Finite Group Databasebeta

← Group #4892

Character table — Group #4892

Order 192.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42
size1111222222444422224444448888333366666612121212
order12442488888888361212612242424242424242422442488888888
χ1111111111111111111111111111111111111111111
χ21111111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-1
χ3111111-1-1-1-111-1-1111111-1-1-1-111-1-1111111-1-1-1-111-1-1
χ4111111-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-111
χ511-1-1-1111-1-1i−ii−i11-1-1-1111-1-1i−ii−i11-1-1-1111-1-1i−ii−i
χ611-1-1-1111-1-1−ii−ii11-1-1-1111-1-1−ii−ii11-1-1-1111-1-1−ii−ii
χ711-1-1-11-1-111i−i−ii11-1-1-11-1-111i−i−ii11-1-1-11-1-111i−i−ii
χ811-1-1-11-1-111−iii−i11-1-1-11-1-111−iii−i11-1-1-11-1-111−iii−i
χ92222-2-2000000002222-2-2000000002222-2-200000000
χ1022-2-22-20000000022-2-22-20000000022-2-22-200000000
χ112-22i−2i00i2−i22−200002-22i−2i00i2−i22−200002-22i−2i00i2−i22−20000
χ122-22i−2i00−i2i2−2200002-22i−2i00−i2i2−2200002-22i−2i00−i2i2−220000
χ132-2−2i2i00i2−i2−2200002-2−2i2i00i2−i2−2200002-2−2i2i00i2−i2−220000
χ142-2−2i2i00−i2i22−200002-2−2i2i00−i2i22−200002-2−2i2i00−i2i22−20000
χ151111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ161111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ17111111-1-1-1-111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111
χ18111111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1
χ1911-1-1-1111-1-1i−ii−i11-1-1-1111-1-1i−ii−i-1-1111-1-1-111−ii−ii
χ2011-1-1-1111-1-1−ii−ii11-1-1-1111-1-1−ii−ii-1-1111-1-1-111i−ii−i
χ2111-1-1-11-1-111i−i−ii11-1-1-11-1-111i−i−ii-1-1111-111-1-1−iii−i
χ2211-1-1-11-1-111−iii−i11-1-1-11-1-111−iii−i-1-1111-111-1-1i−i−ii
χ232222-2-2000000002222-2-200000000-2-2-2-22200000000
χ2422-2-22-20000000022-2-22-200000000-2-222-2200000000
χ252-22i−2i00i2−i22−200002-22i−2i00i2−i22−20000-22−2i2i00−i2i2−220000
χ262-22i−2i00−i2i2−2200002-22i−2i00−i2i2−220000-22−2i2i00i2−i22−20000
χ272-2−2i2i00i2−i2−2200002-2−2i2i00i2−i2−220000-222i−2i00−i2i22−20000
χ282-2−2i2i00−i2i22−200002-2−2i2i00−i2i22−20000-222i−2i00i2−i2−220000
χ2922222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000
χ302222222222-2-2-2-2-1-1-1-1-1-1-1-1-1-1111100000000000000
χ31222222-2-2-2-222-2-2-1-1-1-1-1-11111-1-11100000000000000
χ32222222-2-2-2-2-2-222-1-1-1-1-1-1111111-1-100000000000000
χ3322-2-2-2222-2-22i−2i2i−2i-1-1111-1-1-111−ii−ii00000000000000
χ3422-2-2-2222-2-2−2i2i−2i2i-1-1111-1-1-111i−ii−i00000000000000
χ3522-2-2-22-2-2222i−2i−2i2i-1-1111-111-1-1−iii−i00000000000000
χ3622-2-2-22-2-222−2i2i2i−2i-1-1111-111-1-1i−i−ii00000000000000
χ374444-4-400000000-2-2-2-2220000000000000000000000
χ3844-4-44-400000000-2-222-220000000000000000000000
χ394-44i−4i002i2−2i222−220000-22−2i2i00−i2i2−22000000000000000000
χ404-44i−4i00−2i22i2−22220000-22−2i2i00i2−i22−2000000000000000000
χ414-4−4i4i002i2−2i2−22220000-222i−2i00−i2i22−2000000000000000000
χ424-4−4i4i00−2i22i222−220000-222i−2i00i2−i2−22000000000000000000

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