Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂×M₄(2)

Direct product G=N×Q with N=C₅ and Q=C₂×M₄(2)

		d	ρ	Label	ID
C₁₀×M₄(2)		80		C10xM4(2)	160,191

Semidirect products G=N:Q with N=C₅ and Q=C₂×M₄(2)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₂×M₄(2)) = C₂×C₄.F₅	φ: C₂×M₄(2)/C₂×C₄ → C₄ ⊆ Aut C₅	80		C5:1(C2xM4(2))	160,201
C₅⋊₂(C₂×M₄(2)) = D₅⋊M₄(2)	φ: C₂×M₄(2)/C₂×C₄ → C₄ ⊆ Aut C₅	40	4	C5:2(C2xM4(2))	160,202
C₅⋊₃(C₂×M₄(2)) = C₂×C₂².F₅	φ: C₂×M₄(2)/C₂³ → C₄ ⊆ Aut C₅	80		C5:3(C2xM4(2))	160,211
C₅⋊₄(C₂×M₄(2)) = C₂×C₈⋊D₅	φ: C₂×M₄(2)/C₂×C₈ → C₂ ⊆ Aut C₅	80		C5:4(C2xM4(2))	160,121
C₅⋊₅(C₂×M₄(2)) = D₅×M₄(2)	φ: C₂×M₄(2)/M₄(2) → C₂ ⊆ Aut C₅	40	4	C5:5(C2xM4(2))	160,127
C₅⋊₆(C₂×M₄(2)) = C₂×C₄.Dic₅	φ: C₂×M₄(2)/C₂²×C₄ → C₂ ⊆ Aut C₅	80		C5:6(C2xM4(2))	160,142

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