Extensions 1→N→G→Q→1 with N=C₆ and Q=C₂xA₄

Direct product G=NxQ with N=C₆ and Q=C₂xA₄

		d	ρ	Label	ID
A₄xC₂xC₆		36		A4xC2xC6	144,193

Semidirect products G=N:Q with N=C₆ and Q=C₂xA₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆:(C₂xA₄) = C₂xS₃xA₄	φ: C₂xA₄/A₄ → C₂ ⊆ Aut C₆	18	6+	C6:(C2xA4)	144,190

Non-split extensions G=N.Q with N=C₆ and Q=C₂xA₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁(C₂xA₄) = Dic₃.A₄	φ: C₂xA₄/A₄ → C₂ ⊆ Aut C₆	48	4+	C6.1(C2xA4)	144,127
C₆.₂(C₂xA₄) = S₃xSL₂(F₃)	φ: C₂xA₄/A₄ → C₂ ⊆ Aut C₆	24	4-	C6.2(C2xA4)	144,128
C₆.₃(C₂xA₄) = Dic₃xA₄	φ: C₂xA₄/A₄ → C₂ ⊆ Aut C₆	36	6-	C6.3(C2xA4)	144,129
C₆.₄(C₂xA₄) = C₄xC₃.A₄	central extension (φ=1)	36	3	C6.4(C2xA4)	144,34
C₆.₅(C₂xA₄) = C₂xQ₈:C₉	central extension (φ=1)	144		C6.5(C2xA4)	144,35
C₆.₆(C₂xA₄) = Q₈.C₁₈	central extension (φ=1)	72	2	C6.6(C2xA4)	144,36
C₆.₇(C₂xA₄) = C₂²xC₃.A₄	central extension (φ=1)	36		C6.7(C2xA4)	144,110
C₆.₈(C₂xA₄) = C₁₂xA₄	central extension (φ=1)	36	3	C6.8(C2xA4)	144,155
C₆.₉(C₂xA₄) = C₆xSL₂(F₃)	central extension (φ=1)	48		C6.9(C2xA4)	144,156
C₆.₁₀(C₂xA₄) = C₃xC₄.A₄	central extension (φ=1)	48	2	C6.10(C2xA4)	144,157

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