Extensions 1→N→G→Q→1 with N=D₄ and Q=C₅×D₅

Direct product G=N×Q with N=D₄ and Q=C₅×D₅

		d	ρ	Label	ID
C₅×D₄×D₅		40	4	C5xD4xD5	400,185

Semidirect products G=N:Q with N=D₄ and Q=C₅×D₅

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊(C₅×D₅) = C₅×D₄⋊D₅	φ: C₅×D₅/C₅² → C₂ ⊆ Out D₄	40	4	D4:(C5xD5)	400,87
D₄⋊₂(C₅×D₅) = C₅×D₄⋊₂D₅	φ: trivial image	40	4	D4:2(C5xD5)	400,186

Non-split extensions G=N.Q with N=D₄ and Q=C₅×D₅

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.(C₅×D₅) = C₅×D₄.D₅	φ: C₅×D₅/C₅² → C₂ ⊆ Out D₄	40	4	D4.(C5xD5)	400,88

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Extensions 1→N→G→Q→1 with N=D4 and Q=C5×D5