Extensions 1→N→G→Q→1 with N=C₇×Dic₃ and Q=C₂²

Direct product G=N×Q with N=C₇×Dic₃ and Q=C₂²

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

Semidirect products G=N:Q with N=C₇×Dic₃ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇×Dic₃)⋊₁C₂² = D₇×C₃⋊D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₇×Dic₃	84	4	(C7xDic3):1C2^2	336,161
(C₇×Dic₃)⋊₂C₂² = D₆⋊D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₇×Dic₃	84	4+	(C7xDic3):2C2^2	336,163
(C₇×Dic₃)⋊₃C₂² = C₄×S₃×D₇	φ: C₂²/C₂ → C₂ ⊆ Out C₇×Dic₃	84	4	(C7xDic3):3C2^2	336,147
(C₇×Dic₃)⋊₄C₂² = S₃×D₂₈	φ: C₂²/C₂ → C₂ ⊆ Out C₇×Dic₃	84	4+	(C7xDic3):4C2^2	336,149
(C₇×Dic₃)⋊₅C₂² = C₂×Dic₃×D₇	φ: C₂²/C₂ → C₂ ⊆ Out C₇×Dic₃	168		(C7xDic3):5C2^2	336,151
(C₇×Dic₃)⋊₆C₂² = C₂×D₂₁⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₇×Dic₃	168		(C7xDic3):6C2^2	336,156
(C₇×Dic₃)⋊₇C₂² = C₂×C₃⋊D₂₈	φ: C₂²/C₂ → C₂ ⊆ Out C₇×Dic₃	168		(C7xDic3):7C2^2	336,158
(C₇×Dic₃)⋊₈C₂² = S₃×C₇×D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₇×Dic₃	84	4	(C7xDic3):8C2^2	336,188
(C₇×Dic₃)⋊₉C₂² = C₁₄×C₃⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₇×Dic₃	168		(C7xDic3):9C2^2	336,193
(C₇×Dic₃)⋊₁₀C₂² = S₃×C₂×C₂₈	φ: trivial image	168		(C7xDic3):10C2^2	336,185

Non-split extensions G=N.Q with N=C₇×Dic₃ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇×Dic₃).₁C₂² = D₇×Dic₆	φ: C₂²/C₁ → C₂² ⊆ Out C₇×Dic₃	168	4-	(C7xDic3).1C2^2	336,137
(C₇×Dic₃).₂C₂² = D₂₈⋊S₃	φ: C₂²/C₁ → C₂² ⊆ Out C₇×Dic₃	168	4	(C7xDic3).2C2^2	336,139
(C₇×Dic₃).₃C₂² = D₂₁⋊Q₈	φ: C₂²/C₁ → C₂² ⊆ Out C₇×Dic₃	168	4	(C7xDic3).3C2^2	336,143
(C₇×Dic₃).₄C₂² = D₁₄.D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₇×Dic₃	168	4+	(C7xDic3).4C2^2	336,146
(C₇×Dic₃).₅C₂² = C₄₂.C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₇×Dic₃	168	4-	(C7xDic3).5C2^2	336,153
(C₇×Dic₃).₆C₂² = Dic₃.D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₇×Dic₃	168	4	(C7xDic3).6C2^2	336,155
(C₇×Dic₃).₇C₂² = D₂₈⋊₅S₃	φ: C₂²/C₂ → C₂ ⊆ Out C₇×Dic₃	168	4-	(C7xDic3).7C2^2	336,138
(C₇×Dic₃).₈C₂² = S₃×Dic₁₄	φ: C₂²/C₂ → C₂ ⊆ Out C₇×Dic₃	168	4-	(C7xDic3).8C2^2	336,140
(C₇×Dic₃).₉C₂² = D₈₄⋊C₂	φ: C₂²/C₂ → C₂ ⊆ Out C₇×Dic₃	168	4+	(C7xDic3).9C2^2	336,142
(C₇×Dic₃).₁₀C₂² = D₆.D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out C₇×Dic₃	168	4	(C7xDic3).10C2^2	336,144
(C₇×Dic₃).₁₁C₂² = Dic₇.D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₇×Dic₃	168	4	(C7xDic3).11C2^2	336,152
(C₇×Dic₃).₁₂C₂² = C₂×C₂₁⋊Q₈	φ: C₂²/C₂ → C₂ ⊆ Out C₇×Dic₃	336		(C7xDic3).12C2^2	336,160
(C₇×Dic₃).₁₃C₂² = C₁₄×Dic₆	φ: C₂²/C₂ → C₂ ⊆ Out C₇×Dic₃	336		(C7xDic3).13C2^2	336,184
(C₇×Dic₃).₁₄C₂² = C₇×C₄○D₁₂	φ: C₂²/C₂ → C₂ ⊆ Out C₇×Dic₃	168	2	(C7xDic3).14C2^2	336,187
(C₇×Dic₃).₁₅C₂² = S₃×C₇×Q₈	φ: C₂²/C₂ → C₂ ⊆ Out C₇×Dic₃	168	4	(C7xDic3).15C2^2	336,190
(C₇×Dic₃).₁₆C₂² = C₇×D₄⋊₂S₃	φ: trivial image	168	4	(C7xDic3).16C2^2	336,189
(C₇×Dic₃).₁₇C₂² = C₇×Q₈⋊₃S₃	φ: trivial image	168	4	(C7xDic3).17C2^2	336,191

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