Extensions 1→N→G→Q→1 with N=C₆×D₇ and Q=C₂²

Direct product G=N×Q with N=C₆×D₇ and Q=C₂²

		d	ρ	Label	ID
D₇×C₂²×C₆		168		D7xC2^2xC6	336,225

Semidirect products G=N:Q with N=C₆×D₇ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆×D₇)⋊₁C₂² = S₃×D₂₈	φ: C₂²/C₁ → C₂² ⊆ Out C₆×D₇	84	4+	(C6xD7):1C2^2	336,149
(C₆×D₇)⋊₂C₂² = C₂₈⋊D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₆×D₇	84	4	(C6xD7):2C2^2	336,150
(C₆×D₇)⋊₃C₂² = S₃×C₇⋊D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₆×D₇	84	4	(C6xD7):3C2^2	336,162
(C₆×D₇)⋊₄C₂² = D₆⋊D₁₄	φ: C₂²/C₁ → C₂² ⊆ Out C₆×D₇	84	4+	(C6xD7):4C2^2	336,163
(C₆×D₇)⋊₅C₂² = C₂×C₂₁⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₆×D₇	168		(C6xD7):5C2^2	336,157
(C₆×D₇)⋊₆C₂² = C₂×C₃⋊D₂₈	φ: C₂²/C₂ → C₂ ⊆ Out C₆×D₇	168		(C6xD7):6C2^2	336,158
(C₆×D₇)⋊₇C₂² = D₇×C₃⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₆×D₇	84	4	(C6xD7):7C2^2	336,161
(C₆×D₇)⋊₈C₂² = C₂²×S₃×D₇	φ: C₂²/C₂ → C₂ ⊆ Out C₆×D₇	84		(C6xD7):8C2^2	336,219
(C₆×D₇)⋊₉C₂² = C₆×D₂₈	φ: C₂²/C₂ → C₂ ⊆ Out C₆×D₇	168		(C6xD7):9C2^2	336,176
(C₆×D₇)⋊₁₀C₂² = C₃×D₄×D₇	φ: C₂²/C₂ → C₂ ⊆ Out C₆×D₇	84	4	(C6xD7):10C2^2	336,178
(C₆×D₇)⋊₁₁C₂² = C₆×C₇⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₆×D₇	168		(C6xD7):11C2^2	336,183

Non-split extensions G=N.Q with N=C₆×D₇ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆×D₇).₁C₂² = D₂₈⋊₅S₃	φ: C₂²/C₁ → C₂² ⊆ Out C₆×D₇	168	4-	(C6xD7).1C2^2	336,138
(C₆×D₇).₂C₂² = D₂₈⋊S₃	φ: C₂²/C₁ → C₂² ⊆ Out C₆×D₇	168	4	(C6xD7).2C2^2	336,139
(C₆×D₇).₃C₂² = Dic₇.D₆	φ: C₂²/C₁ → C₂² ⊆ Out C₆×D₇	168	4	(C6xD7).3C2^2	336,152
(C₆×D₇).₄C₂² = C₄₂.C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₆×D₇	168	4-	(C6xD7).4C2^2	336,153
(C₆×D₇).₅C₂² = D₇×Dic₆	φ: C₂²/C₂ → C₂ ⊆ Out C₆×D₇	168	4-	(C6xD7).5C2^2	336,137
(C₆×D₇).₆C₂² = D₆.D₁₄	φ: C₂²/C₂ → C₂ ⊆ Out C₆×D₇	168	4	(C6xD7).6C2^2	336,144
(C₆×D₇).₇C₂² = D₁₂⋊₅D₇	φ: C₂²/C₂ → C₂ ⊆ Out C₆×D₇	168	4-	(C6xD7).7C2^2	336,145
(C₆×D₇).₈C₂² = D₁₄.D₆	φ: C₂²/C₂ → C₂ ⊆ Out C₆×D₇	168	4+	(C6xD7).8C2^2	336,146
(C₆×D₇).₉C₂² = C₄×S₃×D₇	φ: C₂²/C₂ → C₂ ⊆ Out C₆×D₇	84	4	(C6xD7).9C2^2	336,147
(C₆×D₇).₁₀C₂² = D₇×D₁₂	φ: C₂²/C₂ → C₂ ⊆ Out C₆×D₇	84	4+	(C6xD7).10C2^2	336,148
(C₆×D₇).₁₁C₂² = C₂×Dic₃×D₇	φ: C₂²/C₂ → C₂ ⊆ Out C₆×D₇	168		(C6xD7).11C2^2	336,151
(C₆×D₇).₁₂C₂² = C₃×C₄○D₂₈	φ: C₂²/C₂ → C₂ ⊆ Out C₆×D₇	168	2	(C6xD7).12C2^2	336,177
(C₆×D₇).₁₃C₂² = C₃×D₄⋊₂D₇	φ: C₂²/C₂ → C₂ ⊆ Out C₆×D₇	168	4	(C6xD7).13C2^2	336,179
(C₆×D₇).₁₄C₂² = C₃×Q₈⋊₂D₇	φ: C₂²/C₂ → C₂ ⊆ Out C₆×D₇	168	4	(C6xD7).14C2^2	336,181
(C₆×D₇).₁₅C₂² = D₇×C₂×C₁₂	φ: trivial image	168		(C6xD7).15C2^2	336,175
(C₆×D₇).₁₆C₂² = C₃×Q₈×D₇	φ: trivial image	168	4	(C6xD7).16C2^2	336,180

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