Finite Group Databasebeta

← Group #341128

Character table — Group #341128

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444448888888888888888888888161616161616161616161616323232
order12222222444444444488884444444488888888888888444444888888444
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-11-1-1-1-1-1-111-1
χ3111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11
χ4111111111111111111111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1111-1-111-1-1-1
χ51111111111111111111111-1-111111111111111111111-1-11-1-1-1-1-111-1-1-1-1-1
χ61111111111111111111111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-111-111-1-111-1-11
χ71111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-111111111-1
χ81111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-111-1-1-1-1-1-1-1111
χ9111111111111111111-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-11111-1-1-1-1-111-11-1
χ10111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-1-1-11111-1-1-111
χ11111111111111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-11111-11111-111-1-1-1-11-1-1
χ12111111111111111111-1-1-1-111-1-1-1-1-1-111-1-1111111-1-1-1-1-11-1-1-1-1-1-111111-11
χ13111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-11-11-1-1111-1-1-1-11-11
χ14111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1111-1-111111-1-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111111-11-1-11-1-1-1-111-111
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11-1-11111111-1-1-11-1
χ172222222222-2-2-222-2-2-222222200000000-2-20000000000-2-20002000000000
χ182222222222-2-2-222-2-2-22222-2-200000000-2-2000000000022000-2000000000
χ192222222222-2-2-222-2-2-2-2-2-2-222000000002200000000002-2000-2000000000
χ202222222222-2-2-222-2-2-2-2-2-2-2-2-200000000220000000000-220002000000000
χ2122222222-2-2222-2-22-2-200000022-2-22222000000-2-2000000-2000000000000
χ2222222222-2-2222-2-22-2-200000022-2-2-2-2-2-2000000220000002000000000000
χ2322222222-2-2222-2-22-2-2000000-2-22222-2-200000022000000-2000000000000
χ2422222222-2-2222-2-22-2-2000000-2-222-2-222000000-2-20000002000000000000
χ2522-2-2-22-22002-2-200200i2i2−i2−i2002i−2i002-22i−2ii2−i222−2−20022−2−200000000i2−i200000
χ2622-2-2-22-22002-2-200200i2i2−i2−i2002i−2i00-22−2i2ii2−i222−2−200−2−22200000000−i2i200000
χ2722-2-2-22-22002-2-200200i2i2−i2−i200−2i2i002-2−2i2ii2−i2−2−22200−2−22200000000i2−i200000
χ2822-2-2-22-22002-2-200200i2i2−i2−i200−2i2i00-222i−2ii2−i2−2−2220022−2−200000000−i2i200000
χ2922-2-2-22-22002-2-200200−i2−i2i2i2002i−2i002-22i−2i−i2i2−2−22200−2−22200000000−i2i200000
χ3022-2-2-22-22002-2-200200−i2−i2i2i2002i−2i00-22−2i2i−i2i2−2−2220022−2−200000000i2−i200000
χ3122-2-2-22-22002-2-200200−i2−i2i2i200−2i2i002-2−2i2i−i2i222−2−20022−2−200000000−i2i200000
χ3222-2-2-22-22002-2-200200−i2−i2i2i200−2i2i00-222i−2i−i2i222−2−200−2−22200000000i2−i200000
χ332-2-2-2222-222-22-2-2-22-2200000000000000002i−2i2i−2i0000000002-202i−2i0000000
χ342-2-2-2222-222-22-2-2-22-2200000000000000002i−2i2i−2i000000000-220−2i2i0000000
χ352-2-2-2222-222-22-2-2-22-220000000000000000−2i2i−2i2i0000000002-20−2i2i0000000
χ362-2-2-2222-222-22-2-2-22-220000000000000000−2i2i−2i2i000000000-2202i−2i0000000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000
χ38444-44-4-4-44-40004-400000000000000000000000000000000000000022−22000
χ39444-44-4-4-44-40004-4000000000000000000000000000000000000000−2222000
χ40444-44-4-4-4-44000-4400000004-400000000000000000000000000000000000
χ41444-44-4-4-4-44000-440000000-4400000000000000000000000000000000000
χ4244-4-4-44-4400-44400-4002i22i2−2i2−2i20000000000−2i22i20000000000000000000000000
χ4344-4-4-44-4400-44400-400−2i2−2i22i22i200000000002i2−2i20000000000000000000000000
χ444-444-44-4-40044-400-400000000004-40000000000000000000000000000000
χ454-444-44-4-40044-400-40000000000-440000000000000000000000000000000
χ464-444-44-4-400-4-440040000000000000000002i2−2i2−2i22i2000000000000000000000
χ474-444-44-4-400-4-44004000000000000000000−2i22i22i2−2i2000000000000000000000
χ484-44-4-4-444000000000022−2222−2200000000000000002i2−2i22i−2i2i−2i000000000000000
χ494-44-4-4-444000000000022−2222−220000000000000000−2i22i2−2i2i−2i2i000000000000000
χ504-44-4-4-4440000000000−2222−222200000000000000002i2−2i2−2i2i−2i2i000000000000000
χ514-44-4-4-4440000000000−2222−22220000000000000000−2i22i22i−2i2i−2i000000000000000
χ524-4-444-4-444-4000-440004i−4i−4i4i0000000000000000000000000000000000000
χ534-4-444-4-444-4000-44000−4i4i4i−4i0000000000000000000000000000000000000
χ544-4-444-4-44-440004-400000000000000000000000002i2−2i2−2i22i2000000000000000
χ554-4-444-4-44-440004-40000000000000000000000000−2i22i22i2−2i2000000000000000
χ564-4-4-4444-4444-44-4-4-44-400000000000000000000000000000000000000000
χ574-4-4-4444-4-4-44-4444-4-4400000000000000000000000000000000000000000
χ584-4-4-4444-4-4-4-44-44444-400000000000000000000000000000000000000000
χ5988-88-8-88-8000000000000000000000000000000000000000000000000000

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