Extensions 1→N→G→Q→1 with N=C32 and Q=C2×C20

Direct product G=N×Q with N=C32 and Q=C2×C20
dρLabelID
C6×C60360C6xC60360,115

Semidirect products G=N:Q with N=C32 and Q=C2×C20
extensionφ:Q→Aut NdρLabelID
C321(C2×C20) = C10×C32⋊C4φ: C2×C20/C10C4 ⊆ Aut C32604C3^2:1(C2xC20)360,148
C322(C2×C20) = C5×S3×Dic3φ: C2×C20/C10C22 ⊆ Aut C321204C3^2:2(C2xC20)360,72
C323(C2×C20) = C5×C6.D6φ: C2×C20/C10C22 ⊆ Aut C32604C3^2:3(C2xC20)360,73
C324(C2×C20) = S3×C60φ: C2×C20/C20C2 ⊆ Aut C321202C3^2:4(C2xC20)360,96
C325(C2×C20) = C3⋊S3×C20φ: C2×C20/C20C2 ⊆ Aut C32180C3^2:5(C2xC20)360,106
C326(C2×C20) = Dic3×C30φ: C2×C20/C2×C10C2 ⊆ Aut C32120C3^2:6(C2xC20)360,98
C327(C2×C20) = C10×C3⋊Dic3φ: C2×C20/C2×C10C2 ⊆ Aut C32360C3^2:7(C2xC20)360,108


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