Extensions 1→N→G→Q→1 with N=C₃ and Q=D₆.₆D₆

Direct product G=N×Q with N=C₃ and Q=D₆.₆D₆

		d	ρ	Label	ID
C₃×D₆.₆D₆		48	4	C3xD6.6D6	432,647

Semidirect products G=N:Q with N=C₃ and Q=D₆.₆D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(D₆.₆D₆) = Dic₃.S₃²	φ: D₆.₆D₆/C₆.D₆ → C₂ ⊆ Aut C₃	24	8+	C3:1(D6.6D6)	432,612
C₃⋊₂(D₆.₆D₆) = D₆.₃S₃²	φ: D₆.₆D₆/C₃⋊D₁₂ → C₂ ⊆ Aut C₃	24	8+	C3:2(D6.6D6)	432,609
C₃⋊₃(D₆.₆D₆) = C₁₂.₄₀S₃²	φ: D₆.₆D₆/C₃×Dic₆ → C₂ ⊆ Aut C₃	72		C3:3(D6.6D6)	432,665
C₃⋊₄(D₆.₆D₆) = C₁₂.₅₈S₃²	φ: D₆.₆D₆/S₃×C₁₂ → C₂ ⊆ Aut C₃	72		C3:4(D6.6D6)	432,669
C₃⋊₅(D₆.₆D₆) = C₁₂⋊S₃⋊₁₂S₃	φ: D₆.₆D₆/C₁₂⋊S₃ → C₂ ⊆ Aut C₃	48	4	C3:5(D6.6D6)	432,688

Non-split extensions G=N.Q with N=C₃ and Q=D₆.₆D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(D₆.₆D₆) = Dic₆⋊₅D₉	φ: D₆.₆D₆/C₃×Dic₆ → C₂ ⊆ Aut C₃	72	4+	C3.1(D6.6D6)	432,282
C₃.₂(D₆.₆D₆) = Dic₉.D₆	φ: D₆.₆D₆/S₃×C₁₂ → C₂ ⊆ Aut C₃	72	4+	C3.2(D6.6D6)	432,289
C₃.₃(D₆.₆D₆) = C₁₂.S₃²	φ: D₆.₆D₆/C₁₂⋊S₃ → C₂ ⊆ Aut C₃	72	12-	C3.3(D6.6D6)	432,299

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