Extensions 1→N→G→Q→1 with N=C₂×C₄ and Q=C₅⋊D₅

Direct product G=N×Q with N=C₂×C₄ and Q=C₅⋊D₅

		d	ρ	Label	ID
C₂×C₄×C₅⋊D₅		200		C2xC4xC5:D5	400,192

Semidirect products G=N:Q with N=C₂×C₄ and Q=C₅⋊D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₄)⋊₁(C₅⋊D₅) = C₁₀.₁₁D₂₀	φ: C₅⋊D₅/C₅² → C₂ ⊆ Aut C₂×C₄	200		(C2xC4):1(C5:D5)	400,102
(C₂×C₄)⋊₂(C₅⋊D₅) = C₂×C₂₀⋊D₅	φ: C₅⋊D₅/C₅² → C₂ ⊆ Aut C₂×C₄	200		(C2xC4):2(C5:D5)	400,193
(C₂×C₄)⋊₃(C₅⋊D₅) = C₂₀.₅₀D₁₀	φ: C₅⋊D₅/C₅² → C₂ ⊆ Aut C₂×C₄	200		(C2xC4):3(C5:D5)	400,194

Non-split extensions G=N.Q with N=C₂×C₄ and Q=C₅⋊D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₄).₁(C₅⋊D₅) = C₁₀².₂₂C₂²	φ: C₅⋊D₅/C₅² → C₂ ⊆ Aut C₂×C₄	400		(C2xC4).1(C5:D5)	400,100
(C₂×C₄).₂(C₅⋊D₅) = C₂₀.₅₉D₁₀	φ: C₅⋊D₅/C₅² → C₂ ⊆ Aut C₂×C₄	200		(C2xC4).2(C5:D5)	400,98
(C₂×C₄).₃(C₅⋊D₅) = C₂₀⋊₃Dic₅	φ: C₅⋊D₅/C₅² → C₂ ⊆ Aut C₂×C₄	400		(C2xC4).3(C5:D5)	400,101
(C₂×C₄).₄(C₅⋊D₅) = C₂×C₅²⋊₄Q₈	φ: C₅⋊D₅/C₅² → C₂ ⊆ Aut C₂×C₄	400		(C2xC4).4(C5:D5)	400,191
(C₂×C₄).₅(C₅⋊D₅) = C₂×C₅²⋊₇C₈	central extension (φ=1)	400		(C2xC4).5(C5:D5)	400,97
(C₂×C₄).₆(C₅⋊D₅) = C₄×C₅²⋊₆C₄	central extension (φ=1)	400		(C2xC4).6(C5:D5)	400,99

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