Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂³.₂₁D₆

Direct product G=N×Q with N=C₅ and Q=C₂³.₂₁D₆

		d	ρ	Label	ID
C₅×C₂³.₂₁D₆		240		C5xC2^3.21D6	480,765

Semidirect products G=N:Q with N=C₅ and Q=C₂³.₂₁D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₂³.₂₁D₆) = D₁₀.₁₆D₁₂	φ: C₂³.₂₁D₆/C₄⋊Dic₃ → C₂ ⊆ Aut C₅	240		C5:1(C2^3.21D6)	480,489
C₅⋊₂(C₂³.₂₁D₆) = D₁₀.₁₇D₁₂	φ: C₂³.₂₁D₆/D₆⋊C₄ → C₂ ⊆ Aut C₅	240		C5:2(C2^3.21D6)	480,490
C₅⋊₃(C₂³.₂₁D₆) = C₂².D₆₀	φ: C₂³.₂₁D₆/C₃×C₂²⋊C₄ → C₂ ⊆ Aut C₅	240		C5:3(C2^3.21D6)	480,851
C₅⋊₄(C₂³.₂₁D₆) = C₁₀.(C₂×D₁₂)	φ: C₂³.₂₁D₆/C₂²×Dic₃ → C₂ ⊆ Aut C₅	240		C5:4(C2^3.21D6)	480,618
C₅⋊₅(C₂³.₂₁D₆) = (C₂×C₁₀).D₁₂	φ: C₂³.₂₁D₆/C₂×C₃⋊D₄ → C₂ ⊆ Aut C₅	240		C5:5(C2^3.21D6)	480,619

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