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

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

		d	ρ	Label	ID
C₃×D₆.D₆		48	4	C3xD6.D6	432,646

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(D₆.D₆) = (S₃×C₆).D₆	φ: D₆.D₆/D₆⋊S₃ → C₂ ⊆ Aut C₃	24	8+	C3:1(D6.D6)	432,606
C₃⋊₂(D₆.D₆) = D₆.S₃²	φ: D₆.D₆/C₃⋊D₁₂ → C₂ ⊆ Aut C₃	48	8-	C3:2(D6.D6)	432,607
C₃⋊₃(D₆.D₆) = Dic₃.S₃²	φ: D₆.D₆/C₃²⋊₂Q₈ → C₂ ⊆ Aut C₃	24	8+	C3:3(D6.D6)	432,612
C₃⋊₄(D₆.D₆) = C₁₂.₇₃S₃²	φ: D₆.D₆/S₃×C₁₂ → C₂ ⊆ Aut C₃	72		C3:4(D6.D6)	432,667
C₃⋊₅(D₆.D₆) = C₁₂.₉₅S₃²	φ: D₆.D₆/C₄×C₃⋊S₃ → C₂ ⊆ Aut C₃	48	4	C3:5(D6.D6)	432,689

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(D₆.D₆) = D₆.D₁₈	φ: D₆.D₆/S₃×C₁₂ → C₂ ⊆ Aut C₃	72	4	C3.1(D6.D6)	432,287
C₃.₂(D₆.D₆) = C₁₂.₉₁S₃²	φ: D₆.D₆/C₄×C₃⋊S₃ → C₂ ⊆ Aut C₃	72	6	C3.2(D6.D6)	432,297

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