Finite Group Databasebeta

← Group #73052

Character table — Group #73052

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
χ51-1-111-11-1-11i−i1-11-11-1i−iii−i−iii−i−i1-1ii−i−i1-11-1
χ61-1-111-11-1-11i−i1-11-11-1i−i−i−iii−i−iii1-1ii−i−i-11-11
χ71-1-111-11-1-11−ii1-11-11-1−iiii−i−iii−i−i1-1−i−iii-11-11
χ81-1-111-11-1-11−ii1-11-11-1−ii−i−iii−i−iii1-1−i−iii1-11-1
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
χ1422-2-20022-2-2000022-2-2002−22−22−22−20000000000
χ1522-2-20022-2-2000022-2-200−22−22−22−220000000000
χ162-22-2002-22-200002-2-2200−i2i2i2−i2−i2i2i2−i20000000000
χ172-22-2002-22-200002-2-2200i2−i2−i2i2i2−i2−i2i20000000000
χ182-2-222-22-2-222i−2i2-2-11-112i−2i00000000-11−i−iii0000
χ192-2-222-22-2-22−2i2i2-2-11-11−2i2i00000000-11ii−i−i0000
χ202-2-22-222-2-2200-222-22-20000000000-2200000000
χ212-2-22-222-2-2200-22-11-1100000000001-13−3−330000
χ222-2-22-222-2-2200-22-11-1100000000001-1−333−30000
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
χ273-3-333-3-111-13i−3i-110000−iiii−i−i−i−iii0000001-1-11
χ283-3-333-3-111-13i−3i-110000−ii−i−iiiii−i−i000000-111-1
χ293-3-333-3-111-1−3i3i-110000i−iii−i−i−i−iii000000-111-1
χ303-3-333-3-111-1−3i3i-110000i−i−i−iiiii−i−i0000001-1-11
χ3144-4-40044-4-40000-2-22200000000000000000000
χ324-44-4004-44-40000-222-200000000000000000000
χ336666-6-6-2-2-2-20022000000000000000000000000
χ3466-6-600-2-22200000000002−22−2−22−220000000000
χ3566-6-600-2-2220000000000−22−222−22−20000000000
χ366-66-600-22-220000000000−i2i2i2−i2i2−i2−i2i20000000000
χ376-66-600-22-220000000000i2−i2−i2i2−i2i2i2−i20000000000
χ386-6-66-66-222-2002-2000000000000000000000000

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