Finite Group Databasebeta

← Group #340738

Character table — Group #340738

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444448888888888888888888888161616161616161616161616323232
order12222222444444444488884444444488888888888888444444888888444
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1111111111111111-1-1-1-1-111-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1111111-1-11111-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-111-1
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
χ61111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-111111111-1
χ71111111111111111111111-1-1-1-1-1-1111111-1-1-1-1111111-1111-1-1-1-11111-1-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1111
χ9111111111111111111-1-1-1-111111111-1-111-1-1-1-111-1-1-1-11-11-111-1-111-1-1-11-1
χ10111111111111111111-1-1-1-1111111-1-1-1-111-1-1-1-111-1-1-1-111-11-1-1-1-1-1-1111-11
χ11111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11-1-1-111-1-111-111
χ12111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-11-11111111-1-11-1-1
χ13111111111111111111-1-1-1-1-1-111-1-111-1-1-1-11111-1-111111-11-111-1-1-1-1111-1-1
χ14111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1111111-11-1-1-1-111-1-1-111
χ15111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-11-1-1-11111-1-11-11
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-11-111111-1-111-11-1
χ17222222222-2-22-222-2-2-2222200000022-2-20000000000000-2-2200000000000
χ18222222222-2-22-222-2-2-22222000000-2-2-2-2000000000000022-200000000000
χ19222222222-2-22-222-2-2-2-2-2-2-2000000222200000000000002-2-200000000000
χ20222222222-2-22-222-2-2-2-2-2-2-2000000-2-2220000000000000-22200000000000
χ2122222222-222-22-2-22-2-200002222-2-20000220000-2-20000-200000000000000
χ2222222222-222-22-2-22-2-2000022-2-2-2-20000-2-20000220000200000000000000
χ2322222222-222-22-2-22-2-20000-2-222220000-2-20000220000-200000000000000
χ2422222222-222-22-2-22-2-20000-2-2-2-2220000220000-2-20000200000000000000
χ25222-2-2-2-2202-20-20020022−2−22-22i−2i00002−22i−2i22−2−200i2i2−i2−i2000000i2−i20000000
χ26222-2-2-2-2202-20-20020022−2−22-2−2i2i00002−2−2i2i22−2−200−i2−i2i2i2000000−i2i20000000
χ27222-2-2-2-2202-20-20020022−2−2-222i−2i00002−2−2i2i−2−22200−i2−i2i2i2000000i2−i20000000
χ28222-2-2-2-2202-20-20020022−2−2-22−2i2i00002−22i−2i−2−22200i2i2−i2−i2000000−i2i20000000
χ29222-2-2-2-2202-20-200200−2−2222-22i−2i0000−222i−2i−2−22200−i2−i2i2i2000000−i2i20000000
χ30222-2-2-2-2202-20-200200−2−2222-2−2i2i0000−22−2i2i−2−22200i2i2−i2−i2000000i2−i20000000
χ31222-2-2-2-2202-20-200200−2−222-222i−2i0000−22−2i2i22−2−200i2i2−i2−i2000000−i2i20000000
χ32222-2-2-2-2202-20-200200−2−222-22−2i2i0000−222i−2i22−2−200−i2−i2i2i2000000i2−i20000000
χ332-2-22-22-22-2222-2-22-2-2200000000000000002i−2i2i−2i00000000002-200002i−2i000
χ342-2-22-22-22-2222-2-22-2-2200000000000000002i−2i2i−2i0000000000-220000−2i2i000
χ352-2-22-22-22-2222-2-22-2-220000000000000000−2i2i−2i2i00000000002-20000−2i2i000
χ362-2-22-22-22-2222-2-22-2-220000000000000000−2i2i−2i2i0000000000-2200002i−2i000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000
χ38444-4-4-4-440-440400-4002222−22−2200000000−2222000000000000000000000000000
χ39444-4-4-4-440-440400-400−22−2222220000000022−22000000000000000000000000000
χ4044-444-4-4-4400-40-440004-44-40000000000000000000000000000000000000
χ4144-444-4-4-4400-40-44000-44-440000000000000000000000000000000000000
χ4244-444-4-4-4-400404-4000000000000000000000000022−2222−22000000000000000
χ4344-444-4-4-4-400404-40000000000000000000000000−2222−2222000000000000000
χ4444-4-4-444-4000000000022−22−222200000000000000002i2−2i22i−2i−2i2i000000000000000
χ4544-4-4-444-4000000000022−22−22220000000000000000−2i22i2−2i2i2i−2i000000000000000
χ4644-4-4-444-40000000000−222222−2200000000000000002i2−2i2−2i2i2i−2i000000000000000
χ4744-4-4-444-40000000000−222222−220000000000000000−2i22i22i−2i−2i2i000000000000000
χ484-444-4-44-440040-4-400000000000004-400000000000000000000000000000
χ494-444-4-44-440040-4-40000000000000-4400000000000000000000000000000
χ504-444-4-44-4-400-404400000000000000000000000000000000000002i2−2i200000
χ514-444-4-44-4-400-40440000000000000000000000000000000000000−2i22i200000
χ524-4-44-44-44444-4-44-4-44-400000000000000000000000000000000000000000
χ534-4-44-44-444-4-4-444-44-4400000000000000000000000000000000000000000
χ544-4-44-44-44-4-4-444-4444-400000000000000000000000000000000000000000
χ554-4-4-44-44404-40400-40000000000000000002i2−2i2−2i22i2000000000000000000000
χ564-4-4-44-44404-40400-4000000000000000000−2i22i22i2−2i2000000000000000000000
χ574-4-4-44-4440-440-400400000000004-40000000000000000000000000000000
χ584-4-4-44-4440-440-40040000000000-440000000000000000000000000000000
χ598-88-888-8-8000000000000000000000000000000000000000000000000000

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