Extensions 1→N→G→Q→1 with N=C₅² and Q=M₄(2)

Direct product G=N×Q with N=C₅² and Q=M₄(2)

		d	ρ	Label	ID
M₄(2)×C₅²		200		M4(2)xC5^2	400,112

Semidirect products G=N:Q with N=C₅² and Q=M₄(2)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅²⋊M₄(2) = C₅²⋊M₄(2)	φ: M₄(2)/C₁ → M₄(2) ⊆ Aut C₅²	10	8+	C5^2:M4(2)	400,206
C₅²⋊₂M₄(2) = D₁₀.F₅	φ: M₄(2)/C₂ → C₂×C₄ ⊆ Aut C₅²	80	8-	C5^2:2M4(2)	400,122
C₅²⋊₃M₄(2) = Dic₅.F₅	φ: M₄(2)/C₂ → C₂×C₄ ⊆ Aut C₅²	40	8+	C5^2:3M4(2)	400,123
C₅²⋊₄M₄(2) = C₅²⋊₄M₄(2)	φ: M₄(2)/C₂ → C₂×C₄ ⊆ Aut C₅²	80	8-	C5^2:4M4(2)	400,128
C₅²⋊₅M₄(2) = C₅×C₄.F₅	φ: M₄(2)/C₄ → C₄ ⊆ Aut C₅²	80	4	C5^2:5M4(2)	400,136
C₅²⋊₆M₄(2) = C₂₀.₁₂F₅	φ: M₄(2)/C₄ → C₄ ⊆ Aut C₅²	80	4	C5^2:6M4(2)	400,143
C₅²⋊₇M₄(2) = C₅²⋊₇M₄(2)	φ: M₄(2)/C₄ → C₄ ⊆ Aut C₅²	200		C5^2:7M4(2)	400,150
C₅²⋊₈M₄(2) = C₅²⋊₈M₄(2)	φ: M₄(2)/C₄ → C₄ ⊆ Aut C₅²	40	4	C5^2:8M4(2)	400,157
C₅²⋊₉M₄(2) = C₂₀.₃₀D₁₀	φ: M₄(2)/C₄ → C₂² ⊆ Aut C₅²	80	4	C5^2:9M4(2)	400,62
C₅²⋊₁₀M₄(2) = C₂₀.₃₁D₁₀	φ: M₄(2)/C₄ → C₂² ⊆ Aut C₅²	40	4	C5^2:10M4(2)	400,63
C₅²⋊₁₁M₄(2) = C₅×C₂².F₅	φ: M₄(2)/C₂² → C₄ ⊆ Aut C₅²	40	4	C5^2:11M4(2)	400,140
C₅²⋊₁₂M₄(2) = C₁₀².C₄	φ: M₄(2)/C₂² → C₄ ⊆ Aut C₅²	40	4	C5^2:12M4(2)	400,147
C₅²⋊₁₃M₄(2) = C₅²⋊₁₃M₄(2)	φ: M₄(2)/C₂² → C₄ ⊆ Aut C₅²	200		C5^2:13M4(2)	400,154
C₅²⋊₁₄M₄(2) = C₅²⋊₁₄M₄(2)	φ: M₄(2)/C₂² → C₄ ⊆ Aut C₅²	40	4-	C5^2:14M4(2)	400,161
C₅²⋊₁₅M₄(2) = C₅×C₈⋊D₅	φ: M₄(2)/C₈ → C₂ ⊆ Aut C₅²	80	2	C5^2:15M4(2)	400,77
C₅²⋊₁₆M₄(2) = C₄₀⋊D₅	φ: M₄(2)/C₈ → C₂ ⊆ Aut C₅²	200		C5^2:16M4(2)	400,93
C₅²⋊₁₇M₄(2) = C₅×C₄.Dic₅	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Aut C₅²	40	2	C5^2:17M4(2)	400,82
C₅²⋊₁₈M₄(2) = C₂₀.₅₉D₁₀	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Aut C₅²	200		C5^2:18M4(2)	400,98

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