Extensions 1→N→G→Q→1 with N=D₅ and Q=C₄×D₄

Direct product G=N×Q with N=D₅ and Q=C₄×D₄

		d	ρ	Label	ID
C₄×D₄×D₅		80		C4xD4xD5	320,1216

Semidirect products G=N:Q with N=D₅ and Q=C₄×D₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₅⋊(C₄×D₄) = C₂×D₄×F₅	φ: C₄×D₄/C₂×D₄ → C₂ ⊆ Out D₅	40		D5:(C4xD4)	320,1595

Non-split extensions G=N.Q with N=D₅ and Q=C₄×D₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₅.₁(C₄×D₄) = C₄×C₄⋊F₅	φ: C₄×D₄/C₄² → C₂ ⊆ Out D₅	80		D5.1(C4xD4)	320,1025
D₅.₂(C₄×D₄) = C₂²⋊C₄×F₅	φ: C₄×D₄/C₂²⋊C₄ → C₂ ⊆ Out D₅	40		D5.2(C4xD4)	320,1036
D₅.₃(C₄×D₄) = C₄⋊C₄×F₅	φ: C₄×D₄/C₄⋊C₄ → C₂ ⊆ Out D₅	80		D5.3(C4xD4)	320,1048
D₅.₄(C₄×D₄) = C₄×C₂²⋊F₅	φ: C₄×D₄/C₂²×C₄ → C₂ ⊆ Out D₅	80		D5.4(C4xD4)	320,1101

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