Extensions 1→N→G→Q→1 with N=C₂×C₁₀ and Q=C₃×Q₈

Direct product G=N×Q with N=C₂×C₁₀ and Q=C₃×Q₈

		d	ρ	Label	ID
Q₈×C₂×C₃₀		480		Q8xC2xC30	480,1182

Semidirect products G=N:Q with N=C₂×C₁₀ and Q=C₃×Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₁₀)⋊(C₃×Q₈) = A₄×Dic₁₀	φ: C₃×Q₈/C₄ → C₆ ⊆ Aut C₂×C₁₀	120	6-	(C2xC10):(C3xQ8)	480,1035
(C₂×C₁₀)⋊₂(C₃×Q₈) = C₃×Dic₅.₁₄D₄	φ: C₃×Q₈/C₆ → C₂² ⊆ Aut C₂×C₁₀	240		(C2xC10):2(C3xQ8)	480,671
(C₂×C₁₀)⋊₃(C₃×Q₈) = C₅×Q₈×A₄	φ: C₃×Q₈/Q₈ → C₃ ⊆ Aut C₂×C₁₀	120	6	(C2xC10):3(C3xQ8)	480,1129
(C₂×C₁₀)⋊₄(C₃×Q₈) = C₁₅×C₂²⋊Q₈	φ: C₃×Q₈/C₁₂ → C₂ ⊆ Aut C₂×C₁₀	240		(C2xC10):4(C3xQ8)	480,927
(C₂×C₁₀)⋊₅(C₃×Q₈) = C₃×C₂₀.₄₈D₄	φ: C₃×Q₈/C₁₂ → C₂ ⊆ Aut C₂×C₁₀	240		(C2xC10):5(C3xQ8)	480,717
(C₂×C₁₀)⋊₆(C₃×Q₈) = C₂×C₆×Dic₁₀	φ: C₃×Q₈/C₁₂ → C₂ ⊆ Aut C₂×C₁₀	480		(C2xC10):6(C3xQ8)	480,1135

Non-split extensions G=N.Q with N=C₂×C₁₀ and Q=C₃×Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₁₀).(C₃×Q₈) = C₃×C₂₀.₅₃D₄	φ: C₃×Q₈/C₆ → C₂² ⊆ Aut C₂×C₁₀	240	4	(C2xC10).(C3xQ8)	480,100
(C₂×C₁₀).₂(C₃×Q₈) = C₁₅×C₈.C₄	φ: C₃×Q₈/C₁₂ → C₂ ⊆ Aut C₂×C₁₀	240	2	(C2xC10).2(C3xQ8)	480,211
(C₂×C₁₀).₃(C₃×Q₈) = C₃×C₄₀.₆C₄	φ: C₃×Q₈/C₁₂ → C₂ ⊆ Aut C₂×C₁₀	240	2	(C2xC10).3(C3xQ8)	480,97
(C₂×C₁₀).₄(C₃×Q₈) = C₃×C₁₀.₁₀C₄²	φ: C₃×Q₈/C₁₂ → C₂ ⊆ Aut C₂×C₁₀	480		(C2xC10).4(C3xQ8)	480,109
(C₂×C₁₀).₅(C₃×Q₈) = C₆×C₁₀.D₄	φ: C₃×Q₈/C₁₂ → C₂ ⊆ Aut C₂×C₁₀	480		(C2xC10).5(C3xQ8)	480,716
(C₂×C₁₀).₆(C₃×Q₈) = C₆×C₄⋊Dic₅	φ: C₃×Q₈/C₁₂ → C₂ ⊆ Aut C₂×C₁₀	480		(C2xC10).6(C3xQ8)	480,718
(C₂×C₁₀).₇(C₃×Q₈) = C₁₅×C₂.C₄²	central extension (φ=1)	480		(C2xC10).7(C3xQ8)	480,198
(C₂×C₁₀).₈(C₃×Q₈) = C₄⋊C₄×C₃₀	central extension (φ=1)	480		(C2xC10).8(C3xQ8)	480,921

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