Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂²×M₄(2)

Direct product G=N×Q with N=C₅ and Q=C₂²×M₄(2)

		d	ρ	Label	ID
M₄(2)×C₂×C₁₀		160		M4(2)xC2xC10	320,1568

Semidirect products G=N:Q with N=C₅ and Q=C₂²×M₄(2)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₂²×M₄(2)) = C₂²×C₄.F₅	φ: C₂²×M₄(2)/C₂²×C₄ → C₄ ⊆ Aut C₅	160		C5:1(C2^2xM4(2))	320,1588
C₅⋊₂(C₂²×M₄(2)) = C₂×D₅⋊M₄(2)	φ: C₂²×M₄(2)/C₂²×C₄ → C₄ ⊆ Aut C₅	80		C5:2(C2^2xM4(2))	320,1589
C₅⋊₃(C₂²×M₄(2)) = C₂²×C₂².F₅	φ: C₂²×M₄(2)/C₂⁴ → C₄ ⊆ Aut C₅	160		C5:3(C2^2xM4(2))	320,1606
C₅⋊₄(C₂²×M₄(2)) = C₂²×C₈⋊D₅	φ: C₂²×M₄(2)/C₂²×C₈ → C₂ ⊆ Aut C₅	160		C5:4(C2^2xM4(2))	320,1409
C₅⋊₅(C₂²×M₄(2)) = C₂×D₅×M₄(2)	φ: C₂²×M₄(2)/C₂×M₄(2) → C₂ ⊆ Aut C₅	80		C5:5(C2^2xM4(2))	320,1415
C₅⋊₆(C₂²×M₄(2)) = C₂²×C₄.Dic₅	φ: C₂²×M₄(2)/C₂³×C₄ → C₂ ⊆ Aut C₅	160		C5:6(C2^2xM4(2))	320,1453

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