Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂³.₁₆D₆

Direct product G=N×Q with N=C₅ and Q=C₂³.₁₆D₆

		d	ρ	Label	ID
C₅×C₂³.₁₆D₆		240		C5xC2^3.16D6	480,756

Semidirect products G=N:Q with N=C₅ and Q=C₂³.₁₆D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊(C₂³.₁₆D₆) = C₂²⋊F₅.S₃	φ: C₂³.₁₆D₆/C₂×Dic₃ → C₄ ⊆ Aut C₅	120	8-	C5:(C2^3.16D6)	480,999
C₅⋊₂(C₂³.₁₆D₆) = (D₅×Dic₃)⋊C₄	φ: C₂³.₁₆D₆/C₄×Dic₃ → C₂ ⊆ Aut C₅	240		C5:2(C2^3.16D6)	480,469
C₅⋊₃(C₂³.₁₆D₆) = D₁₀.₁₉(C₄×S₃)	φ: C₂³.₁₆D₆/Dic₃⋊C₄ → C₂ ⊆ Aut C₅	240		C5:3(C2^3.16D6)	480,470
C₅⋊₄(C₂³.₁₆D₆) = C₂³.₄₈(S₃×D₅)	φ: C₂³.₁₆D₆/C₆.D₄ → C₂ ⊆ Aut C₅	240		C5:4(C2^3.16D6)	480,608
C₅⋊₅(C₂³.₁₆D₆) = C₂³.₁₅D₃₀	φ: C₂³.₁₆D₆/C₃×C₂²⋊C₄ → C₂ ⊆ Aut C₅	240		C5:5(C2^3.16D6)	480,842
C₅⋊₆(C₂³.₁₆D₆) = C₂³.₂₆(S₃×D₅)	φ: C₂³.₁₆D₆/C₂²×Dic₃ → C₂ ⊆ Aut C₅	240		C5:6(C2^3.16D6)	480,605

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