Finite Group Databasebeta

← Group #338347

Character table — Group #338347

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444448888888888888888888888161616161616161616161616323232
order12222222444444444488882244444488888888888888244444888888444
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-11-111-1-1-1-1-1-1-1-111-1
χ3111111111111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-111-1-1-1-11
χ4111111111111111111111111-1-1-1-1-1-111-1-1-1-1111111111-111-1-111-1-111-1-1-1
χ51111111111111111111111-1-111111111111111111111-11-1-1-1-1-1-111-1-1-1-1-1
χ61111111111111111111111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-11
χ71111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-11-1-1-1-111111111-1
χ81111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1111
χ9111111111111111111-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-111-11111-1-1-1-11-1-1
χ10111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-1-1-1-1-111111-11
χ11111111111111111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-11111-111-111-1-1-1-111-11-1
χ12111111111111111111-1-1-1-111-1-1-1-1-1-1111111-1-111-1-1-1-1-1-11-1-1-11111-1-1-111
χ13111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-111-11-1-1-1-1-1-111-111
χ14111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111111-1-1-11-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111111-11-1-111-1-1-1-11-11
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11-1-1111-1-111111-1-1
χ17222222222-22-22-22-2-2-200000022-2-22222000000-2-200000-20000000000000
χ18222222222-22-22-22-2-2-200000022-2-2-2-2-2-2000000220000020000000000000
χ19222222222-22-22-22-2-2-2000000-2-22222-2-20000002200000-20000000000000
χ20222222222-22-22-22-2-2-2000000-2-222-2-222000000-2-20000020000000000000
χ2122222222-22-22-22-22-2-2222222000000000000-2-2000000-20-2200000000000
χ2222222222-22-22-22-22-2-22222-2-2000000000000-2-2000000202-200000000000
χ2322222222-22-22-22-22-2-2-2-2-2-2220000000000002200000020-2-200000000000
χ2422222222-22-22-22-22-2-2-2-2-2-2-2-200000000000022000000-202200000000000
χ25222-22-2-2-2-20-2020200022−2−200002i−2i2i−2i00i2i2−i2−i22−22-222−2−200000000i2−i200000
χ26222-22-2-2-2-20-2020200022−2−200002i−2i−2i2i00i2i2−i2−i22−2-22−2−22200000000−i2i200000
χ27222-22-2-2-2-20-2020200022−2−20000−2i2i2i−2i00−i2−i2i2i22−2-22−2−22200000000i2−i200000
χ28222-22-2-2-2-20-2020200022−2−20000−2i2i−2i2i00−i2−i2i2i22−22-222−2−200000000−i2i200000
χ29222-22-2-2-2-20-20202000−2−22200002i−2i2i−2i00−i2−i2i2i2−222-2−2−22200000000−i2i200000
χ30222-22-2-2-2-20-20202000−2−22200002i−2i−2i2i00−i2−i2i2i2−22-2222−2−200000000i2−i200000
χ31222-22-2-2-2-20-20202000−2−2220000−2i2i2i−2i00i2i2−i2−i2−22-2222−2−200000000−i2i200000
χ32222-22-2-2-2-20-20202000−2−2220000−2i2i−2i2i00i2i2−i2−i2−222-2−2−22200000000i2−i200000
χ332-2-2-222-2222-2-222-2-22-2000000000000002-22-20000000000002i−2i00002i−2i000
χ342-2-2-222-2222-2-222-2-22-2000000000000002-22-2000000000000−2i2i0000−2i2i000
χ352-2-2-222-2222-2-222-2-22-200000000000000-22-220000000000002i−2i0000−2i2i000
χ362-2-2-222-2222-2-222-2-22-200000000000000-22-22000000000000−2i2i00002i−2i000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000
χ38444-44-4-4-44040-40-40002222−22−2200000000000000−2222000000000000000000000
χ39444-44-4-4-44040-40-4000−22−2222220000000000000022−22000000000000000000000
χ4044-44-4-4-44040-40-404004i−4i4i−4i0000000000000000000000000000000000000
χ4144-44-4-4-44040-40-40400−4i4i−4i4i0000000000000000000000000000000000000
χ4244-44-4-4-440-404040-40000000000000000000000002i2−2i22i2−2i2000000000000000
χ4344-44-4-4-440-404040-4000000000000000000000000−2i22i2−2i22i2000000000000000
χ4444-4-4-444-400000000002i2−2i2−2i22i20000000022−22000000002i−2i−2i2i000000000000000
χ4544-4-4-444-400000000002i2−2i2−2i22i200000000−222200000000−2i2i2i−2i000000000000000
χ4644-4-4-444-40000000000−2i22i22i2−2i20000000022−2200000000−2i2i2i−2i000000000000000
χ4744-4-4-444-40000000000−2i22i22i2−2i200000000−2222000000002i−2i−2i2i000000000000000
χ484-44-4-4-44404040-40-400000000000000000000000000000000002i2−2i20000000
χ494-44-4-4-44404040-40-40000000000000000000000000000000000−2i22i20000000
χ504-44-4-4-4440-40-404040000004-400000000000000000000000000000000000
χ514-44-4-4-4440-40-40404000000-4400000000000000000000000000000000000
χ524-4-444-44-440-40-4040000000004i−4i000000000000000000000000000000000
χ534-4-444-44-440-40-404000000000−4i4i000000000000000000000000000000000
χ544-4-444-44-4-404040-4000000000000000002i2−2i2−2i22i200000000000000000000000
χ554-4-444-44-4-404040-400000000000000000−2i22i22i2−2i200000000000000000000000
χ564-4-4-444-444-4-444-4-44-4400000000000000000000000000000000000000000
χ574-4-4-444-44-444-4-444-4-4400000000000000000000000000000000000000000
χ584-4-4-444-44-4-444-4-4444-400000000000000000000000000000000000000000
χ598-888-88-8-8000000000000000000000000000000000000000000000000000

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