Finite Group Databasebeta

← Group #339296

Character table — Group #339296

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444448888888888888888888888161616161616161616161616323232
order12222222444444444488884444444488888888888888444444888888444
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-111-1-1-1-11111-1-1-1-111-1-1-11-1-1-1-1-1-1-111
χ3111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-1-1
χ4111111111111111111111111-1-1-1-1-1-1111111-1-1-1-1111111-1-1-11-1-11111-1-1-1
χ51111111111111111111111-1-111111111111111111111-1-11-1-1-111-1-1-1-1-1-1-1
χ61111111111111111111111-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-111-1-1-111111-1-1
χ71111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1111111-111
χ81111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-111-1-1-1-1-1-1-1111
χ9111111111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-11111-1-1-111-1-1-11-1
χ10111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-1-1-111-1-11111-1
χ11111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-111111111-11111-1-1-1-1-111-1-11
χ12111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-11-1-1-1-11111-1-11-11
χ13111111111111111111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11-11-1-11-1-1-1-1111-11
χ14111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111111-1-1-1-11
χ15111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111111-11-1-11-1-111-1-111-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-1-111111-1-111-11-1
χ17222222222-222-2-2-22-2-200000022-2-2220022-2-20000000000-2000000000000
χ18222222222-222-2-2-22-2-200000022-2-2-2-200-2-22200000000002000000000000
χ19222222222-222-2-2-22-2-2000000-2-2222200-2-2220000000000-2000000000000
χ20222222222-222-2-2-22-2-2000000-2-222-2-20022-2-200000000002000000000000
χ2122222222-22-2-2222-2-2-2222222000000-2-20000000000002-2000-2000000000
χ2222222222-22-2-2222-2-2-22222-2-2000000-2-2000000000000-220002000000000
χ2322222222-22-2-2222-2-2-2-2-2-2-22200000022000000000000-2-20002000000000
χ2422222222-22-2-2222-2-2-2-2-2-2-2-2-20000002200000000000022000-2000000000
χ2522-22-22-2-22-2-2-22-222-220000000000000000002i2i−2i−2i00000002i−2i000002-2000
χ2622-22-22-2-22-2-2-22-222-220000000000000000002i2i−2i−2i0000000−2i2i00000-22000
χ2722-22-22-2-22-2-2-22-222-22000000000000000000−2i−2i2i2i00000002i−2i00000-22000
χ2822-22-22-2-22-2-2-22-222-22000000000000000000−2i−2i2i2i0000000−2i2i000002-2000
χ2922-2-22-22-2-202-200020022−2−2002-2002i−2i2−22i−2i002−22−2i2i2−i2−i2000000i2−i20000000
χ3022-2-22-22-2-202-200020022−2−2002-200−2i2i2−2−2i2i002−22−2−i2−i2i2i2000000−i2i20000000
χ3122-2-22-22-2-202-200020022−2−200-22002i−2i2−2−2i2i00−22−22−i2−i2i2i2000000i2−i20000000
χ3222-2-22-22-2-202-200020022−2−200-2200−2i2i2−22i−2i00−22−22i2i2−i2−i2000000−i2i20000000
χ3322-2-22-22-2-202-2000200−2−222002-2002i−2i−222i−2i00−22−22−i2−i2i2i2000000−i2i20000000
χ3422-2-22-22-2-202-2000200−2−222002-200−2i2i−22−2i2i00−22−22i2i2−i2−i2000000i2−i20000000
χ3522-2-22-22-2-202-2000200−2−22200-22002i−2i−22−2i2i002−22−2i2i2−i2−i2000000−i2i20000000
χ3622-2-22-22-2-202-2000200−2−22200-2200−2i2i−222i−2i002−22−2−i2−i2i2i2000000i2−i20000000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000
χ38444-4-4-4-44404-4000-400000000004-40000000000000000000000000000000
χ39444-4-4-4-44404-4000-40000000000-440000000000000000000000000000000
χ40444-4-4-4-44-40-440004000000000000000000002i2−2i2−2i22i20000000000000000000
χ41444-4-4-4-44-40-44000400000000000000000000−2i22i22i2−2i20000000000000000000
χ4244-44-44-4-444-4-4-44-444-400000000000000000000000000000000000000000
χ4344-44-44-4-4-4444-44-4-4-4400000000000000000000000000000000000000000
χ4444-44-44-4-4-4-4444-44-44-400000000000000000000000000000000000000000
χ4544-4-44-44-440-44000-4002222−22−2200000000−2222000000000000000000000000000
χ4644-4-44-44-440-44000-400−22−2222220000000022−22000000000000000000000000000
χ474-4444-4-4-40400-4-4400000004-400000000000000000000000000000000000
χ484-4444-4-4-40400-4-440000000-4400000000000000000000000000000000000
χ494-4444-4-4-40-40044-4000000000000000000000000000000000000022−2200000
χ504-4444-4-4-40-40044-40000000000000000000000000000000000000−222200000
χ514-44-4-444-400000000002i2−2i22i2−2i200000000000022−2200002i−2i2i−2i000000000000000
χ524-44-4-444-400000000002i2−2i22i2−2i2000000000000−22220000−2i2i−2i2i000000000000000
χ534-44-4-444-40000000000−2i22i2−2i22i200000000000022−220000−2i2i−2i2i000000000000000
χ544-44-4-444-40000000000−2i22i2−2i22i2000000000000−222200002i−2i2i−2i000000000000000
χ554-4-44-4-44404004-4-40004i−4i−4i4i0000000000000000000000000000000000000
χ564-4-44-4-44404004-4-4000−4i4i4i−4i0000000000000000000000000000000000000
χ574-4-44-4-4440-400-444000000000000000000000000022−22−2222000000000000000
χ584-4-44-4-4440-400-4440000000000000000000000000−222222−22000000000000000
χ598-8-8-888-88000000000000000000000000000000000000000000000000000

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