Extensions 1→N→G→Q→1 with N=C₃×Q₈ and Q=C₁₄

Direct product G=N×Q with N=C₃×Q₈ and Q=C₁₄

		d	ρ	Label	ID
Q₈×C₄₂		336		Q8xC42	336,206

Semidirect products G=N:Q with N=C₃×Q₈ and Q=C₁₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×Q₈)⋊₁C₁₄ = C₇×Q₈⋊₂S₃	φ: C₁₄/C₇ → C₂ ⊆ Out C₃×Q₈	168	4	(C3xQ8):1C14	336,87
(C₃×Q₈)⋊₂C₁₄ = S₃×C₇×Q₈	φ: C₁₄/C₇ → C₂ ⊆ Out C₃×Q₈	168	4	(C3xQ8):2C14	336,190
(C₃×Q₈)⋊₃C₁₄ = C₇×Q₈⋊₃S₃	φ: C₁₄/C₇ → C₂ ⊆ Out C₃×Q₈	168	4	(C3xQ8):3C14	336,191
(C₃×Q₈)⋊₄C₁₄ = SD₁₆×C₂₁	φ: C₁₄/C₇ → C₂ ⊆ Out C₃×Q₈	168	2	(C3xQ8):4C14	336,112
(C₃×Q₈)⋊₅C₁₄ = C₄○D₄×C₂₁	φ: trivial image	168	2	(C3xQ8):5C14	336,207

Non-split extensions G=N.Q with N=C₃×Q₈ and Q=C₁₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×Q₈).₁C₁₄ = C₇×C₃⋊Q₁₆	φ: C₁₄/C₇ → C₂ ⊆ Out C₃×Q₈	336	4	(C3xQ8).1C14	336,88
(C₃×Q₈).₂C₁₄ = Q₁₆×C₂₁	φ: C₁₄/C₇ → C₂ ⊆ Out C₃×Q₈	336	2	(C3xQ8).2C14	336,113

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁