Finite Group Databasebeta

← Group #11713960

Character table — Group #11713960

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size11222444444666688121212121212161616161616161616161616161616242448484848484848
order12244222244224436224444666666666121212121212882444888
χ111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1
χ31111111-1-1-1-1111111-1-111-1-111111-1-1-1-111-1-1-1-11111-1-1-1-11
χ41111111-1-1-1-1111111-1-111-1-111111-1-1-1-111-1-1-1-1-1-1-1-11111-1
χ511111-1-11-11-11111111-1-1-11-11-1-1-1-111-1-11111-1-111-111-11-1-1
χ611111-1-11-11-11111111-1-1-11-11-1-1-1-111-1-11111-1-1-1-11-1-11-111
χ711111-1-1-11-11111111-11-1-1-111-1-1-1-1-1-11111-1-11111-11-11-11-1
χ811111-1-1-11-11111111-11-1-1-111-1-1-1-1-1-11111-1-111-1-11-11-11-11
χ9222222222222222-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000
χ102222222-2-2-2-22222-1-1-2-222-2-2-1-1-1-1-11111-1-11111000000000
χ1122222-2-22-22-22222-1-12-2-2-22-2-11111-1-111-1-1-1-111000000000
χ1222222-2-2-22-222222-1-1-22-2-2-22-1111111-1-1-1-111-1-1000000000
χ13222-2-22-20000-2-22222002-200222-2-20000-2-20000000000000
χ14222-2-22-20000-2-222-1-1002-200-1-1-111−i3i3−i3i311−i3i3−i3i3000000000
χ15222-2-22-20000-2-222-1-1002-200-1-1-111i3−i3i3−i311i3−i3i3−i3000000000
χ16222-2-2-220000-2-2222200-22002-2-2220000-2-20000000000000
χ17222-2-2-220000-2-222-1-100-2200-111-1-1−i3i3i3−i311−i3i3i3−i3000000000
χ18222-2-2-220000-2-222-1-100-2200-111-1-1i3−i3−i3i311i3−i3−i3i3000000000
χ1922-22-200020-22-22-2220-20002-2000000222-200-2-2000000000
χ2022-22-200020-22-22-2-1-10-200021−i3i3−i3i3−i3i3-1-1-11i3−i311000000000
χ2122-22-200020-22-22-2-1-10-200021i3−i3i3−i3i3−i3-1-1-11−i3i311000000000
χ2222-22-2000-2022-22-22202000-2-2000000-2-22-20022000000000
χ2322-22-2000-2022-22-2-1-102000-21−i3i3−i3i3i3−i311-11−i3i3-1-1000000000
χ2422-22-2000-2022-22-2-1-102000-21i3−i3i3−i3−i3i311-11i3−i3-1-1000000000
χ2522-2-220020-20-222-222-200020-200002200-22-2-200000000000
χ2622-2-220020-20-222-2-1-1-2000201−i3i3i3−i3-1-1−i3i31-111i3−i3000000000
χ2722-2-220020-20-222-2-1-1-2000201i3−i3−i3i3-1-1i3−i31-111−i3i3000000000
χ2822-2-2200-2020-222-2222000-20-20000-2-200-222200000000000
χ2922-2-2200-2020-222-2-1-12000-201−i3i3i3−i311i3−i31-1-1-1−i3i3000000000
χ3022-2-2200-2020-222-2-1-12000-201i3−i3−i3i311−i3i31-1-1-1i3−i3000000000
χ3133333333333-1-1-1-100-1-1-1-1-1-100000000000000011-1-111-1-11
χ3233333333333-1-1-1-100-1-1-1-1-1-1000000000000000-1-111-1-111-1
χ333333333-3-3-3-3-1-1-1-10011-1-11100000000000000011-1-1-1-1111
χ343333333-3-3-3-3-1-1-1-10011-1-111000000000000000-1-11111-1-1-1
χ3533333-3-33-33-3-1-1-1-100-1111-11000000000000000111-11-1-11-1
χ3633333-3-33-33-3-1-1-1-100-1111-11000000000000000-1-1-11-111-11
χ3733333-3-3-33-33-1-1-1-1001-1111-1000000000000000111-1-111-1-1
χ3833333-3-3-33-33-1-1-1-1001-1111-1000000000000000-1-1-111-1-111
χ39666-6-66-6000022-2-20000-2200000000000000000000000000
χ40666-6-6-66000022-2-200002-200000000000000000000000000
χ4166-66-600060-6-22-220002000-2000000000000000000000000
χ4266-66-6000-606-22-22000-20002000000000000000000000000
χ4366-6-660060-602-2-22002000-20000000000000000000000000
χ4466-6-6600-60602-2-2200-200020000000000000000000000000
χ458-80000000000000-44000000000000000000000−2i22i20000000
χ468-80000000000000-440000000000000000000002i2−2i20000000
χ4716-1600000000000004-4000000000000000000000000000000

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