Finite Group Databasebeta

← Group #336158

Character table — Group #336158

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444448888888888888888888888161616161616161616161616323232
order12222222444444444488884444444488888888888888244444888888244
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-11-111-1-1-1-1-1-1-1-1-111
χ311111111111111111111111111-1-11111111111111111-11-1-1-1-1-1-111-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1111-1-1
χ51111111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-11-1-1
χ61111111111111111111111-1-1-1-111-1-11111-1-1-1-11111111-111-1-111-1-111-1-1-1
χ71111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111-111
χ81111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1111
χ9111111111111111111-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-111-11111-1-1-1-1-1-11
χ10111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-1-1-1-1-111111-11
χ11111111111111111111-1-1-1-11111-1-11111-1-1-1-1-1-111-1-1-1-111-11-1-1-1-1-1-11111-1
χ12111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111111-1-1-11-1
χ13111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-111-111-1-1-1-111-11-1
χ14111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1-1-11-1-1-11111-1-111-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1111111-11-1-111-1-1-1-11-11
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11-1-1111-1-11111-1-11
χ172222222222-2-2-222-2-2-222220000220000-2-2000000000020-2-200000000000
χ182222222222-2-2-222-2-2-222220000-2-20000-2-20000000000-202200000000000
χ192222222222-2-2-222-2-2-2-2-2-2-20000220000220000000000-20-2200000000000
χ202222222222-2-2-222-2-2-2-2-2-2-20000-2-20000220000000000202-200000000000
χ2122222222-2-2222-2-22-2-2000022-2-2002222000000-2-200000-20000000000000
χ2222222222-2-2222-2-22-2-2000022-2-200-2-2-2-2000000220000020000000000000
χ2322222222-2-2222-2-22-2-20000-2-2220022-2-20000002200000-20000000000000
χ2422222222-2-2222-2-22-2-20000-2-22200-2-222000000-2-20000020000000000000
χ2522-2-22-22-2002-2-200200i2i2−i2−i2002-2002-200i2−i2i2i2−i2−i22-2i2i2−i2−i200000000i2−i200000
χ2622-2-22-22-2002-2-200200i2i2−i2−i2002-200-2200i2−i2i2i2−i2−i2-22−i2−i2i2i200000000−i2i200000
χ2722-2-22-22-2002-2-200200i2i2−i2−i200-22002-200i2−i2−i2−i2i2i2-22−i2−i2i2i200000000i2−i200000
χ2822-2-22-22-2002-2-200200i2i2−i2−i200-2200-2200i2−i2−i2−i2i2i22-2i2i2−i2−i200000000−i2i200000
χ2922-2-22-22-2002-2-200200−i2−i2i2i2002-2002-200−i2i2−i2−i2i2i22-2−i2−i2i2i200000000−i2i200000
χ3022-2-22-22-2002-2-200200−i2−i2i2i2002-200-2200−i2i2−i2−i2i2i2-22i2i2−i2−i200000000i2−i200000
χ3122-2-22-22-2002-2-200200−i2−i2i2i200-22002-200−i2i2i2i2−i2−i2-22i2i2−i2−i200000000−i2i200000
χ3222-2-22-22-2002-2-200200−i2−i2i2i200-2200-2200−i2i2i2i2−i2−i22-2−i2−i2i2i200000000i2−i200000
χ332-2-2222-2-222-22-2-2-22-2200000000000000002i−2i2i−2i00000000002i−2i00002-2000
χ342-2-2222-2-222-22-2-2-22-2200000000000000002i−2i2i−2i0000000000−2i2i0000-22000
χ352-2-2222-2-222-22-2-2-22-220000000000000000−2i2i−2i2i00000000002i−2i0000-22000
χ362-2-2222-2-222-22-2-2-22-220000000000000000−2i2i−2i2i0000000000−2i2i00002-2000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000
χ3844-44-4-4-444-40004-4000000000000000000000000000000000002i2−2i20000000
χ3944-44-4-4-444-40004-400000000000000000000000000000000000−2i22i20000000
χ4044-44-4-4-44-44000-44000000000004i−4i0000000000000000000000000000000
χ4144-44-4-4-44-44000-4400000000000−4i4i0000000000000000000000000000000
χ4244-4-44-44-400-44400-4002i22i2−2i2−2i20000000000−2i22i20000000000000000000000000
χ4344-4-44-44-400-44400-400−2i2−2i22i22i200000000002i2−2i20000000000000000000000000
χ444-444-4-44-44-4000-440004i−4i4i−4i0000000000000000000000000000000000000
χ454-444-4-44-44-4000-44000−4i4i−4i4i0000000000000000000000000000000000000
χ464-444-4-44-4-440004-400000000000000000000000002i2−2i22i2−2i2000000000000000
χ474-444-4-44-4-440004-40000000000000000000000000−2i22i2−2i22i2000000000000000
χ484-44-44-4-440044-400-40000004i−4i00000000000000000000000000000000000
χ494-44-44-4-440044-400-4000000−4i4i00000000000000000000000000000000000
χ504-44-44-4-4400-4-4400400000000000000000022−22−2222000000000000000000000
χ514-44-44-4-4400-4-44004000000000000000000−222222−22000000000000000000000
χ524-4-4444-4-4444-44-4-4-44-400000000000000000000000000000000000000000
χ534-4-4444-4-4-4-44-4444-4-4400000000000000000000000000000000000000000
χ544-4-4444-4-4-4-4-44-44444-400000000000000000000000000000000000000000
χ554-4-4-4-4444000000000022−22−22220000000022−22000000002-2-22000000000000000
χ564-4-4-4-4444000000000022−22−222200000000−222200000000-222-2000000000000000
χ574-4-4-4-44440000000000−222222−220000000022−2200000000-222-2000000000000000
χ584-4-4-4-44440000000000−222222−2200000000−2222000000002-2-22000000000000000
χ59888-8-88-8-8000000000000000000000000000000000000000000000000000

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