Finite Group Databasebeta

← Group #337262

Character table — Group #337262

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444448888888888888888888888161616161616161616161616323232
order12222222444444444488884444444488888888888888444444888888444
χ111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-11111111111111111-11-1-1-1-111-1-1-1-1-1-1-1
χ3111111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11-1-1-1-111111111-1
χ51111111111111111111111-1-1111111-1-1-1-1111111-1-1-1-11-111-1-1-1-1-1-1-1-111-1
χ61111111111111111111111-1-111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11111-1-11
χ71111111111111111111111-1-1-1-111-1-1111111-1-1-1-111111-111-1-1-1-11111-1-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1111
χ9111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-11-1-1
χ10111111111111111111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-111-111
χ11111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-111-11-1
χ12111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1111-1-1-1-111-1-11-11
χ13111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-111-1-1111-11
χ14111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-11-1
χ15111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-11-1-1-1-1-11111-1-1-111
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1111111-1-1111-1-1
χ172222222222-2-2-222-2-2-22222000022000000-2-200000000-20-2200000000000
χ182222222222-2-2-222-2-2-222220000-2-2000000-2-200000000202-200000000000
χ192222222222-2-2-222-2-2-2-2-2-2-20000220000002200000000-202-200000000000
χ202222222222-2-2-222-2-2-2-2-2-2-20000-2-2000000220000000020-2200000000000
χ2122222222-2-2222-2-22-2-20000222200-2-222-2-200000000000-20000000000000
χ2222222222-2-2222-2-22-2-2000022-2-20022-2-22200000000000-20000000000000
χ2322222222-2-2222-2-22-2-20000-2-22200-2-2-2-2220000000000020000000000000
χ2422222222-2-2222-2-22-2-20000-2-2-2-2002222-2-20000000000020000000000000
χ2522-22-2-22-200-22-20020022−2−22-22i−2i00002i−2i002−2i2i2−i2−i2i2i2−i2−i20000002−20000000
χ2622-22-2-22-200-22-20020022−2−22-2−2i2i0000−2i2i002−2−i2−i2i2i2−i2−i2i2i20000002−20000000
χ2722-22-2-22-200-22-20020022−2−2-222i−2i0000−2i2i002−2i2i2−i2−i2−i2−i2i2i2000000−220000000
χ2822-22-2-22-200-22-20020022−2−2-22−2i2i00002i−2i002−2−i2−i2i2i2i2i2−i2−i2000000−220000000
χ2922-22-2-22-200-22-200200−2−2222-22i−2i00002i−2i00−22−i2−i2i2i2−i2−i2i2i2000000−220000000
χ3022-22-2-22-200-22-200200−2−2222-2−2i2i0000−2i2i00−22i2i2−i2−i2i2i2−i2−i2000000−220000000
χ3122-22-2-22-200-22-200200−2−222-222i−2i0000−2i2i00−22−i2−i2i2i2i2i2−i2−i20000002−20000000
χ3222-22-2-22-200-22-200200−2−222-22−2i2i00002i−2i00−22i2i2−i2−i2−i2−i2i2i20000002−20000000
χ332-22-2-222-2-2-2-22222-22-20000000000000000002-22-2000000002i−2i00002i−2i000
χ342-22-2-222-2-2-2-22222-22-20000000000000000002-22-200000000−2i2i0000−2i2i000
χ352-22-2-222-2-2-2-22222-22-2000000000000000000-22-22000000002i−2i0000−2i2i000
χ362-22-2-222-2-2-2-22222-22-2000000000000000000-22-2200000000−2i2i00002i−2i000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000
χ38444-44-4-4-44-40004-4000000000000000000000000022−2222−22000000000000000
χ39444-44-4-4-44-40004-40000000000000000000000000−2222−2222000000000000000
χ40444-44-4-4-4-44000-440004-44-40000000000000000000000000000000000000
χ41444-44-4-4-4-44000-44000-44-440000000000000000000000000000000000000
χ4244-44-4-44-4004-4400-4002222−22−22000000000000−222200000000000000000000000
χ4344-44-4-44-4004-4400-400−22−22222200000000000022−2200000000000000000000000
χ4444-4-4-44-44000000000022−22−222200000000002i2−2i20000002i−2i−2i2i000000000000000
χ4544-4-4-44-44000000000022−22−22220000000000−2i22i2000000−2i2i2i−2i000000000000000
χ4644-4-4-44-440000000000−222222−2200000000002i2−2i2000000−2i2i2i−2i000000000000000
χ4744-4-4-44-440000000000−222222−220000000000−2i22i20000002i−2i−2i2i000000000000000
χ484-444-4-4-444-4000-4400000000000000000000000000000000000002i2−2i200000
χ494-444-4-4-444-4000-440000000000000000000000000000000000000−2i22i200000
χ504-444-4-4-44-440004-4000000000004i−4i0000000000000000000000000000000
χ514-444-4-4-44-440004-400000000000−4i4i0000000000000000000000000000000
χ524-44-4-444-4444-4-4-4-444-400000000000000000000000000000000000000000
χ534-44-4-444-444-444-4-4-4-4400000000000000000000000000000000000000000
χ544-44-4-444-4-4-44-4-4444-4400000000000000000000000000000000000000000
χ554-4-4-44-4440044-400-4000000000000000000002i2−2i2−2i22i20000000000000000000
χ564-4-4-44-4440044-400-400000000000000000000−2i22i22i2−2i20000000000000000000
χ574-4-4-44-44400-4-440040000000000004-400000000000000000000000000000
χ584-4-4-44-44400-4-44004000000000000-4400000000000000000000000000000
χ598-8-8888-8-8000000000000000000000000000000000000000000000000000

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