Extensions 1→N→G→Q→1 with N=D₅ and Q=C₂×C₂²⋊C₄

Direct product G=N×Q with N=D₅ and Q=C₂×C₂²⋊C₄

		d	ρ	Label	ID
C₂×D₅×C₂²⋊C₄		80		C2xD5xC2^2:C4	320,1156

Semidirect products G=N:Q with N=D₅ and Q=C₂×C₂²⋊C₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₅⋊(C₂×C₂²⋊C₄) = C₂²×C₂²⋊F₅	φ: C₂×C₂²⋊C₄/C₂⁴ → C₂ ⊆ Out D₅	80		D5:(C2xC2^2:C4)	320,1607

Non-split extensions G=N.Q with N=D₅ and Q=C₂×C₂²⋊C₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₅.₁(C₂×C₂²⋊C₄) = C₂²⋊C₄×F₅	φ: C₂×C₂²⋊C₄/C₂²⋊C₄ → C₂ ⊆ Out D₅	40		D5.1(C2xC2^2:C4)	320,1036
D₅.₂(C₂×C₂²⋊C₄) = C₂×D₁₀.₃Q₈	φ: C₂×C₂²⋊C₄/C₂²×C₄ → C₂ ⊆ Out D₅	80		D5.2(C2xC2^2:C4)	320,1100

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Extensions 1→N→G→Q→1 with N=D5 and Q=C2×C22⋊C4