Extensions 1→N→G→Q→1 with N=C₄ and Q=D₅.D₅

Direct product G=N×Q with N=C₄ and Q=D₅.D₅

		d	ρ	Label	ID
C₄×D₅.D₅		80	4	C4xD5.D5	400,144

Semidirect products G=N:Q with N=C₄ and Q=D₅.D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊(D₅.D₅) = C₂₀⋊₅F₅	φ: D₅.D₅/C₅×D₅ → C₂ ⊆ Aut C₄	80	4	C4:(D5.D5)	400,145

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.(D₅.D₅) = C₂₀.₁₂F₅	φ: D₅.D₅/C₅×D₅ → C₂ ⊆ Aut C₄	80	4	C4.(D5.D5)	400,143
C₄.₂(D₅.D₅) = C₅²⋊₃C₁₆	central extension (φ=1)	80	4	C4.2(D5.D5)	400,57
C₄.₃(D₅.D₅) = C₂₀.₁₄F₅	central extension (φ=1)	80	4	C4.3(D5.D5)	400,142

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Extensions 1→N→G→Q→1 with N=C4 and Q=D5.D5