Extensions 1→N→G→Q→1 with N=C₁₄ and Q=D₈

Direct product G=N×Q with N=C₁₄ and Q=D₈

		d	ρ	Label	ID
C₁₄×D₈		112		C14xD8	224,167

Semidirect products G=N:Q with N=C₁₄ and Q=D₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₄⋊₁D₈ = C₂×D₅₆	φ: D₈/C₈ → C₂ ⊆ Aut C₁₄	112		C14:1D8	224,98
C₁₄⋊₂D₈ = C₂×D₄⋊D₇	φ: D₈/D₄ → C₂ ⊆ Aut C₁₄	112		C14:2D8	224,126

Non-split extensions G=N.Q with N=C₁₄ and Q=D₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₄.₁D₈ = D₁₁₂	φ: D₈/C₈ → C₂ ⊆ Aut C₁₄	112	2+	C14.1D8	224,5
C₁₄.₂D₈ = C₁₁₂⋊C₂	φ: D₈/C₈ → C₂ ⊆ Aut C₁₄	112	2	C14.2D8	224,6
C₁₄.₃D₈ = Dic₅₆	φ: D₈/C₈ → C₂ ⊆ Aut C₁₄	224	2-	C14.3D8	224,7
C₁₄.₄D₈ = C₅₆⋊₁C₄	φ: D₈/C₈ → C₂ ⊆ Aut C₁₄	224		C14.4D8	224,24
C₁₄.₅D₈ = C₂.D₅₆	φ: D₈/C₈ → C₂ ⊆ Aut C₁₄	112		C14.5D8	224,27
C₁₄.₆D₈ = C₂₈.Q₈	φ: D₈/D₄ → C₂ ⊆ Aut C₁₄	224		C14.6D8	224,13
C₁₄.₇D₈ = C₁₄.D₈	φ: D₈/D₄ → C₂ ⊆ Aut C₁₄	112		C14.7D8	224,15
C₁₄.₈D₈ = C₇⋊D₁₆	φ: D₈/D₄ → C₂ ⊆ Aut C₁₄	112	4+	C14.8D8	224,32
C₁₄.₉D₈ = D₈.D₇	φ: D₈/D₄ → C₂ ⊆ Aut C₁₄	112	4-	C14.9D8	224,33
C₁₄.₁₀D₈ = C₇⋊SD₃₂	φ: D₈/D₄ → C₂ ⊆ Aut C₁₄	112	4+	C14.10D8	224,34
C₁₄.₁₁D₈ = C₇⋊Q₃₂	φ: D₈/D₄ → C₂ ⊆ Aut C₁₄	224	4-	C14.11D8	224,35
C₁₄.₁₂D₈ = D₄⋊Dic₇	φ: D₈/D₄ → C₂ ⊆ Aut C₁₄	112		C14.12D8	224,38
C₁₄.₁₃D₈ = C₇×D₄⋊C₄	central extension (φ=1)	112		C14.13D8	224,51
C₁₄.₁₄D₈ = C₇×C₂.D₈	central extension (φ=1)	224		C14.14D8	224,56
C₁₄.₁₅D₈ = C₇×D₁₆	central extension (φ=1)	112	2	C14.15D8	224,60
C₁₄.₁₆D₈ = C₇×SD₃₂	central extension (φ=1)	112	2	C14.16D8	224,61
C₁₄.₁₇D₈ = C₇×Q₃₂	central extension (φ=1)	224	2	C14.17D8	224,62

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