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

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

		d	ρ	Label	ID
C₆×C₁₀.D₄		480		C6xC10.D4	480,716

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₂×C₁₀.D₄) = S₃×C₁₀.D₄	φ: C₂×C₁₀.D₄/C₁₀.D₄ → C₂ ⊆ Aut C₃	240		C3:1(C2xC10.D4)	480,475
C₃⋊₂(C₂×C₁₀.D₄) = C₂×C₃₀.Q₈	φ: C₂×C₁₀.D₄/C₂²×Dic₅ → C₂ ⊆ Aut C₃	480		C3:2(C2xC10.D4)	480,617
C₃⋊₃(C₂×C₁₀.D₄) = C₂×Dic₁₅⋊₅C₄	φ: C₂×C₁₀.D₄/C₂²×Dic₅ → C₂ ⊆ Aut C₃	480		C3:3(C2xC10.D4)	480,620
C₃⋊₄(C₂×C₁₀.D₄) = C₂×C₃₀.₄Q₈	φ: C₂×C₁₀.D₄/C₂²×C₂₀ → C₂ ⊆ Aut C₃	480		C3:4(C2xC10.D4)	480,888

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