Extensions 1→N→G→Q→1 with N=C₄⋊C₈ and Q=C₂

Direct product G=N×Q with N=C₄⋊C₈ and Q=C₂

		d	ρ	Label	ID
C₂×C₄⋊C₈		64		C2xC4:C8	64,103

Semidirect products G=N:Q with N=C₄⋊C₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₄⋊C₈⋊₁C₂ = D₄⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊C₈	32		C4:C8:1C2	64,6
C₄⋊C₈⋊₂C₂ = C₄.D₈	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊C₈	32		C4:C8:2C2	64,12
C₄⋊C₈⋊₃C₂ = C₄⋊D₈	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊C₈	32		C4:C8:3C2	64,140
C₄⋊C₈⋊₄C₂ = D₄⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊C₈	32		C4:C8:4C2	64,155
C₄⋊C₈⋊₅C₂ = D₄.₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊C₈	32		C4:C8:5C2	64,144
C₄⋊C₈⋊₆C₂ = Q₈.D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊C₈	32		C4:C8:6C2	64,145
C₄⋊C₈⋊₇C₂ = D₄.Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊C₈	32		C4:C8:7C2	64,159
C₄⋊C₈⋊₈C₂ = C₄⋊SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊C₈	32		C4:C8:8C2	64,141
C₄⋊C₈⋊₉C₂ = D₄.D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊C₈	32		C4:C8:9C2	64,142
C₄⋊C₈⋊₁₀C₂ = D₄⋊₂Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊C₈	32		C4:C8:10C2	64,157
C₄⋊C₈⋊₁₁C₂ = C₄⋊M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊C₈	32		C4:C8:11C2	64,104
C₄⋊C₈⋊₁₂C₂ = C₄².₆C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊C₈	32		C4:C8:12C2	64,105
C₄⋊C₈⋊₁₃C₂ = C₄².₆C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊C₈	32		C4:C8:13C2	64,113
C₄⋊C₈⋊₁₄C₂ = C₄².₇C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊C₈	32		C4:C8:14C2	64,114
C₄⋊C₈⋊₁₅C₂ = C₈⋊₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊C₈	32		C4:C8:15C2	64,116
C₄⋊C₈⋊₁₆C₂ = C₈⋊₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊C₈	32		C4:C8:16C2	64,117
C₄⋊C₈⋊₁₇C₂ = C₄².₁₂C₄	φ: trivial image	32		C4:C8:17C2	64,112
C₄⋊C₈⋊₁₈C₂ = C₈×D₄	φ: trivial image	32		C4:C8:18C2	64,115

Non-split extensions G=N.Q with N=C₄⋊C₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₄⋊C₈.₁C₂ = Q₈⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊C₈	64		C4:C8.1C2	64,7
C₄⋊C₈.₂C₂ = C₄.₁₀D₈	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊C₈	64		C4:C8.2C2	64,13
C₄⋊C₈.₃C₂ = C₄.₆Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊C₈	64		C4:C8.3C2	64,14
C₄⋊C₈.₄C₂ = C₈⋊₂C₈	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊C₈	64		C4:C8.4C2	64,15
C₄⋊C₈.₅C₂ = C₈⋊₁C₈	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊C₈	64		C4:C8.5C2	64,16
C₄⋊C₈.₆C₂ = C₄⋊₂Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊C₈	64		C4:C8.6C2	64,143
C₄⋊C₈.₇C₂ = C₄.Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊C₈	64		C4:C8.7C2	64,158
C₄⋊C₈.₈C₂ = Q₈.Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊C₈	64		C4:C8.8C2	64,160
C₄⋊C₈.₉C₂ = Q₈⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊C₈	64		C4:C8.9C2	64,156
C₄⋊C₈.₁₀C₂ = C₈⋊₄Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊C₈	64		C4:C8.10C2	64,127
C₄⋊C₈.₁₁C₂ = C₈×Q₈	φ: trivial image	64		C4:C8.11C2	64,126

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