Extensions 1→N→G→Q→1 with N=C₄×C₁₂ and Q=C₁₀

Direct product G=N×Q with N=C₄×C₁₂ and Q=C₁₀

		d	ρ	Label	ID
C₂×C₄×C₆₀		480		C2xC4xC60	480,919

Semidirect products G=N:Q with N=C₄×C₁₂ and Q=C₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₄×C₁₂)⋊₁C₁₀ = C₅×C₄²⋊₃S₃	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄×C₁₂	240		(C4xC12):1C10	480,755
(C₄×C₁₂)⋊₂C₁₀ = C₁₅×C₄²⋊C₂	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄×C₁₂	240		(C4xC12):2C10	480,922
(C₄×C₁₂)⋊₃C₁₀ = C₁₅×C₄²⋊₂C₂	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄×C₁₂	240		(C4xC12):3C10	480,931
(C₄×C₁₂)⋊₄C₁₀ = C₅×C₄⋊D₁₂	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄×C₁₂	240		(C4xC12):4C10	480,753
(C₄×C₁₂)⋊₅C₁₀ = C₅×C₄²⋊₇S₃	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄×C₁₂	240		(C4xC12):5C10	480,754
(C₄×C₁₂)⋊₆C₁₀ = C₅×C₄²⋊₄S₃	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄×C₁₂	120	2	(C4xC12):6C10	480,124
(C₄×C₁₂)⋊₇C₁₀ = C₂₀×D₁₂	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄×C₁₂	240		(C4xC12):7C10	480,752
(C₄×C₁₂)⋊₈C₁₀ = S₃×C₄×C₂₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄×C₁₂	240		(C4xC12):8C10	480,750
(C₄×C₁₂)⋊₉C₁₀ = C₅×C₄²⋊₂S₃	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄×C₁₂	240		(C4xC12):9C10	480,751
(C₄×C₁₂)⋊₁₀C₁₀ = C₁₅×C₄≀C₂	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄×C₁₂	120	2	(C4xC12):10C10	480,207
(C₄×C₁₂)⋊₁₁C₁₀ = D₄×C₆₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄×C₁₂	240		(C4xC12):11C10	480,923
(C₄×C₁₂)⋊₁₂C₁₀ = C₁₅×C₄.₄D₄	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄×C₁₂	240		(C4xC12):12C10	480,929
(C₄×C₁₂)⋊₁₃C₁₀ = C₁₅×C₄⋊₁D₄	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄×C₁₂	240		(C4xC12):13C10	480,932

Non-split extensions G=N.Q with N=C₄×C₁₂ and Q=C₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₄×C₁₂).₁C₁₀ = C₁₅×C₈⋊C₄	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄×C₁₂	480		(C4xC12).1C10	480,200
(C₄×C₁₂).₂C₁₀ = C₅×C₁₂⋊₂Q₈	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄×C₁₂	480		(C4xC12).2C10	480,748
(C₄×C₁₂).₃C₁₀ = C₅×C₁₂.₆Q₈	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄×C₁₂	480		(C4xC12).3C10	480,749
(C₄×C₁₂).₄C₁₀ = C₅×C₁₂⋊C₈	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄×C₁₂	480		(C4xC12).4C10	480,123
(C₄×C₁₂).₅C₁₀ = C₂₀×Dic₆	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄×C₁₂	480		(C4xC12).5C10	480,747
(C₄×C₁₂).₆C₁₀ = C₂₀×C₃⋊C₈	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄×C₁₂	480		(C4xC12).6C10	480,121
(C₄×C₁₂).₇C₁₀ = C₅×C₄².S₃	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄×C₁₂	480		(C4xC12).7C10	480,122
(C₄×C₁₂).₈C₁₀ = C₁₅×C₄⋊C₈	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄×C₁₂	480		(C4xC12).8C10	480,208
(C₄×C₁₂).₉C₁₀ = Q₈×C₆₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄×C₁₂	480		(C4xC12).9C10	480,924
(C₄×C₁₂).₁₀C₁₀ = C₁₅×C₄².C₂	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄×C₁₂	480		(C4xC12).10C10	480,930
(C₄×C₁₂).₁₁C₁₀ = C₁₅×C₄⋊Q₈	φ: C₁₀/C₅ → C₂ ⊆ Aut C₄×C₁₂	480		(C4xC12).11C10	480,933

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