Extensions 1→N→G→Q→1 with N=C₂×2₊¹⁺⁴ and Q=C₂

Direct product G=N×Q with N=C₂×2₊¹⁺⁴ and Q=C₂

		d	ρ	Label	ID
C₂²×2₊¹⁺⁴		32		C2^2xES+(2,2)	128,2323

Semidirect products G=N:Q with N=C₂×2₊¹⁺⁴ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×2₊¹⁺⁴)⋊₁C₂ = C₄○D₄⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×2₊¹⁺⁴	32		(C2xES+(2,2)):1C2	128,1740
(C₂×2₊¹⁺⁴)⋊₂C₂ = (C₂×D₄)⋊₂₁D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×2₊¹⁺⁴	32		(C2xES+(2,2)):2C2	128,1744
(C₂×2₊¹⁺⁴)⋊₃C₂ = C₂×D₄⋊₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×2₊¹⁺⁴	16		(C2xES+(2,2)):3C2	128,1746
(C₂×2₊¹⁺⁴)⋊₄C₂ = M₄(2)⋊C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂×2₊¹⁺⁴	16	8+	(C2xES+(2,2)):4C2	128,1751
(C₂×2₊¹⁺⁴)⋊₅C₂ = C₂×C₂≀C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₂×2₊¹⁺⁴	16		(C2xES+(2,2)):5C2	128,1755
(C₂×2₊¹⁺⁴)⋊₆C₂ = C₂⁴⋊C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂×2₊¹⁺⁴	16	8+	(C2xES+(2,2)):6C2	128,1758
(C₂×2₊¹⁺⁴)⋊₇C₂ = C₂².₇₃C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂×2₊¹⁺⁴	16		(C2xES+(2,2)):7C2	128,2216
(C₂×2₊¹⁺⁴)⋊₈C₂ = C₂².₇₄C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂×2₊¹⁺⁴	32		(C2xES+(2,2)):8C2	128,2217
(C₂×2₊¹⁺⁴)⋊₉C₂ = C₂².₇₇C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂×2₊¹⁺⁴	32		(C2xES+(2,2)):9C2	128,2220
(C₂×2₊¹⁺⁴)⋊₁₀C₂ = C₄⋊2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂×2₊¹⁺⁴	32		(C2xES+(2,2)):10C2	128,2228
(C₂×2₊¹⁺⁴)⋊₁₁C₂ = C₂².₈₇C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂×2₊¹⁺⁴	32		(C2xES+(2,2)):11C2	128,2230
(C₂×2₊¹⁺⁴)⋊₁₂C₂ = C₂².₈₉C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂×2₊¹⁺⁴	32		(C2xES+(2,2)):12C2	128,2232
(C₂×2₊¹⁺⁴)⋊₁₃C₂ = C₂×D₄○D₈	φ: C₂/C₁ → C₂ ⊆ Out C₂×2₊¹⁺⁴	32		(C2xES+(2,2)):13C2	128,2313
(C₂×2₊¹⁺⁴)⋊₁₄C₂ = C₂×D₄○SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂×2₊¹⁺⁴	32		(C2xES+(2,2)):14C2	128,2314
(C₂×2₊¹⁺⁴)⋊₁₅C₂ = D₈⋊C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂×2₊¹⁺⁴	16	8+	(C2xES+(2,2)):15C2	128,2317
(C₂×2₊¹⁺⁴)⋊₁₆C₂ = 2₊¹⁺⁶	φ: C₂/C₁ → C₂ ⊆ Out C₂×2₊¹⁺⁴	16	8+	(C2xES+(2,2)):16C2	128,2326
(C₂×2₊¹⁺⁴)⋊₁₇C₂ = C₂×C₂.C₂⁵	φ: trivial image	32		(C2xES+(2,2)):17C2	128,2325

Non-split extensions G=N.Q with N=C₂×2₊¹⁺⁴ and Q=C₂

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

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