# Extensions 1→N→G→Q→1 with N=C4⋊C4 and Q=C3×C6

Direct product G=N×Q with N=C4⋊C4 and Q=C3×C6
dρLabelID
C4⋊C4×C3×C6288C4:C4xC3xC6288,813

Semidirect products G=N:Q with N=C4⋊C4 and Q=C3×C6
extensionφ:Q→Out NdρLabelID
C4⋊C41(C3×C6) = C32×D4⋊C4φ: C3×C6/C32C2 ⊆ Out C4⋊C4144C4:C4:1(C3xC6)288,320
C4⋊C42(C3×C6) = C32×C4⋊D4φ: C3×C6/C32C2 ⊆ Out C4⋊C4144C4:C4:2(C3xC6)288,818
C4⋊C43(C3×C6) = C32×C22⋊Q8φ: C3×C6/C32C2 ⊆ Out C4⋊C4144C4:C4:3(C3xC6)288,819
C4⋊C44(C3×C6) = C32×C22.D4φ: C3×C6/C32C2 ⊆ Out C4⋊C4144C4:C4:4(C3xC6)288,820
C4⋊C45(C3×C6) = C32×C422C2φ: C3×C6/C32C2 ⊆ Out C4⋊C4144C4:C4:5(C3xC6)288,823
C4⋊C46(C3×C6) = C32×C42⋊C2φ: trivial image144C4:C4:6(C3xC6)288,814
C4⋊C47(C3×C6) = D4×C3×C12φ: trivial image144C4:C4:7(C3xC6)288,815

Non-split extensions G=N.Q with N=C4⋊C4 and Q=C3×C6
extensionφ:Q→Out NdρLabelID
C4⋊C4.1(C3×C6) = C32×Q8⋊C4φ: C3×C6/C32C2 ⊆ Out C4⋊C4288C4:C4.1(C3xC6)288,321
C4⋊C4.2(C3×C6) = C32×C4.Q8φ: C3×C6/C32C2 ⊆ Out C4⋊C4288C4:C4.2(C3xC6)288,324
C4⋊C4.3(C3×C6) = C32×C2.D8φ: C3×C6/C32C2 ⊆ Out C4⋊C4288C4:C4.3(C3xC6)288,325
C4⋊C4.4(C3×C6) = C32×C42.C2φ: C3×C6/C32C2 ⊆ Out C4⋊C4288C4:C4.4(C3xC6)288,822
C4⋊C4.5(C3×C6) = C32×C4⋊Q8φ: C3×C6/C32C2 ⊆ Out C4⋊C4288C4:C4.5(C3xC6)288,825
C4⋊C4.6(C3×C6) = Q8×C3×C12φ: trivial image288C4:C4.6(C3xC6)288,816

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