Extensions 1→N→G→Q→1 with N=C₄○D₁₂ and Q=C₁₀

Direct product G=N×Q with N=C₄○D₁₂ and Q=C₁₀

		d	ρ	Label	ID
C₁₀×C₄○D₁₂		240		C10xC4oD12	480,1153

Semidirect products G=N:Q with N=C₄○D₁₂ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
C₄○D₁₂⋊₁C₁₀ = C₅×C₄○D₂₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₄○D₁₂	240	2	C4oD12:1C10	480,783
C₄○D₁₂⋊₂C₁₀ = C₅×C₈⋊D₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₄○D₁₂	120	4	C4oD12:2C10	480,787
C₄○D₁₂⋊₃C₁₀ = C₅×D₁₂⋊₆C₂²	φ: C₁₀/C₅ → C₂ ⊆ Out C₄○D₁₂	120	4	C4oD12:3C10	480,811
C₄○D₁₂⋊₄C₁₀ = C₅×Q₈.₁₃D₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₄○D₁₂	240	4	C4oD12:4C10	480,829
C₄○D₁₂⋊₅C₁₀ = C₅×D₄⋊₆D₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₄○D₁₂	120	4	C4oD12:5C10	480,1156
C₄○D₁₂⋊₆C₁₀ = C₅×Q₈.₁₅D₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₄○D₁₂	240	4	C4oD12:6C10	480,1159
C₄○D₁₂⋊₇C₁₀ = C₅×S₃×C₄○D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₄○D₁₂	120	4	C4oD12:7C10	480,1160
C₄○D₁₂⋊₈C₁₀ = C₅×D₄○D₁₂	φ: C₁₀/C₅ → C₂ ⊆ Out C₄○D₁₂	120	4	C4oD12:8C10	480,1161
C₄○D₁₂⋊₉C₁₀ = C₅×Q₈○D₁₂	φ: C₁₀/C₅ → C₂ ⊆ Out C₄○D₁₂	240	4	C4oD12:9C10	480,1162

Non-split extensions G=N.Q with N=C₄○D₁₂ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
C₄○D₁₂.₁C₁₀ = C₅×C₄²⋊₄S₃	φ: C₁₀/C₅ → C₂ ⊆ Out C₄○D₁₂	120	2	C4oD12.1C10	480,124
C₄○D₁₂.₂C₁₀ = C₅×D₁₂⋊C₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₄○D₁₂	120	4	C4oD12.2C10	480,144
C₄○D₁₂.₃C₁₀ = C₅×D₁₂.C₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₄○D₁₂	240	4	C4oD12.3C10	480,786
C₄○D₁₂.₄C₁₀ = C₅×C₈.D₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₄○D₁₂	240	4	C4oD12.4C10	480,788
C₄○D₁₂.₅C₁₀ = C₅×Q₈.₁₁D₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₄○D₁₂	240	4	C4oD12.5C10	480,821
C₄○D₁₂.₆C₁₀ = C₅×C₈○D₁₂	φ: trivial image	240	2	C4oD12.6C10	480,780

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