Extensions 1→N→G→Q→1 with N=C₄⋊₁D₄ and Q=C₂

Direct product G=N×Q with N=C₄⋊₁D₄ and Q=C₂

		d	ρ	Label	ID
C₂×C₄⋊₁D₄		32		C2xC4:1D4	64,211

Semidirect products G=N:Q with N=C₄⋊₁D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₄⋊₁D₄⋊₁C₂ = D₄⋊₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊₁D₄	8	4+	C4:1D4:1C2	64,134
C₄⋊₁D₄⋊₂C₂ = C₄⋊D₈	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊₁D₄	32		C4:1D4:2C2	64,140
C₄⋊₁D₄⋊₃C₂ = C₈⋊₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊₁D₄	32		C4:1D4:3C2	64,174
C₄⋊₁D₄⋊₄C₂ = C₈⋊₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊₁D₄	32		C4:1D4:4C2	64,177
C₄⋊₁D₄⋊₅C₂ = C₂².₂₉C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊₁D₄	16		C4:1D4:5C2	64,216
C₄⋊₁D₄⋊₆C₂ = C₂².₃₄C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊₁D₄	32		C4:1D4:6C2	64,221
C₄⋊₁D₄⋊₇C₂ = D₄²	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊₁D₄	16		C4:1D4:7C2	64,226
C₄⋊₁D₄⋊₈C₂ = Q₈⋊₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊₁D₄	32		C4:1D4:8C2	64,231
C₄⋊₁D₄⋊₉C₂ = C₂².₅₄C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊₁D₄	16		C4:1D4:9C2	64,241
C₄⋊₁D₄⋊₁₀C₂ = C₂².₂₆C₂⁴	φ: trivial image	32		C4:1D4:10C2	64,213

Non-split extensions G=N.Q with N=C₄⋊₁D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₄⋊₁D₄.₁C₂ = C₄.D₈	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊₁D₄	32		C4:1D4.1C2	64,12
C₄⋊₁D₄.₂C₂ = C₄²⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊₁D₄	8	4+	C4:1D4.2C2	64,34
C₄⋊₁D₄.₃C₂ = C₄⋊SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊₁D₄	32		C4:1D4.3C2	64,141
C₄⋊₁D₄.₄C₂ = C₄.₄D₈	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊₁D₄	32		C4:1D4.4C2	64,167
C₄⋊₁D₄.₅C₂ = C₄².₂₉C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊₁D₄	32		C4:1D4.5C2	64,171
C₄⋊₁D₄.₆C₂ = C₈⋊₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊₁D₄	32		C4:1D4.6C2	64,173
C₄⋊₁D₄.₇C₂ = C₂².₅₃C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄⋊₁D₄	32		C4:1D4.7C2	64,240

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