Finite Group Databasebeta

← Group #339060

Character table — Group #339060

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444448888888888888888888888161616161616161616161616323232
order12222222444444444488884444444488888888888888444444888888444
χ111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-111111111111111111-1-1-1-1-111-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1111111-1-11111-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-111
χ4111111111111111111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-111-1-111111-1-1
χ51111111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-1-1
χ61111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1111111-111
χ71111111111111111111111-1-1-1-111-1-11111-1-1-1-1111111-1111-1-1-1-11111-1-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1111
χ9111111111111111111-1-1-1-111111111-1-111-1-1-1-111-1-1-1-11-11-111-1-1-1-111-1-11
χ10111111111111111111-1-1-1-11111-1-111-1-111-1-1-1-111-1-1-1-111-11-1-1-1-111-1-111-1
χ11111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11-1-1-11111-1-11-11
χ12111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-11-111111-1-111-11-1
χ13111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111111-11-111-1-111-1-1-11-1
χ14111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1111111-11-1-1-1-1-1-1111-11
χ15111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-11-1-1-111-1-11111-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-11-11111111-1-1-1-11
χ17222222222-2-22-2-222-2-20000222200-2-200220000-2-20000-200000000000000
χ18222222222-2-22-2-222-2-2000022-2-200-2-200-2-20000220000200000000000000
χ19222222222-2-22-2-222-2-20000-2-222002200-2-20000220000-200000000000000
χ20222222222-2-22-2-222-2-20000-2-2-2-2002200220000-2-20000200000000000000
χ2122222222-222-222-2-2-2-2222200002200-2-20000000000000-2-2200000000000
χ2222222222-222-222-2-2-2-222220000-2-200-2-2000000000000022-200000000000
χ2322222222-222-222-2-2-2-2-2-2-2-2000022002200000000000002-2-200000000000
χ2422222222-222-222-2-2-2-2-2-2-2-20000-2-200220000000000000-22200000000000
χ2522-222-2-2-2200200-2-20022−2−22-22-200002−22-222−2−20022−2−20000002−20000000
χ2622-222-2-2-2200200-2-20022−2−22-2-2200002−2-2222−2−200−2−222000000−220000000
χ2722-222-2-2-2200200-2-20022−2−2-222-200002−2-22−2−22200−2−2220000002−20000000
χ2822-222-2-2-2200200-2-20022−2−2-22-2200002−22-2−2−2220022−2−2000000−220000000
χ2922-222-2-2-2200200-2-200−2−2222-22-20000−222-2−2−22200−2−222000000−220000000
χ3022-222-2-2-2200200-2-200−2−2222-2-220000−22-22−2−2220022−2−20000002−20000000
χ3122-222-2-2-2200200-2-200−2−222-222-20000−22-2222−2−20022−2−2000000−220000000
χ3222-222-2-2-2200200-2-200−2−222-22-220000−222-222−2−200−2−2220000002−20000000
χ332-22-222-2-2-2-2-2222-22-2200000000000000002-22-200000000002i−2i002i−2i00000
χ342-22-222-2-2-2-2-2222-22-2200000000000000002-22-20000000000−2i2i00−2i2i00000
χ352-22-222-2-2-2-2-2222-22-220000000000000000-22-2200000000002i−2i00−2i2i00000
χ362-22-222-2-2-2-2-2222-22-220000000000000000-22-220000000000−2i2i002i−2i00000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000
χ38444-4-4-44-404-404-4000000000000000000000000000000000000000022−22000
χ39444-4-4-44-404-404-40000000000000000000000000000000000000000−2222000
χ40444-4-4-44-40-440-440000000000004-40000000000000000000000000000000
χ41444-4-4-44-40-440-44000000000000-440000000000000000000000000000000
χ4244-444-4-4-4-400-40044002222−22−2200000000−2222000000000000000000000000000
χ4344-444-4-4-4-400-4004400−22−2222220000000022−22000000000000000000000000000
χ444-444-4-4-4404-40-44000000000000000000000000002i2−2i22i2−2i2000000000000000
χ454-444-4-4-4404-40-4400000000000000000000000000−2i22i2−2i22i2000000000000000
χ464-444-4-4-440-4404-400004i−4i4i−4i0000000000000000000000000000000000000
χ474-444-4-4-440-4404-40000−4i4i−4i4i0000000000000000000000000000000000000
χ484-44-444-4-4444-4-4-44-4-4400000000000000000000000000000000000000000
χ494-44-444-4-44-4-4-4444-44-400000000000000000000000000000000000000000
χ504-44-444-4-4-4444-4-4-444-400000000000000000000000000000000000000000
χ514-4-44-444-400000000002i2−2i2−2i22i2000000000000000022−222i−2i−2i2i000000000000000
χ524-4-44-444-400000000002i2−2i2−2i22i20000000000000000−2222−2i2i2i−2i000000000000000
χ534-4-44-444-40000000000−2i22i22i2−2i2000000000000000022−22−2i2i2i−2i000000000000000
χ544-4-44-444-40000000000−2i22i22i2−2i20000000000000000−22222i−2i−2i2i000000000000000
χ554-4-4-44-444400-400-440000000000004-400000000000000000000000000000
χ564-4-4-44-444400-400-44000000000000-4400000000000000000000000000000
χ574-4-4-44-444-4004004-400000000000000000022−22−2222000000000000000000000
χ584-4-4-44-444-4004004-4000000000000000000−222222−22000000000000000000000
χ5988-8-8-88-88000000000000000000000000000000000000000000000000000

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