Extensions 1→N→G→Q→1 with N=C₂xC₄ and Q=C₅:D₅

Direct product G=NxQ with N=C₂xC₄ and Q=C₅:D₅

		d	ρ	Label	ID
C₂xC₄xC₅:D₅		200		C2xC4xC5:D5	400,192

Semidirect products G=N:Q with N=C₂xC₄ and Q=C₅:D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₄):₁(C₅:D₅) = C₁₀.₁₁D₂₀	φ: C₅:D₅/C₅² → C₂ ⊆ Aut C₂xC₄	200		(C2xC4):1(C5:D5)	400,102
(C₂xC₄):₂(C₅:D₅) = C₂xC₂₀:D₅	φ: C₅:D₅/C₅² → C₂ ⊆ Aut C₂xC₄	200		(C2xC4):2(C5:D5)	400,193
(C₂xC₄):₃(C₅:D₅) = C₂₀.₅₀D₁₀	φ: C₅:D₅/C₅² → C₂ ⊆ Aut C₂xC₄	200		(C2xC4):3(C5:D5)	400,194

Non-split extensions G=N.Q with N=C₂xC₄ and Q=C₅:D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₄).₁(C₅:D₅) = C₁₀².₂₂C₂²	φ: C₅:D₅/C₅² → C₂ ⊆ Aut C₂xC₄	400		(C2xC4).1(C5:D5)	400,100
(C₂xC₄).₂(C₅:D₅) = C₂₀.₅₉D₁₀	φ: C₅:D₅/C₅² → C₂ ⊆ Aut C₂xC₄	200		(C2xC4).2(C5:D5)	400,98
(C₂xC₄).₃(C₅:D₅) = C₂₀:₃Dic₅	φ: C₅:D₅/C₅² → C₂ ⊆ Aut C₂xC₄	400		(C2xC4).3(C5:D5)	400,101
(C₂xC₄).₄(C₅:D₅) = C₂xC₅²:₄Q₈	φ: C₅:D₅/C₅² → C₂ ⊆ Aut C₂xC₄	400		(C2xC4).4(C5:D5)	400,191
(C₂xC₄).₅(C₅:D₅) = C₂xC₅²:₇C₈	central extension (φ=1)	400		(C2xC4).5(C5:D5)	400,97
(C₂xC₄).₆(C₅:D₅) = C₄xC₅²:₆C₄	central extension (φ=1)	400		(C2xC4).6(C5:D5)	400,99

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