Finite Group Databasebeta

← Group #329467

Character table — Group #329467

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111111122222222444444444444444444444444441616161616161616161616161616161632323232
order12222222444444442244444444888888888888888844448888888888884444
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-1
χ611111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-11-11
χ711111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-11-11
χ811111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-1
χ91111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11-11-111-1-111-1-111-1-111-1-1
χ101111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11-11-1-1-111-1-11111-1-1-1-111
χ111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1111-1-111-1-1-1-111-1-111
χ121111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-1-111-1-111-1-11111-1-1
χ131111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-111-1-1-1-111-1-1111-1-11
χ141111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-1-1-11111-1-1-1-111-111-1
χ151111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-11-1111-1-1-1-11111-1-1-111-1
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-11-11-1-11111-1-111-1-11-1-11
χ1722222222222-2-2-2-222222-2-2-2-2-2-22222-2-2-2-22222-2-2-2-200000000000000000000
χ1822222222222-2-2-2-222222-2-2-2-2-2-2-2-2-2-22222-2-2-2-2222200000000000000000000
χ1922222222222-2-2-2-22-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2222200000000000000000000
χ2022222222222-2-2-2-22-2-2-2-2-2-22222-2-2-2-222222222-2-2-2-200000000000000000000
χ2122222222-2-2-22222-222-2-2-2-2-2-22200000000000000002-2-220000000000000000
χ2222222222-2-2-22222-222-2-2-2-2-2-2220000000000000000-222-20000000000000000
χ2322222222-2-2-22222-2-2-222-2-222-2-2000000000000000022-2-20000000000000000
χ2422222222-2-2-22222-2-2-222-2-222-2-20000000000000000-2-2220000000000000000
χ2522222222-2-2-2-2-2-2-2-222-2-22222-2-200000000000000000000000000002i−2i2i−2i0000
χ2622222222-2-2-2-2-2-2-2-222-2-22222-2-20000000000000000000000000000−2i2i−2i2i0000
χ2722222222-2-2-2-2-2-2-2-2-2-22222-2-22200000000000000000000000000002i−2i−2i2i0000
χ2822222222-2-2-2-2-2-2-2-2-2-22222-2-2220000000000000000000000000000−2i2i2i−2i0000
χ29222-22-2-2-222-20000-22-22-2000000000022-2-2000022-2-200002−22−22−22−200000000
χ30222-22-2-2-222-20000-22-22-2000000000022-2-2000022-2-20000−22−22−22−2200000000
χ31222-22-2-2-222-20000-22-22-20000000000-2-2220000-2-22200002−22−2−22−2200000000
χ32222-22-2-2-222-20000-22-22-20000000000-2-2220000-2-2220000−22−222−22−200000000
χ33222-22-2-2-222-20000-2-22-22000000000022-2-20000-2-22200002−2−222−2−2200000000
χ34222-22-2-2-222-20000-2-22-22000000000022-2-20000-2-2220000−222−2−222−200000000
χ35222-22-2-2-222-20000-2-22-220000000000-2-222000022-2-200002−2−22−222−200000000
χ36222-22-2-2-222-20000-2-22-220000000000-2-222000022-2-20000−222−22−2−2200000000
χ37444-44-4-4-4-4-44000044-4-44000000000000000000000000000000000000000000
χ38444-44-4-4-4-4-4400004-444-4000000000000000000000000000000000000000000
χ3944-44-44-4-4000000000000004-400000022−2222−222222−22−22000000000000000000000000
χ4044-44-44-4-4000000000000004-4000000−2222−2222−22−222222000000000000000000000000
χ4144-44-44-4-400000000000000-4400000022−2222−22−22−222222000000000000000000000000
χ4244-44-44-4-400000000000000-44000000−2222−22222222−22−22000000000000000000000000
χ4344-4-4-4-44400044-4-4000000000002222−22−2222−22−22220000000000000000000000000000
χ4444-4-4-4-44400044-4-400000000000−22−222222−222222−220000000000000000000000000000
χ4544-4-4-4-444000-4-444000000000002222−22−22−222222−220000000000000000000000000000
χ4644-4-4-4-444000-4-44400000000000−22−22222222−22−22220000000000000000000000000000
χ474-444-4-4-440004-44-400000000000000000002i2−2i22i2−2i22i2−2i22i2−2i200000000000000000000
χ484-444-4-4-440004-44-40000000000000000000−2i22i2−2i22i2−2i22i2−2i22i200000000000000000000
χ494-444-4-4-44000-44-4400000000000000000002i2−2i22i2−2i2−2i22i2−2i22i200000000000000000000
χ504-444-4-4-44000-44-440000000000000000000−2i22i2−2i22i22i2−2i22i2−2i200000000000000000000
χ514-44-4-444-400000000000000004i−4i22−2222−22000000002i2−2i2−2i22i200000000000000000000
χ524-44-4-444-400000000000000004i−4i−2222−222200000000−2i22i22i2−2i200000000000000000000
χ534-44-4-444-40000000000000000−4i4i22−2222−2200000000−2i22i22i2−2i200000000000000000000
χ544-44-4-444-40000000000000000−4i4i−2222−2222000000002i2−2i2−2i22i200000000000000000000
χ554-4-444-44-44-440000-400000000004-4-4400000000000000000000000000000000
χ564-4-444-44-44-440000-40000000000-444-400000000000000000000000000000000
χ574-4-444-44-4-44-4000040000000000000000004i−4i−4i4i000000000000000000000000
χ584-4-444-44-4-44-400004000000000000000000−4i4i4i−4i000000000000000000000000
χ594-4-4-444-444-4-44-4-44400004-40000000000000000000000000000000000000000
χ604-4-4-444-444-4-4-444-440000-440000000000000000000000000000000000000000
χ614-4-4-444-44-4444-4-44-40000-440000000000000000000000000000000000000000
χ624-4-4-444-44-444-444-4-400004-40000000000000000000000000000000000000000

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