Extensions 1→N→G→Q→1 with N=C3 and Q=D6

Direct product G=N×Q with N=C3 and Q=D6
dρLabelID
S3×C6122S3xC636,12

Semidirect products G=N:Q with N=C3 and Q=D6
extensionφ:Q→Aut NdρLabelID
C31D6 = S32φ: D6/S3C2 ⊆ Aut C364+C3:1D636,10
C32D6 = C2×C3⋊S3φ: D6/C6C2 ⊆ Aut C318C3:2D636,13

Non-split extensions G=N.Q with N=C3 and Q=D6
extensionφ:Q→Aut NdρLabelID
C3.D6 = D18φ: D6/C6C2 ⊆ Aut C3182+C3.D636,4

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