Extensions 1→N→G→Q→1 with N=C₂xC₄ and Q=C₆

Direct product G=NxQ with N=C₂xC₄ and Q=C₆

		d	ρ	Label	ID
C₂²xC₁₂		48		C2^2xC12	48,44

Semidirect products G=N:Q with N=C₂xC₄ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₄):₁C₆ = C₃xC₂²:C₄	φ: C₆/C₃ → C₂ ⊆ Aut C₂xC₄	24		(C2xC4):1C6	48,21
(C₂xC₄):₂C₆ = C₆xD₄	φ: C₆/C₃ → C₂ ⊆ Aut C₂xC₄	24		(C2xC4):2C6	48,45
(C₂xC₄):₃C₆ = C₃xC₄oD₄	φ: C₆/C₃ → C₂ ⊆ Aut C₂xC₄	24	2	(C2xC4):3C6	48,47

Non-split extensions G=N.Q with N=C₂xC₄ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₄).₁C₆ = C₃xC₄:C₄	φ: C₆/C₃ → C₂ ⊆ Aut C₂xC₄	48		(C2xC4).1C6	48,22
(C₂xC₄).₂C₆ = C₃xM₄(2)	φ: C₆/C₃ → C₂ ⊆ Aut C₂xC₄	24	2	(C2xC4).2C6	48,24
(C₂xC₄).₃C₆ = C₆xQ₈	φ: C₆/C₃ → C₂ ⊆ Aut C₂xC₄	48		(C2xC4).3C6	48,46

Extensions 1→N→G→Q→1 with N=C2xC4 and Q=C6