Finite Group Databasebeta

← Group #278747

Character table — Group #278747

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444444888888888888888888888881616161616161616161616163232
order12222222444444444444444488884444488888888888888888822444488888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111-1-1
χ311111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-111
χ5111111111111111111111111-1-1-1-111111-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ6111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111
χ7111111111111111111111111-1-1-1-11-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111
χ8111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111111111-1-1
χ91111111111111111-1-111-1-1-1-11111-11111-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11-1
χ101111111111111111-1-111-1-1-1-11111-11111-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-111-1-1-11
χ111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-111-1-111-11
χ121111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111111-1
χ131111111111111111-1-111-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-11
χ141111111111111111-1-111-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-1-1-111-1-1-1-111-1-1111-1
χ151111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111111111-1-1-1-111-1-11-1
χ161111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1111111-1-1111111-1-1-1-1-11
χ172222222222-22-2-2-2222-2-2-2-2222222-200002200000000-2-2-2-2000000000000000000
χ182222222222-22-2-2-2222-2-2-2-222-2-2-2-2-20000-2-2000000002222000000000000000000
χ192222222222-22-2-2-22-2-2-2-222-2-2222220000-2-200000000-2-222000000000000000000
χ202222222222-22-2-2-22-2-2-2-222-2-2-2-2-2-220000220000000022-2-2000000000000000000
χ2122222222-2-22-2222-222-2-222-2-20000-222-2-2000000000000000000002-20000000000
χ2222222222-2-22-2222-222-2-222-2-20000-2-2-22200000000000000000000-220000000000
χ2322222222-2-22-2222-2-2-2-2-2-2-2220000222-2-200000000000000000000-220000000000
χ2422222222-2-22-2222-2-2-2-2-2-2-22200002-2-222000000000000000000002-20000000000
χ2522222222-2-2-2-2-2-2-2-22222-2-2-2-2000020000000000000000002i2i−2i−2i00000000002i−2i00
χ2622222222-2-2-2-2-2-2-2-22222-2-2-2-200002000000000000000000−2i−2i2i2i0000000000−2i2i00
χ2722222222-2-2-2-2-2-2-2-2-2-22222220000-20000000000000000002i2i−2i−2i0000000000−2i2i00
χ2822222222-2-2-2-2-2-2-2-2-2-22222220000-2000000000000000000−2i−2i2i2i00000000002i−2i00
χ29222-2-2-22-22-20-200022-200002-22i2i−2i−2i000002i−2ii2i2−i2−i2i2i2−i2−i2000000000000002−22−20000
χ30222-2-2-22-22-20-200022-200002-22i2i−2i−2i000002i−2i−i2−i2i2i2−i2−i2i2i200000000000000−22−220000
χ31222-2-2-22-22-20-200022-200002-2−2i−2i2i2i00000−2i2ii2i2−i2−i2i2i2−i2−i200000000000000−22−220000
χ32222-2-2-22-22-20-200022-200002-2−2i−2i2i2i00000−2i2i−i2−i2i2i2−i2−i2i2i2000000000000002−22−20000
χ33222-2-2-22-22-20-20002-220000-222i2i−2i−2i00000−2i2ii2i2−i2−i2−i2−i2i2i2000000000000002−2−220000
χ34222-2-2-22-22-20-20002-220000-222i2i−2i−2i00000−2i2i−i2−i2i2i2i2i2−i2−i200000000000000−222−20000
χ35222-2-2-22-22-20-20002-220000-22−2i−2i2i2i000002i−2ii2i2−i2−i2−i2−i2i2i200000000000000−222−20000
χ36222-2-2-22-22-20-20002-220000-22−2i−2i2i2i000002i−2i−i2−i2i2i2i2i2−i2−i2000000000000002−2−220000
χ3722-22-2-2-2222-2-22-22-2002-20000000002-22-2002i−2i2i−2i00000000000000002i−2i00000000
χ3822-22-2-2-2222-2-22-22-2002-20000000002-22-200−2i2i−2i2i0000000000000000−2i2i00000000
χ3922-22-2-2-2222-2-22-22-2002-2000000000-22-22002i−2i2i−2i0000000000000000−2i2i00000000
χ4022-22-2-2-2222-2-22-22-2002-2000000000-22-2200−2i2i−2i2i00000000000000002i−2i00000000
χ4122-22-2-2-22-2-2-222-22200-220000000002-2-220000002-22-2000000002-2000000000000
χ4222-22-2-2-22-2-2-222-22200-220000000002-2-22000000-22-2200000000-22000000000000
χ4322-22-2-2-22-2-2-222-22200-22000000000-222-20000002-22-200000000-22000000000000
χ4422-22-2-2-22-2-2-222-22200-22000000000-222-2000000-22-22000000002-2000000000000
χ45444-4-4-44-4-4404000-44-40000-4400000000000000000000000000000000000000000
χ46444-4-4-44-4-4404000-4-4400004-400000000000000000000000000000000000000000
χ4744-44-4-4-44444-4-44-4-400-44000000000000000000000000000000000000000000000
χ4844-44-4-4-44-4-444-44-44004-4000000000000000000000000000000000000000000000
χ4944-4-444-4-44-404000-4000000000000000000022−22−222200000000000000000000000000
χ5044-4-444-4-44-404000-40000000000000000000−222222−2200000000000000000000000000
χ5144-4-444-4-4-440-40004000000000000000000000002i2−2i2−2i22i20000000000000000000000
χ5244-4-444-4-4-440-4000400000000000000000000000−2i22i22i2−2i20000000000000000000000
χ534-44-44-4-4400404-4-4000000000000000000000000000000002i2−2i22i2−2i200000000000000
χ544-44-44-4-4400404-4-400000000000000000000000000000000−2i22i2−2i22i200000000000000
χ554-44-44-4-4400-40-4440000000000000000000000000000000022−22−222200000000000000
χ564-44-44-4-4400-40-44400000000000000000000000000000000−222222−2200000000000000
χ574-4-444-44-40000000000004-4002i2−2i22i2−2i2000000000000000002i2−2i2000000000000000000
χ584-4-444-44-40000000000004-400−2i22i2−2i22i200000000000000000−2i22i2000000000000000000
χ594-4-444-44-4000000000000-44002i2−2i22i2−2i200000000000000000−2i22i2000000000000000000
χ604-4-444-44-4000000000000-4400−2i22i2−2i22i2000000000000000002i2−2i2000000000000000000
χ614-4-4-4-44440040-4-4400000000022−22−222200000000000000022−2200000000000000000000
χ624-4-4-4-44440040-4-44000000000−222222−22000000000000000−222200000000000000000000
χ634-4-4-4-444400-4044-400000000022−22−2222000000000000000−222200000000000000000000
χ644-4-4-4-444400-4044-4000000000−222222−2200000000000000022−2200000000000000000000
χ658-888-88-8-8000000000000000000000000000000000000000000000000000000000

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