Extensions 1→N→G→Q→1 with N=C3 and Q=D4×C20

Direct product G=N×Q with N=C3 and Q=D4×C20
dρLabelID
D4×C60240D4xC60480,923

Semidirect products G=N:Q with N=C3 and Q=D4×C20
extensionφ:Q→Aut NdρLabelID
C31(D4×C20) = C20×D12φ: D4×C20/C4×C20C2 ⊆ Aut C3240C3:1(D4xC20)480,752
C32(D4×C20) = C5×Dic34D4φ: D4×C20/C5×C22⋊C4C2 ⊆ Aut C3240C3:2(D4xC20)480,760
C33(D4×C20) = C5×Dic35D4φ: D4×C20/C5×C4⋊C4C2 ⊆ Aut C3240C3:3(D4xC20)480,772
C34(D4×C20) = C20×C3⋊D4φ: D4×C20/C22×C20C2 ⊆ Aut C3240C3:4(D4xC20)480,807
C35(D4×C20) = C5×D4×Dic3φ: D4×C20/D4×C10C2 ⊆ Aut C3240C3:5(D4xC20)480,813


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