Finite Group Databasebeta

← Group #336047

Character table — Group #336047

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444448888888888888888888888161616161616161616161616323232
order12222222444444444488882222444488888888888888444444888888244
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-111111111111111-1-11-1-1-111-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1111111-1-11111-1-1-1-1-1-111-11-1-1-1-1-1-1-1-111-1
χ4111111111111111111111111-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-11
χ51111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11
χ61111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-111111111-1
χ71111111111111111111111-1-1-1-1-1-1111111-1-1-1-111111111-11-1-1-1-11111-1-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1111
χ9111111111111111111-1-1-1-111111111-1-111-1-1-1-111-1-1-1-11-11-111-1-111-1-11-1-1
χ10111111111111111111-1-1-1-1111111-1-1-1-111-1-1-1-111-1-1-1-1-1111-1-1-1-1-1-111-111
χ11111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-111-1-1111-11
χ12111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-11-11111111-1-1-11-1
χ13111111111111111111-1-1-1-1-1-111-1-111-1-1-1-11111-1-111111-11-111-1-1-1-111-11-1
χ14111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1111-1-1-1-111-1-11-11
χ15111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-11-1-1-1-1-11111-1-1-111
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-11-111111-1-1111-1-1
χ172222222222-22-2-2-22-2-200002222-2-20000-2-2000022000000-2000000000000
χ182222222222-22-2-2-22-2-2000022-2-2-2-20000220000-2-20000002000000000000
χ192222222222-22-2-2-22-2-20000-2-222220000220000-2-2000000-2000000000000
χ202222222222-22-2-2-22-2-20000-2-2-2-2220000-2-20000220000002000000000000
χ2122222222-2-22-2222-2-2-2222200000022-2-2000000000000-220-200000000000
χ2222222222-2-22-2222-2-2-22222000000-2-2-2-20000000000002-20200000000000
χ2322222222-2-22-2222-2-2-2-2-2-2-20000002222000000000000-2-20200000000000
χ2422222222-2-22-2222-2-2-2-2-2-2-2000000-2-222000000000000220-200000000000
χ25222-2-22-2-22-20-200020022−2−2002-22i−2i002−22i−2ii2i2−i2−i200i2i2−i2−i20000002−20000000
χ26222-2-22-2-22-20-200020022−2−2002-2−2i2i002−2−2i2i−i2−i2i2i200−i2−i2i2i20000002−20000000
χ27222-2-22-2-22-20-200020022−2−200-222i−2i002−2−2i2ii2i2−i2−i200−i2−i2i2i2000000−220000000
χ28222-2-22-2-22-20-200020022−2−200-22−2i2i002−22i−2i−i2−i2i2i200i2i2−i2−i2000000−220000000
χ29222-2-22-2-22-20-2000200−2−222002-22i−2i00−222i−2i−i2−i2i2i200−i2−i2i2i2000000−220000000
χ30222-2-22-2-22-20-2000200−2−222002-2−2i2i00−22−2i2ii2i2−i2−i200i2i2−i2−i2000000−220000000
χ31222-2-22-2-22-20-2000200−2−22200-222i−2i00−22−2i2i−i2−i2i2i200i2i2−i2−i20000002−20000000
χ32222-2-22-2-22-20-2000200−2−22200-22−2i2i00−222i−2ii2i2−i2−i200−i2−i2i2i20000002−20000000
χ332-22-22-22-222-2-22-22-2-2200000000000000002-22-200000000002i−2i00002i−2i000
χ342-22-22-22-222-2-22-22-2-2200000000000000002-22-20000000000−2i2i0000−2i2i000
χ352-22-22-22-222-2-22-22-2-220000000000000000-22-2200000000002i−2i0000−2i2i000
χ362-22-22-22-222-2-22-22-2-220000000000000000-22-220000000000−2i2i00002i−2i000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000
χ38444-4-44-4-4-4404000-4002222−22−2200000000−2222000000000000000000000000000
χ39444-4-44-4-4-4404000-400−22−2222220000000022−22000000000000000000000000000
χ4044-4-4-4-4440040-4-44000000000000000000000000000000000000022−2200000
χ4144-4-4-4-4440040-4-440000000000000000000000000000000000000−222200000
χ4244-4-4-4-44400-4044-400000000000004-400000000000000000000000000000
χ4344-4-4-4-44400-4044-40000000000000-4400000000000000000000000000000
χ444-444-4-4-444-404000-40000000000000000002i2−2i2−2i22i2000000000000000000000
χ454-444-4-4-444-404000-4000000000000000000−2i22i22i2−2i2000000000000000000000
χ464-444-4-4-44-440-400040000004-400000000000000000000000000000000000
χ474-444-4-4-44-440-40004000000-4400000000000000000000000000000000000
χ484-44-44-44-4444-4-44-4-44-400000000000000000000000000000000000000000
χ494-44-44-44-4-4-444-44-44-4400000000000000000000000000000000000000000
χ504-44-44-44-4-4-4-444-4444-400000000000000000000000000000000000000000
χ514-4-44-444-400404-4-400000000000000000000000002i2−2i22i2−2i2000000000000000
χ524-4-44-444-400404-4-40000000000000000000000000−2i22i2−2i22i2000000000000000
χ534-4-44-444-400-40-4440004-44-40000000000000000000000000000000000000
χ544-4-44-444-400-40-444000-44-440000000000000000000000000000000000000
χ554-4-4-444-44000000000022−22−2222000000000000000022−222-2-22000000000000000
χ564-4-4-444-44000000000022−22−22220000000000000000−2222-222-2000000000000000
χ574-4-4-444-440000000000−222222−22000000000000000022−22-222-2000000000000000
χ584-4-4-444-440000000000−222222−220000000000000000−22222-2-22000000000000000
χ5988-888-8-8-8000000000000000000000000000000000000000000000000000

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