Extensions 1→N→G→Q→1 with N=C₂×C₄ and Q=C₁₆

Direct product G=N×Q with N=C₂×C₄ and Q=C₁₆

		d	ρ	Label	ID
C₂×C₄×C₁₆		128		C2xC4xC16	128,837

Semidirect products G=N:Q with N=C₂×C₄ and Q=C₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₄)⋊C₁₆ = C₂².M₅(2)	φ: C₁₆/C₄ → C₄ ⊆ Aut C₂×C₄	64		(C2xC4):C16	128,54
(C₂×C₄)⋊₂C₁₆ = C₂².₇M₅(2)	φ: C₁₆/C₈ → C₂ ⊆ Aut C₂×C₄	128		(C2xC4):2C16	128,106
(C₂×C₄)⋊₃C₁₆ = C₂×C₄⋊C₁₆	φ: C₁₆/C₈ → C₂ ⊆ Aut C₂×C₄	128		(C2xC4):3C16	128,881
(C₂×C₄)⋊₄C₁₆ = C₄².₁₃C₈	φ: C₁₆/C₈ → C₂ ⊆ Aut C₂×C₄	64		(C2xC4):4C16	128,894

Non-split extensions G=N.Q with N=C₂×C₄ and Q=C₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₄).C₁₆ = C₂³.C₁₆	φ: C₁₆/C₄ → C₄ ⊆ Aut C₂×C₄	32	4	(C2xC4).C16	128,132
(C₂×C₄).₂C₁₆ = C₃₂⋊₅C₄	φ: C₁₆/C₈ → C₂ ⊆ Aut C₂×C₄	128		(C2xC4).2C16	128,129
(C₂×C₄).₃C₁₆ = C₂²⋊C₃₂	φ: C₁₆/C₈ → C₂ ⊆ Aut C₂×C₄	64		(C2xC4).3C16	128,131
(C₂×C₄).₄C₁₆ = C₄⋊C₃₂	φ: C₁₆/C₈ → C₂ ⊆ Aut C₂×C₄	128		(C2xC4).4C16	128,153
(C₂×C₄).₅C₁₆ = M₇(2)	φ: C₁₆/C₈ → C₂ ⊆ Aut C₂×C₄	64	2	(C2xC4).5C16	128,160
(C₂×C₄).₆C₁₆ = C₂×M₆(2)	φ: C₁₆/C₈ → C₂ ⊆ Aut C₂×C₄	64		(C2xC4).6C16	128,989

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