Finite Group Databasebeta

← Group #73147

Character table — Group #73147

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38
size1111223333446688881212121212121212121216161616161624242424
order12224422224444366644888888881212121212124444
χ111111111111111111111111111111111111111
χ211111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1
χ31111111111-1-1111111-1-11111111111-1-1-1-1-1-1-1-1
χ41111111111-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ51-11-11-111-1-11-11-11-1-111-1ii−i−iii−i−i1-111-1-1i−ii−i
χ61-11-11-111-1-11-11-11-1-111-1−i−iii−i−iii1-111-1-1−ii−ii
χ71-11-11-111-1-1-111-11-1-11-11ii−i−iii−i−i1-1-1-111−ii−ii
χ81-11-11-111-1-1-111-11-1-11-11−i−iii−i−iii1-1-1-111i−ii−i
χ922222222222222-1-1-1-12200000000-1-1-1-1-1-10000
χ102222222222-2-222-1-1-1-1-2-200000000-1-111110000
χ112222-2-2222200-2-222220000000000-2-200000000
χ122222-2-2222200-2-2-1-1-1-1000000000011−i3i3−i3i30000
χ132222-2-2222200-2-2-1-1-1-1000000000011i3−i3i3−i30000
χ1422-2-2002-22-2000022-2-2002−22−22−22−20000000000
χ1522-2-2002-22-2000022-2-200−22−22−22−220000000000
χ162-22-22-222-2-22-22-2-111-12-200000000-11-1-1110000
χ172-22-22-222-2-2-222-2-111-1-2200000000-1111-1-10000
χ182-22-2-2222-2-200-222-2-220000000000-2200000000
χ192-22-2-2222-2-200-22-111-100000000001-1−i3i3i3−i30000
χ202-22-2-2222-2-200-22-111-100000000001-1i3−i3−i3i30000
χ212-2-22002-2-2200002-22-200−i2i2i2−i2−i2i2i2−i20000000000
χ222-2-22002-2-2200002-22-200i2−i2−i2i2i2−i2−i2i20000000000
χ23333333-1-1-1-133-1-10000-1-11111-1-1-1-100000011-1-1
χ24333333-1-1-1-133-1-10000-1-1-1-1-1-11111000000-1-111
χ25333333-1-1-1-1-3-3-1-10000111111-1-1-1-1000000-1-111
χ26333333-1-1-1-1-3-3-1-1000011-1-1-1-1111100000011-1-1
χ273-33-33-3-1-1113-3-110000-11ii−i−i−i−iii000000i−i−ii
χ283-33-33-3-1-1113-3-110000-11−i−iiiii−i−i000000−iii−i
χ293-33-33-3-1-111-33-1100001-1ii−i−i−i−iii000000−iii−i
χ303-33-33-3-1-111-33-1100001-1−i−iiiii−i−i000000i−i−ii
χ3144-4-4004-44-40000-2-22200000000000000000000
χ324-4-44004-4-440000-22-2200000000000000000000
χ336666-6-6-2-2-2-20022000000000000000000000000
χ3466-6-600-22-2200000000002−22−2−22−220000000000
χ3566-6-600-22-220000000000−22−222−22−20000000000
χ366-66-6-66-2-222002-2000000000000000000000000
χ376-6-6600-222-20000000000−i2i2i2−i2i2−i2−i2i20000000000
χ386-6-6600-222-20000000000i2−i2−i2i2−i2i2i2−i20000000000

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