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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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