Extensions 1→N→G→Q→1 with N=C₂×C₃₀ and Q=Q₈

Direct product G=N×Q with N=C₂×C₃₀ and Q=Q₈

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

Semidirect products G=N:Q with N=C₂×C₃₀ and Q=Q₈

extension	φ:Q→Aut N	d	Label	ID
(C₂×C₃₀)⋊₁Q₈ = C₂²⋊₂Dic₃₀	φ: Q₈/C₂ → C₂² ⊆ Aut C₂×C₃₀	240	(C2xC30):1Q8	480,843
(C₂×C₃₀)⋊₂Q₈ = (C₂×C₃₀)⋊Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₂×C₃₀	240	(C2xC30):2Q8	480,650
(C₂×C₃₀)⋊₃Q₈ = (C₂×C₁₀)⋊₈Dic₆	φ: Q₈/C₂ → C₂² ⊆ Aut C₂×C₃₀	240	(C2xC30):3Q8	480,651
(C₂×C₃₀)⋊₄Q₈ = Dic₁₅.₄₈D₄	φ: Q₈/C₂ → C₂² ⊆ Aut C₂×C₃₀	240	(C2xC30):4Q8	480,652
(C₂×C₃₀)⋊₅Q₈ = C₂²×C₁₅⋊Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₂×C₃₀	480	(C2xC30):5Q8	480,1121
(C₂×C₃₀)⋊₆Q₈ = C₃×Dic₅.₁₄D₄	φ: Q₈/C₂ → C₂² ⊆ Aut C₂×C₃₀	240	(C2xC30):6Q8	480,671
(C₂×C₃₀)⋊₇Q₈ = C₅×Dic₃.D₄	φ: Q₈/C₂ → C₂² ⊆ Aut C₂×C₃₀	240	(C2xC30):7Q8	480,757
(C₂×C₃₀)⋊₈Q₈ = C₁₅×C₂²⋊Q₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₂×C₃₀	240	(C2xC30):8Q8	480,927
(C₂×C₃₀)⋊₉Q₈ = C₆₀.₂₀₅D₄	φ: Q₈/C₄ → C₂ ⊆ Aut C₂×C₃₀	240	(C2xC30):9Q8	480,889
(C₂×C₃₀)⋊₁₀Q₈ = C₂²×Dic₃₀	φ: Q₈/C₄ → C₂ ⊆ Aut C₂×C₃₀	480	(C2xC30):10Q8	480,1165
(C₂×C₃₀)⋊₁₁Q₈ = C₃×C₂₀.₄₈D₄	φ: Q₈/C₄ → C₂ ⊆ Aut C₂×C₃₀	240	(C2xC30):11Q8	480,717
(C₂×C₃₀)⋊₁₂Q₈ = C₂×C₆×Dic₁₀	φ: Q₈/C₄ → C₂ ⊆ Aut C₂×C₃₀	480	(C2xC30):12Q8	480,1135
(C₂×C₃₀)⋊₁₃Q₈ = C₅×C₁₂.₄₈D₄	φ: Q₈/C₄ → C₂ ⊆ Aut C₂×C₃₀	240	(C2xC30):13Q8	480,803
(C₂×C₃₀)⋊₁₄Q₈ = C₂×C₁₀×Dic₆	φ: Q₈/C₄ → C₂ ⊆ Aut C₂×C₃₀	480	(C2xC30):14Q8	480,1150

Non-split extensions G=N.Q with N=C₂×C₃₀ and Q=Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₃₀).₁Q₈ = C₆₀.₂₁₀D₄	φ: Q₈/C₂ → C₂² ⊆ Aut C₂×C₃₀	240	4	(C2xC30).1Q8	480,182
(C₂×C₃₀).₂Q₈ = C₆₀.₁₀₅D₄	φ: Q₈/C₂ → C₂² ⊆ Aut C₂×C₃₀	240	4	(C2xC30).2Q8	480,67
(C₂×C₃₀).₃Q₈ = C₆₀.D₄	φ: Q₈/C₂ → C₂² ⊆ Aut C₂×C₃₀	240	4	(C2xC30).3Q8	480,68
(C₂×C₃₀).₄Q₈ = C₁₂.₅₉D₂₀	φ: Q₈/C₂ → C₂² ⊆ Aut C₂×C₃₀	240	4	(C2xC30).4Q8	480,69
(C₂×C₃₀).₅Q₈ = C₃₀.₂₄C₄²	φ: Q₈/C₂ → C₂² ⊆ Aut C₂×C₃₀	480		(C2xC30).5Q8	480,70
(C₂×C₃₀).₆Q₈ = C₂×C₃₀.Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₂×C₃₀	480		(C2xC30).6Q8	480,617
(C₂×C₃₀).₇Q₈ = C₂×Dic₁₅⋊₅C₄	φ: Q₈/C₂ → C₂² ⊆ Aut C₂×C₃₀	480		(C2xC30).7Q8	480,620
(C₂×C₃₀).₈Q₈ = C₂×C₆.Dic₁₀	φ: Q₈/C₂ → C₂² ⊆ Aut C₂×C₃₀	480		(C2xC30).8Q8	480,621
(C₂×C₃₀).₉Q₈ = C₃×C₂₀.₅₃D₄	φ: Q₈/C₂ → C₂² ⊆ Aut C₂×C₃₀	240	4	(C2xC30).9Q8	480,100
(C₂×C₃₀).₁₀Q₈ = C₅×C₁₂.₅₃D₄	φ: Q₈/C₂ → C₂² ⊆ Aut C₂×C₃₀	240	4	(C2xC30).10Q8	480,141
(C₂×C₃₀).₁₁Q₈ = C₁₅×C₈.C₄	φ: Q₈/C₄ → C₂ ⊆ Aut C₂×C₃₀	240	2	(C2xC30).11Q8	480,211
(C₂×C₃₀).₁₂Q₈ = C₄.₁₈D₆₀	φ: Q₈/C₄ → C₂ ⊆ Aut C₂×C₃₀	240	2	(C2xC30).12Q8	480,179
(C₂×C₃₀).₁₃Q₈ = C₃₀.₂₉C₄²	φ: Q₈/C₄ → C₂ ⊆ Aut C₂×C₃₀	480		(C2xC30).13Q8	480,191
(C₂×C₃₀).₁₄Q₈ = C₂×C₃₀.₄Q₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₂×C₃₀	480		(C2xC30).14Q8	480,888
(C₂×C₃₀).₁₅Q₈ = C₂×C₆₀⋊₅C₄	φ: Q₈/C₄ → C₂ ⊆ Aut C₂×C₃₀	480		(C2xC30).15Q8	480,890
(C₂×C₃₀).₁₆Q₈ = C₃×C₄₀.₆C₄	φ: Q₈/C₄ → C₂ ⊆ Aut C₂×C₃₀	240	2	(C2xC30).16Q8	480,97
(C₂×C₃₀).₁₇Q₈ = C₃×C₁₀.₁₀C₄²	φ: Q₈/C₄ → C₂ ⊆ Aut C₂×C₃₀	480		(C2xC30).17Q8	480,109
(C₂×C₃₀).₁₈Q₈ = C₆×C₁₀.D₄	φ: Q₈/C₄ → C₂ ⊆ Aut C₂×C₃₀	480		(C2xC30).18Q8	480,716
(C₂×C₃₀).₁₉Q₈ = C₆×C₄⋊Dic₅	φ: Q₈/C₄ → C₂ ⊆ Aut C₂×C₃₀	480		(C2xC30).19Q8	480,718
(C₂×C₃₀).₂₀Q₈ = C₅×C₂₄.C₄	φ: Q₈/C₄ → C₂ ⊆ Aut C₂×C₃₀	240	2	(C2xC30).20Q8	480,138
(C₂×C₃₀).₂₁Q₈ = C₅×C₆.C₄²	φ: Q₈/C₄ → C₂ ⊆ Aut C₂×C₃₀	480		(C2xC30).21Q8	480,150
(C₂×C₃₀).₂₂Q₈ = C₁₀×Dic₃⋊C₄	φ: Q₈/C₄ → C₂ ⊆ Aut C₂×C₃₀	480		(C2xC30).22Q8	480,802
(C₂×C₃₀).₂₃Q₈ = C₁₀×C₄⋊Dic₃	φ: Q₈/C₄ → C₂ ⊆ Aut C₂×C₃₀	480		(C2xC30).23Q8	480,804
(C₂×C₃₀).₂₄Q₈ = C₁₅×C₂.C₄²	central extension (φ=1)	480		(C2xC30).24Q8	480,198
(C₂×C₃₀).₂₅Q₈ = C₄⋊C₄×C₃₀	central extension (φ=1)	480		(C2xC30).25Q8	480,921

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Extensions 1→N→G→Q→1 with N=C2×C30 and Q=Q8

Extensions 1→N→G→Q→1 with N=C₂×C₃₀ and Q=Q₈