C_n D_n S_n A_n ...

Extensions 1→N→G→Q→1 with N=2_-⁽¹⁺⁴⁾ and Q=C₂²

Direct product G=N×Q with N=2_-⁽¹⁺⁴⁾ and Q=C₂²

		d	ρ	Label	ID
C₂²×2_-⁽¹⁺⁴⁾		64		C2^2xES-(2,2)	128,2324

Semidirect products G=N:Q with N=2_-⁽¹⁺⁴⁾ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
2_-⁽¹⁺⁴⁾⋊₁C₂² = C₄².₁₅D₄	φ: C₂²/C₁ → C₂² ⊆ Out 2_-⁽¹⁺⁴⁾	16	8+	ES-(2,2):1C2^2	128,934
2_-⁽¹⁺⁴⁾⋊₂C₂² = D₈⋊₁₁D₄	φ: C₂²/C₁ → C₂² ⊆ Out 2_-⁽¹⁺⁴⁾	16	8+	ES-(2,2):2C2^2	128,2020
2_-⁽¹⁺⁴⁾⋊₃C₂² = D₈.₁₃D₄	φ: C₂²/C₁ → C₂² ⊆ Out 2_-⁽¹⁺⁴⁾	32	8-	ES-(2,2):3C2^2	128,2021
2_-⁽¹⁺⁴⁾⋊₄C₂² = D₈○SD₁₆	φ: C₂²/C₁ → C₂² ⊆ Out 2_-⁽¹⁺⁴⁾	32	4	ES-(2,2):4C2^2	128,2022
2_-⁽¹⁺⁴⁾⋊₅C₂² = C₂×D₄.₈D₄	φ: C₂²/C₂ → C₂ ⊆ Out 2_-⁽¹⁺⁴⁾	32		ES-(2,2):5C2^2	128,1748
2_-⁽¹⁺⁴⁾⋊₆C₂² = C₄².₁₂C₂³	φ: C₂²/C₂ → C₂ ⊆ Out 2_-⁽¹⁺⁴⁾	16	8+	ES-(2,2):6C2^2	128,1753
2_-⁽¹⁺⁴⁾⋊₇C₂² = C₂×D₄○SD₁₆	φ: C₂²/C₂ → C₂ ⊆ Out 2_-⁽¹⁺⁴⁾	32		ES-(2,2):7C2^2	128,2314
2_-⁽¹⁺⁴⁾⋊₈C₂² = C₂×Q₈○D₈	φ: C₂²/C₂ → C₂ ⊆ Out 2_-⁽¹⁺⁴⁾	64		ES-(2,2):8C2^2	128,2315
2_-⁽¹⁺⁴⁾⋊₉C₂² = C₈.C₂⁴	φ: C₂²/C₂ → C₂ ⊆ Out 2_-⁽¹⁺⁴⁾	32	4	ES-(2,2):9C2^2	128,2316
2_-⁽¹⁺⁴⁾⋊₁₀C₂² = D₈⋊C₂³	φ: C₂²/C₂ → C₂ ⊆ Out 2_-⁽¹⁺⁴⁾	16	8+	ES-(2,2):10C2^2	128,2317
2_-⁽¹⁺⁴⁾⋊₁₁C₂² = C₄.C₂⁵	φ: C₂²/C₂ → C₂ ⊆ Out 2_-⁽¹⁺⁴⁾	32	8-	ES-(2,2):11C2^2	128,2318
2_-⁽¹⁺⁴⁾⋊₁₂C₂² = C₂×C₂.C₂⁵	φ: trivial image	32		ES-(2,2):12C2^2	128,2325
2_-⁽¹⁺⁴⁾⋊₁₃C₂² = 2₊⁽¹⁺⁶⁾	φ: trivial image	16	8+	ES-(2,2):13C2^2	128,2326
2_-⁽¹⁺⁴⁾⋊₁₄C₂² = 2_-⁽¹⁺⁶⁾	φ: trivial image	32	8-	ES-(2,2):14C2^2	128,2327

Non-split extensions G=N.Q with N=2_-⁽¹⁺⁴⁾ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
2_-⁽¹⁺⁴⁾.₁C₂² = C₄².₁₆D₄	φ: C₂²/C₁ → C₂² ⊆ Out 2_-⁽¹⁺⁴⁾	32	8-	ES-(2,2).1C2^2	128,935
2_-⁽¹⁺⁴⁾.₂C₂² = C₄².₁₇D₄	φ: C₂²/C₁ → C₂² ⊆ Out 2_-⁽¹⁺⁴⁾	16	4	ES-(2,2).2C2^2	128,936
2_-⁽¹⁺⁴⁾.₃C₂² = Q₈≀C₂	φ: C₂²/C₁ → C₂² ⊆ Out 2_-⁽¹⁺⁴⁾	16	4-	ES-(2,2).3C2^2	128,937
2_-⁽¹⁺⁴⁾.₄C₂² = D₈⋊₆D₄	φ: C₂²/C₁ → C₂² ⊆ Out 2_-⁽¹⁺⁴⁾	16	4	ES-(2,2).4C2^2	128,2023
2_-⁽¹⁺⁴⁾.₅C₂² = D₈○Q₁₆	φ: C₂²/C₁ → C₂² ⊆ Out 2_-⁽¹⁺⁴⁾	32	4-	ES-(2,2).5C2^2	128,2025
2_-⁽¹⁺⁴⁾.₆C₂² = C₂×D₄.₁₀D₄	φ: C₂²/C₂ → C₂ ⊆ Out 2_-⁽¹⁺⁴⁾	32		ES-(2,2).6C2^2	128,1749
2_-⁽¹⁺⁴⁾.₇C₂² = C₄².₃₁₃C₂³	φ: C₂²/C₂ → C₂ ⊆ Out 2_-⁽¹⁺⁴⁾	16	4	ES-(2,2).7C2^2	128,1750
2_-⁽¹⁺⁴⁾.₈C₂² = M₄(2).C₂³	φ: C₂²/C₂ → C₂ ⊆ Out 2_-⁽¹⁺⁴⁾	32	8-	ES-(2,2).8C2^2	128,1752
2_-⁽¹⁺⁴⁾.₉C₂² = C₄².₁₃C₂³	φ: C₂²/C₂ → C₂ ⊆ Out 2_-⁽¹⁺⁴⁾	32	8-	ES-(2,2).9C2^2	128,1754

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