Extensions 1→N→G→Q→1 with N=D₆ and Q=C₂xC₄

Direct product G=NxQ with N=D₆ and Q=C₂xC₄

		d	ρ	Label	ID
S₃xC₂²xC₄		48		S3xC2^2xC4	96,206

Semidirect products G=N:Q with N=D₆ and Q=C₂xC₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₆:₁(C₂xC₄) = C₄xD₁₂	φ: C₂xC₄/C₄ → C₂ ⊆ Out D₆	48		D6:1(C2xC4)	96,80
D₆:₂(C₂xC₄) = Dic₃:₄D₄	φ: C₂xC₄/C₄ → C₂ ⊆ Out D₆	48		D6:2(C2xC4)	96,88
D₆:₃(C₂xC₄) = Dic₃:₅D₄	φ: C₂xC₄/C₄ → C₂ ⊆ Out D₆	48		D6:3(C2xC4)	96,100
D₆:₄(C₂xC₄) = C₄xC₃:D₄	φ: C₂xC₄/C₄ → C₂ ⊆ Out D₆	48		D6:4(C2xC4)	96,135
D₆:₅(C₂xC₄) = S₃xC₂²:C₄	φ: C₂xC₄/C₂² → C₂ ⊆ Out D₆	24		D6:5(C2xC4)	96,87
D₆:₆(C₂xC₄) = C₂xD₆:C₄	φ: C₂xC₄/C₂² → C₂ ⊆ Out D₆	48		D6:6(C2xC4)	96,134

Non-split extensions G=N.Q with N=D₆ and Q=C₂xC₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₆.₁(C₂xC₄) = C₈oD₁₂	φ: C₂xC₄/C₄ → C₂ ⊆ Out D₆	48	2	D6.1(C2xC4)	96,108
D₆.₂(C₂xC₄) = D₁₂.C₄	φ: C₂xC₄/C₄ → C₂ ⊆ Out D₆	48	4	D6.2(C2xC4)	96,114
D₆.₃(C₂xC₄) = C₄²:₂S₃	φ: C₂xC₄/C₂² → C₂ ⊆ Out D₆	48		D6.3(C2xC4)	96,79
D₆.₄(C₂xC₄) = C₄:C₄:₇S₃	φ: C₂xC₄/C₂² → C₂ ⊆ Out D₆	48		D6.4(C2xC4)	96,99
D₆.₅(C₂xC₄) = C₂xC₈:S₃	φ: C₂xC₄/C₂² → C₂ ⊆ Out D₆	48		D6.5(C2xC4)	96,107
D₆.₆(C₂xC₄) = S₃xM₄(2)	φ: C₂xC₄/C₂² → C₂ ⊆ Out D₆	24	4	D6.6(C2xC4)	96,113
D₆.₇(C₂xC₄) = S₃xC₄²	φ: trivial image	48		D6.7(C2xC4)	96,78
D₆.₈(C₂xC₄) = S₃xC₄:C₄	φ: trivial image	48		D6.8(C2xC4)	96,98
D₆.₉(C₂xC₄) = S₃xC₂xC₈	φ: trivial image	48		D6.9(C2xC4)	96,106

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