Extensions 1→N→G→Q→1 with N=C₂×C₄ and Q=D₂₅

Direct product G=N×Q with N=C₂×C₄ and Q=D₂₅

		d	ρ	Label	ID
C₂×C₄×D₂₅		200		C2xC4xD25	400,36

Semidirect products G=N:Q with N=C₂×C₄ and Q=D₂₅

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₄)⋊₁D₂₅ = D₅₀⋊C₄	φ: D₂₅/C₂₅ → C₂ ⊆ Aut C₂×C₄	200		(C2xC4):1D25	400,14
(C₂×C₄)⋊₂D₂₅ = C₂×D₁₀₀	φ: D₂₅/C₂₅ → C₂ ⊆ Aut C₂×C₄	200		(C2xC4):2D25	400,37
(C₂×C₄)⋊₃D₂₅ = D₁₀₀⋊₅C₂	φ: D₂₅/C₂₅ → C₂ ⊆ Aut C₂×C₄	200	2	(C2xC4):3D25	400,38

Non-split extensions G=N.Q with N=C₂×C₄ and Q=D₂₅

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₄).₁D₂₅ = C₅₀.D₄	φ: D₂₅/C₂₅ → C₂ ⊆ Aut C₂×C₄	400		(C2xC4).1D25	400,12
(C₂×C₄).₂D₂₅ = C₄.Dic₂₅	φ: D₂₅/C₂₅ → C₂ ⊆ Aut C₂×C₄	200	2	(C2xC4).2D25	400,10
(C₂×C₄).₃D₂₅ = C₄⋊Dic₂₅	φ: D₂₅/C₂₅ → C₂ ⊆ Aut C₂×C₄	400		(C2xC4).3D25	400,13
(C₂×C₄).₄D₂₅ = C₂×Dic₅₀	φ: D₂₅/C₂₅ → C₂ ⊆ Aut C₂×C₄	400		(C2xC4).4D25	400,35
(C₂×C₄).₅D₂₅ = C₂×C₂₅⋊₂C₈	central extension (φ=1)	400		(C2xC4).5D25	400,9
(C₂×C₄).₆D₂₅ = C₄×Dic₂₅	central extension (φ=1)	400		(C2xC4).6D25	400,11

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