Extensions 1→N→G→Q→1 with N=C₃ and Q=C₁₀.D₄

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

		d	ρ	Label	ID
C₃×C₁₀.D₄		240		C3xC10.D4	240,41

Semidirect products G=N:Q with N=C₃ and Q=C₁₀.D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₁₀.D₄) = C₃₀.Q₈	φ: C₁₀.D₄/C₂×Dic₅ → C₂ ⊆ Aut C₃	240		C3:1(C10.D4)	240,29
C₃⋊₂(C₁₀.D₄) = Dic₁₅⋊₅C₄	φ: C₁₀.D₄/C₂×Dic₅ → C₂ ⊆ Aut C₃	240		C3:2(C10.D4)	240,30
C₃⋊₃(C₁₀.D₄) = C₃₀.₄Q₈	φ: C₁₀.D₄/C₂×C₂₀ → C₂ ⊆ Aut C₃	240		C3:3(C10.D4)	240,73

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