Extensions 1→N→G→Q→1 with N=C3 and Q=S3×C21

Direct product G=N×Q with N=C3 and Q=S3×C21
dρLabelID
S3×C3×C21126S3xC3xC21378,54

Semidirect products G=N:Q with N=C3 and Q=S3×C21
extensionφ:Q→Aut NdρLabelID
C3⋊(S3×C21) = C3⋊S3×C21φ: S3×C21/C3×C21C2 ⊆ Aut C3126C3:(S3xC21)378,56

Non-split extensions G=N.Q with N=C3 and Q=S3×C21
extensionφ:Q→Aut NdρLabelID
C3.1(S3×C21) = D9×C21φ: S3×C21/C3×C21C2 ⊆ Aut C31262C3.1(S3xC21)378,32
C3.2(S3×C21) = C7×C32⋊C6φ: S3×C21/C3×C21C2 ⊆ Aut C3636C3.2(S3xC21)378,34
C3.3(S3×C21) = C7×C9⋊C6φ: S3×C21/C3×C21C2 ⊆ Aut C3636C3.3(S3xC21)378,35
C3.4(S3×C21) = S3×C63central extension (φ=1)1262C3.4(S3xC21)378,33

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