Extensions 1→N→G→Q→1 with N=C₁₀ and Q=M₄(2)

Direct product G=N×Q with N=C₁₀ and Q=M₄(2)

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

Semidirect products G=N:Q with N=C₁₀ and Q=M₄(2)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀⋊₁M₄(2) = C₂×C₄.F₅	φ: M₄(2)/C₄ → C₄ ⊆ Aut C₁₀	80		C10:1M4(2)	160,201
C₁₀⋊₂M₄(2) = C₂×C₂².F₅	φ: M₄(2)/C₂² → C₄ ⊆ Aut C₁₀	80		C10:2M4(2)	160,211
C₁₀⋊₃M₄(2) = C₂×C₈⋊D₅	φ: M₄(2)/C₈ → C₂ ⊆ Aut C₁₀	80		C10:3M4(2)	160,121
C₁₀⋊₄M₄(2) = C₂×C₄.Dic₅	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Aut C₁₀	80		C10:4M4(2)	160,142

Non-split extensions G=N.Q with N=C₁₀ and Q=M₄(2)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀.₁M₄(2) = C₂₀⋊C₈	φ: M₄(2)/C₄ → C₄ ⊆ Aut C₁₀	160		C10.1M4(2)	160,76
C₁₀.₂M₄(2) = C₁₀.C₄²	φ: M₄(2)/C₄ → C₄ ⊆ Aut C₁₀	160		C10.2M4(2)	160,77
C₁₀.₃M₄(2) = D₁₀⋊C₈	φ: M₄(2)/C₄ → C₄ ⊆ Aut C₁₀	80		C10.3M4(2)	160,78
C₁₀.₄M₄(2) = Dic₅⋊C₈	φ: M₄(2)/C₂² → C₄ ⊆ Aut C₁₀	160		C10.4M4(2)	160,79
C₁₀.₅M₄(2) = C₂³.₂F₅	φ: M₄(2)/C₂² → C₄ ⊆ Aut C₁₀	80		C10.5M4(2)	160,87
C₁₀.₆M₄(2) = C₂₀.₈Q₈	φ: M₄(2)/C₈ → C₂ ⊆ Aut C₁₀	160		C10.6M4(2)	160,21
C₁₀.₇M₄(2) = C₄₀⋊₈C₄	φ: M₄(2)/C₈ → C₂ ⊆ Aut C₁₀	160		C10.7M4(2)	160,22
C₁₀.₈M₄(2) = D₁₀⋊₁C₈	φ: M₄(2)/C₈ → C₂ ⊆ Aut C₁₀	80		C10.8M4(2)	160,27
C₁₀.₉M₄(2) = C₄².D₅	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Aut C₁₀	160		C10.9M4(2)	160,10
C₁₀.₁₀M₄(2) = C₂₀⋊₃C₈	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Aut C₁₀	160		C10.10M4(2)	160,11
C₁₀.₁₁M₄(2) = C₂₀.₅₅D₄	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Aut C₁₀	80		C10.11M4(2)	160,37
C₁₀.₁₂M₄(2) = C₅×C₈⋊C₄	central extension (φ=1)	160		C10.12M4(2)	160,47
C₁₀.₁₃M₄(2) = C₅×C₂²⋊C₈	central extension (φ=1)	80		C10.13M4(2)	160,48
C₁₀.₁₄M₄(2) = C₅×C₄⋊C₈	central extension (φ=1)	160		C10.14M4(2)	160,55

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