Extensions 1→N→G→Q→1 with N=C3 and Q=C323Q16

Direct product G=N×Q with N=C3 and Q=C323Q16

Semidirect products G=N:Q with N=C3 and Q=C323Q16
extensionφ:Q→Aut NdρLabelID
C31(C323Q16) = C338Q16φ: C323Q16/C3×C3⋊C8C2 ⊆ Aut C3144C3:1(C3^2:3Q16)432,447
C32(C323Q16) = C337Q16φ: C323Q16/C3×Dic6C2 ⊆ Aut C3144C3:2(C3^2:3Q16)432,446
C33(C323Q16) = C339Q16φ: C323Q16/C324Q8C2 ⊆ Aut C3484C3:3(C3^2:3Q16)432,459

Non-split extensions G=N.Q with N=C3 and Q=C323Q16
extensionφ:Q→Aut NdρLabelID
C3.1(C323Q16) = C3⋊Dic36φ: C323Q16/C3×C3⋊C8C2 ⊆ Aut C31444-C3.1(C3^2:3Q16)432,65
C3.2(C323Q16) = C9⋊Dic12φ: C323Q16/C3×Dic6C2 ⊆ Aut C31444-C3.2(C3^2:3Q16)432,75
C3.3(C323Q16) = He33Q16φ: C323Q16/C324Q8C2 ⊆ Aut C314412-C3.3(C3^2:3Q16)432,86