Extensions 1→N→G→Q→1 with N=C₁₄ and Q=C₂³

Direct product G=N×Q with N=C₁₄ and Q=C₂³

		d	ρ	Label	ID
C₂³×C₁₄		112		C2^3xC14	112,43

Semidirect products G=N:Q with N=C₁₄ and Q=C₂³

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₄⋊C₂³ = C₂³×D₇	φ: C₂³/C₂² → C₂ ⊆ Aut C₁₄	56		C14:C2^3	112,42

Non-split extensions G=N.Q with N=C₁₄ and Q=C₂³

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₄.₁C₂³ = C₂×Dic₁₄	φ: C₂³/C₂² → C₂ ⊆ Aut C₁₄	112		C14.1C2^3	112,27
C₁₄.₂C₂³ = C₂×C₄×D₇	φ: C₂³/C₂² → C₂ ⊆ Aut C₁₄	56		C14.2C2^3	112,28
C₁₄.₃C₂³ = C₂×D₂₈	φ: C₂³/C₂² → C₂ ⊆ Aut C₁₄	56		C14.3C2^3	112,29
C₁₄.₄C₂³ = C₄○D₂₈	φ: C₂³/C₂² → C₂ ⊆ Aut C₁₄	56	2	C14.4C2^3	112,30
C₁₄.₅C₂³ = D₄×D₇	φ: C₂³/C₂² → C₂ ⊆ Aut C₁₄	28	4+	C14.5C2^3	112,31
C₁₄.₆C₂³ = D₄⋊₂D₇	φ: C₂³/C₂² → C₂ ⊆ Aut C₁₄	56	4-	C14.6C2^3	112,32
C₁₄.₇C₂³ = Q₈×D₇	φ: C₂³/C₂² → C₂ ⊆ Aut C₁₄	56	4-	C14.7C2^3	112,33
C₁₄.₈C₂³ = Q₈⋊₂D₇	φ: C₂³/C₂² → C₂ ⊆ Aut C₁₄	56	4+	C14.8C2^3	112,34
C₁₄.₉C₂³ = C₂²×Dic₇	φ: C₂³/C₂² → C₂ ⊆ Aut C₁₄	112		C14.9C2^3	112,35
C₁₄.₁₀C₂³ = C₂×C₇⋊D₄	φ: C₂³/C₂² → C₂ ⊆ Aut C₁₄	56		C14.10C2^3	112,36
C₁₄.₁₁C₂³ = D₄×C₁₄	central extension (φ=1)	56		C14.11C2^3	112,38
C₁₄.₁₂C₂³ = Q₈×C₁₄	central extension (φ=1)	112		C14.12C2^3	112,39
C₁₄.₁₃C₂³ = C₇×C₄○D₄	central extension (φ=1)	56	2	C14.13C2^3	112,40

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