Extensions 1→N→G→Q→1 with N=C₆xD₇ and Q=C₂²

Direct product G=NxQ with N=C₆xD₇ and Q=C₂²

		d	ρ	Label	ID
D₇xC₂²xC₆		168		D7xC2^2xC6	336,225

Semidirect products G=N:Q with N=C₆xD₇ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆xD₇):₁C₂² = S₃xD₂₈	φ: C₂²/C₁ → C₂² ⊆ Out C₆xD₇	84	4+	(C6xD7):1C2^2	336,149
(C₆xD₇):₂C₂² = C₂₈:D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₆xD₇	84	4	(C6xD7):2C2^2	336,150
(C₆xD₇):₃C₂² = S₃xC₇:D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₆xD₇	84	4	(C6xD7):3C2^2	336,162
(C₆xD₇):₄C₂² = D₆:D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₆xD₇	84	4+	(C6xD7):4C2^2	336,163
(C₆xD₇):₅C₂² = C₂xC₂₁:D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₆xD₇	168		(C6xD7):5C2^2	336,157
(C₆xD₇):₆C₂² = C₂xC₃:D₂₈	φ: C₂²/C₂ → C₂ ⊆ Out C₆xD₇	168		(C6xD7):6C2^2	336,158
(C₆xD₇):₇C₂² = D₇xC₃:D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₆xD₇	84	4	(C6xD7):7C2^2	336,161
(C₆xD₇):₈C₂² = C₂²xS₃xD₇	φ: C₂²/C₂ → C₂ ⊆ Out C₆xD₇	84		(C6xD7):8C2^2	336,219
(C₆xD₇):₉C₂² = C₆xD₂₈	φ: C₂²/C₂ → C₂ ⊆ Out C₆xD₇	168		(C6xD7):9C2^2	336,176
(C₆xD₇):₁₀C₂² = C₃xD₄xD₇	φ: C₂²/C₂ → C₂ ⊆ Out C₆xD₇	84	4	(C6xD7):10C2^2	336,178
(C₆xD₇):₁₁C₂² = C₆xC₇:D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₆xD₇	168		(C6xD7):11C2^2	336,183

Non-split extensions G=N.Q with N=C₆xD₇ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆xD₇).₁C₂² = D₂₈:₅S₃	φ: C₂²/C₁ → C₂² ⊆ Out C₆xD₇	168	4-	(C6xD7).1C2^2	336,138
(C₆xD₇).₂C₂² = D₂₈:S₃	φ: C₂²/C₁ → C₂² ⊆ Out C₆xD₇	168	4	(C6xD7).2C2^2	336,139
(C₆xD₇).₃C₂² = Dic₇.D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₆xD₇	168	4	(C6xD7).3C2^2	336,152
(C₆xD₇).₄C₂² = C₄₂.C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₆xD₇	168	4-	(C6xD7).4C2^2	336,153
(C₆xD₇).₅C₂² = D₇xDic₆	φ: C₂²/C₂ → C₂ ⊆ Out C₆xD₇	168	4-	(C6xD7).5C2^2	336,137
(C₆xD₇).₆C₂² = D₆.D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out C₆xD₇	168	4	(C6xD7).6C2^2	336,144
(C₆xD₇).₇C₂² = D₁₂:₅D₇	φ: C₂²/C₂ → C₂ ⊆ Out C₆xD₇	168	4-	(C6xD7).7C2^2	336,145
(C₆xD₇).₈C₂² = D₁₄.D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₆xD₇	168	4+	(C6xD7).8C2^2	336,146
(C₆xD₇).₉C₂² = C₄xS₃xD₇	φ: C₂²/C₂ → C₂ ⊆ Out C₆xD₇	84	4	(C6xD7).9C2^2	336,147
(C₆xD₇).₁₀C₂² = D₇xD₁₂	φ: C₂²/C₂ → C₂ ⊆ Out C₆xD₇	84	4+	(C6xD7).10C2^2	336,148
(C₆xD₇).₁₁C₂² = C₂xDic₃xD₇	φ: C₂²/C₂ → C₂ ⊆ Out C₆xD₇	168		(C6xD7).11C2^2	336,151
(C₆xD₇).₁₂C₂² = C₃xC₄oD₂₈	φ: C₂²/C₂ → C₂ ⊆ Out C₆xD₇	168	2	(C6xD7).12C2^2	336,177
(C₆xD₇).₁₃C₂² = C₃xD₄:₂D₇	φ: C₂²/C₂ → C₂ ⊆ Out C₆xD₇	168	4	(C6xD7).13C2^2	336,179
(C₆xD₇).₁₄C₂² = C₃xQ₈:₂D₇	φ: C₂²/C₂ → C₂ ⊆ Out C₆xD₇	168	4	(C6xD7).14C2^2	336,181
(C₆xD₇).₁₅C₂² = D₇xC₂xC₁₂	φ: trivial image	168		(C6xD7).15C2^2	336,175
(C₆xD₇).₁₆C₂² = C₃xQ₈xD₇	φ: trivial image	168	4	(C6xD7).16C2^2	336,180

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