Finite Group Databasebeta

← Group #333789

Character table — Group #333789

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444488888888888888888888888888881616161616161616323232
order12222222444444444488888888444444444444888888888888888824448888224
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-11111-1-111111111-1-1-1-111111-1-1-111-1-1-1-1-1
χ311111111111111111111111111-1-11111-1-1-1-11111-1-1-1-11111111111-1-1-11-1-111-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-111-1-1-1-1-1111
χ51111111111111111111111-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1
χ61111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-1-111-1-1-111-1-11
χ71111111111111111111111-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11-1-1-1111111-1
χ9111111111111111111-1-1-1-111111111-1-1111111-1-1-1-1-1-1111111-1-1-1-11-1-1-1-1-1-1-11-11
χ10111111111111111111-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-11-1
χ11111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-111-1-11111111111-1-1-1-1-111-111-1-1-11-1
χ12111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1111111-11
χ13111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-111-111111-1-1
χ14111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1111-1-1-111
χ15111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1-1-111111-1-1-1-1-111-111
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1111111111111-1-1-1-11-1-1
χ172222222222-2-22-2-22-2-200002222220000-2-22200000000-2-200000000-20000000000
χ182222222222-2-22-2-22-2-200002222-2-2000022-2-200000000-2-20000000020000000000
χ192222222222-2-22-2-22-2-20000-2-2-2-2220000-2-2-2-200000000220000000020000000000
χ202222222222-2-22-2-22-2-20000-2-2-2-2-2-200002222000000002200000000-20000000000
χ2122222222-2-222-222-2-2-2222200000022220000-2-2-2-200000000000000000-20000000
χ2222222222-2-222-222-2-2-22222000000-2-2-2-2000022-2-20000000000000000020000000
χ2322222222-2-222-222-2-2-2-2-2-2-200000022-2-20000-2-2220000000000000000020000000
χ2422222222-2-222-222-2-2-2-2-2-2-2000000-2-2220000222200000000000000000-20000000
χ25222-2-2-2-22002-202-200022-2-2i2i2−i2−i2002i−2i2i−2i000000000000i2−i222−2−2i2i2−i2−i20000002−2000
χ26222-2-2-2-22002-202-200022-2-2i2i2−i2−i200−2i2i−2i2i000000000000i2−i2−2−222i2i2−i2−i2000000−22000
χ27222-2-2-2-22002-202-200022-2-2−i2−i2i2i2002i−2i2i−2i000000000000−i2i2−2−222−i2−i2i2i2000000−22000
χ28222-2-2-2-22002-202-200022-2-2−i2−i2i2i200−2i2i−2i2i000000000000−i2i222−2−2−i2−i2i2i20000002−2000
χ29222-2-2-2-22002-202-2000-2-222i2i2−i2−i2002i−2i−2i2i000000000000i2−i222−2−2−i2−i2i2i2000000−22000
χ30222-2-2-2-22002-202-2000-2-222i2i2−i2−i200−2i2i2i−2i000000000000i2−i2−2−222−i2−i2i2i20000002−2000
χ31222-2-2-2-22002-202-2000-2-222−i2−i2i2i2002i−2i−2i2i000000000000−i2i2−2−222i2i2−i2−i20000002−2000
χ32222-2-2-2-22002-202-2000-2-222−i2−i2i2i200−2i2i2i−2i000000000000−i2i222−2−2i2i2−i2−i2000000−22000
χ3322-2-22-22-22200-200-2002−22−22-22-22i−2i0000002i−2i002−2i2i2−i2−i20000002−22−20000i2−i200000
χ3422-2-22-22-22200-200-2002−22−22-22-2−2i2i000000−2i2i002−2−i2−i2i2i20000002−22−20000−i2i200000
χ3522-2-22-22-22200-200-2002−22−2-22-222i−2i000000−2i2i002−2i2i2−i2−i2000000−22−220000−i2i200000
χ3622-2-22-22-22200-200-2002−22−2-22-22−2i2i0000002i−2i002−2−i2−i2i2i2000000−22−220000i2−i200000
χ3722-2-22-22-22200-200-200−22−222-22-22i−2i0000002i−2i00−22−i2−i2i2i2000000−22−220000−i2i200000
χ3822-2-22-22-22200-200-200−22−222-22-2−2i2i000000−2i2i00−22i2i2−i2−i2000000−22−220000i2−i200000
χ3922-2-22-22-22200-200-200−22−22-22-222i−2i000000−2i2i00−22−i2−i2i2i20000002−22−20000i2−i200000
χ4022-2-22-22-22200-200-200−22−22-22-22−2i2i0000002i−2i00−22i2i2−i2−i20000002−22−20000−i2i200000
χ412-2-2-222-22-22-2-2-2222-2200000000000000000000002-22-2002-22-2000002-200000000
χ422-2-2-222-22-22-2-2-2222-2200000000000000000000002-22-200-22-2200000-2200000000
χ432-2-2-222-22-22-2-2-2222-220000000000000000000000-22-22002-22-200000-2200000000
χ442-2-2-222-22-22-2-2-2222-220000000000000000000000-22-2200-22-22000002-200000000
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000000
χ46444-4-4-4-4400-440-4400000002i22i2−2i2−2i2000000000000000000−2i22i20000000000000000000
χ47444-4-4-4-4400-440-440000000−2i2−2i22i22i20000000000000000002i2−2i20000000000000000000
χ4844-44-44-4-4000000000022−22−22222i2−2i2−2i22i20000000000000000000000002i−2i−2i2i00000000000
χ4944-44-44-4-4000000000022−22−2222−2i22i22i2−2i2000000000000000000000000−2i2i2i−2i00000000000
χ5044-44-44-4-40000000000−222222−222i2−2i2−2i22i2000000000000000000000000−2i2i2i−2i00000000000
χ5144-44-44-4-40000000000−222222−22−2i22i22i2−2i20000000000000000000000002i−2i−2i2i00000000000
χ5244-4-44-44-4-4-40040040022−2222−220000000000000000−22220000000000000000000000000
χ5344-4-44-44-4-4-400400400−2222−2222000000000000000022−220000000000000000000000000
χ544-4444-4-4-44-400-400400000000000000004i−4i0000000000000000000000000000000
χ554-4444-4-4-44-400-40040000000000000000−4i4i0000000000000000000000000000000
χ564-4444-4-4-4-4400400-40000000000000000000000002i2−2i2−2i22i2000000000000000000000
χ574-4444-4-4-4-4400400-4000000000000000000000000−2i22i22i2−2i2000000000000000000000
χ584-4-44-4-444004-40-440000000000000000000004-4000000000000000000000000000
χ594-4-44-4-444004-40-44000000000000000000000-44000000000000000000000000000
χ604-4-44-4-44400-4404-4000000000000000000000000000000022−22−2222000000000000000
χ614-4-44-4-44400-4404-40000000000000000000000000000000−222222−22000000000000000
χ624-4-4-444-444-4444-4-4-4-4400000000000000000000000000000000000000000000000
χ634-4-4-444-444-4-4-4444-44-400000000000000000000000000000000000000000000000
χ644-4-4-444-44-4444-4-4-444-400000000000000000000000000000000000000000000000
χ658-88-8-888-8000000000000000000000000000000000000000000000000000000000

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