Extensions 1→N→G→Q→1 with N=Dic3 and Q=C2×C20

Direct product G=N×Q with N=Dic3 and Q=C2×C20
dρLabelID
Dic3×C2×C20480Dic3xC2xC20480,801

Semidirect products G=N:Q with N=Dic3 and Q=C2×C20
extensionφ:Q→Out NdρLabelID
Dic31(C2×C20) = C5×Dic34D4φ: C2×C20/C20C2 ⊆ Out Dic3240Dic3:1(C2xC20)480,760
Dic32(C2×C20) = C20×C3⋊D4φ: C2×C20/C20C2 ⊆ Out Dic3240Dic3:2(C2xC20)480,807
Dic33(C2×C20) = C5×S3×C4⋊C4φ: C2×C20/C2×C10C2 ⊆ Out Dic3240Dic3:3(C2xC20)480,770
Dic34(C2×C20) = C10×Dic3⋊C4φ: C2×C20/C2×C10C2 ⊆ Out Dic3480Dic3:4(C2xC20)480,802
Dic35(C2×C20) = S3×C4×C20φ: trivial image240Dic3:5(C2xC20)480,750

Non-split extensions G=N.Q with N=Dic3 and Q=C2×C20
extensionφ:Q→Out NdρLabelID
Dic3.1(C2×C20) = C20×Dic6φ: C2×C20/C20C2 ⊆ Out Dic3480Dic3.1(C2xC20)480,747
Dic3.2(C2×C20) = C5×Dic6⋊C4φ: C2×C20/C20C2 ⊆ Out Dic3480Dic3.2(C2xC20)480,766
Dic3.3(C2×C20) = C5×C8○D12φ: C2×C20/C20C2 ⊆ Out Dic32402Dic3.3(C2xC20)480,780
Dic3.4(C2×C20) = C5×D12.C4φ: C2×C20/C20C2 ⊆ Out Dic32404Dic3.4(C2xC20)480,786
Dic3.5(C2×C20) = C5×C422S3φ: C2×C20/C2×C10C2 ⊆ Out Dic3240Dic3.5(C2xC20)480,751
Dic3.6(C2×C20) = C5×C23.16D6φ: C2×C20/C2×C10C2 ⊆ Out Dic3240Dic3.6(C2xC20)480,756
Dic3.7(C2×C20) = C10×C8⋊S3φ: C2×C20/C2×C10C2 ⊆ Out Dic3240Dic3.7(C2xC20)480,779
Dic3.8(C2×C20) = C5×S3×M4(2)φ: C2×C20/C2×C10C2 ⊆ Out Dic31204Dic3.8(C2xC20)480,785
Dic3.9(C2×C20) = C5×C4⋊C47S3φ: trivial image240Dic3.9(C2xC20)480,771
Dic3.10(C2×C20) = S3×C2×C40φ: trivial image240Dic3.10(C2xC20)480,778

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