C_n D_n S_n A_n ...

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

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