Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂³.₁₂D₆

Direct product G=N×Q with N=C₅ and Q=C₂³.₁₂D₆

		d	ρ	Label	ID
C₅×C₂³.₁₂D₆		240		C5xC2^3.12D6	480,815

Semidirect products G=N:Q with N=C₅ and Q=C₂³.₁₂D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₂³.₁₂D₆) = C₆₀.₄₄D₄	φ: C₂³.₁₂D₆/C₄×Dic₃ → C₂ ⊆ Aut C₅	240		C5:1(C2^3.12D6)	480,440
C₅⋊₂(C₂³.₁₂D₆) = C₆.(D₄×D₅)	φ: C₂³.₁₂D₆/C₆.D₄ → C₂ ⊆ Aut C₅	240		C5:2(C2^3.12D6)	480,610
C₅⋊₃(C₂³.₁₂D₆) = C₆₀.₈₈D₄	φ: C₂³.₁₂D₆/C₂×Dic₆ → C₂ ⊆ Aut C₅	240		C5:3(C2^3.12D6)	480,444
C₅⋊₄(C₂³.₁₂D₆) = C₆₀.₁₇D₄	φ: C₂³.₁₂D₆/C₆×D₄ → C₂ ⊆ Aut C₅	240		C5:4(C2^3.12D6)	480,901

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