Finite Group Databasebeta

← Group #4792

Character table — Group #4792

Order 192.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36
size11112222222222444444666666668888882424
order1222344666888812122424242444448888441212121244
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
χ51111111111-1-1-1-111-1-1-1-11111-1-1-1-11-1-1-1111-1
χ61111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1111-1-1-11
χ71111111111-1-1-1-111-1-1-1-1-1-1-1-111111-1-1-111-11
χ81111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1111-1-11-1
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
χ132222-122-1-1-1-2-2-2-2-1-11111000000002-211-1-100
χ142222-122-1-1-1-2-2-2-2-1-1111100000000-22-1-11100
χ1522-2-22002-2-222−2−20022−2−22-20022−2−200000000
χ1622-2-22002-2-222−2−20022−2−2-2200−2−22200000000
χ1722-2-22002-2-2−2−22200−2−2222-200−2−22200000000
χ1822-2-22002-2-2−2−22200−2−222-220022−2−200000000
χ192-22-222-2-2-220000-22000000002i−2i2i−2i00000000
χ202-22-222-2-2-220000-2200000000−2i2i−2i2i00000000
χ212-22-22-22-2-222i−2i2i−2i2-22i−2i2i−2i0000000000000000
χ222-22-22-22-2-22−2i2i−2i2i2-2−2i2i−2i2i0000000000000000
χ232-22-2-1-2211-12i−2i2i−2i-11−ii−ii00000000003−3−i3i300
χ242-22-2-1-2211-12i−2i2i−2i-11−ii−ii0000000000−33i3−i300
χ252-22-2-1-2211-1−2i2i−2i2i-11i−ii−i00000000003−3i3−i300
χ262-22-2-1-2211-1−2i2i−2i2i-11i−ii−i0000000000−33−i3i300
χ272-2-22200-22-2−i2i2i2−i200−i2i2i2−i2002-2−i2i2i2−i200000000
χ282-2-22200-22-2−i2i2i2−i200−i2i2i2−i200-22i2−i2−i2i200000000
χ292-2-22200-22-2i2−i2−i2i200i2−i2−i2i2002-2i2−i2−i2i200000000
χ302-2-22200-22-2i2−i2−i2i200i2−i2−i2i200-22−i2i2i2−i200000000
χ314444-2-4-4-2-2-200002200000000000000000000
χ3244-4-4-200-2222222−22−2200−2−2220000000000000000
χ3344-4-4-200-222−22−2222220022−2−20000000000000000
χ344-44-4-24-422-200002-200000000000000000000
χ354-4-44-2002-22−2i22i22i2−2i200i2−i2−i2i20000000000000000
χ364-4-44-2002-222i2−2i2−2i22i200−i2i2i2−i20000000000000000

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