Extensions 1→N→G→Q→1 with N=C₂xC₆ and Q=C₂

Direct product G=NxQ with N=C₂xC₆ and Q=C₂

		d	ρ	Label	ID
C₂²xC₆		24		C2^2xC6	24,15

Semidirect products G=N:Q with N=C₂xC₆ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₆):₁C₂ = C₃xD₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂xC₆	12	2	(C2xC6):1C2	24,10
(C₂xC₆):₂C₂ = C₃:D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂xC₆	12	2	(C2xC6):2C2	24,8
(C₂xC₆):₃C₂ = C₂²xS₃	φ: C₂/C₁ → C₂ ⊆ Aut C₂xC₆	12		(C2xC6):3C2	24,14

Non-split extensions G=N.Q with N=C₂xC₆ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₆).C₂ = C₂xDic₃	φ: C₂/C₁ → C₂ ⊆ Aut C₂xC₆	24		(C2xC6).C2	24,7

Extensions 1→N→G→Q→1 with N=C2xC6 and Q=C2