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		32		C2^2xES+(2,2)	128,2323

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 = D₄≀C₂	φ: C₂²/C₁ → C₂² ⊆ Out 2₊¹⁺⁴	8	4+	ES+(2,2):1C2^2	128,928
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⋊₆D₄	φ: C₂²/C₁ → C₂² ⊆ Out 2₊¹⁺⁴	16	4	ES+(2,2):3C2^2	128,2023
2₊¹⁺⁴⋊₄C₂² = D₈○D₈	φ: C₂²/C₁ → C₂² ⊆ Out 2₊¹⁺⁴	16	4+	ES+(2,2):4C2^2	128,2024
2₊¹⁺⁴⋊₅C₂² = C₂×D₄⋊₄D₄	φ: C₂²/C₂ → C₂ ⊆ Out 2₊¹⁺⁴	16		ES+(2,2):5C2^2	128,1746
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×C₂≀C₂²	φ: C₂²/C₂ → C₂ ⊆ Out 2₊¹⁺⁴	16		ES+(2,2):7C2^2	128,1755
2₊¹⁺⁴⋊₈C₂² = C₂×D₄○D₈	φ: C₂²/C₂ → C₂ ⊆ Out 2₊¹⁺⁴	32		ES+(2,2):8C2^2	128,2313
2₊¹⁺⁴⋊₉C₂² = C₂×D₄○SD₁₆	φ: C₂²/C₂ → C₂ ⊆ Out 2₊¹⁺⁴	32		ES+(2,2):9C2^2	128,2314
2₊¹⁺⁴⋊₁₀C₂² = C₈.C₂⁴	φ: C₂²/C₂ → C₂ ⊆ Out 2₊¹⁺⁴	32	4	ES+(2,2):10C2^2	128,2316
2₊¹⁺⁴⋊₁₁C₂² = D₈⋊C₂³	φ: C₂²/C₂ → C₂ ⊆ Out 2₊¹⁺⁴	16	8+	ES+(2,2):11C2^2	128,2317
2₊¹⁺⁴⋊₁₂C₂² = C₄.C₂⁵	φ: C₂²/C₂ → C₂ ⊆ Out 2₊¹⁺⁴	32	8-	ES+(2,2):12C2^2	128,2318
2₊¹⁺⁴⋊₁₃C₂² = C₂×C₂.C₂⁵	φ: trivial image	32		ES+(2,2):13C2^2	128,2325
2₊¹⁺⁴⋊₁₄C₂² = 2₊¹⁺⁶	φ: trivial image	16	8+	ES+(2,2):14C2^2	128,2326
2₊¹⁺⁴⋊₁₅C₂² = 2_-¹⁺⁶	φ: trivial image	32	8-	ES+(2,2):15C2^2	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⋊₄D₄	φ: C₂²/C₁ → C₂² ⊆ Out 2₊¹⁺⁴	16	4	ES+(2,2).1C2^2	128,929
2₊¹⁺⁴.₂C₂² = C₄².₁₃D₄	φ: C₂²/C₁ → C₂² ⊆ Out 2₊¹⁺⁴	16	4	ES+(2,2).2C2^2	128,930
2₊¹⁺⁴.₃C₂² = C₄²⋊₅D₄	φ: C₂²/C₁ → C₂² ⊆ Out 2₊¹⁺⁴	16	8+	ES+(2,2).3C2^2	128,931
2₊¹⁺⁴.₄C₂² = C₄²⋊₆D₄	φ: C₂²/C₁ → C₂² ⊆ Out 2₊¹⁺⁴	16	8+	ES+(2,2).4C2^2	128,932
2₊¹⁺⁴.₅C₂² = C₄².₁₄D₄	φ: C₂²/C₁ → C₂² ⊆ Out 2₊¹⁺⁴	32	8-	ES+(2,2).5C2^2	128,933
2₊¹⁺⁴.₆C₂² = D₈.₁₃D₄	φ: C₂²/C₁ → C₂² ⊆ Out 2₊¹⁺⁴	32	8-	ES+(2,2).6C2^2	128,2021
2₊¹⁺⁴.₇C₂² = D₈○SD₁₆	φ: C₂²/C₁ → C₂² ⊆ Out 2₊¹⁺⁴	32	4	ES+(2,2).7C2^2	128,2022
2₊¹⁺⁴.₈C₂² = C₂×D₄.₉D₄	φ: C₂²/C₂ → C₂ ⊆ Out 2₊¹⁺⁴	32		ES+(2,2).8C2^2	128,1747
2₊¹⁺⁴.₉C₂² = C₄².₃₁₃C₂³	φ: C₂²/C₂ → C₂ ⊆ Out 2₊¹⁺⁴	16	4	ES+(2,2).9C2^2	128,1750
2₊¹⁺⁴.₁₀C₂² = M₄(2)⋊C₂³	φ: C₂²/C₂ → C₂ ⊆ Out 2₊¹⁺⁴	16	8+	ES+(2,2).10C2^2	128,1751
2₊¹⁺⁴.₁₁C₂² = C₄².₁₃C₂³	φ: C₂²/C₂ → C₂ ⊆ Out 2₊¹⁺⁴	32	8-	ES+(2,2).11C2^2	128,1754
2₊¹⁺⁴.₁₂C₂² = C₂×C₂³.₇D₄	φ: C₂²/C₂ → C₂ ⊆ Out 2₊¹⁺⁴	32		ES+(2,2).12C2^2	128,1756
2₊¹⁺⁴.₁₃C₂² = C₂³.₇C₂⁴	φ: C₂²/C₂ → C₂ ⊆ Out 2₊¹⁺⁴	16	4	ES+(2,2).13C2^2	128,1757
2₊¹⁺⁴.₁₄C₂² = C₂⁴⋊C₂³	φ: C₂²/C₂ → C₂ ⊆ Out 2₊¹⁺⁴	16	8+	ES+(2,2).14C2^2	128,1758
2₊¹⁺⁴.₁₅C₂² = C₂³.₉C₂⁴	φ: C₂²/C₂ → C₂ ⊆ Out 2₊¹⁺⁴	16	8+	ES+(2,2).15C2^2	128,1759
2₊¹⁺⁴.₁₆C₂² = C₂³.₁₀C₂⁴	φ: C₂²/C₂ → C₂ ⊆ Out 2₊¹⁺⁴	32	8-	ES+(2,2).16C2^2	128,1760

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