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
D₅×C₄⋊D₄		80		D5xC4:D4	320,1276

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) = C₁₀.(C₄×D₄)	φ: C₄⋊D₄/C₂²⋊C₄ → C₂ ⊆ Out D₅	80		D5.1(C4:D4)	320,1038
D₅.₂(C₄⋊D₄) = C₂₀⋊(C₄⋊C₄)	φ: C₄⋊D₄/C₄⋊C₄ → C₂ ⊆ Out D₅	80		D5.2(C4:D4)	320,1050
D₅.₃(C₄⋊D₄) = D₁₀⋊₆(C₄⋊C₄)	φ: C₄⋊D₄/C₂²×C₄ → C₂ ⊆ Out D₅	80		D5.3(C4:D4)	320,1103
D₅.₄(C₄⋊D₄) = (C₂×F₅)⋊D₄	φ: C₄⋊D₄/C₂×D₄ → C₂ ⊆ Out D₅	40		D5.4(C4:D4)	320,1117
D₅.₅(C₄⋊D₄) = C₂.(D₄×F₅)	φ: C₄⋊D₄/C₂×D₄ → C₂ ⊆ Out D₅	80		D5.5(C4:D4)	320,1118

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁