Finite Group Databasebeta

← Group #340296

Character table — Group #340296

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444448888888888888888888888161616161616161616161616323232
order12222222444444444488884444444488888888888888444444888888244
χ111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-11111111111111111-11-1-1-1-111-1-1-1-1-1-1-1
χ3111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11
χ4111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111111-1
χ51111111111111111111111-1-1111111-1-1111111-1-1-1-1-1-11-11-1-11-1-1-1-1-1-111-1
χ61111111111111111111111-1-111-1-111-1-1111111-1-1-1-1-1-1-1-1-111-1-1-11111-1-11
χ71111111111111111111111-1-1-1-111-1-11111-1-1-1-11111111-11-1-11-1-11111-1-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-111-1-1-1-1-1-1-1111
χ9111111111111111111-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-111-111-1-1-111-1-11-1-1
χ10111111111111111111-1-1-1-11111-1-11111-1-1-1-1-1-111-1-1-1-1-111-1-11-1-1-1-111-111
χ11111111111111111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1111111-111-1-1-1-1-111-11-1
χ12111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-11111-111-1-11-1-111-1-11-11
χ13111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-111-1-1111-11
χ14111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-11-1
χ15111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-1-11-1-1-1-1-11111-1-1-111
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1111111-1-1111-1-1
χ172222222222-2-22-2-22-2-20000222200-2-2-2-20000002200000-20000000000000
χ182222222222-2-22-2-22-2-2000022-2-2002222000000-2-200000-20000000000000
χ192222222222-2-22-2-22-2-20000-2-22200-2-222000000-2-20000020000000000000
χ202222222222-2-22-2-22-2-20000-2-2-2-20022-2-2000000220000020000000000000
χ2122222222-2-222-222-2-2-222220000220000-2-20000000000-20-2002000000000
χ2222222222-2-222-222-2-2-222220000-2-20000-2-2000000000020200-2000000000
χ2322222222-2-222-222-2-2-2-2-2-2-20000220000220000000000-20200-2000000000
χ2422222222-2-222-222-2-2-2-2-2-2-20000-2-2000022000000000020-2002000000000
χ2522-222-2-2-22-200-20020022−2−22-200002i−2i2i−2i2−2i2i2−i2−i200i2i2−i2−i20000002−20000000
χ2622-222-2-2-22-200-20020022−2−22-20000−2i2i−2i2i2−2−i2−i2i2i200−i2−i2i2i20000002−20000000
χ2722-222-2-2-22-200-20020022−2−2-2200002i−2i−2i2i2−2i2i2−i2−i200−i2−i2i2i2000000−220000000
χ2822-222-2-2-22-200-20020022−2−2-220000−2i2i2i−2i2−2−i2−i2i2i200i2i2−i2−i2000000−220000000
χ2922-222-2-2-22-200-200200−2−2222-200002i−2i2i−2i−22−i2−i2i2i200−i2−i2i2i2000000−220000000
χ3022-222-2-2-22-200-200200−2−2222-20000−2i2i−2i2i−22i2i2−i2−i200i2i2−i2−i2000000−220000000
χ3122-222-2-2-22-200-200200−2−222-2200002i−2i−2i2i−22−i2−i2i2i200i2i2−i2−i20000002−20000000
χ3222-222-2-2-22-200-200200−2−222-220000−2i2i2i−2i−22i2i2−i2−i200−i2−i2i2i20000002−20000000
χ332-2-22-2-222-2-2-2-222222-200000000000000002-22-20000000002-2000002-2000
χ342-2-22-2-222-2-2-2-222222-200000000000000002-22-2000000000-2200000-22000
χ352-2-22-2-222-2-2-2-222222-20000000000000000-22-220000000002-200000-22000
χ362-2-22-2-222-2-2-2-222222-20000000000000000-22-22000000000-22000002-2000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000
χ38444-4-4-4-4400000000002i2−2i22i2−2i200000000000000002i2−2i22-22-2000000000000000
χ39444-4-4-4-4400000000002i2−2i22i2−2i20000000000000000−2i22i2-22-22000000000000000
χ40444-4-4-4-440000000000−2i22i2−2i22i200000000000000002i2−2i2-22-22000000000000000
χ41444-4-4-4-440000000000−2i22i2−2i22i20000000000000000−2i22i22-22-2000000000000000
χ4244-444-4-4-4-4400400-4002222−22−220000000000−22220000000000000000000000000
χ4344-444-4-4-4-4400400-400−22−222222000000000022−220000000000000000000000000
χ4444-4-4-444-4004-404-400000000000000000000000002i2−2i2−2i22i2000000000000000
χ4544-4-4-444-4004-404-40000000000000000000000000−2i22i22i2−2i2000000000000000
χ4644-4-4-444-400-440-440004i−4i−4i4i0000000000000000000000000000000000000
χ4744-4-4-444-400-440-44000−4i4i4i−4i0000000000000000000000000000000000000
χ484-444-44-4-44-400400-4000000004-4000000000000000000000000000000000
χ494-444-44-4-44-400400-400000000-44000000000000000000000000000000000
χ504-444-44-4-4-4400-40040000000000000000002i2−2i2−2i22i2000000000000000000000
χ514-444-44-4-4-4400-4004000000000000000000−2i22i22i2−2i2000000000000000000000
χ524-44-44-44-4004-40-4400000000000000000000000000000000000002i2−2i200000
χ534-44-44-44-4004-40-440000000000000000000000000000000000000−2i22i200000
χ544-44-44-44-400-4404-4000000000004i−4i0000000000000000000000000000000
χ554-44-44-44-400-4404-400000000000−4i4i0000000000000000000000000000000
χ564-4-44-4-4444444-4-4-4-44-400000000000000000000000000000000000000000
χ574-4-44-4-44444-4-4-444-4-4400000000000000000000000000000000000000000
χ584-4-44-4-444-4-4444-4-44-4400000000000000000000000000000000000000000
χ598-8-8-888-88000000000000000000000000000000000000000000000000000

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