Finite Group Databasebeta

← Group #332294

Character table — Group #332294

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444448888888888888888888888161616161616161616161616323232
order12222222444444444488882244444488888888888888244444888888444
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-111-1
χ3111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11
χ4111111111111111111111111-1-1-1-1-1-11111-1-1-1-1111111111-1-1-1-1-11111-1-1-1
χ51111111111111111111111-1-111111111111111111111-1-1-11-1-111-1-1-1-1-1-1-1
χ61111111111111111111111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-11
χ71111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111111-1
χ81111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1111
χ9111111111111111111-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-11-1111-1-111-1-1-11-1
χ10111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-1-1-111-1-111-111
χ11111111111111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-11111-11-1111-1-1-1-1111-1-1
χ12111111111111111111-1-1-1-111-1-1-1-1-1-111-1-1111111-1-1-1-1-11-1-1-1-11111-1-11-11
χ13111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-11-111-1-1-1-1-1-1111-11
χ14111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-11-1111111-1-11-1-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111111-111-1-1-1-111-1-1-111
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11-11-11111-1-111-11-1
χ17222222222-22-22-22-2-2-222222200000000-2-20000000000-2-22000000000000
χ18222222222-22-22-22-2-2-22222-2-200000000-2-2000000000022-2000000000000
χ19222222222-22-22-22-2-2-2-2-2-2-222000000002200000000002-2-2000000000000
χ20222222222-22-22-22-2-2-2-2-2-2-2-2-200000000220000000000-222000000000000
χ2122222222-22-22-22-22-2-200000022-2-22222000000-2-20000000-200000000000
χ2222222222-22-22-22-22-2-200000022-2-2-2-2-2-2000000220000000200000000000
χ2322222222-22-22-22-22-2-2000000-2-22222-2-2000000220000000-200000000000
χ2422222222-22-22-22-22-2-2000000-2-222-2-222000000-2-20000000200000000000
χ25222-2-2-22-20-20-202020022−2−200002i−2i2i−2i002−2i2i2−i2−i22-222−2−2000000i2−i20000000
χ26222-2-2-22-20-20-202020022−2−200002i−2i−2i2i002−2i2i2−i2−i2-22−2−222000000−i2i20000000
χ27222-2-2-22-20-20-202020022−2−20000−2i2i2i−2i002−2−i2−i2i2i2-22−2−222000000i2−i20000000
χ28222-2-2-22-20-20-202020022−2−20000−2i2i−2i2i002−2−i2−i2i2i22-222−2−2000000−i2i20000000
χ29222-2-2-22-20-20-2020200−2−22200002i−2i2i−2i00−22−i2−i2i2i22-2−2−222000000−i2i20000000
χ30222-2-2-22-20-20-2020200−2−22200002i−2i−2i2i00−22−i2−i2i2i2-2222−2−2000000i2−i20000000
χ31222-2-2-22-20-20-2020200−2−2220000−2i2i2i−2i00−22i2i2−i2−i2-2222−2−2000000−i2i20000000
χ32222-2-2-22-20-20-2020200−2−2220000−2i2i−2i2i00−22i2i2−i2−i22-2−2−222000000i2−i20000000
χ332-2-22-2-22222-2-222-2-22-200000000000000002i−2i2i−2i00000000002-200002i−2i000
χ342-2-22-2-22222-2-222-2-22-200000000000000002i−2i2i−2i0000000000-220000−2i2i000
χ352-2-22-2-22222-2-222-2-22-20000000000000000−2i2i−2i2i00000000002-20000−2i2i000
χ362-2-22-2-22222-2-222-2-22-20000000000000000−2i2i−2i2i0000000000-2200002i−2i000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000
χ38444-4-4-44-404040-40-4002222−22−220000000000−22220000000000000000000000000
χ39444-4-4-44-404040-40-400−22−222222000000000022−220000000000000000000000000
χ4044-444-4-4-440-40-40400000004-400000000000000000000000000000000000
χ4144-444-4-4-440-40-4040000000-4400000000000000000000000000000000000
χ4244-444-4-4-4-404040-4000000000000000000000000000000000000022−2200000
χ4344-444-4-4-4-404040-40000000000000000000000000000000000000−222200000
χ444-444-44-4-44040-40-4000000000000000000000000022−2222−22000000000000000
χ454-444-44-4-44040-40-40000000000000000000000000−2222−2222000000000000000
χ464-444-44-4-4-40-404040004i−4i4i−4i0000000000000000000000000000000000000
χ474-444-44-4-4-40-40404000−4i4i−4i4i0000000000000000000000000000000000000
χ484-44-44-4-4400000000002i2−2i2−2i22i2000000002i2−2i2000000002-2-22000000000000000
χ494-44-44-4-4400000000002i2−2i2−2i22i200000000−2i22i200000000-222-2000000000000000
χ504-44-44-4-440000000000−2i22i22i2−2i2000000002i2−2i200000000-222-2000000000000000
χ514-44-44-4-440000000000−2i22i22i2−2i200000000−2i22i2000000002-2-22000000000000000
χ524-4-44-4-4444-4-444-4-44-4400000000000000000000000000000000000000000
χ534-4-44-4-444-444-4-444-4-4400000000000000000000000000000000000000000
χ544-4-44-4-444-4-444-4-4444-400000000000000000000000000000000000000000
χ554-4-4-4444-4040-40-404000000004-4000000000000000000000000000000000
χ564-4-4-4444-4040-40-40400000000-44000000000000000000000000000000000
χ574-4-4-4444-40-404040-400000000000000000022−22−2222000000000000000000000
χ584-4-4-4444-40-404040-4000000000000000000−222222−22000000000000000000000
χ5988-8-8-88-88000000000000000000000000000000000000000000000000000

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