Extensions 1→N→G→Q→1 with N=C₂²×C₆ and Q=C₁₄

Direct product G=N×Q with N=C₂²×C₆ and Q=C₁₄

		d	ρ	Label	ID
C₂³×C₄₂		336		C2^3xC42	336,228

Semidirect products G=N:Q with N=C₂²×C₆ and Q=C₁₄

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂²×C₆)⋊C₁₄ = S₃×F₈	φ: C₁₄/C₁ → C₁₄ ⊆ Aut C₂²×C₆	24	14+	(C2^2xC6):C14	336,211
(C₂²×C₆)⋊₂C₁₄ = C₆×F₈	φ: C₁₄/C₂ → C₇ ⊆ Aut C₂²×C₆	42	7	(C2^2xC6):2C14	336,213
(C₂²×C₆)⋊₃C₁₄ = D₄×C₄₂	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂²×C₆	168		(C2^2xC6):3C14	336,205
(C₂²×C₆)⋊₄C₁₄ = C₁₄×C₃⋊D₄	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂²×C₆	168		(C2^2xC6):4C14	336,193
(C₂²×C₆)⋊₅C₁₄ = S₃×C₂²×C₁₄	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂²×C₆	168		(C2^2xC6):5C14	336,226

Non-split extensions G=N.Q with N=C₂²×C₆ and Q=C₁₄

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂²×C₆).₁C₁₄ = C₂²⋊C₄×C₂₁	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂²×C₆	168		(C2^2xC6).1C14	336,107
(C₂²×C₆).₂C₁₄ = C₇×C₆.D₄	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂²×C₆	168		(C2^2xC6).2C14	336,89
(C₂²×C₆).₃C₁₄ = Dic₃×C₂×C₁₄	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂²×C₆	336		(C2^2xC6).3C14	336,192

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