Finite Group Databasebeta

← Group #341978

Character table — Group #341978

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444448888888888888888888888161616161616161616161616323232
order12222222444444444488884444444488888888888888444444888888444
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-111-1-11111-1-1-1-1-1-11-1-111-1-1-1-1-1-1-111-1
χ3111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11
χ4111111111111111111111111-1-1-1-1-1-11111-1-1-1-11111111-1-111-111-1-111-1-1-1
χ51111111111111111111111-1-111111111111111111111-1-1-1-1-11-1-111-1-1-1-1-1
χ61111111111111111111111-1-11111-1-111-1-11111-1-1-1-1-1-1-111-1-1-111-1-111-1-11
χ71111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1
χ81111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-111-1-1-1-1-1-1-1-1-1111
χ9111111111111111111-1-1-1-111111111-1-111-1-1-1-111-1-1-1-1-1111-11-1-1-1-111-11-1
χ10111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11-1-11111-1-1-111
χ11111111111111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-11111-1111-1111-1-1-1-11-1-1
χ12111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-11-1-1-1-111111-11
χ13111111111111111111-1-1-1-1-1-1111111-1-111-1-1-1-111-1-1-1-11-1-1-11111-1-1-1-11-11
χ14111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111-11-1-1-111111-1-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111111-1-1-111-1-1-1-111-111
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111-11-11111-1-1-11-1
χ17222222222-22-22-22-2-2-200000022-2-22200220000-2-2000000000-2000000000
χ18222222222-22-22-22-2-2-200000022-2-2-2-200-2-20000220000000002000000000
χ19222222222-22-22-22-2-2-2000000-2-2222200-2-2000022000000000-2000000000
χ20222222222-22-22-22-2-2-2000000-2-222-2-200220000-2-20000000002000000000
χ2122222222-22-22-22-22-2-2222222000000-2-2000000000000-200-220000000000
χ2222222222-22-22-22-22-2-22222-2-2000000-2-20000000000002002-20000000000
χ2322222222-22-22-22-22-2-2-2-2-2-22200000022000000000000200-2-20000000000
χ2422222222-22-22-22-22-2-2-2-2-2-2-2-200000022000000000000-200220000000000
χ25222-22-2-2-222-2-222-2-22-2000000000000000022-2-200000002-20002-20000000
χ26222-22-2-2-222-2-222-2-22-2000000000000000022-2-20000000-22000-220000000
χ27222-22-2-2-222-2-222-2-22-20000000000000000-2-22200000002-2000-220000000
χ28222-22-2-2-222-2-222-2-22-20000000000000000-2-2220000000-220002-20000000
χ2922-2-2-222-220-20-202000i2i2−i2−i200002i−2i2i−2ii2−i2002−22−22-2i2i2−i2−i2000000002−200000
χ3022-2-2-222-220-20-202000i2i2−i2−i200002i−2i−2i2ii2−i2002−22−2-22−i2−i2i2i200000000−2200000
χ3122-2-2-222-220-20-202000i2i2−i2−i20000−2i2i2i−2ii2−i200−22−22-22−i2−i2i2i2000000002−200000
χ3222-2-2-222-220-20-202000i2i2−i2−i20000−2i2i−2i2ii2−i200−22−222-2i2i2−i2−i200000000−2200000
χ3322-2-2-222-220-20-202000−i2−i2i2i200002i−2i2i−2i−i2i200−22−222-2−i2−i2i2i200000000−2200000
χ3422-2-2-222-220-20-202000−i2−i2i2i200002i−2i−2i2i−i2i200−22−22-22i2i2−i2−i2000000002−200000
χ3522-2-2-222-220-20-202000−i2−i2i2i20000−2i2i2i−2i−i2i2002−22−2-22i2i2−i2−i200000000−2200000
χ3622-2-2-222-220-20-202000−i2−i2i2i20000−2i2i−2i2i−i2i2002−22−22-2−i2−i2i2i2000000002−200000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000
χ38444-44-4-4-44-4-444-4-44-4400000000000000000000000000000000000000000
χ39444-44-4-4-4-444-4-444-4-4400000000000000000000000000000000000000000
χ40444-44-4-4-4-4-444-4-4444-400000000000000000000000000000000000000000
χ4144-44-4-4-444040-40-4000000000000000000022−22−2222000000000000000000000
χ4244-44-4-4-444040-40-40000000000000000000−222222−22000000000000000000000
χ4344-44-4-4-44-40-404040000000004i−4i000000000000000000000000000000000
χ4444-44-4-4-44-40-40404000000000−4i4i000000000000000000000000000000000
χ4544-4-4-444-4-404040-40002i22i2−2i2−2i200000000−2i22i2000000000000000000000000000
χ4644-4-4-444-4-404040-4000−2i2−2i22i22i2000000002i2−2i2000000000000000000000000000
χ474-444-44-4-4040-40-4040000000000000000000000000000000000000022−22000
χ484-444-44-4-4040-40-40400000000000000000000000000000000000000−2222000
χ494-444-44-4-40-404040-40000004-400000000000000000000000000000000000
χ504-444-44-4-40-404040-4000000-4400000000000000000000000000000000000
χ514-44-4-4-44404040-40-4004i−4i4i−4i0000000000000000000000000000000000000
χ524-44-4-4-44404040-40-400−4i4i−4i4i0000000000000000000000000000000000000
χ534-44-4-4-4440-40-4040400000000000000000000000022−2222−22000000000000000
χ544-44-4-4-4440-40-40404000000000000000000000000−2222−2222000000000000000
χ554-4-444-44-4000000000022−22−222200000000002i2−2i20000002i−2i−2i2i000000000000000
χ564-4-444-44-4000000000022−22−22220000000000−2i22i2000000−2i2i2i−2i000000000000000
χ574-4-444-44-40000000000−222222−2200000000002i2−2i2000000−2i2i2i−2i000000000000000
χ584-4-444-44-40000000000−222222−220000000000−2i22i20000002i−2i−2i2i000000000000000
χ598-8-8-888-88000000000000000000000000000000000000000000000000000

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