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		64		C2^2xES-(2,2)	128,2324

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 = (C₂xQ₈):₁₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂x2_-¹⁺⁴	32		(C2xES-(2,2)):1C2	128,1742
(C₂x2_-¹⁺⁴):₂C₂ = (C₂xQ₈):₁₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂x2_-¹⁺⁴	64		(C2xES-(2,2)):2C2	128,1745
(C₂x2_-¹⁺⁴):₃C₂ = C₂xD₄.₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂x2_-¹⁺⁴	32		(C2xES-(2,2)):3C2	128,1748
(C₂x2_-¹⁺⁴):₄C₂ = M₄(2).C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂x2_-¹⁺⁴	32	8-	(C2xES-(2,2)):4C2	128,1752
(C₂x2_-¹⁺⁴):₅C₂ = C₂².₇₅C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂x2_-¹⁺⁴	32		(C2xES-(2,2)):5C2	128,2218
(C₂x2_-¹⁺⁴):₆C₂ = C₂².₇₆C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂x2_-¹⁺⁴	32		(C2xES-(2,2)):6C2	128,2219
(C₂x2_-¹⁺⁴):₇C₂ = C₂².₇₈C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂x2_-¹⁺⁴	32		(C2xES-(2,2)):7C2	128,2221
(C₂x2_-¹⁺⁴):₈C₂ = C₄:2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂x2_-¹⁺⁴	64		(C2xES-(2,2)):8C2	128,2229
(C₂x2_-¹⁺⁴):₉C₂ = C₂².₈₈C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂x2_-¹⁺⁴	64		(C2xES-(2,2)):9C2	128,2231
(C₂x2_-¹⁺⁴):₁₀C₂ = C₂².₈₉C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂x2_-¹⁺⁴	32		(C2xES-(2,2)):10C2	128,2232
(C₂x2_-¹⁺⁴):₁₁C₂ = C₂xD₄oSD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂x2_-¹⁺⁴	32		(C2xES-(2,2)):11C2	128,2314
(C₂x2_-¹⁺⁴):₁₂C₂ = C₂xQ₈oD₈	φ: C₂/C₁ → C₂ ⊆ Out C₂x2_-¹⁺⁴	64		(C2xES-(2,2)):12C2	128,2315
(C₂x2_-¹⁺⁴):₁₃C₂ = C₄.C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂x2_-¹⁺⁴	32	8-	(C2xES-(2,2)):13C2	128,2318
(C₂x2_-¹⁺⁴):₁₄C₂ = 2_-¹⁺⁶	φ: C₂/C₁ → C₂ ⊆ Out C₂x2_-¹⁺⁴	32	8-	(C2xES-(2,2)):14C2	128,2327
(C₂x2_-¹⁺⁴):₁₅C₂ = C₂xC₂.C₂⁵	φ: trivial image	32		(C2xES-(2,2)):15C2	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	128,525
(C₂x2_-¹⁺⁴).₂C₂ = (C₂²xQ₈):C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂x2_-¹⁺⁴	32	8-	(C2xES-(2,2)).2C2	128,528
(C₂x2_-¹⁺⁴).₃C₂ = C₂³.₄C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂x2_-¹⁺⁴	32	8-	(C2xES-(2,2)).3C2	128,1616
(C₂x2_-¹⁺⁴).₄C₂ = M₄(2).₂₅C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂x2_-¹⁺⁴	32	8-	(C2xES-(2,2)).4C2	128,1621
(C₂x2_-¹⁺⁴).₅C₂ = 2_-¹⁺⁴:₄C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂x2_-¹⁺⁴	64		(C2xES-(2,2)).5C2	128,1630
(C₂x2_-¹⁺⁴).₆C₂ = Q₈.(C₂xD₄)	φ: C₂/C₁ → C₂ ⊆ Out C₂x2_-¹⁺⁴	64		(C2xES-(2,2)).6C2	128,1743
(C₂x2_-¹⁺⁴).₇C₂ = C₂xD₄.₁₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂x2_-¹⁺⁴	32		(C2xES-(2,2)).7C2	128,1749
(C₂x2_-¹⁺⁴).₈C₂ = C₄x2_-¹⁺⁴	φ: trivial image	64		(C2xES-(2,2)).8C2	128,2162

׿

x

:

Z

F

o

wr

Q

<