Extensions 1→N→G→Q→1 with N=C₁₂ and Q=C₃xC₆

Direct product G=NxQ with N=C₁₂ and Q=C₃xC₆

		d	ρ	Label	ID
C₃xC₆xC₁₂		216		C3xC6xC12	216,150

Semidirect products G=N:Q with N=C₁₂ and Q=C₃xC₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₂:₁(C₃xC₆) = C₃²xD₁₂	φ: C₃xC₆/C₃² → C₂ ⊆ Aut C₁₂	72		C12:1(C3xC6)	216,137
C₁₂:₂(C₃xC₆) = S₃xC₃xC₁₂	φ: C₃xC₆/C₃² → C₂ ⊆ Aut C₁₂	72		C12:2(C3xC6)	216,136
C₁₂:₃(C₃xC₆) = D₄xC₃³	φ: C₃xC₆/C₃² → C₂ ⊆ Aut C₁₂	108		C12:3(C3xC6)	216,151

Non-split extensions G=N.Q with N=C₁₂ and Q=C₃xC₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₂.₁(C₃xC₆) = C₃²xDic₆	φ: C₃xC₆/C₃² → C₂ ⊆ Aut C₁₂	72		C12.1(C3xC6)	216,135
C₁₂.₂(C₃xC₆) = C₃²xC₃:C₈	φ: C₃xC₆/C₃² → C₂ ⊆ Aut C₁₂	72		C12.2(C3xC6)	216,82
C₁₂.₃(C₃xC₆) = D₄xC₃xC₉	φ: C₃xC₆/C₃² → C₂ ⊆ Aut C₁₂	108		C12.3(C3xC6)	216,76
C₁₂.₄(C₃xC₆) = D₄xHe₃	φ: C₃xC₆/C₃² → C₂ ⊆ Aut C₁₂	36	6	C12.4(C3xC6)	216,77
C₁₂.₅(C₃xC₆) = D₄x3_-¹⁺²	φ: C₃xC₆/C₃² → C₂ ⊆ Aut C₁₂	36	6	C12.5(C3xC6)	216,78
C₁₂.₆(C₃xC₆) = Q₈xC₃xC₉	φ: C₃xC₆/C₃² → C₂ ⊆ Aut C₁₂	216		C12.6(C3xC6)	216,79
C₁₂.₇(C₃xC₆) = Q₈xHe₃	φ: C₃xC₆/C₃² → C₂ ⊆ Aut C₁₂	72	6	C12.7(C3xC6)	216,80
C₁₂.₈(C₃xC₆) = Q₈x3_-¹⁺²	φ: C₃xC₆/C₃² → C₂ ⊆ Aut C₁₂	72	6	C12.8(C3xC6)	216,81
C₁₂.₉(C₃xC₆) = Q₈xC₃³	φ: C₃xC₆/C₃² → C₂ ⊆ Aut C₁₂	216		C12.9(C3xC6)	216,152
C₁₂.₁₀(C₃xC₆) = C₈xHe₃	central extension (φ=1)	72	3	C12.10(C3xC6)	216,19
C₁₂.₁₁(C₃xC₆) = C₈x3_-¹⁺²	central extension (φ=1)	72	3	C12.11(C3xC6)	216,20
C₁₂.₁₂(C₃xC₆) = C₂xC₄xHe₃	central extension (φ=1)	72		C12.12(C3xC6)	216,74
C₁₂.₁₃(C₃xC₆) = C₂xC₄x3_-¹⁺²	central extension (φ=1)	72		C12.13(C3xC6)	216,75

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