Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂×C₆.D₄

Direct product G=N×Q with N=C₅ and Q=C₂×C₆.D₄

		d	ρ	Label	ID
C₁₀×C₆.D₄		240		C10xC6.D4	480,831

Semidirect products G=N:Q with N=C₅ and Q=C₂×C₆.D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊(C₂×C₆.D₄) = C₂×D₁₀.D₆	φ: C₂×C₆.D₄/C₂²×C₆ → C₄ ⊆ Aut C₅	120		C5:(C2xC6.D4)	480,1072
C₅⋊₂(C₂×C₆.D₄) = D₅×C₆.D₄	φ: C₂×C₆.D₄/C₆.D₄ → C₂ ⊆ Aut C₅	120		C5:2(C2xC6.D4)	480,623
C₅⋊₃(C₂×C₆.D₄) = C₂×D₁₀⋊Dic₃	φ: C₂×C₆.D₄/C₂²×Dic₃ → C₂ ⊆ Aut C₅	240		C5:3(C2xC6.D4)	480,611
C₅⋊₄(C₂×C₆.D₄) = C₂×C₃₀.₃₈D₄	φ: C₂×C₆.D₄/C₂³×C₆ → C₂ ⊆ Aut C₅	240		C5:4(C2xC6.D4)	480,917

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