Extensions 1→N→G→Q→1 with N=C₂×C₄ and Q=C₁₂

Direct product G=N×Q with N=C₂×C₄ and Q=C₁₂

		d	ρ	Label	ID
C₂×C₄×C₁₂		96		C2xC4xC12	96,161

Semidirect products G=N:Q with N=C₂×C₄ and Q=C₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₄)⋊C₁₂ = C₃×C₂³⋊C₄	φ: C₁₂/C₃ → C₄ ⊆ Aut C₂×C₄	24	4	(C2xC4):C12	96,49
(C₂×C₄)⋊₂C₁₂ = C₃×C₂.C₄²	φ: C₁₂/C₆ → C₂ ⊆ Aut C₂×C₄	96		(C2xC4):2C12	96,45
(C₂×C₄)⋊₃C₁₂ = C₆×C₄⋊C₄	φ: C₁₂/C₆ → C₂ ⊆ Aut C₂×C₄	96		(C2xC4):3C12	96,163
(C₂×C₄)⋊₄C₁₂ = C₃×C₄²⋊C₂	φ: C₁₂/C₆ → C₂ ⊆ Aut C₂×C₄	48		(C2xC4):4C12	96,164

Non-split extensions G=N.Q with N=C₂×C₄ and Q=C₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₄).C₁₂ = C₃×C₄.₁₀D₄	φ: C₁₂/C₃ → C₄ ⊆ Aut C₂×C₄	48	4	(C2xC4).C12	96,51
(C₂×C₄).₂C₁₂ = C₃×C₈⋊C₄	φ: C₁₂/C₆ → C₂ ⊆ Aut C₂×C₄	96		(C2xC4).2C12	96,47
(C₂×C₄).₃C₁₂ = C₃×C₂²⋊C₈	φ: C₁₂/C₆ → C₂ ⊆ Aut C₂×C₄	48		(C2xC4).3C12	96,48
(C₂×C₄).₄C₁₂ = C₃×C₄⋊C₈	φ: C₁₂/C₆ → C₂ ⊆ Aut C₂×C₄	96		(C2xC4).4C12	96,55
(C₂×C₄).₅C₁₂ = C₃×M₅(2)	φ: C₁₂/C₆ → C₂ ⊆ Aut C₂×C₄	48	2	(C2xC4).5C12	96,60
(C₂×C₄).₆C₁₂ = C₆×M₄(2)	φ: C₁₂/C₆ → C₂ ⊆ Aut C₂×C₄	48		(C2xC4).6C12	96,177

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