Extensions 1→N→G→Q→1 with N=C₂²xC₆ and Q=C₁₄

Direct product G=NxQ with N=C₂²xC₆ and Q=C₁₄

		d	ρ	Label	ID
C₂³xC₄₂		336		C2^3xC42	336,228

Semidirect products G=N:Q with N=C₂²xC₆ and Q=C₁₄

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂²xC₆):C₁₄ = S₃xF₈	φ: C₁₄/C₁ → C₁₄ ⊆ Aut C₂²xC₆	24	14+	(C2^2xC6):C14	336,211
(C₂²xC₆):₂C₁₄ = C₆xF₈	φ: C₁₄/C₂ → C₇ ⊆ Aut C₂²xC₆	42	7	(C2^2xC6):2C14	336,213
(C₂²xC₆):₃C₁₄ = D₄xC₄₂	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂²xC₆	168		(C2^2xC6):3C14	336,205
(C₂²xC₆):₄C₁₄ = C₁₄xC₃:D₄	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂²xC₆	168		(C2^2xC6):4C14	336,193
(C₂²xC₆):₅C₁₄ = S₃xC₂²xC₁₄	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂²xC₆	168		(C2^2xC6):5C14	336,226

Non-split extensions G=N.Q with N=C₂²xC₆ and Q=C₁₄

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂²xC₆).₁C₁₄ = C₂²:C₄xC₂₁	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂²xC₆	168		(C2^2xC6).1C14	336,107
(C₂²xC₆).₂C₁₄ = C₇xC₆.D₄	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂²xC₆	168		(C2^2xC6).2C14	336,89
(C₂²xC₆).₃C₁₄ = Dic₃xC₂xC₁₄	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂²xC₆	336		(C2^2xC6).3C14	336,192

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