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

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 = (C₂×Q₈)⋊₁₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×2_-¹⁺⁴	32		(C2xES-(2,2)):1C2	128,1742
(C₂×2_-¹⁺⁴)⋊₂C₂ = (C₂×Q₈)⋊₁₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×2_-¹⁺⁴	64		(C2xES-(2,2)):2C2	128,1745
(C₂×2_-¹⁺⁴)⋊₃C₂ = C₂×D₄.₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×2_-¹⁺⁴	32		(C2xES-(2,2)):3C2	128,1748
(C₂×2_-¹⁺⁴)⋊₄C₂ = M₄(2).C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂×2_-¹⁺⁴	32	8-	(C2xES-(2,2)):4C2	128,1752
(C₂×2_-¹⁺⁴)⋊₅C₂ = C₂².₇₅C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂×2_-¹⁺⁴	32		(C2xES-(2,2)):5C2	128,2218
(C₂×2_-¹⁺⁴)⋊₆C₂ = C₂².₇₆C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂×2_-¹⁺⁴	32		(C2xES-(2,2)):6C2	128,2219
(C₂×2_-¹⁺⁴)⋊₇C₂ = C₂².₇₈C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂×2_-¹⁺⁴	32		(C2xES-(2,2)):7C2	128,2221
(C₂×2_-¹⁺⁴)⋊₈C₂ = C₄⋊2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂×2_-¹⁺⁴	64		(C2xES-(2,2)):8C2	128,2229
(C₂×2_-¹⁺⁴)⋊₉C₂ = C₂².₈₈C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂×2_-¹⁺⁴	64		(C2xES-(2,2)):9C2	128,2231
(C₂×2_-¹⁺⁴)⋊₁₀C₂ = C₂².₈₉C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂×2_-¹⁺⁴	32		(C2xES-(2,2)):10C2	128,2232
(C₂×2_-¹⁺⁴)⋊₁₁C₂ = C₂×D₄○SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂×2_-¹⁺⁴	32		(C2xES-(2,2)):11C2	128,2314
(C₂×2_-¹⁺⁴)⋊₁₂C₂ = C₂×Q₈○D₈	φ: C₂/C₁ → C₂ ⊆ Out C₂×2_-¹⁺⁴	64		(C2xES-(2,2)):12C2	128,2315
(C₂×2_-¹⁺⁴)⋊₁₃C₂ = C₄.C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂×2_-¹⁺⁴	32	8-	(C2xES-(2,2)):13C2	128,2318
(C₂×2_-¹⁺⁴)⋊₁₄C₂ = 2_-¹⁺⁶	φ: C₂/C₁ → C₂ ⊆ Out C₂×2_-¹⁺⁴	32	8-	(C2xES-(2,2)):14C2	128,2327
(C₂×2_-¹⁺⁴)⋊₁₅C₂ = C₂×C₂.C₂⁵	φ: trivial image	32		(C2xES-(2,2)):15C2	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	128,525
(C₂×2_-¹⁺⁴).₂C₂ = (C₂²×Q₈)⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×2_-¹⁺⁴	32	8-	(C2xES-(2,2)).2C2	128,528
(C₂×2_-¹⁺⁴).₃C₂ = C₂³.₄C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂×2_-¹⁺⁴	32	8-	(C2xES-(2,2)).3C2	128,1616
(C₂×2_-¹⁺⁴).₄C₂ = M₄(2).₂₅C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂×2_-¹⁺⁴	32	8-	(C2xES-(2,2)).4C2	128,1621
(C₂×2_-¹⁺⁴).₅C₂ = 2_-¹⁺⁴⋊₄C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×2_-¹⁺⁴	64		(C2xES-(2,2)).5C2	128,1630
(C₂×2_-¹⁺⁴).₆C₂ = Q₈.(C₂×D₄)	φ: C₂/C₁ → C₂ ⊆ Out C₂×2_-¹⁺⁴	64		(C2xES-(2,2)).6C2	128,1743
(C₂×2_-¹⁺⁴).₇C₂ = C₂×D₄.₁₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×2_-¹⁺⁴	32		(C2xES-(2,2)).7C2	128,1749
(C₂×2_-¹⁺⁴).₈C₂ = C₄×2_-¹⁺⁴	φ: trivial image	64		(C2xES-(2,2)).8C2	128,2162

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁