Extensions 1→N→G→Q→1 with N=C₈○D₄ and Q=C₂²

Direct product G=N×Q with N=C₈○D₄ and Q=C₂²

		d	ρ	Label	ID
C₂²×C₈○D₄		64		C2^2xC8oD4	128,2303

Semidirect products G=N:Q with N=C₈○D₄ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
C₈○D₄⋊₁C₂² = M₄(2).₃₇D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₈○D₄	16	8+	C8oD4:1C2^2	128,1800
C₈○D₄⋊₂C₂² = D₈⋊₁₁D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₈○D₄	16	8+	C8oD4:2C2^2	128,2020
C₈○D₄⋊₃C₂² = D₈.₁₃D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₈○D₄	32	8-	C8oD4:3C2^2	128,2021
C₈○D₄⋊₄C₂² = D₈○SD₁₆	φ: C₂²/C₁ → C₂² ⊆ Out C₈○D₄	32	4	C8oD4:4C2^2	128,2022
C₈○D₄⋊₅C₂² = D₈⋊₆D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₈○D₄	16	4	C8oD4:5C2^2	128,2023
C₈○D₄⋊₆C₂² = D₈○D₈	φ: C₂²/C₁ → C₂² ⊆ Out C₈○D₄	16	4+	C8oD4:6C2^2	128,2024
C₈○D₄⋊₇C₂² = D₈⋊C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₈○D₄	16	8+	C8oD4:7C2^2	128,2317
C₈○D₄⋊₈C₂² = C₄.C₂⁵	φ: C₂²/C₁ → C₂² ⊆ Out C₈○D₄	32	8-	C8oD4:8C2^2	128,2318
C₈○D₄⋊₉C₂² = M₄(2).₅₁D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₈○D₄	16	4	C8oD4:9C2^2	128,1688
C₈○D₄⋊₁₀C₂² = M₄(2)○D₈	φ: C₂²/C₁ → C₂² ⊆ Out C₈○D₄	32	4	C8oD4:10C2^2	128,1689
C₈○D₄⋊₁₁C₂² = C₂×D₄.₃D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₈○D₄	32		C8oD4:11C2^2	128,1796
C₈○D₄⋊₁₂C₂² = C₂×D₄.₄D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₈○D₄	32		C8oD4:12C2^2	128,1797
C₈○D₄⋊₁₃C₂² = C₂×D₄○D₈	φ: C₂²/C₂ → C₂ ⊆ Out C₈○D₄	32		C8oD4:13C2^2	128,2313
C₈○D₄⋊₁₄C₂² = C₂×D₄○SD₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₈○D₄	32		C8oD4:14C2^2	128,2314
C₈○D₄⋊₁₅C₂² = C₂×Q₈○D₈	φ: C₂²/C₂ → C₂ ⊆ Out C₈○D₄	64		C8oD4:15C2^2	128,2315
C₈○D₄⋊₁₆C₂² = C₈.C₂⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₈○D₄	32	4	C8oD4:16C2^2	128,2316
C₈○D₄⋊₁₇C₂² = C₂×C₈○D₈	φ: C₂²/C₂ → C₂ ⊆ Out C₈○D₄	32		C8oD4:17C2^2	128,1685
C₈○D₄⋊₁₈C₂² = C₂×C₈.₂₆D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₈○D₄	32		C8oD4:18C2^2	128,1686
C₈○D₄⋊₁₉C₂² = C₄².₂₈₃C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₈○D₄	32	4	C8oD4:19C2^2	128,1687
C₈○D₄⋊₂₀C₂² = C₂×Q₈○M₄(2)	φ: C₂²/C₂ → C₂ ⊆ Out C₈○D₄	32		C8oD4:20C2^2	128,2304
C₈○D₄⋊₂₁C₂² = C₄.₂₂C₂⁵	φ: C₂²/C₂ → C₂ ⊆ Out C₈○D₄	32	4	C8oD4:21C2^2	128,2305

Non-split extensions G=N.Q with N=C₈○D₄ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
C₈○D₄.₁C₂² = Q₁₆.₁₀D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₈○D₄	32	4+	C8oD4.1C2^2	128,924
C₈○D₄.₂C₂² = Q₁₆.D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₈○D₄	32	4	C8oD4.2C2^2	128,925
C₈○D₄.₃C₂² = D₈.₃D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₈○D₄	32	4	C8oD4.3C2^2	128,926
C₈○D₄.₄C₂² = D₈.₁₂D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₈○D₄	64	4-	C8oD4.4C2^2	128,927
C₈○D₄.₅C₂² = M₄(2).₃₈D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₈○D₄	32	8-	C8oD4.5C2^2	128,1801
C₈○D₄.₆C₂² = D₈○Q₁₆	φ: C₂²/C₁ → C₂² ⊆ Out C₈○D₄	32	4-	C8oD4.6C2^2	128,2025
C₈○D₄.₇C₂² = D₄.₃D₈	φ: C₂²/C₂ → C₂ ⊆ Out C₈○D₄	32	4+	C8oD4.7C2^2	128,953
C₈○D₄.₈C₂² = D₄.₄D₈	φ: C₂²/C₂ → C₂ ⊆ Out C₈○D₄	64	4-	C8oD4.8C2^2	128,954
C₈○D₄.₉C₂² = D₄.₅D₈	φ: C₂²/C₂ → C₂ ⊆ Out C₈○D₄	32	4	C8oD4.9C2^2	128,955
C₈○D₄.₁₀C₂² = C₂×D₄.₅D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₈○D₄	64		C8oD4.10C2^2	128,1798
C₈○D₄.₁₁C₂² = M₄(2).₁₀C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₈○D₄	32	4	C8oD4.11C2^2	128,1799
C₈○D₄.₁₂C₂² = D₄○D₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₈○D₄	32	4+	C8oD4.12C2^2	128,2147
C₈○D₄.₁₃C₂² = D₄○SD₃₂	φ: C₂²/C₂ → C₂ ⊆ Out C₈○D₄	32	4	C8oD4.13C2^2	128,2148
C₈○D₄.₁₄C₂² = Q₈○D₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₈○D₄	64	4-	C8oD4.14C2^2	128,2149
C₈○D₄.₁₅C₂² = C₂×D₄.C₈	φ: C₂²/C₂ → C₂ ⊆ Out C₈○D₄	64		C8oD4.15C2^2	128,848
C₈○D₄.₁₆C₂² = M₅(2)⋊₁₂C₂²	φ: C₂²/C₂ → C₂ ⊆ Out C₈○D₄	32	4	C8oD4.16C2^2	128,849
C₈○D₄.₁₇C₂² = C₁₆○D₈	φ: C₂²/C₂ → C₂ ⊆ Out C₈○D₄	32	2	C8oD4.17C2^2	128,902
C₈○D₄.₁₈C₂² = D₈.C₈	φ: C₂²/C₂ → C₂ ⊆ Out C₈○D₄	32	4	C8oD4.18C2^2	128,903
C₈○D₄.₁₉C₂² = C₂×D₄○C₁₆	φ: trivial image	64		C8oD4.19C2^2	128,2138
C₈○D₄.₂₀C₂² = Q₈○M₅(2)	φ: trivial image	32	4	C8oD4.20C2^2	128,2139

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Extensions 1→N→G→Q→1 with N=C8○D4 and Q=C22

Extensions 1→N→G→Q→1 with N=C₈○D₄ and Q=C₂²