Extensions 1→N→G→Q→1 with N=C₃⋊D₄ and Q=C₂×C₁₀

Direct product G=N×Q with N=C₃⋊D₄ and Q=C₂×C₁₀

		d	ρ	Label	ID
C₂×C₁₀×C₃⋊D₄		240		C2xC10xC3:D4	480,1164

Semidirect products G=N:Q with N=C₃⋊D₄ and Q=C₂×C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊D₄⋊₁(C₂×C₁₀) = S₃×D₄×C₁₀	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Out C₃⋊D₄	120		C3:D4:1(C2xC10)	480,1154
C₃⋊D₄⋊₂(C₂×C₁₀) = C₁₀×D₄⋊₂S₃	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Out C₃⋊D₄	240		C3:D4:2(C2xC10)	480,1155
C₃⋊D₄⋊₃(C₂×C₁₀) = C₅×D₄⋊₆D₆	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Out C₃⋊D₄	120	4	C3:D4:3(C2xC10)	480,1156
C₃⋊D₄⋊₄(C₂×C₁₀) = C₅×S₃×C₄○D₄	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Out C₃⋊D₄	120	4	C3:D4:4(C2xC10)	480,1160
C₃⋊D₄⋊₅(C₂×C₁₀) = C₅×D₄○D₁₂	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Out C₃⋊D₄	120	4	C3:D4:5(C2xC10)	480,1161
C₃⋊D₄⋊₆(C₂×C₁₀) = C₁₀×C₄○D₁₂	φ: trivial image	240		C3:D4:6(C2xC10)	480,1153

Non-split extensions G=N.Q with N=C₃⋊D₄ and Q=C₂×C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊D₄.(C₂×C₁₀) = C₅×Q₈○D₁₂	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Out C₃⋊D₄	240	4	C3:D4.(C2xC10)	480,1162
C₃⋊D₄.₂(C₂×C₁₀) = C₅×Q₈.₁₅D₆	φ: trivial image	240	4	C3:D4.2(C2xC10)	480,1159

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