Extensions 1→N→G→Q→1 with N=C₂×C₁₂ and Q=C₁₄

Direct product G=N×Q with N=C₂×C₁₂ and Q=C₁₄

		d	ρ	Label	ID
C₂²×C₈₄		336		C2^2xC84	336,204

Semidirect products G=N:Q with N=C₂×C₁₂ and Q=C₁₄

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₁₂)⋊₁C₁₄ = C₇×D₆⋊C₄	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂×C₁₂	168		(C2xC12):1C14	336,84
(C₂×C₁₂)⋊₂C₁₄ = C₂²⋊C₄×C₂₁	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂×C₁₂	168		(C2xC12):2C14	336,107
(C₂×C₁₂)⋊₃C₁₄ = C₁₄×D₁₂	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂×C₁₂	168		(C2xC12):3C14	336,186
(C₂×C₁₂)⋊₄C₁₄ = C₇×C₄○D₁₂	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂×C₁₂	168	2	(C2xC12):4C14	336,187
(C₂×C₁₂)⋊₅C₁₄ = S₃×C₂×C₂₈	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂×C₁₂	168		(C2xC12):5C14	336,185
(C₂×C₁₂)⋊₆C₁₄ = D₄×C₄₂	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂×C₁₂	168		(C2xC12):6C14	336,205
(C₂×C₁₂)⋊₇C₁₄ = C₄○D₄×C₂₁	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂×C₁₂	168	2	(C2xC12):7C14	336,207

Non-split extensions G=N.Q with N=C₂×C₁₂ and Q=C₁₄

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₁₂).₁C₁₄ = C₇×Dic₃⋊C₄	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂×C₁₂	336		(C2xC12).1C14	336,82
(C₂×C₁₂).₂C₁₄ = C₄⋊C₄×C₂₁	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂×C₁₂	336		(C2xC12).2C14	336,108
(C₂×C₁₂).₃C₁₄ = C₇×C₄⋊Dic₃	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂×C₁₂	336		(C2xC12).3C14	336,83
(C₂×C₁₂).₄C₁₄ = C₁₄×Dic₆	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂×C₁₂	336		(C2xC12).4C14	336,184
(C₂×C₁₂).₅C₁₄ = C₇×C₄.Dic₃	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂×C₁₂	168	2	(C2xC12).5C14	336,80
(C₂×C₁₂).₆C₁₄ = C₁₄×C₃⋊C₈	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂×C₁₂	336		(C2xC12).6C14	336,79
(C₂×C₁₂).₇C₁₄ = Dic₃×C₂₈	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂×C₁₂	336		(C2xC12).7C14	336,81
(C₂×C₁₂).₈C₁₄ = M₄(2)×C₂₁	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂×C₁₂	168	2	(C2xC12).8C14	336,110
(C₂×C₁₂).₉C₁₄ = Q₈×C₄₂	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂×C₁₂	336		(C2xC12).9C14	336,206

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