Extensions 1→N→G→Q→1 with N=C₅ and Q=C₆×M₄(2)

Direct product G=N×Q with N=C₅ and Q=C₆×M₄(2)

		d	ρ	Label	ID
M₄(2)×C₃₀		240		M4(2)xC30	480,935

Semidirect products G=N:Q with N=C₅ and Q=C₆×M₄(2)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₆×M₄(2)) = C₆×C₄.F₅	φ: C₆×M₄(2)/C₂×C₁₂ → C₄ ⊆ Aut C₅	240		C5:1(C6xM4(2))	480,1048
C₅⋊₂(C₆×M₄(2)) = C₃×D₅⋊M₄(2)	φ: C₆×M₄(2)/C₂×C₁₂ → C₄ ⊆ Aut C₅	120	4	C5:2(C6xM4(2))	480,1049
C₅⋊₃(C₆×M₄(2)) = C₆×C₂².F₅	φ: C₆×M₄(2)/C₂²×C₆ → C₄ ⊆ Aut C₅	240		C5:3(C6xM4(2))	480,1058
C₅⋊₄(C₆×M₄(2)) = C₆×C₈⋊D₅	φ: C₆×M₄(2)/C₂×C₂₄ → C₂ ⊆ Aut C₅	240		C5:4(C6xM4(2))	480,693
C₅⋊₅(C₆×M₄(2)) = C₃×D₅×M₄(2)	φ: C₆×M₄(2)/C₃×M₄(2) → C₂ ⊆ Aut C₅	120	4	C5:5(C6xM4(2))	480,699
C₅⋊₆(C₆×M₄(2)) = C₆×C₄.Dic₅	φ: C₆×M₄(2)/C₂²×C₁₂ → C₂ ⊆ Aut C₅	240		C5:6(C6xM4(2))	480,714

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