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

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

		d	ρ	Label	ID
C₄×C₅⋊D₅		100		C4xC5:D5	200,33

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊(C₅⋊D₅) = C₂₀⋊D₅	φ: C₅⋊D₅/C₅² → C₂ ⊆ Aut C₄	100		C4:(C5:D5)	200,34

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.(C₅⋊D₅) = C₅²⋊₄Q₈	φ: C₅⋊D₅/C₅² → C₂ ⊆ Aut C₄	200		C4.(C5:D5)	200,32
C₄.₂(C₅⋊D₅) = C₅²⋊₇C₈	central extension (φ=1)	200		C4.2(C5:D5)	200,16

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