Finite Group Databasebeta

← Group #278964

Character table — Group #278964

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size1111111122222222444444444444448888888888888888888888888888881616161632323232
order12222222444444444444448888888824444444448888888888888888888888882244
χ111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111-1-11-1-1-1-1-1-111-1-1-1-111-1-1-1-1111111111111-1-1-1-1
χ41111111111111111111111111111111-1-11-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-11-1
χ61111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-11
χ71111111111111111111111-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-1-1-11111-1-1111111111111-1-1-1-1-11-11
χ81111111111111111111111-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111111-11-1
χ91111111111111111-1-111-1-111111111-111-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1
χ101111111111111111-1-111-1-111111111-111-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111-1-111
χ111111111111111111-1-111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111
χ121111111111111111-1-111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1
χ131111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1111-1-11
χ141111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-1-1-1111111-1-1-1-1111111-1-1-111-1
χ151111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-11111-1-1-1-1-1-111-111-1
χ161111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1111111-1-11-1-11
χ17222222222-2-2222-2-222-2-2-2-22222-2-2-2-2200-2000000-2-200002200000000000000000000
χ18222222222-2-2222-2-222-2-2-2-2-2-2-2-22222200-2000000220000-2-200000000000000000000
χ19222222222-2-2222-2-2-2-2-2-2222222-2-2-2-2-2002000000220000-2-200000000000000000000
χ20222222222-2-2222-2-2-2-2-2-222-2-2-2-22222-2002000000-2-200002200000000000000000000
χ2122222222-222-2-2-22222-2-22200000000-222-222-2-2-2-20000000000000000000000000000
χ2222222222-222-2-2-22222-2-22200000000-2-2-2-2-2-222220000000000000000000000000000
χ2322222222-222-2-2-222-2-2-2-2-2-2000000002222-2-222-2-20000000000000000000000000000
χ2422222222-222-2-2-222-2-2-2-2-2-2000000002-2-2222-2-2220000000000000000000000000000
χ2522222222-2-2-2-2-2-2-2-22222-2-200000000-2002000000002i2i−2i−2i002i2i−2i−2i0000000000000000
χ2622222222-2-2-2-2-2-2-2-22222-2-200000000-200200000000−2i−2i2i2i00−2i−2i2i2i0000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2222200000000200-2000000002i2i−2i−2i00−2i−2i2i2i0000000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2222200000000200-200000000−2i−2i2i2i002i2i−2i−2i0000000000000000
χ29222-22-2-2-202-20002-22i−2i002i−2i22−2−222−2−20000002-22i−2ii2−i2i2−i2i2−i2i2−i22−22−20000000000000000
χ30222-22-2-2-202-20002-22i−2i002i−2i22−2−222−2−2000000-22−2i2ii2−i2−i2i2−i2i2i2−i2−22−220000000000000000
χ31222-22-2-2-202-20002-22i−2i002i−2i−2−222−2−2220000002-22i−2i−i2i2−i2i2−i2i2−i2i2−22−220000000000000000
χ32222-22-2-2-202-20002-22i−2i002i−2i−2−222−2−222000000-22−2i2i−i2i2i2−i2i2−i2−i2i22−22−20000000000000000
χ33222-22-2-2-202-20002-2−2i2i00−2i2i22−2−222−2−20000002-2−2i2i−i2i2−i2i2−i2i2−i2i22−22−20000000000000000
χ34222-22-2-2-202-20002-2−2i2i00−2i2i22−2−222−2−2000000-222i−2i−i2i2i2−i2i2−i2−i2i2−22−220000000000000000
χ35222-22-2-2-202-20002-2−2i2i00−2i2i−2−222−2−2220000002-2−2i2ii2−i2i2−i2i2−i2i2−i2−22−220000000000000000
χ36222-22-2-2-202-20002-2−2i2i00−2i2i−2−222−2−222000000-222i−2ii2−i2−i2i2−i2i2i2−i22−22−20000000000000000
χ37222-22-2-2-20-22000-222i−2i00−2i2i22−2−2−2−22202-202i−2i0000−i2i22−2−22i2−i2−i2i2i2−i20000000000000000
χ38222-22-2-2-20-22000-222i−2i00−2i2i22−2−2−2−2220-220−2i2i0000−i2i2−222−2i2−i2i2−i2−i2i20000000000000000
χ39222-22-2-2-20-22000-222i−2i00−2i2i−2−22222−2−202-202i−2i0000i2−i2−222−2−i2i2i2−i2−i2i20000000000000000
χ40222-22-2-2-20-22000-222i−2i00−2i2i−2−22222−2−20-220−2i2i0000i2−i22−2−22−i2i2−i2i2i2−i20000000000000000
χ41222-22-2-2-20-22000-22−2i2i002i−2i22−2−2−2−22202-20−2i2i0000i2−i22−2−22−i2i2i2−i2−i2i20000000000000000
χ42222-22-2-2-20-22000-22−2i2i002i−2i22−2−2−2−2220-2202i−2i0000i2−i2−222−2−i2i2−i2i2i2−i20000000000000000
χ43222-22-2-2-20-22000-22−2i2i002i−2i−2−22222−2−202-20−2i2i0000−i2i2−222−2i2−i2−i2i2i2−i20000000000000000
χ44222-22-2-2-20-22000-22−2i2i002i−2i−2−22222−2−20-2202i−2i0000−i2i22−2−22i2−i2i2−i2−i2i20000000000000000
χ452-2-2222-2-2-2222-22-2-2002-2002-22-22-22-200000000000000000000002i2i−2i−2i00002i−2i000000
χ462-2-2222-2-2-2222-22-2-2002-2002-22-22-22-20000000000000000000000−2i−2i2i2i0000−2i2i000000
χ472-2-2222-2-2-2222-22-2-2002-200-22-22-22-2200000000000000000000002i2i−2i−2i0000−2i2i000000
χ482-2-2222-2-2-2222-22-2-2002-200-22-22-22-220000000000000000000000−2i−2i2i2i00002i−2i000000
χ492-2-2222-2-2-2-2-22-222200-22002-22-2-22-220000000000000000000000000022-2-2002-20000
χ502-2-2222-2-2-2-2-22-222200-22002-22-2-22-2200000000000000000000000000-2-22200-220000
χ512-2-2222-2-2-2-2-22-222200-2200-22-222-22-20000000000000000000000000022-2-200-220000
χ522-2-2222-2-2-2-2-22-222200-2200-22-222-22-200000000000000000000000000-2-222002-20000
χ5344-44-4-44-4400-4-44000000000000000000000000000000000000002i2−2i22i2−2i2000000000000
χ5444-44-4-44-4400-4-4400000000000000000000000000000000000000−2i22i2−2i22i2000000000000
χ5544-44-4-44-4-40044-40000000000000000000000000000000000000000002i2−2i22i2−2i200000000
χ5644-44-4-44-4-40044-4000000000000000000000000000000000000000000−2i22i2−2i22i200000000
χ574-444-4-4-444004-4-40000000000000000000000000000000000000000002i2−2i2−2i22i200000000
χ584-444-4-4-444004-4-4000000000000000000000000000000000000000000−2i22i22i2−2i200000000
χ594-444-4-4-44-400-4440000000000000000000000000000000000000022−22−2222000000000000
χ604-444-4-4-44-400-44400000000000000000000000000000000000000−222222−22000000000000
χ614-4-4444-4-4444-44-4-4-400-44000000000000000000000000000000000000000000000000
χ624-4-4444-4-44-4-4-44-444004-4000000000000000000000000000000000000000000000000
χ634-4-4-44-44404-4000-4400000022−22−222222−22−222200000000000000000000000000000000000000
χ644-4-4-44-44404-4000-44000000−222222−22−222222−2200000000000000000000000000000000000000
χ654-4-4-44-4440-440004-400000022−22−2222−222222−2200000000000000000000000000000000000000
χ664-4-4-44-4440-440004-4000000−222222−2222−22−222200000000000000000000000000000000000000
χ6788-8-8-88-88000000000000000000000000000000000000000000000000000000000000
χ688-88-8-888-8000000000000000000000000000000000000000000000000000000000000

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