Finite Group Databasebeta

← Group #336100

Character table — Group #336100

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444448888888888888888888888161616161616161616161616323232
order12222222444444444488884444444488888888888888444444888888444
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-111-1-11-1-1-1-1-1-1-11-11
χ3111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-11-1
χ4111111111111111111111111-1-1-1-1-1-11111-1-1-1-111111111-1-11-1-1-11111-1-1-1
χ51111111111111111111111-1-111111111111111111111-1-1-1-1-1111-1-1-1-1-1-1-1
χ61111111111111111111111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-11111-11-1
χ71111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11
χ81111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1111
χ9111111111111111111-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-1111-11-1-111-1-1-1-11
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
χ11111111111111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-11111-1111-11-1-1-1-1111-1-1
χ12111111111111111111-1-1-1-111-1-1-1-1-1-111-1-1111111-1-1-1-1-11-1-1-1-11111-1-111-1
χ13111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-11-1-1-111-1-1-1-11111-1
χ14111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-1111-11111-1-11-1-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111111-1-1-111-1-111-1-1-111
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11-1111-111-1-111-1-11
χ17222222222-2-22-222-2-2-222222200000000-2-200000000002-200-20000000000
χ18222222222-2-22-222-2-2-22222-2-200000000-2-20000000000-220020000000000
χ19222222222-2-22-222-2-2-2-2-2-2-22200000000220000000000-2-20020000000000
χ20222222222-2-22-222-2-2-2-2-2-2-2-2-2000000002200000000002200-20000000000
χ2122222222-222-22-2-22-2-200000022-2-22222000000-2-2000000000-2000000000
χ2222222222-222-22-2-22-2-200000022-2-2-2-2-2-2000000220000000002000000000
χ2322222222-222-22-2-22-2-2000000-2-22222-2-200000022000000000-2000000000
χ2422222222-222-22-2-22-2-2000000-2-222-2-222000000-2-20000000002000000000
χ2522-22-2-2-2202-20-20020022−2−2002i−2i002-22i−2i2−2i2i2−i2−i200i2i2−i2−i20000002−20000000
χ2622-22-2-2-2202-20-20020022−2−2002i−2i00-22−2i2i2−2i2i2−i2−i200−i2−i2i2i2000000−220000000
χ2722-22-2-2-2202-20-20020022−2−200−2i2i002-2−2i2i2−2−i2−i2i2i200−i2−i2i2i20000002−20000000
χ2822-22-2-2-2202-20-20020022−2−200−2i2i00-222i−2i2−2−i2−i2i2i200i2i2−i2−i2000000−220000000
χ2922-22-2-2-2202-20-200200−2−222002i−2i002-22i−2i−22−i2−i2i2i200−i2−i2i2i2000000−220000000
χ3022-22-2-2-2202-20-200200−2−222002i−2i00-22−2i2i−22−i2−i2i2i200i2i2−i2−i20000002−20000000
χ3122-22-2-2-2202-20-200200−2−22200−2i2i002-2−2i2i−22i2i2−i2−i200i2i2−i2−i2000000−220000000
χ3222-22-2-2-2202-20-200200−2−22200−2i2i00-222i−2i−22i2i2−i2−i200−i2−i2i2i20000002−20000000
χ332-22-2-2-222-2222-2-22-2-2200000000000000002-22-2000000002i−2i0000002i−2i000
χ342-22-2-2-222-2222-2-22-2-2200000000000000002-22-200000000−2i2i000000−2i2i000
χ352-22-2-2-222-2222-2-22-2-220000000000000000-22-22000000002i−2i000000−2i2i000
χ362-22-2-2-222-2222-2-22-2-220000000000000000-22-2200000000−2i2i0000002i−2i000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000
χ38444-44-4-4-4400-40-44000000000000000000000000000000000000022−2200000
χ39444-44-4-4-4400-40-440000000000000000000000000000000000000−222200000
χ40444-44-4-4-4-400404-400000004-400000000000000000000000000000000000
χ41444-44-4-4-4-400404-40000000-4400000000000000000000000000000000000
χ4244-44-4-4-440-440400-4002222−22−220000000000−22220000000000000000000000000
χ4344-44-4-4-440-440400-400−22−222222000000000022−220000000000000000000000000
χ444-444-44-4-440040-4-4000000000000000000000000022−2222−22000000000000000
χ454-444-44-4-440040-4-40000000000000000000000000−2222−2222000000000000000
χ464-444-44-4-4-400-40440004i−4i4i−4i0000000000000000000000000000000000000
χ474-444-44-4-4-400-4044000−4i4i−4i4i0000000000000000000000000000000000000
χ484-44-4-4-444444-4-44-4-44-400000000000000000000000000000000000000000
χ494-44-4-4-4444-4-4-444-44-4400000000000000000000000000000000000000000
χ504-44-4-4-444-4-4-444-4444-400000000000000000000000000000000000000000
χ514-4-444-44-400000000002i2−2i2−2i22i2000000000000000022−222i−2i−2i2i000000000000000
χ524-4-444-44-400000000002i2−2i2−2i22i20000000000000000−2222−2i2i2i−2i000000000000000
χ534-4-444-44-40000000000−2i22i22i2−2i2000000000000000022−22−2i2i2i−2i000000000000000
χ544-4-444-44-40000000000−2i22i22i2−2i20000000000000000−22222i−2i−2i2i000000000000000
χ554-4-4-444-4404-40400-40000000000000000002i2−2i2−2i22i2000000000000000000000
χ564-4-4-444-4404-40400-4000000000000000000−2i22i22i2−2i2000000000000000000000
χ574-4-4-444-440-440-400400000000004-40000000000000000000000000000000
χ584-4-4-444-440-440-40040000000000-440000000000000000000000000000000
χ5988-8-8-888-8000000000000000000000000000000000000000000000000000

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