Extensions 1→N→G→Q→1 with N=C₂×C₆ and Q=C₁₄

Direct product G=N×Q with N=C₂×C₆ and Q=C₁₄

		d	ρ	Label	ID
C₂²×C₄₂		168		C2^2xC42	168,57

Semidirect products G=N:Q with N=C₂×C₆ and Q=C₁₄

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₆)⋊₁C₁₄ = D₄×C₂₁	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂×C₆	84	2	(C2xC6):1C14	168,40
(C₂×C₆)⋊₂C₁₄ = C₇×C₃⋊D₄	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂×C₆	84	2	(C2xC6):2C14	168,33
(C₂×C₆)⋊₃C₁₄ = S₃×C₂×C₁₄	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂×C₆	84		(C2xC6):3C14	168,55

Non-split extensions G=N.Q with N=C₂×C₆ and Q=C₁₄

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₆).C₁₄ = Dic₃×C₁₄	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂×C₆	168		(C2xC6).C14	168,32

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C2×C6 and Q=C14