Extensions 1→N→G→Q→1 with N=C3 and Q=D4×C2×C10

Direct product G=N×Q with N=C3 and Q=D4×C2×C10
dρLabelID
D4×C2×C30240D4xC2xC30480,1181

Semidirect products G=N:Q with N=C3 and Q=D4×C2×C10
extensionφ:Q→Aut NdρLabelID
C31(D4×C2×C10) = C2×C10×D12φ: D4×C2×C10/C22×C20C2 ⊆ Aut C3240C3:1(D4xC2xC10)480,1152
C32(D4×C2×C10) = S3×D4×C10φ: D4×C2×C10/D4×C10C2 ⊆ Aut C3120C3:2(D4xC2xC10)480,1154
C33(D4×C2×C10) = C2×C10×C3⋊D4φ: D4×C2×C10/C23×C10C2 ⊆ Aut C3240C3:3(D4xC2xC10)480,1164


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