Extensions 1→N→G→Q→1 with N=C₂x2₊¹⁺⁴ and Q=C₂

Direct product G=NxQ with N=C₂x2₊¹⁺⁴ and Q=C₂

		d	ρ	Label	ID
C₂²x2₊¹⁺⁴		32		C2^2xES+(2,2)	128,2323

Semidirect products G=N:Q with N=C₂x2₊¹⁺⁴ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂x2₊¹⁺⁴):₁C₂ = C₄oD₄:D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂x2₊¹⁺⁴	32		(C2xES+(2,2)):1C2	128,1740
(C₂x2₊¹⁺⁴):₂C₂ = (C₂xD₄):₂₁D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂x2₊¹⁺⁴	32		(C2xES+(2,2)):2C2	128,1744
(C₂x2₊¹⁺⁴):₃C₂ = C₂xD₄:₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂x2₊¹⁺⁴	16		(C2xES+(2,2)):3C2	128,1746
(C₂x2₊¹⁺⁴):₄C₂ = M₄(2):C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂x2₊¹⁺⁴	16	8+	(C2xES+(2,2)):4C2	128,1751
(C₂x2₊¹⁺⁴):₅C₂ = C₂xC₂wrC₂²	φ: C₂/C₁ → C₂ ⊆ Out C₂x2₊¹⁺⁴	16		(C2xES+(2,2)):5C2	128,1755
(C₂x2₊¹⁺⁴):₆C₂ = C₂⁴:C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂x2₊¹⁺⁴	16	8+	(C2xES+(2,2)):6C2	128,1758
(C₂x2₊¹⁺⁴):₇C₂ = C₂².₇₃C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂x2₊¹⁺⁴	16		(C2xES+(2,2)):7C2	128,2216
(C₂x2₊¹⁺⁴):₈C₂ = C₂².₇₄C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂x2₊¹⁺⁴	32		(C2xES+(2,2)):8C2	128,2217
(C₂x2₊¹⁺⁴):₉C₂ = C₂².₇₇C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂x2₊¹⁺⁴	32		(C2xES+(2,2)):9C2	128,2220
(C₂x2₊¹⁺⁴):₁₀C₂ = C₄:2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂x2₊¹⁺⁴	32		(C2xES+(2,2)):10C2	128,2228
(C₂x2₊¹⁺⁴):₁₁C₂ = C₂².₈₇C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂x2₊¹⁺⁴	32		(C2xES+(2,2)):11C2	128,2230
(C₂x2₊¹⁺⁴):₁₂C₂ = C₂².₈₉C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂x2₊¹⁺⁴	32		(C2xES+(2,2)):12C2	128,2232
(C₂x2₊¹⁺⁴):₁₃C₂ = C₂xD₄oD₈	φ: C₂/C₁ → C₂ ⊆ Out C₂x2₊¹⁺⁴	32		(C2xES+(2,2)):13C2	128,2313
(C₂x2₊¹⁺⁴):₁₄C₂ = C₂xD₄oSD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂x2₊¹⁺⁴	32		(C2xES+(2,2)):14C2	128,2314
(C₂x2₊¹⁺⁴):₁₅C₂ = D₈:C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂x2₊¹⁺⁴	16	8+	(C2xES+(2,2)):15C2	128,2317
(C₂x2₊¹⁺⁴):₁₆C₂ = 2₊¹⁺⁶	φ: C₂/C₁ → C₂ ⊆ Out C₂x2₊¹⁺⁴	16	8+	(C2xES+(2,2)):16C2	128,2326
(C₂x2₊¹⁺⁴):₁₇C₂ = C₂xC₂.C₂⁵	φ: trivial image	32		(C2xES+(2,2)):17C2	128,2325

Non-split extensions G=N.Q with N=C₂x2₊¹⁺⁴ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂x2₊¹⁺⁴).₁C₂ = 2₊¹⁺⁴:₂C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂x2₊¹⁺⁴	32		(C2xES+(2,2)).1C2	128,522
(C₂x2₊¹⁺⁴).₂C₂ = 2₊¹⁺⁴:₃C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂x2₊¹⁺⁴	32		(C2xES+(2,2)).2C2	128,524
(C₂x2₊¹⁺⁴).₃C₂ = C₄oD₄.D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂x2₊¹⁺⁴	16	8+	(C2xES+(2,2)).3C2	128,527
(C₂x2₊¹⁺⁴).₄C₂ = C₂³.C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂x2₊¹⁺⁴	16	8+	(C2xES+(2,2)).4C2	128,1615
(C₂x2₊¹⁺⁴).₅C₂ = M₄(2).₂₄C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂x2₊¹⁺⁴	16	8+	(C2xES+(2,2)).5C2	128,1620
(C₂x2₊¹⁺⁴).₆C₂ = 2₊¹⁺⁴:₅C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂x2₊¹⁺⁴	32		(C2xES+(2,2)).6C2	128,1629
(C₂x2₊¹⁺⁴).₇C₂ = D₄.(C₂xD₄)	φ: C₂/C₁ → C₂ ⊆ Out C₂x2₊¹⁺⁴	32		(C2xES+(2,2)).7C2	128,1741
(C₂x2₊¹⁺⁴).₈C₂ = C₂xD₄.₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂x2₊¹⁺⁴	32		(C2xES+(2,2)).8C2	128,1747
(C₂x2₊¹⁺⁴).₉C₂ = C₂xC₂³.₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂x2₊¹⁺⁴	32		(C2xES+(2,2)).9C2	128,1756
(C₂x2₊¹⁺⁴).₁₀C₂ = C₄x2₊¹⁺⁴	φ: trivial image	32		(C2xES+(2,2)).10C2	128,2161

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