-11-1
χ101111111111111111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-111-11-11
χ111111111111111111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-11-11
χ121111111111111111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1111-11-1
χ131111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1111-1-11
χ141111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-11111-1-1-111-1
χ151111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-111-1-1-1-111-111-1
χ161111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-11111-1-11-1-11
χ17222222222222-2-2-2-22222-2-2-2-2-2-200000000000000002-2-220000000000000000
χ18222222222222-2-2-2-22222-2-2-2-2-2-20000000000000000-222-20000000000000000
χ19222222222222-2-2-2-2-2-2-2-222-2-22200000000000000002-22-20000000000000000
χ20222222222222-2-2-2-2-2-2-2-222-2-2220000000000000000-22-220000000000000000
χ2122222222-2-2-2-2222222-2-222-2-2-2-22222-2-2-2-22222-2-2-2-200000000000000000000
χ2222222222-2-2-2-2222222-2-222-2-2-2-2-2-2-2-22222-2-2-2-2222200000000000000000000
χ2322222222-2-2-2-22222-2-222-2-2-2-2222222-2-2-2-2-2-2-2-2222200000000000000000000
χ2422222222-2-2-2-22222-2-222-2-2-2-222-2-2-2-222222222-2-2-2-200000000000000000000
χ2522222222-2-2-2-2-2-2-2-222-2-2-2-22222000000000000000000002i−2i2i−2i000000000000
χ2622222222-2-2-2-2-2-2-2-222-2-2-2-2222200000000000000000000−2i2i−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
χ2922-222-2-2-2000022-2-2002i−2i00002i−2i000022-2-22i2i−2i−2i0000000000002−2i2−i22−2i2−i20000
χ3022-222-2-2-2000022-2-2002i−2i00002i−2i000022-2-22i2i−2i−2i000000000000−22−i2i2−22−i2i20000
χ3122-222-2-2-2000022-2-2002i−2i00002i−2i0000-2-222−2i−2i2i2i0000000000002−2i2−i2−22−i2i20000
χ3222-222-2-2-2000022-2-2002i−2i00002i−2i0000-2-222−2i−2i2i2i000000000000−22−i2i22−2i2−i20000
χ3322-222-2-2-2000022-2-200−2i2i0000−2i2i000022-2-2−2i−2i2i2i0000000000002−2−i2i22−2−i2i20000
χ3422-222-2-2-2000022-2-200−2i2i0000−2i2i000022-2-2−2i−2i2i2i000000000000−22i2−i2−22i2−i20000
χ3522-222-2-2-2000022-2-200−2i2i0000−2i2i0000-2-2222i2i−2i−2i0000000000002−2−i2i2−22i2−i20000
χ3622-222-2-2-2000022-2-200−2i2i0000−2i2i0000-2-2222i2i−2i−2i000000000000−22i2−i22−2−i2i20000
χ37444-4-4-4-440000000000004i−4i000000002i2−2i22i2−2i200002222−22−2200000000000000000000
χ38444-4-4-4-440000000000004i−4i00000000−2i22i2−2i22i20000−22−22222200000000000000000000
χ39444-4-4-4-44000000000000−4i4i000000002i2−2i22i2−2i20000−22−22222200000000000000000000
χ40444-4-4-4-44000000000000−4i4i00000000−2i22i2−2i22i200002222−22−2200000000000000000000
χ4144-444-4-4-40000-4-444004i−4i0000−4i4i000000000000000000000000000000000000
χ4244-444-4-4-40000-4-44400−4i4i00004i−4i000000000000000000000000000000000000
χ4344-4-4-444-444-4-4000000000000002i22i2−2i2−2i22i2−2i2−2i22i20000000000000000000000000000
χ4444-4-4-444-444-4-400000000000000−2i2−2i22i22i2−2i22i22i2−2i20000000000000000000000000000
χ4544-4-4-444-4-4-444000000000000002i22i2−2i2−2i2−2i22i22i2−2i20000000000000000000000000000
χ4644-4-4-444-4-4-44400000000000000−2i2−2i22i22i22i2−2i2−2i22i20000000000000000000000000000
χ474-444-44-4-400004-44-400000000000000000000004i−4i4i−4i00000000000000000000
χ484-444-44-4-400004-44-40000000000000000000000−4i4i−4i4i00000000000000000000
χ494-444-44-4-40000-44-4400000000004i−4i4i−4i00000000000000000000000000000000
χ504-444-44-4-40000-44-440000000000−4i4i−4i4i00000000000000000000000000000000
χ514-44-44-44-44-44-400000000000000000000002i2−2i22i2−2i22i2−2i2−2i22i200000000000000000000
χ524-44-44-44-44-44-40000000000000000000000−2i22i2−2i22i2−2i22i22i2−2i200000000000000000000
χ534-44-44-44-4-44-4400000000000000000000002i2−2i22i2−2i2−2i22i22i2−2i200000000000000000000
χ544-44-44-44-4-44-440000000000000000000000−2i22i2−2i22i22i2−2i2−2i22i200000000000000000000
χ554-4-44-4-4444-4-444-4-440000004-400000000000000000000000000000000000000
χ564-4-44-4-4444-4-44-444-4000000-4400000000000000000000000000000000000000
χ574-4-44-4-444-444-44-4-44000000-4400000000000000000000000000000000000000
χ584-4-44-4-444-444-4-444-40000004-400000000000000000000000000000000000000
χ594-4-4-444-44000000004-40000000022−22−2222000022−22−2222000000000000000000000000
χ604-4-4-444-44000000004-400000000−222222−220000−222222−22000000000000000000000000
χ614-4-4-444-4400000000-440000000022−22−22220000−222222−22000000000000000000000000
χ624-4-4-444-4400000000-4400000000−222222−22000022−22−2222000000000000000000000000

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