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		C2xD5xM4(2)	320,1415

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 = D₅×C₈⋊C₂²	φ: C₂/C₁ → C₂ ⊆ Out D₅×M₄(2)	40	8+	(D5xM4(2)):1C2	320,1444
(D₅×M₄(2))⋊₂C₂ = SD₁₆⋊D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₅×M₄(2)	80	8-	(D5xM4(2)):2C2	320,1445
(D₅×M₄(2))⋊₃C₂ = D₅×C₈.C₂²	φ: C₂/C₁ → C₂ ⊆ Out D₅×M₄(2)	80	8-	(D5xM4(2)):3C2	320,1448
(D₅×M₄(2))⋊₄C₂ = D₄₀⋊C₂²	φ: C₂/C₁ → C₂ ⊆ Out D₅×M₄(2)	80	8+	(D5xM4(2)):4C2	320,1449
(D₅×M₄(2))⋊₅C₂ = D₅×C₄.D₄	φ: C₂/C₁ → C₂ ⊆ Out D₅×M₄(2)	40	8+	(D5xM4(2)):5C2	320,371
(D₅×M₄(2))⋊₆C₂ = M₄(2).₁₉D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₅×M₄(2)	80	8-	(D5xM4(2)):6C2	320,372
(D₅×M₄(2))⋊₇C₂ = M₄(2).₂₁D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₅×M₄(2)	80	8+	(D5xM4(2)):7C2	320,378
(D₅×M₄(2))⋊₈C₂ = D₅×C₄≀C₂	φ: C₂/C₁ → C₂ ⊆ Out D₅×M₄(2)	40	4	(D5xM4(2)):8C2	320,447
(D₅×M₄(2))⋊₉C₂ = C₄²⋊D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₅×M₄(2)	80	4	(D5xM4(2)):9C2	320,448
(D₅×M₄(2))⋊₁₀C₂ = C₄₀.₄₇C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₅×M₄(2)	80	4	(D5xM4(2)):10C2	320,1417
(D₅×M₄(2))⋊₁₁C₂ = C₂₀.₇₂C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out D₅×M₄(2)	80	4	(D5xM4(2)):11C2	320,1422
(D₅×M₄(2))⋊₁₂C₂ = D₅×C₈○D₄	φ: trivial image	80	4	(D5xM4(2)):12C2	320,1421

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)⋊₁F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅×M₄(2)	40	8	(D5xM4(2)).1C2	320,1065
(D₅×M₄(2)).₂C₂ = M₄(2).₁F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅×M₄(2)	80	8	(D5xM4(2)).2C2	320,1067
(D₅×M₄(2)).₃C₂ = M₄(2)⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅×M₄(2)	40	8	(D5xM4(2)).3C2	320,237
(D₅×M₄(2)).₄C₂ = M₄(2)⋊₃F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅×M₄(2)	40	8	(D5xM4(2)).4C2	320,238
(D₅×M₄(2)).₅C₂ = M₄(2).F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅×M₄(2)	80	8	(D5xM4(2)).5C2	320,239
(D₅×M₄(2)).₆C₂ = M₄(2)⋊₄F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅×M₄(2)	80	8	(D5xM4(2)).6C2	320,240
(D₅×M₄(2)).₇C₂ = D₅×C₄.₁₀D₄	φ: C₂/C₁ → C₂ ⊆ Out D₅×M₄(2)	80	8-	(D5xM4(2)).7C2	320,377
(D₅×M₄(2)).₈C₂ = D₅×C₈.C₄	φ: C₂/C₁ → C₂ ⊆ Out D₅×M₄(2)	80	4	(D5xM4(2)).8C2	320,519
(D₅×M₄(2)).₉C₂ = M₄(2).₂₅D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₅×M₄(2)	80	4	(D5xM4(2)).9C2	320,520
(D₅×M₄(2)).₁₀C₂ = M₄(2)×F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅×M₄(2)	40	8	(D5xM4(2)).10C2	320,1064
(D₅×M₄(2)).₁₁C₂ = M₄(2)⋊₅F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅×M₄(2)	80	8	(D5xM4(2)).11C2	320,1066

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