Extensions 1→N→G→Q→1 with N=C₃xD₄ and Q=C₃xC₆

Direct product G=NxQ with N=C₃xD₄ and Q=C₃xC₆

		d	ρ	Label	ID
D₄xC₃²xC₆		216		D4xC3^2xC6	432,731

Semidirect products G=N:Q with N=C₃xD₄ and Q=C₃xC₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃xD₄):₁(C₃xC₆) = C₃²xD₄:S₃	φ: C₃xC₆/C₃² → C₂ ⊆ Out C₃xD₄	72		(C3xD4):1(C3xC6)	432,475
(C₃xD₄):₂(C₃xC₆) = S₃xD₄xC₃²	φ: C₃xC₆/C₃² → C₂ ⊆ Out C₃xD₄	72		(C3xD4):2(C3xC6)	432,704
(C₃xD₄):₃(C₃xC₆) = C₃²xD₄:₂S₃	φ: C₃xC₆/C₃² → C₂ ⊆ Out C₃xD₄	72		(C3xD4):3(C3xC6)	432,705
(C₃xD₄):₄(C₃xC₆) = D₈xC₃³	φ: C₃xC₆/C₃² → C₂ ⊆ Out C₃xD₄	216		(C3xD4):4(C3xC6)	432,517
(C₃xD₄):₅(C₃xC₆) = C₄oD₄xC₃³	φ: trivial image	216		(C3xD4):5(C3xC6)	432,733

Non-split extensions G=N.Q with N=C₃xD₄ and Q=C₃xC₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃xD₄).₁(C₃xC₆) = C₃²xD₄.S₃	φ: C₃xC₆/C₃² → C₂ ⊆ Out C₃xD₄	72		(C3xD4).1(C3xC6)	432,476
(C₃xD₄).₂(C₃xC₆) = D₈xC₃xC₉	φ: C₃xC₆/C₃² → C₂ ⊆ Out C₃xD₄	216		(C3xD4).2(C3xC6)	432,215
(C₃xD₄).₃(C₃xC₆) = D₈xHe₃	φ: C₃xC₆/C₃² → C₂ ⊆ Out C₃xD₄	72	6	(C3xD4).3(C3xC6)	432,216
(C₃xD₄).₄(C₃xC₆) = D₈x3_-¹⁺²	φ: C₃xC₆/C₃² → C₂ ⊆ Out C₃xD₄	72	6	(C3xD4).4(C3xC6)	432,217
(C₃xD₄).₅(C₃xC₆) = SD₁₆xC₃xC₉	φ: C₃xC₆/C₃² → C₂ ⊆ Out C₃xD₄	216		(C3xD4).5(C3xC6)	432,218
(C₃xD₄).₆(C₃xC₆) = SD₁₆xHe₃	φ: C₃xC₆/C₃² → C₂ ⊆ Out C₃xD₄	72	6	(C3xD4).6(C3xC6)	432,219
(C₃xD₄).₇(C₃xC₆) = SD₁₆x3_-¹⁺²	φ: C₃xC₆/C₃² → C₂ ⊆ Out C₃xD₄	72	6	(C3xD4).7(C3xC6)	432,220
(C₃xD₄).₈(C₃xC₆) = SD₁₆xC₃³	φ: C₃xC₆/C₃² → C₂ ⊆ Out C₃xD₄	216		(C3xD4).8(C3xC6)	432,518
(C₃xD₄).₉(C₃xC₆) = D₄xC₃xC₁₈	φ: trivial image	216		(C3xD4).9(C3xC6)	432,403
(C₃xD₄).₁₀(C₃xC₆) = C₂xD₄xHe₃	φ: trivial image	72		(C3xD4).10(C3xC6)	432,404
(C₃xD₄).₁₁(C₃xC₆) = C₂xD₄x3_-¹⁺²	φ: trivial image	72		(C3xD4).11(C3xC6)	432,405
(C₃xD₄).₁₂(C₃xC₆) = C₄oD₄xC₃xC₉	φ: trivial image	216		(C3xD4).12(C3xC6)	432,409
(C₃xD₄).₁₃(C₃xC₆) = C₄oD₄xHe₃	φ: trivial image	72	6	(C3xD4).13(C3xC6)	432,410
(C₃xD₄).₁₄(C₃xC₆) = C₄oD₄x3_-¹⁺²	φ: trivial image	72	6	(C3xD4).14(C3xC6)	432,411

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