# Extensions 1→N→G→Q→1 with N=C42 and Q=C3×C6

Direct product G=N×Q with N=C42 and Q=C3×C6
dρLabelID
C2×C122288C2xC12^2288,811

Semidirect products G=N:Q with N=C42 and Q=C3×C6
extensionφ:Q→Aut NdρLabelID
C421(C3×C6) = C3×C42⋊C6φ: C3×C6/C3C6 ⊆ Aut C42486C4^2:1(C3xC6)288,635
C422(C3×C6) = C3×C23.A4φ: C3×C6/C3C6 ⊆ Aut C42366C4^2:2(C3xC6)288,636
C423(C3×C6) = C6×C42⋊C3φ: C3×C6/C6C3 ⊆ Aut C42363C4^2:3(C3xC6)288,632
C424(C3×C6) = C32×C42⋊C2φ: C3×C6/C32C2 ⊆ Aut C42144C4^2:4(C3xC6)288,814
C425(C3×C6) = C32×C422C2φ: C3×C6/C32C2 ⊆ Aut C42144C4^2:5(C3xC6)288,823
C426(C3×C6) = C32×C4≀C2φ: C3×C6/C32C2 ⊆ Aut C4272C4^2:6(C3xC6)288,322
C427(C3×C6) = D4×C3×C12φ: C3×C6/C32C2 ⊆ Aut C42144C4^2:7(C3xC6)288,815
C428(C3×C6) = C32×C4.4D4φ: C3×C6/C32C2 ⊆ Aut C42144C4^2:8(C3xC6)288,821
C429(C3×C6) = C32×C41D4φ: C3×C6/C32C2 ⊆ Aut C42144C4^2:9(C3xC6)288,824

Non-split extensions G=N.Q with N=C42 and Q=C3×C6
extensionφ:Q→Aut NdρLabelID
C42.1(C3×C6) = C32×C8⋊C4φ: C3×C6/C32C2 ⊆ Aut C42288C4^2.1(C3xC6)288,315
C42.2(C3×C6) = C32×C4⋊C8φ: C3×C6/C32C2 ⊆ Aut C42288C4^2.2(C3xC6)288,323
C42.3(C3×C6) = Q8×C3×C12φ: C3×C6/C32C2 ⊆ Aut C42288C4^2.3(C3xC6)288,816
C42.4(C3×C6) = C32×C42.C2φ: C3×C6/C32C2 ⊆ Aut C42288C4^2.4(C3xC6)288,822
C42.5(C3×C6) = C32×C4⋊Q8φ: C3×C6/C32C2 ⊆ Aut C42288C4^2.5(C3xC6)288,825

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