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

Direct product G=N×Q with N=D₅⋊M₄(2) and Q=C₂

		d	ρ	Label	ID
C₂×D₅⋊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 = (D₄×C₁₀)⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out D₅⋊M₄(2)	40	8+	D5:M4(2):1C2	320,1105
D₅⋊M₄(2)⋊₂C₂ = (C₂×D₄)⋊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 = (C₂×Q₈)⋊₆F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅⋊M₄(2)	80	8+	D5:M4(2):4C2	320,1122
D₅⋊M₄(2)⋊₅C₂ = D₅⋊C₄≀C₂	φ: C₂/C₁ → C₂ ⊆ Out D₅⋊M₄(2)	40	8	D5:M4(2):5C2	320,1130
D₅⋊M₄(2)⋊₆C₂ = C₄○D₄⋊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 = (C₄×D₅).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)×F₅	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 = (C₂×Q₈)⋊₄F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅⋊M₄(2)	80	8-	D5:M4(2).5C2	320,1120
D₅⋊M₄(2).₆C₂ = (C₂×Q₈).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 = (C₂×C₈)⋊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 = (C₈×D₅).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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