Extensions 1→N→G→Q→1 with N=C₂×C₄ and Q=D₃₁

Direct product G=N×Q with N=C₂×C₄ and Q=D₃₁

		d	ρ	Label	ID
C₂×C₄×D₃₁		248		C2xC4xD31	496,28

Semidirect products G=N:Q with N=C₂×C₄ and Q=D₃₁

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₄)⋊₁D₃₁ = D₆₂⋊C₄	φ: D₃₁/C₃₁ → C₂ ⊆ Aut C₂×C₄	248		(C2xC4):1D31	496,13
(C₂×C₄)⋊₂D₃₁ = C₂×D₁₂₄	φ: D₃₁/C₃₁ → C₂ ⊆ Aut C₂×C₄	248		(C2xC4):2D31	496,29
(C₂×C₄)⋊₃D₃₁ = D₁₂₄⋊₅C₂	φ: D₃₁/C₃₁ → C₂ ⊆ Aut C₂×C₄	248	2	(C2xC4):3D31	496,30

Non-split extensions G=N.Q with N=C₂×C₄ and Q=D₃₁

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₄).₁D₃₁ = Dic₃₁⋊C₄	φ: D₃₁/C₃₁ → C₂ ⊆ Aut C₂×C₄	496		(C2xC4).1D31	496,11
(C₂×C₄).₂D₃₁ = C₄.Dic₃₁	φ: D₃₁/C₃₁ → C₂ ⊆ Aut C₂×C₄	248	2	(C2xC4).2D31	496,9
(C₂×C₄).₃D₃₁ = C₄⋊Dic₃₁	φ: D₃₁/C₃₁ → C₂ ⊆ Aut C₂×C₄	496		(C2xC4).3D31	496,12
(C₂×C₄).₄D₃₁ = C₂×Dic₆₂	φ: D₃₁/C₃₁ → C₂ ⊆ Aut C₂×C₄	496		(C2xC4).4D31	496,27
(C₂×C₄).₅D₃₁ = C₂×C₃₁⋊C₈	central extension (φ=1)	496		(C2xC4).5D31	496,8
(C₂×C₄).₆D₃₁ = C₄×Dic₃₁	central extension (φ=1)	496		(C2xC4).6D31	496,10

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