Extensions 1→N→G→Q→1 with N=C₁₄ and Q=C₂×Dic₃

Direct product G=N×Q with N=C₁₄ and Q=C₂×Dic₃

		d	ρ	Label	ID
Dic₃×C₂×C₁₄		336		Dic3xC2xC14	336,192

Semidirect products G=N:Q with N=C₁₄ and Q=C₂×Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₄⋊₁(C₂×Dic₃) = C₂×Dic₃×D₇	φ: C₂×Dic₃/Dic₃ → C₂ ⊆ Aut C₁₄	168		C14:1(C2xDic3)	336,151
C₁₄⋊₂(C₂×Dic₃) = C₂²×Dic₂₁	φ: C₂×Dic₃/C₂×C₆ → C₂ ⊆ Aut C₁₄	336		C14:2(C2xDic3)	336,202

Non-split extensions G=N.Q with N=C₁₄ and Q=C₂×Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₄.₁(C₂×Dic₃) = D₇×C₃⋊C₈	φ: C₂×Dic₃/Dic₃ → C₂ ⊆ Aut C₁₄	168	4	C14.1(C2xDic3)	336,23
C₁₄.₂(C₂×Dic₃) = C₂₈.₃₂D₆	φ: C₂×Dic₃/Dic₃ → C₂ ⊆ Aut C₁₄	168	4	C14.2(C2xDic3)	336,26
C₁₄.₃(C₂×Dic₃) = Dic₃×Dic₇	φ: C₂×Dic₃/Dic₃ → C₂ ⊆ Aut C₁₄	336		C14.3(C2xDic3)	336,41
C₁₄.₄(C₂×Dic₃) = D₁₄⋊Dic₃	φ: C₂×Dic₃/Dic₃ → C₂ ⊆ Aut C₁₄	168		C14.4(C2xDic3)	336,42
C₁₄.₅(C₂×Dic₃) = C₄₂.Q₈	φ: C₂×Dic₃/Dic₃ → C₂ ⊆ Aut C₁₄	336		C14.5(C2xDic3)	336,45
C₁₄.₆(C₂×Dic₃) = C₂×C₂₁⋊C₈	φ: C₂×Dic₃/C₂×C₆ → C₂ ⊆ Aut C₁₄	336		C14.6(C2xDic3)	336,95
C₁₄.₇(C₂×Dic₃) = C₈₄.C₄	φ: C₂×Dic₃/C₂×C₆ → C₂ ⊆ Aut C₁₄	168	2	C14.7(C2xDic3)	336,96
C₁₄.₈(C₂×Dic₃) = C₄×Dic₂₁	φ: C₂×Dic₃/C₂×C₆ → C₂ ⊆ Aut C₁₄	336		C14.8(C2xDic3)	336,97
C₁₄.₉(C₂×Dic₃) = C₈₄⋊C₄	φ: C₂×Dic₃/C₂×C₆ → C₂ ⊆ Aut C₁₄	336		C14.9(C2xDic3)	336,99
C₁₄.₁₀(C₂×Dic₃) = C₄₂.₃₈D₄	φ: C₂×Dic₃/C₂×C₆ → C₂ ⊆ Aut C₁₄	168		C14.10(C2xDic3)	336,105
C₁₄.₁₁(C₂×Dic₃) = C₁₄×C₃⋊C₈	central extension (φ=1)	336		C14.11(C2xDic3)	336,79
C₁₄.₁₂(C₂×Dic₃) = C₇×C₄.Dic₃	central extension (φ=1)	168	2	C14.12(C2xDic3)	336,80
C₁₄.₁₃(C₂×Dic₃) = Dic₃×C₂₈	central extension (φ=1)	336		C14.13(C2xDic3)	336,81
C₁₄.₁₄(C₂×Dic₃) = C₇×C₄⋊Dic₃	central extension (φ=1)	336		C14.14(C2xDic3)	336,83
C₁₄.₁₅(C₂×Dic₃) = C₇×C₆.D₄	central extension (φ=1)	168		C14.15(C2xDic3)	336,89

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