Extensions 1→N→G→Q→1 with N=Q₈ and Q=D₃₀

Direct product G=N×Q with N=Q₈ and Q=D₃₀

		d	ρ	Label	ID
C₂×Q₈×D₁₅		240		C2xQ8xD15	480,1172

Semidirect products G=N:Q with N=Q₈ and Q=D₃₀

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊D₃₀ = C₂×Q₈⋊D₁₅	φ: D₃₀/C₁₀ → S₃ ⊆ Out Q₈	80		Q8:D30	480,1028
Q₈⋊₂D₃₀ = SD₁₆×D₁₅	φ: D₃₀/D₁₅ → C₂ ⊆ Out Q₈	120	4	Q8:2D30	480,878
Q₈⋊₃D₃₀ = Q₈⋊₃D₃₀	φ: D₃₀/D₁₅ → C₂ ⊆ Out Q₈	120	4+	Q8:3D30	480,879
Q₈⋊₄D₃₀ = C₂×Q₈⋊₂D₁₅	φ: D₃₀/C₃₀ → C₂ ⊆ Out Q₈	240		Q8:4D30	480,906
Q₈⋊₅D₃₀ = D₄⋊D₃₀	φ: D₃₀/C₃₀ → C₂ ⊆ Out Q₈	120	4+	Q8:5D30	480,914
Q₈⋊₆D₃₀ = C₂×Q₈⋊₃D₁₅	φ: trivial image	240		Q8:6D30	480,1173
Q₈⋊₇D₃₀ = C₄○D₄×D₁₅	φ: trivial image	120	4	Q8:7D30	480,1175
Q₈⋊₈D₃₀ = D₄⋊₈D₃₀	φ: trivial image	120	4+	Q8:8D30	480,1176

Non-split extensions G=N.Q with N=Q₈ and Q=D₃₀

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈.₁D₃₀ = C₂×Q₈.D₁₅	φ: D₃₀/C₁₀ → S₃ ⊆ Out Q₈	160		Q8.1D30	480,1027
Q₈.₂D₃₀ = Q₈.D₃₀	φ: D₃₀/C₁₀ → S₃ ⊆ Out Q₈	80	4	Q8.2D30	480,1029
Q₈.₃D₃₀ = C₂₀.₂S₄	φ: D₃₀/C₁₀ → S₃ ⊆ Out Q₈	160	4-	Q8.3D30	480,1030
Q₈.₄D₃₀ = C₂₀.₆S₄	φ: D₃₀/C₁₀ → S₃ ⊆ Out Q₈	80	4	Q8.4D30	480,1031
Q₈.₅D₃₀ = C₂₀.₃S₄	φ: D₃₀/C₁₀ → S₃ ⊆ Out Q₈	80	4+	Q8.5D30	480,1032
Q₈.₆D₃₀ = SD₁₆⋊D₁₅	φ: D₃₀/D₁₅ → C₂ ⊆ Out Q₈	240	4-	Q8.6D30	480,880
Q₈.₇D₃₀ = D₄.₅D₃₀	φ: D₃₀/D₁₅ → C₂ ⊆ Out Q₈	240	4	Q8.7D30	480,881
Q₈.₈D₃₀ = Q₁₆×D₁₅	φ: D₃₀/D₁₅ → C₂ ⊆ Out Q₈	240	4-	Q8.8D30	480,882
Q₈.₉D₃₀ = Q₁₆⋊D₁₅	φ: D₃₀/D₁₅ → C₂ ⊆ Out Q₈	240	4	Q8.9D30	480,883
Q₈.₁₀D₃₀ = D₁₂₀⋊₈C₂	φ: D₃₀/D₁₅ → C₂ ⊆ Out Q₈	240	4+	Q8.10D30	480,884
Q₈.₁₁D₃₀ = Q₈.₁₁D₃₀	φ: D₃₀/C₃₀ → C₂ ⊆ Out Q₈	240	4	Q8.11D30	480,907
Q₈.₁₂D₃₀ = C₂×C₁₅⋊₇Q₁₆	φ: D₃₀/C₃₀ → C₂ ⊆ Out Q₈	480		Q8.12D30	480,908
Q₈.₁₃D₃₀ = D₄.₈D₃₀	φ: D₃₀/C₃₀ → C₂ ⊆ Out Q₈	240	4	Q8.13D30	480,915
Q₈.₁₄D₃₀ = D₄.₉D₃₀	φ: D₃₀/C₃₀ → C₂ ⊆ Out Q₈	240	4-	Q8.14D30	480,916
Q₈.₁₅D₃₀ = Q₈.₁₅D₃₀	φ: trivial image	240	4	Q8.15D30	480,1174
Q₈.₁₆D₃₀ = D₄.₁₀D₃₀	φ: trivial image	240	4-	Q8.16D30	480,1177

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