Finite Group Databasebeta

← Group #4864

Character table — Group #4864

Order 192.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36
size11112222222222444444666666668888882424
order1222344666888812122424242422448888441212121224
χ1111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-1-1-1-1-1111111-1-1
χ411111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ51111111111-1-1-1-111-1-1-1-11111-1-1-1-11-111-1-11-1
χ61111111111-1-1-1-111-1-1-1-11111-1-1-1-1-11-1-111-11
χ71111111111-1-1-1-111-1-1-1-1-1-1-1-111111-111-1-1-11
χ81111111111-1-1-1-111-1-1-1-1-1-1-1-11111-11-1-1111-1
χ922222-2-22220000-2-2000022-2-2000000000000
χ1022222-2-22220000-2-20000-2-222000000000000
χ112222-122-1-1-12222-1-1-1-1-1-10000000022-1-1-1-100
χ122222-122-1-1-12222-1-1-1-1-1-100000000-2-2111100
χ132222-122-1-1-1-2-2-2-2-1-11111000000002-2-1-11100
χ142222-122-1-1-1-2-2-2-2-1-1111100000000-2211-1-100
χ1522-2-2200-22-2−i2−i2i2i200−i2−i2i2i2002i−2i22−2−200000000
χ1622-2-2200-22-2−i2−i2i2i200−i2−i2i2i200−2i2i−2−22200000000
χ1722-2-2200-22-2i2i2−i2−i200i2i2−i2−i2002i−2i−2−22200000000
χ1822-2-2200-22-2i2i2−i2−i200i2i2−i2−i200−2i2i22−2−200000000
χ192-22-2200-2-22−i2i2−i2i200−i2i2−i2i22-200−i2i2−i2i200000000
χ202-22-2200-2-22−i2i2−i2i200−i2i2−i2i2-2200i2−i2i2−i200000000
χ212-22-2200-2-22i2−i2i2−i200i2−i2i2−i22-200i2−i2i2−i200000000
χ222-22-2200-2-22i2−i2i2−i200i2−i2i2−i2-2200−i2i2−i2i200000000
χ232-2-2222-22-2-200002-2000000002i−2i−2i2i00000000
χ242-2-2222-22-2-200002-200000000−2i2i2i−2i00000000
χ252-2-222-222-2-22-2-22-222-2-220000000000000000
χ262-2-222-222-2-2-222-2-22-222-20000000000000000
χ272-2-22-1-22-1112-2-221-1-111-100000000003−33−300
χ282-2-22-1-22-1112-2-221-1-111-10000000000−33−3300
χ292-2-22-1-22-111-222-21-11-1-1100000000003−3−3300
χ302-2-22-1-22-111-222-21-11-1-110000000000−333−300
χ314444-2-4-4-2-2-200002200000000000000000000
χ3244-4-4-2002-22−2i2−2i22i22i200i2i2−i2−i20000000000000000
χ3344-4-4-2002-222i22i2−2i2−2i200−i2−i2i2i20000000000000000
χ344-44-4-20022-2−2i22i2−2i22i200i2−i2i2−i20000000000000000
χ354-44-4-20022-22i2−2i22i2−2i200−i2i2−i2i20000000000000000
χ364-4-44-24-4-2220000-2200000000000000000000

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