Extensions 1→N→G→Q→1 with N=C₃ and Q=C₆.D₆

Direct product G=N×Q with N=C₃ and Q=C₆.D₆

		d	ρ	Label	ID
C₃×C₆.D₆		24	4	C3xC6.D6	216,120

Semidirect products G=N:Q with N=C₃ and Q=C₆.D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₆.D₆) = C₃³⋊₈(C₂×C₄)	φ: C₆.D₆/C₃×Dic₃ → C₂ ⊆ Aut C₃	36		C3:1(C6.D6)	216,126
C₃⋊₂(C₆.D₆) = C₃³⋊₉(C₂×C₄)	φ: C₆.D₆/C₂×C₃⋊S₃ → C₂ ⊆ Aut C₃	24	4	C3:2(C6.D6)	216,131

Non-split extensions G=N.Q with N=C₃ and Q=C₆.D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(C₆.D₆) = C₁₈.D₆	φ: C₆.D₆/C₃×Dic₃ → C₂ ⊆ Aut C₃	36	4+	C3.1(C6.D6)	216,28
C₃.₂(C₆.D₆) = He₃⋊(C₂×C₄)	φ: C₆.D₆/C₂×C₃⋊S₃ → C₂ ⊆ Aut C₃	36	6-	C3.2(C6.D6)	216,36

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Extensions 1→N→G→Q→1 with N=C3 and Q=C6.D6