Extensions 1→N→G→Q→1 with N=D₅ and Q=C₂×C₃⋊D₄

Direct product G=N×Q with N=D₅ and Q=C₂×C₃⋊D₄

		d	ρ	Label	ID
C₂×D₅×C₃⋊D₄		120		C2xD5xC3:D4	480,1122

Non-split extensions G=N.Q with N=D₅ and Q=C₂×C₃⋊D₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₅.₁(C₂×C₃⋊D₄) = C₂×Dic₃⋊F₅	φ: C₂×C₃⋊D₄/C₂×Dic₃ → C₂ ⊆ Out D₅	120		D5.1(C2xC3:D4)	480,1001
D₅.₂(C₂×C₃⋊D₄) = F₅×C₃⋊D₄	φ: C₂×C₃⋊D₄/C₃⋊D₄ → C₂ ⊆ Out D₅	60	8	D5.2(C2xC3:D4)	480,1010
D₅.₃(C₂×C₃⋊D₄) = C₂×D₆⋊F₅	φ: C₂×C₃⋊D₄/C₂²×S₃ → C₂ ⊆ Out D₅	120		D5.3(C2xC3:D4)	480,1000
D₅.₄(C₂×C₃⋊D₄) = C₂×D₁₀.D₆	φ: C₂×C₃⋊D₄/C₂²×C₆ → C₂ ⊆ Out D₅	120		D5.4(C2xC3:D4)	480,1072

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