Extensions 1→N→G→Q→1 with N=C₁₄ and Q=D₆

Direct product G=N×Q with N=C₁₄ and Q=D₆

		d	ρ	Label	ID
S₃×C₂×C₁₄		84		S3xC2xC14	168,55

Semidirect products G=N:Q with N=C₁₄ and Q=D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₄⋊₁D₆ = C₂×S₃×D₇	φ: D₆/S₃ → C₂ ⊆ Aut C₁₄	42	4+	C14:1D6	168,50
C₁₄⋊₂D₆ = C₂²×D₂₁	φ: D₆/C₆ → C₂ ⊆ Aut C₁₄	84		C14:2D6	168,56

Non-split extensions G=N.Q with N=C₁₄ and Q=D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₄.₁D₆ = Dic₃×D₇	φ: D₆/S₃ → C₂ ⊆ Aut C₁₄	84	4-	C14.1D6	168,12
C₁₄.₂D₆ = S₃×Dic₇	φ: D₆/S₃ → C₂ ⊆ Aut C₁₄	84	4-	C14.2D6	168,13
C₁₄.₃D₆ = D₂₁⋊C₄	φ: D₆/S₃ → C₂ ⊆ Aut C₁₄	84	4+	C14.3D6	168,14
C₁₄.₄D₆ = C₂₁⋊D₄	φ: D₆/S₃ → C₂ ⊆ Aut C₁₄	84	4-	C14.4D6	168,15
C₁₄.₅D₆ = C₃⋊D₂₈	φ: D₆/S₃ → C₂ ⊆ Aut C₁₄	84	4+	C14.5D6	168,16
C₁₄.₆D₆ = C₇⋊D₁₂	φ: D₆/S₃ → C₂ ⊆ Aut C₁₄	84	4+	C14.6D6	168,17
C₁₄.₇D₆ = C₂₁⋊Q₈	φ: D₆/S₃ → C₂ ⊆ Aut C₁₄	168	4-	C14.7D6	168,18
C₁₄.₈D₆ = Dic₄₂	φ: D₆/C₆ → C₂ ⊆ Aut C₁₄	168	2-	C14.8D6	168,34
C₁₄.₉D₆ = C₄×D₂₁	φ: D₆/C₆ → C₂ ⊆ Aut C₁₄	84	2	C14.9D6	168,35
C₁₄.₁₀D₆ = D₈₄	φ: D₆/C₆ → C₂ ⊆ Aut C₁₄	84	2+	C14.10D6	168,36
C₁₄.₁₁D₆ = C₂×Dic₂₁	φ: D₆/C₆ → C₂ ⊆ Aut C₁₄	168		C14.11D6	168,37
C₁₄.₁₂D₆ = C₂₁⋊₇D₄	φ: D₆/C₆ → C₂ ⊆ Aut C₁₄	84	2	C14.12D6	168,38
C₁₄.₁₃D₆ = C₇×Dic₆	central extension (φ=1)	168	2	C14.13D6	168,29
C₁₄.₁₄D₆ = S₃×C₂₈	central extension (φ=1)	84	2	C14.14D6	168,30
C₁₄.₁₅D₆ = C₇×D₁₂	central extension (φ=1)	84	2	C14.15D6	168,31
C₁₄.₁₆D₆ = Dic₃×C₁₄	central extension (φ=1)	168		C14.16D6	168,32
C₁₄.₁₇D₆ = C₇×C₃⋊D₄	central extension (φ=1)	84	2	C14.17D6	168,33

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁