Extensions 1→N→G→Q→1 with N=C₃×Dic₇ and Q=C₂²

Direct product G=N×Q with N=C₃×Dic₇ and Q=C₂²

		d	ρ	Label	ID
C₂×C₆×Dic₇		336		C2xC6xDic7	336,182

Semidirect products G=N:Q with N=C₃×Dic₇ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×Dic₇)⋊₁C₂² = S₃×C₇⋊D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₃×Dic₇	84	4	(C3xDic7):1C2^2	336,162
(C₃×Dic₇)⋊₂C₂² = D₆⋊D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₃×Dic₇	84	4+	(C3xDic7):2C2^2	336,163
(C₃×Dic₇)⋊₃C₂² = C₄×S₃×D₇	φ: C₂²/C₂ → C₂ ⊆ Out C₃×Dic₇	84	4	(C3xDic7):3C2^2	336,147
(C₃×Dic₇)⋊₄C₂² = D₇×D₁₂	φ: C₂²/C₂ → C₂ ⊆ Out C₃×Dic₇	84	4+	(C3xDic7):4C2^2	336,148
(C₃×Dic₇)⋊₅C₂² = C₂×S₃×Dic₇	φ: C₂²/C₂ → C₂ ⊆ Out C₃×Dic₇	168		(C3xDic7):5C2^2	336,154
(C₃×Dic₇)⋊₆C₂² = C₂×D₂₁⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₃×Dic₇	168		(C3xDic7):6C2^2	336,156
(C₃×Dic₇)⋊₇C₂² = C₂×C₇⋊D₁₂	φ: C₂²/C₂ → C₂ ⊆ Out C₃×Dic₇	168		(C3xDic7):7C2^2	336,159
(C₃×Dic₇)⋊₈C₂² = C₃×D₄×D₇	φ: C₂²/C₂ → C₂ ⊆ Out C₃×Dic₇	84	4	(C3xDic7):8C2^2	336,178
(C₃×Dic₇)⋊₉C₂² = C₆×C₇⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₃×Dic₇	168		(C3xDic7):9C2^2	336,183
(C₃×Dic₇)⋊₁₀C₂² = D₇×C₂×C₁₂	φ: trivial image	168		(C3xDic7):10C2^2	336,175

Non-split extensions G=N.Q with N=C₃×Dic₇ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×Dic₇).₁C₂² = S₃×Dic₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₃×Dic₇	168	4-	(C3xDic7).1C2^2	336,140
(C₃×Dic₇).₂C₂² = D₁₂⋊D₇	φ: C₂²/C₁ → C₂² ⊆ Out C₃×Dic₇	168	4	(C3xDic7).2C2^2	336,141
(C₃×Dic₇).₃C₂² = D₈₄⋊C₂	φ: C₂²/C₁ → C₂² ⊆ Out C₃×Dic₇	168	4+	(C3xDic7).3C2^2	336,142
(C₃×Dic₇).₄C₂² = D₂₁⋊Q₈	φ: C₂²/C₁ → C₂² ⊆ Out C₃×Dic₇	168	4	(C3xDic7).4C2^2	336,143
(C₃×Dic₇).₅C₂² = Dic₇.D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₃×Dic₇	168	4	(C3xDic7).5C2^2	336,152
(C₃×Dic₇).₆C₂² = C₄₂.C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₃×Dic₇	168	4-	(C3xDic7).6C2^2	336,153
(C₃×Dic₇).₇C₂² = D₇×Dic₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃×Dic₇	168	4-	(C3xDic7).7C2^2	336,137
(C₃×Dic₇).₈C₂² = D₆.D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out C₃×Dic₇	168	4	(C3xDic7).8C2^2	336,144
(C₃×Dic₇).₉C₂² = D₁₂⋊₅D₇	φ: C₂²/C₂ → C₂ ⊆ Out C₃×Dic₇	168	4-	(C3xDic7).9C2^2	336,145
(C₃×Dic₇).₁₀C₂² = D₁₄.D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₃×Dic₇	168	4+	(C3xDic7).10C2^2	336,146
(C₃×Dic₇).₁₁C₂² = Dic₃.D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out C₃×Dic₇	168	4	(C3xDic7).11C2^2	336,155
(C₃×Dic₇).₁₂C₂² = C₂×C₂₁⋊Q₈	φ: C₂²/C₂ → C₂ ⊆ Out C₃×Dic₇	336		(C3xDic7).12C2^2	336,160
(C₃×Dic₇).₁₃C₂² = C₆×Dic₁₄	φ: C₂²/C₂ → C₂ ⊆ Out C₃×Dic₇	336		(C3xDic7).13C2^2	336,174
(C₃×Dic₇).₁₄C₂² = C₃×C₄○D₂₈	φ: C₂²/C₂ → C₂ ⊆ Out C₃×Dic₇	168	2	(C3xDic7).14C2^2	336,177
(C₃×Dic₇).₁₅C₂² = C₃×D₄⋊₂D₇	φ: C₂²/C₂ → C₂ ⊆ Out C₃×Dic₇	168	4	(C3xDic7).15C2^2	336,179
(C₃×Dic₇).₁₆C₂² = C₃×Q₈×D₇	φ: C₂²/C₂ → C₂ ⊆ Out C₃×Dic₇	168	4	(C3xDic7).16C2^2	336,180
(C₃×Dic₇).₁₇C₂² = C₃×Q₈⋊₂D₇	φ: trivial image	168	4	(C3xDic7).17C2^2	336,181

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