Extensions 1→N→G→Q→1 with N=Q₈⋊C₄ and Q=C₂

Direct product G=N×Q with N=Q₈⋊C₄ and Q=C₂

		d	ρ	Label	ID
C₂×Q₈⋊C₄		64		C2xQ8:C4	64,96

Semidirect products G=N:Q with N=Q₈⋊C₄ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
Q₈⋊C₄⋊₁C₂ = C₈⋊₈D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊C₄	32	Q8:C4:1C2	64,146
Q₈⋊C₄⋊₂C₂ = C₈.₁₈D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊C₄	32	Q8:C4:2C2	64,148
Q₈⋊C₄⋊₃C₂ = C₄².₇₈C₂²	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊C₄	32	Q8:C4:3C2	64,169
Q₈⋊C₄⋊₄C₂ = D₄⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊C₄	32	Q8:C4:4C2	64,130
Q₈⋊C₄⋊₅C₂ = C₂²⋊Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊C₄	32	Q8:C4:5C2	64,132
Q₈⋊C₄⋊₆C₂ = D₄.₂D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊C₄	32	Q8:C4:6C2	64,144
Q₈⋊C₄⋊₇C₂ = C₂³.₄₈D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊C₄	32	Q8:C4:7C2	64,165
Q₈⋊C₄⋊₈C₂ = C₂³.₂₀D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊C₄	32	Q8:C4:8C2	64,166
Q₈⋊C₄⋊₉C₂ = Q₈⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊C₄	32	Q8:C4:9C2	64,129
Q₈⋊C₄⋊₁₀C₂ = D₄.₇D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊C₄	32	Q8:C4:10C2	64,133
Q₈⋊C₄⋊₁₁C₂ = D₄.D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊C₄	32	Q8:C4:11C2	64,142
Q₈⋊C₄⋊₁₂C₂ = Q₈.D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊C₄	32	Q8:C4:12C2	64,145
Q₈⋊C₄⋊₁₃C₂ = C₂³.₄₇D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊C₄	32	Q8:C4:13C2	64,164
Q₈⋊C₄⋊₁₄C₂ = C₂³.₃₆D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊C₄	32	Q8:C4:14C2	64,98
Q₈⋊C₄⋊₁₅C₂ = C₂³.₃₈D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊C₄	32	Q8:C4:15C2	64,100
Q₈⋊C₄⋊₁₆C₂ = SD₁₆⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊C₄	32	Q8:C4:16C2	64,121
Q₈⋊C₄⋊₁₇C₂ = C₈⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊C₄	32	Q8:C4:17C2	64,149
Q₈⋊C₄⋊₁₈C₂ = C₈.D₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊C₄	32	Q8:C4:18C2	64,151
Q₈⋊C₄⋊₁₉C₂ = C₄².₂₈C₂²	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊C₄	32	Q8:C4:19C2	64,170
Q₈⋊C₄⋊₂₀C₂ = C₂³.₂₄D₄	φ: trivial image	32	Q8:C4:20C2	64,97
Q₈⋊C₄⋊₂₁C₂ = C₄×SD₁₆	φ: trivial image	32	Q8:C4:21C2	64,119

Non-split extensions G=N.Q with N=Q₈⋊C₄ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
Q₈⋊C₄.₁C₂ = C₄.SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊C₄	64	Q8:C4.1C2	64,168
Q₈⋊C₄.₂C₂ = C₄⋊₂Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊C₄	64	Q8:C4.2C2	64,143
Q₈⋊C₄.₃C₂ = C₄.Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊C₄	64	Q8:C4.3C2	64,158
Q₈⋊C₄.₄C₂ = Q₈⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊C₄	64	Q8:C4.4C2	64,156
Q₈⋊C₄.₅C₂ = Q₈.Q₈	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊C₄	64	Q8:C4.5C2	64,160
Q₈⋊C₄.₆C₂ = Q₁₆⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊C₄	64	Q8:C4.6C2	64,122
Q₈⋊C₄.₇C₂ = C₄².₃₀C₂²	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊C₄	64	Q8:C4.7C2	64,172
Q₈⋊C₄.₈C₂ = C₄×Q₁₆	φ: trivial image	64	Q8:C4.8C2	64,120

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Extensions 1→N→G→Q→1 with N=Q8⋊C4 and Q=C2

Extensions 1→N→G→Q→1 with N=Q₈⋊C₄ and Q=C₂