Extensions 1→N→G→Q→1 with N=C₈oD₄ and Q=C₂²

Direct product G=NxQ with N=C₈oD₄ and Q=C₂²

		d	ρ	Label	ID
C₂²xC₈oD₄		64		C2^2xC8oD4	128,2303

Semidirect products G=N:Q with N=C₈oD₄ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
C₈oD₄:₁C₂² = M₄(2).₃₇D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₈oD₄	16	8+	C8oD4:1C2^2	128,1800
C₈oD₄:₂C₂² = D₈:₁₁D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₈oD₄	16	8+	C8oD4:2C2^2	128,2020
C₈oD₄:₃C₂² = D₈.₁₃D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₈oD₄	32	8-	C8oD4:3C2^2	128,2021
C₈oD₄:₄C₂² = D₈oSD₁₆	φ: C₂²/C₁ → C₂² ⊆ Out C₈oD₄	32	4	C8oD4:4C2^2	128,2022
C₈oD₄:₅C₂² = D₈:₆D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₈oD₄	16	4	C8oD4:5C2^2	128,2023
C₈oD₄:₆C₂² = D₈oD₈	φ: C₂²/C₁ → C₂² ⊆ Out C₈oD₄	16	4+	C8oD4:6C2^2	128,2024
C₈oD₄:₇C₂² = D₈:C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₈oD₄	16	8+	C8oD4:7C2^2	128,2317
C₈oD₄:₈C₂² = C₄.C₂⁵	φ: C₂²/C₁ → C₂² ⊆ Out C₈oD₄	32	8-	C8oD4:8C2^2	128,2318
C₈oD₄:₉C₂² = M₄(2).₅₁D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₈oD₄	16	4	C8oD4:9C2^2	128,1688
C₈oD₄:₁₀C₂² = M₄(2)oD₈	φ: C₂²/C₁ → C₂² ⊆ Out C₈oD₄	32	4	C8oD4:10C2^2	128,1689
C₈oD₄:₁₁C₂² = C₂xD₄.₃D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₈oD₄	32		C8oD4:11C2^2	128,1796
C₈oD₄:₁₂C₂² = C₂xD₄.₄D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₈oD₄	32		C8oD4:12C2^2	128,1797
C₈oD₄:₁₃C₂² = C₂xD₄oD₈	φ: C₂²/C₂ → C₂ ⊆ Out C₈oD₄	32		C8oD4:13C2^2	128,2313
C₈oD₄:₁₄C₂² = C₂xD₄oSD₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₈oD₄	32		C8oD4:14C2^2	128,2314
C₈oD₄:₁₅C₂² = C₂xQ₈oD₈	φ: C₂²/C₂ → C₂ ⊆ Out C₈oD₄	64		C8oD4:15C2^2	128,2315
C₈oD₄:₁₆C₂² = C₈.C₂⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₈oD₄	32	4	C8oD4:16C2^2	128,2316
C₈oD₄:₁₇C₂² = C₂xC₈oD₈	φ: C₂²/C₂ → C₂ ⊆ Out C₈oD₄	32		C8oD4:17C2^2	128,1685
C₈oD₄:₁₈C₂² = C₂xC₈.₂₆D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₈oD₄	32		C8oD4:18C2^2	128,1686
C₈oD₄:₁₉C₂² = C₄².₂₈₃C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₈oD₄	32	4	C8oD4:19C2^2	128,1687
C₈oD₄:₂₀C₂² = C₂xQ₈oM₄(2)	φ: C₂²/C₂ → C₂ ⊆ Out C₈oD₄	32		C8oD4:20C2^2	128,2304
C₈oD₄:₂₁C₂² = C₄.₂₂C₂⁵	φ: C₂²/C₂ → C₂ ⊆ Out C₈oD₄	32	4	C8oD4:21C2^2	128,2305

Non-split extensions G=N.Q with N=C₈oD₄ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
C₈oD₄.₁C₂² = Q₁₆.₁₀D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₈oD₄	32	4+	C8oD4.1C2^2	128,924
C₈oD₄.₂C₂² = Q₁₆.D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₈oD₄	32	4	C8oD4.2C2^2	128,925
C₈oD₄.₃C₂² = D₈.₃D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₈oD₄	32	4	C8oD4.3C2^2	128,926
C₈oD₄.₄C₂² = D₈.₁₂D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₈oD₄	64	4-	C8oD4.4C2^2	128,927
C₈oD₄.₅C₂² = M₄(2).₃₈D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₈oD₄	32	8-	C8oD4.5C2^2	128,1801
C₈oD₄.₆C₂² = D₈oQ₁₆	φ: C₂²/C₁ → C₂² ⊆ Out C₈oD₄	32	4-	C8oD4.6C2^2	128,2025
C₈oD₄.₇C₂² = D₄.₃D₈	φ: C₂²/C₂ → C₂ ⊆ Out C₈oD₄	32	4+	C8oD4.7C2^2	128,953
C₈oD₄.₈C₂² = D₄.₄D₈	φ: C₂²/C₂ → C₂ ⊆ Out C₈oD₄	64	4-	C8oD4.8C2^2	128,954
C₈oD₄.₉C₂² = D₄.₅D₈	φ: C₂²/C₂ → C₂ ⊆ Out C₈oD₄	32	4	C8oD4.9C2^2	128,955
C₈oD₄.₁₀C₂² = C₂xD₄.₅D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₈oD₄	64		C8oD4.10C2^2	128,1798
C₈oD₄.₁₁C₂² = M₄(2).₁₀C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₈oD₄	32	4	C8oD4.11C2^2	128,1799
C₈oD₄.₁₂C₂² = D₄oD₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₈oD₄	32	4+	C8oD4.12C2^2	128,2147
C₈oD₄.₁₃C₂² = D₄oSD₃₂	φ: C₂²/C₂ → C₂ ⊆ Out C₈oD₄	32	4	C8oD4.13C2^2	128,2148
C₈oD₄.₁₄C₂² = Q₈oD₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₈oD₄	64	4-	C8oD4.14C2^2	128,2149
C₈oD₄.₁₅C₂² = C₂xD₄.C₈	φ: C₂²/C₂ → C₂ ⊆ Out C₈oD₄	64		C8oD4.15C2^2	128,848
C₈oD₄.₁₆C₂² = M₅(2):₁₂C₂²	φ: C₂²/C₂ → C₂ ⊆ Out C₈oD₄	32	4	C8oD4.16C2^2	128,849
C₈oD₄.₁₇C₂² = C₁₆oD₈	φ: C₂²/C₂ → C₂ ⊆ Out C₈oD₄	32	2	C8oD4.17C2^2	128,902
C₈oD₄.₁₈C₂² = D₈.C₈	φ: C₂²/C₂ → C₂ ⊆ Out C₈oD₄	32	4	C8oD4.18C2^2	128,903
C₈oD₄.₁₉C₂² = C₂xD₄oC₁₆	φ: trivial image	64		C8oD4.19C2^2	128,2138
C₈oD₄.₂₀C₂² = Q₈oM₅(2)	φ: trivial image	32	4	C8oD4.20C2^2	128,2139

Extensions 1→N→G→Q→1 with N=C8oD4 and Q=C22

Extensions 1→N→G→Q→1 with N=C₈oD₄ and Q=C₂²