Extensions 1→N→G→Q→1 with N=D₅xM₄(2) and Q=C₂

Direct product G=NxQ with N=D₅xM₄(2) and Q=C₂

		d	ρ	Label	ID
C₂xD₅xM₄(2)		80		C2xD5xM4(2)	320,1415

Semidirect products G=N:Q with N=D₅xM₄(2) and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₅xM₄(2)):₁C₂ = D₅xC₈:C₂²	φ: C₂/C₁ → C₂ ⊆ Out D₅xM₄(2)	40	8+	(D5xM4(2)):1C2	320,1444
(D₅xM₄(2)):₂C₂ = SD₁₆:D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₅xM₄(2)	80	8-	(D5xM4(2)):2C2	320,1445
(D₅xM₄(2)):₃C₂ = D₅xC₈.C₂²	φ: C₂/C₁ → C₂ ⊆ Out D₅xM₄(2)	80	8-	(D5xM4(2)):3C2	320,1448
(D₅xM₄(2)):₄C₂ = D₄₀:C₂²	φ: C₂/C₁ → C₂ ⊆ Out D₅xM₄(2)	80	8+	(D5xM4(2)):4C2	320,1449
(D₅xM₄(2)):₅C₂ = D₅xC₄.D₄	φ: C₂/C₁ → C₂ ⊆ Out D₅xM₄(2)	40	8+	(D5xM4(2)):5C2	320,371
(D₅xM₄(2)):₆C₂ = M₄(2).₁₉D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₅xM₄(2)	80	8-	(D5xM4(2)):6C2	320,372
(D₅xM₄(2)):₇C₂ = M₄(2).₂₁D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₅xM₄(2)	80	8+	(D5xM4(2)):7C2	320,378
(D₅xM₄(2)):₈C₂ = D₅xC₄wrC₂	φ: C₂/C₁ → C₂ ⊆ Out D₅xM₄(2)	40	4	(D5xM4(2)):8C2	320,447
(D₅xM₄(2)):₉C₂ = C₄²:D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₅xM₄(2)	80	4	(D5xM4(2)):9C2	320,448
(D₅xM₄(2)):₁₀C₂ = C₄₀.₄₇C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₅xM₄(2)	80	4	(D5xM4(2)):10C2	320,1417
(D₅xM₄(2)):₁₁C₂ = C₂₀.₇₂C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out D₅xM₄(2)	80	4	(D5xM4(2)):11C2	320,1422
(D₅xM₄(2)):₁₂C₂ = D₅xC₈oD₄	φ: trivial image	80	4	(D5xM4(2)):12C2	320,1421

Non-split extensions G=N.Q with N=D₅xM₄(2) and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₅xM₄(2)).₁C₂ = M₄(2):₁F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅xM₄(2)	40	8	(D5xM4(2)).1C2	320,1065
(D₅xM₄(2)).₂C₂ = M₄(2).₁F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅xM₄(2)	80	8	(D5xM4(2)).2C2	320,1067
(D₅xM₄(2)).₃C₂ = M₄(2):F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅xM₄(2)	40	8	(D5xM4(2)).3C2	320,237
(D₅xM₄(2)).₄C₂ = M₄(2):₃F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅xM₄(2)	40	8	(D5xM4(2)).4C2	320,238
(D₅xM₄(2)).₅C₂ = M₄(2).F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅xM₄(2)	80	8	(D5xM4(2)).5C2	320,239
(D₅xM₄(2)).₆C₂ = M₄(2):₄F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅xM₄(2)	80	8	(D5xM4(2)).6C2	320,240
(D₅xM₄(2)).₇C₂ = D₅xC₄.₁₀D₄	φ: C₂/C₁ → C₂ ⊆ Out D₅xM₄(2)	80	8-	(D5xM4(2)).7C2	320,377
(D₅xM₄(2)).₈C₂ = D₅xC₈.C₄	φ: C₂/C₁ → C₂ ⊆ Out D₅xM₄(2)	80	4	(D5xM4(2)).8C2	320,519
(D₅xM₄(2)).₉C₂ = M₄(2).₂₅D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₅xM₄(2)	80	4	(D5xM4(2)).9C2	320,520
(D₅xM₄(2)).₁₀C₂ = M₄(2)xF₅	φ: C₂/C₁ → C₂ ⊆ Out D₅xM₄(2)	40	8	(D5xM4(2)).10C2	320,1064
(D₅xM₄(2)).₁₁C₂ = M₄(2):₅F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅xM₄(2)	80	8	(D5xM4(2)).11C2	320,1066

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