Finite Group Databasebeta

← Group #325439

Character table — Group #325439

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111111122222222444444444444444444444444441616161616161616161616161616161632323232
order12222222444444444444444444888888888888888822448888888888884444
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
χ511111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1
χ611111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111
χ711111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111
χ811111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ9111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-111-1-111-1-111-1-11-11-1
χ10111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-1-1-111-1-11111-1-1-11-11
χ11111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1111-1-111-1-1-1-111-11-11
χ12111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-1-111-1-111-1-1111-11-1
χ13111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-111-1-1-1-111-1-1111-1-11
χ14111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-1-1-11111-1-1-1-111-111-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-1111-1-1-1-11111-1-1-111-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-11-1-11111-1-111-1-11-1-11
χ172222222222-2-2-222-2-2-222-2-222-2-2000000000000000022-2-20000000000000000
χ182222222222-2-2-222-2-2-222-2-222-2-20000000000000000-2-2220000000000000000
χ192222222222-2-2-222-2-2-2-2-222-2-22200000000000000002-2-220000000000000000
χ202222222222-2-2-222-2-2-2-2-222-2-2220000000000000000-222-20000000000000000
χ2122222222-2-2222-2-22-2-222-2-2-2-2222222-2-2-2-22222-2-2-2-200000000000000000000
χ2222222222-2-2222-2-22-2-222-2-2-2-222-2-2-2-22222-2-2-2-2222200000000000000000000
χ2322222222-2-2222-2-22-2-2-2-22222-2-22222-2-2-2-2-2-2-2-2222200000000000000000000
χ2422222222-2-2222-2-22-2-2-2-22222-2-2-2-2-2-222222222-2-2-2-200000000000000000000
χ2522222222-2-2-2-2-2-2-2-2222222-2-2-2-200000000000000000000000000002i−2i2i−2i0000
χ2622222222-2-2-2-2-2-2-2-2222222-2-2-2-20000000000000000000000000000−2i2i−2i2i0000
χ2722222222-2-2-2-2-2-2-2-222-2-2-2-2222200000000000000000000000000002i−2i−2i2i0000
χ2822222222-2-2-2-2-2-2-2-222-2-2-2-222220000000000000000000000000000−2i2i2i−2i0000
χ29222-2-22-2-22-22-2-22-222-2000000000000000022-2-222-2-20000002i−2i2i−2i0000000000
χ30222-2-22-2-22-22-2-22-222-2000000000000000022-2-222-2-2000000−2i2i−2i2i0000000000
χ31222-2-22-2-22-22-2-22-222-20000000000000000-2-222-2-2220000002i−2i−2i2i0000000000
χ32222-2-22-2-22-22-2-22-222-20000000000000000-2-222-2-222000000−2i2i2i−2i0000000000
χ33222-2-22-2-2-222-2-2-222-22000000000000000022-2-2-2-22200002i−2i00002i−2i00000000
χ34222-2-22-2-2-222-2-2-222-22000000000000000022-2-2-2-2220000−2i2i0000−2i2i00000000
χ35222-2-22-2-2-222-2-2-222-220000000000000000-2-22222-2-200002i−2i0000−2i2i00000000
χ36222-2-22-2-2-222-2-2-222-220000000000000000-2-22222-2-20000−2i2i00002i−2i00000000
χ37444-4-44-4-44-4-4444-4-4-4400000000000000000000000000000000000000000000
χ38444-4-44-4-4-44-444-44-44-400000000000000000000000000000000000000000000
χ3944-444-4-4-400000000004-40000002222−22−22000022−2222−22000000000000000000000000
χ4044-444-4-4-400000000004-4000000−22−2222220000−2222−2222000000000000000000000000
χ4144-444-4-4-40000000000-440000002222−22−220000−2222−2222000000000000000000000000
χ4244-444-4-4-40000000000-44000000−22−222222000022−2222−22000000000000000000000000
χ4344-4-4-4-444000000000000004-40000002222−22−2222−22−2222000000000000000000000000
χ4444-4-4-4-444000000000000004-4000000−22−222222−222222−22000000000000000000000000
χ4544-4-4-4-44400000000000000-440000002222−22−22−222222−22000000000000000000000000
χ4644-4-4-4-44400000000000000-44000000−22−22222222−22−2222000000000000000000000000
χ474-444-4-44-444000-4-40000000000022−2222−2222−2222−220000000000000000000000000000
χ484-444-4-44-444000-4-400000000000−2222−2222−2222−22220000000000000000000000000000
χ494-444-4-44-4-4-4000440000000000022−2222−22−2222−22220000000000000000000000000000
χ504-444-4-44-4-4-40004400000000000−2222−222222−2222−220000000000000000000000000000
χ514-44-44-4-444-4000-44000004i−4i004i−4i000000000000000000000000000000000000
χ524-44-44-4-444-4000-4400000−4i4i00−4i4i000000000000000000000000000000000000
χ534-44-44-4-44-440004-4000004i−4i00−4i4i000000000000000000000000000000000000
χ544-44-44-4-44-440004-400000−4i4i004i−4i000000000000000000000000000000000000
χ554-4-44-44-440044-400-400000000000000000000004i−4i4i−4i00000000000000000000
χ564-4-44-44-440044-400-40000000000000000000000−4i4i−4i4i00000000000000000000
χ574-4-44-44-4400-4-4400400000000004-4-4400000000000000000000000000000000
χ584-4-44-44-4400-4-440040000000000-444-400000000000000000000000000000000
χ594-4-4-4444-4004-4400-400000000000000000000004i−4i−4i4i00000000000000000000
χ604-4-4-4444-4004-4400-40000000000000000000000−4i4i4i−4i00000000000000000000
χ614-4-4-4444-400-44-4004000000000000004-4-440000000000000000000000000000
χ624-4-4-4444-400-44-400400000000000000-444-40000000000000000000000000000

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