Extensions 1→N→G→Q→1 with N=D₅:M₄(2) and Q=C₂

Direct product G=NxQ with N=D₅:M₄(2) and Q=C₂

		d	ρ	Label	ID
C₂xD₅:M₄(2)		80		C2xD5:M4(2)	320,1589

Semidirect products G=N:Q with N=D₅:M₄(2) and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₅:M₄(2):₁C₂ = (D₄xC₁₀):C₄	φ: C₂/C₁ → C₂ ⊆ Out D₅:M₄(2)	40	8+	D5:M4(2):1C2	320,1105
D₅:M₄(2):₂C₂ = (C₂xD₄):₆F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅:M₄(2)	80	8-	D5:M4(2):2C2	320,1107
D₅:M₄(2):₃C₂ = D₅:(C₄.D₄)	φ: C₂/C₁ → C₂ ⊆ Out D₅:M₄(2)	40	8+	D5:M4(2):3C2	320,1116
D₅:M₄(2):₄C₂ = (C₂xQ₈):₆F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅:M₄(2)	80	8+	D5:M4(2):4C2	320,1122
D₅:M₄(2):₅C₂ = D₅:C₄wrC₂	φ: C₂/C₁ → C₂ ⊆ Out D₅:M₄(2)	40	8	D5:M4(2):5C2	320,1130
D₅:M₄(2):₆C₂ = C₄oD₄:F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅:M₄(2)	40	8	D5:M4(2):6C2	320,1131
D₅:M₄(2):₇C₂ = Dic₅.C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out D₅:M₄(2)	80	8-	D5:M4(2):7C2	320,1594
D₅:M₄(2):₈C₂ = Dic₅.₂₀C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out D₅:M₄(2)	80	8+	D5:M4(2):8C2	320,1598
D₅:M₄(2):₉C₂ = Dic₅.₂₁C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out D₅:M₄(2)	80	8	D5:M4(2):9C2	320,1601
D₅:M₄(2):₁₀C₂ = Dic₅.₂₂C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out D₅:M₄(2)	80	8	D5:M4(2):10C2	320,1602
D₅:M₄(2):₁₁C₂ = (C₄xD₅).D₄	φ: C₂/C₁ → C₂ ⊆ Out D₅:M₄(2)	80	4	D5:M4(2):11C2	320,1099

Non-split extensions G=N.Q with N=D₅:M₄(2) and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₅:M₄(2).₁C₂ = M₄(2):F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅:M₄(2)	40	8	D5:M4(2).1C2	320,237
D₅:M₄(2).₂C₂ = M₄(2).F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅:M₄(2)	80	8	D5:M4(2).2C2	320,239
D₅:M₄(2).₃C₂ = M₄(2)xF₅	φ: C₂/C₁ → C₂ ⊆ Out D₅:M₄(2)	40	8	D5:M4(2).3C2	320,1064
D₅:M₄(2).₄C₂ = M₄(2).₁F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅:M₄(2)	80	8	D5:M4(2).4C2	320,1067
D₅:M₄(2).₅C₂ = (C₂xQ₈):₄F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅:M₄(2)	80	8-	D5:M4(2).5C2	320,1120
D₅:M₄(2).₆C₂ = (C₂xQ₈).₇F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅:M₄(2)	80	8-	D5:M4(2).6C2	320,1127
D₅:M₄(2).₇C₂ = C₄²:₆F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅:M₄(2)	40	4	D5:M4(2).7C2	320,200
D₅:M₄(2).₈C₂ = C₄²:₃F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅:M₄(2)	80	4	D5:M4(2).8C2	320,201
D₅:M₄(2).₉C₂ = (C₂xC₈):F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅:M₄(2)	80	4	D5:M4(2).9C2	320,232
D₅:M₄(2).₁₀C₂ = C₂₀.₂₅C₄²	φ: C₂/C₁ → C₂ ⊆ Out D₅:M₄(2)	80	4	D5:M4(2).10C2	320,235
D₅:M₄(2).₁₁C₂ = (C₈xD₅).C₄	φ: C₂/C₁ → C₂ ⊆ Out D₅:M₄(2)	80	4	D5:M4(2).11C2	320,1062
D₅:M₄(2).₁₂C₂ = C₂₀.₁₂C₄²	φ: trivial image	80	4	D5:M4(2).12C2	320,1056

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