Extensions 1→N→G→Q→1 with N=Dic₃ and Q=D₁₄

Direct product G=N×Q with N=Dic₃ and Q=D₁₄

		d	ρ	Label	ID
C₂×Dic₃×D₇		168		C2xDic3xD7	336,151

Semidirect products G=N:Q with N=Dic₃ and Q=D₁₄

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃⋊₁D₁₄ = D₇×C₃⋊D₄	φ: D₁₄/D₇ → C₂ ⊆ Out Dic₃	84	4	Dic3:1D14	336,161
Dic₃⋊₂D₁₄ = D₆⋊D₁₄	φ: D₁₄/D₇ → C₂ ⊆ Out Dic₃	84	4+	Dic3:2D14	336,163
Dic₃⋊₃D₁₄ = S₃×D₂₈	φ: D₁₄/C₁₄ → C₂ ⊆ Out Dic₃	84	4+	Dic3:3D14	336,149
Dic₃⋊₄D₁₄ = C₂×C₃⋊D₂₈	φ: D₁₄/C₁₄ → C₂ ⊆ Out Dic₃	168		Dic3:4D14	336,158
Dic₃⋊₅D₁₄ = C₄×S₃×D₇	φ: trivial image	84	4	Dic3:5D14	336,147
Dic₃⋊₆D₁₄ = C₂×D₂₁⋊C₄	φ: trivial image	168		Dic3:6D14	336,156

Non-split extensions G=N.Q with N=Dic₃ and Q=D₁₄

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃.₁D₁₄ = D₇×Dic₆	φ: D₁₄/D₇ → C₂ ⊆ Out Dic₃	168	4-	Dic3.1D14	336,137
Dic₃.₂D₁₄ = D₂₈⋊S₃	φ: D₁₄/D₇ → C₂ ⊆ Out Dic₃	168	4	Dic3.2D14	336,139
Dic₃.₃D₁₄ = D₂₁⋊Q₈	φ: D₁₄/D₇ → C₂ ⊆ Out Dic₃	168	4	Dic3.3D14	336,143
Dic₃.₄D₁₄ = D₁₄.D₆	φ: D₁₄/D₇ → C₂ ⊆ Out Dic₃	168	4+	Dic3.4D14	336,146
Dic₃.₅D₁₄ = C₄₂.C₂³	φ: D₁₄/D₇ → C₂ ⊆ Out Dic₃	168	4-	Dic3.5D14	336,153
Dic₃.₆D₁₄ = Dic₃.D₁₄	φ: D₁₄/D₇ → C₂ ⊆ Out Dic₃	168	4	Dic3.6D14	336,155
Dic₃.₇D₁₄ = S₃×Dic₁₄	φ: D₁₄/C₁₄ → C₂ ⊆ Out Dic₃	168	4-	Dic3.7D14	336,140
Dic₃.₈D₁₄ = D₆.D₁₄	φ: D₁₄/C₁₄ → C₂ ⊆ Out Dic₃	168	4	Dic3.8D14	336,144
Dic₃.₉D₁₄ = C₂×C₂₁⋊Q₈	φ: D₁₄/C₁₄ → C₂ ⊆ Out Dic₃	336		Dic3.9D14	336,160
Dic₃.₁₀D₁₄ = D₂₈⋊₅S₃	φ: trivial image	168	4-	Dic3.10D14	336,138
Dic₃.₁₁D₁₄ = D₈₄⋊C₂	φ: trivial image	168	4+	Dic3.11D14	336,142
Dic₃.₁₂D₁₄ = Dic₇.D₆	φ: trivial image	168	4	Dic3.12D14	336,152

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