Finite Group Databasebeta

← Group #11713962

Character table — Group #11713962

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size11222444444666688121212121212161616161616161616161616161616242448484848484848
order12222222444444436222444666666666121212121212884444888
χ111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1
χ3111111-1-11-1-11111111-1-11-1-111111-1-1-1-111-1-1-1-11111-1-11-1-1
χ4111111-1-11-1-11111111-1-11-1-111111-1-1-1-111-1-1-1-1-1-1-1-111-111
χ511111-11-1-11-1111111-11-1-11-1111-1-111-1-1-1-111-1-1111-11-1-11-1
χ611111-11-1-11-1111111-11-1-11-1111-1-111-1-1-1-111-1-1-1-1-11-111-11
χ711111-1-11-1-11111111-1-11-1-11111-1-1-1-111-1-1-1-111111-1-11-1-11
χ811111-1-11-1-11111111-1-11-1-11111-1-1-1-111-1-1-1-111-1-1-111-111-1
χ9222222222222222-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000
χ10222222-2-22-2-22222-1-12-2-22-2-2-1-1-1-1-11111-1-11111000000000
χ1122222-22-2-22-22222-1-1-22-2-22-2-1-1-111-1-11111-1-111000000000
χ1222222-2-22-2-222222-1-1-2-22-2-22-1-1-11111-1-11111-1-1000000000
χ13222-2-200200-222-2-22200-20022-2-20000220000-2-2000000000
χ14222-2-200200-222-2-2-1-100-2002-111−i3i3−i3i3-1-1−i3i3−i3i311000000000
χ15222-2-200200-222-2-2-1-100-2002-111i3−i3i3−i3-1-1i3−i3i3−i311000000000
χ16222-2-200-200222-2-22200200-22-2-20000-2-2000022000000000
χ17222-2-200-200222-2-2-1-100200-2-111−i3i3i3−i311−i3i3i3−i3-1-1000000000
χ18222-2-200-200222-2-2-1-100200-2-111i3−i3−i3i311i3−i3−i3i3-1-1000000000
χ1922-22-20200-202-22-2220-20020-22-200220000-2-200000000000
χ2022-22-20200-202-22-2-1-10-200201-11−i3i3-1-1−i3i3i3−i311−i3i3000000000
χ2122-22-20200-202-22-2-1-10-200201-11i3−i3-1-1i3−i3−i3i311i3−i3000000000
χ2222-22-20-200202-22-2220200-20-22-200-2-200002200000000000
χ2322-22-20-200202-22-2-1-10200-201-11−i3i311i3−i3i3−i3-1-1i3−i3000000000
χ2422-22-20-200202-22-2-1-10200-201-11i3−i311−i3i3−i3i3-1-1−i3i3000000000
χ2522-2-22200-2002-2-2222-200200-2-22220000-2-20000000000000
χ2622-2-22200-2002-2-22-1-1-20020011-1-1-1−i3i3−i3i311i3−i3i3−i3000000000
χ2722-2-22200-2002-2-22-1-1-20020011-1-1-1i3−i3i3−i311−i3i3−i3i3000000000
χ2822-2-22-2002002-2-2222200-200-2-22-2-20000220000000000000
χ2922-2-22-2002002-2-22-1-1200-20011-111−i3i3i3−i3-1-1i3−i3−i3i3000000000
χ3022-2-22-2002002-2-22-1-1200-20011-111i3−i3−i3i3-1-1−i3i3i3−i3000000000
χ3133333333333-1-1-1-100-1-1-1-1-1-100000000000000011-1-1-1-1111
χ3233333333333-1-1-1-100-1-1-1-1-1-1000000000000000-1-11111-1-1-1
χ33333333-3-33-3-3-1-1-1-100-111-11100000000000000011-1-1111-1-1
χ34333333-3-33-3-3-1-1-1-100-111-111000000000000000-1-111-1-1-111
χ3533333-33-3-33-3-1-1-1-1001-111-1100000000000000011-11-11-11-1
χ3633333-33-3-33-3-1-1-1-1001-111-11000000000000000-1-11-11-11-11
χ3733333-3-33-3-33-1-1-1-10011-111-100000000000000011-111-1-1-11
χ3833333-3-33-3-33-1-1-1-10011-111-1000000000000000-1-11-1-1111-1
χ39666-6-600600-6-2-2220000200-2000000000000000000000000
χ40666-6-600-6006-2-2220000-2002000000000000000000000000
χ4166-66-60600-60-22-22000200-20000000000000000000000000
χ4266-66-60-60060-22-22000-20020000000000000000000000000
χ4366-6-66600-600-222-200200-200000000000000000000000000
χ4466-6-66-600600-222-200-200200000000000000000000000000
χ458-80000000000000-4400000000000000000000022−220000000
χ468-80000000000000-44000000000000000000000−22220000000
χ4716-1600000000000004-4000000000000000000000000000000

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