Extensions 1→N→G→Q→1 with N=S₃×C₂₈ and Q=C₂

Direct product G=N×Q with N=S₃×C₂₈ and Q=C₂

		d	ρ	Label	ID
S₃×C₂×C₂₈		168		S3xC2xC28	336,185

Semidirect products G=N:Q with N=S₃×C₂₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₂₈)⋊₁C₂ = D₂₈⋊₅S₃	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₂₈	168	4-	(S3xC28):1C2	336,138
(S₃×C₂₈)⋊₂C₂ = D₈₄⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₂₈	168	4+	(S3xC28):2C2	336,142
(S₃×C₂₈)⋊₃C₂ = S₃×D₂₈	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₂₈	84	4+	(S3xC28):3C2	336,149
(S₃×C₂₈)⋊₄C₂ = D₆.D₁₄	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₂₈	168	4	(S3xC28):4C2	336,144
(S₃×C₂₈)⋊₅C₂ = C₄×S₃×D₇	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₂₈	84	4	(S3xC28):5C2	336,147
(S₃×C₂₈)⋊₆C₂ = S₃×C₇×D₄	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₂₈	84	4	(S3xC28):6C2	336,188
(S₃×C₂₈)⋊₇C₂ = C₇×D₄⋊₂S₃	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₂₈	168	4	(S3xC28):7C2	336,189
(S₃×C₂₈)⋊₈C₂ = C₇×Q₈⋊₃S₃	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₂₈	168	4	(S3xC28):8C2	336,191
(S₃×C₂₈)⋊₉C₂ = C₇×C₄○D₁₂	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₂₈	168	2	(S3xC28):9C2	336,187

Non-split extensions G=N.Q with N=S₃×C₂₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₂₈).₁C₂ = S₃×Dic₁₄	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₂₈	168	4-	(S3xC28).1C2	336,140
(S₃×C₂₈).₂C₂ = S₃×C₇⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₂₈	168	4	(S3xC28).2C2	336,24
(S₃×C₂₈).₃C₂ = D₆.Dic₇	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₂₈	168	4	(S3xC28).3C2	336,27
(S₃×C₂₈).₄C₂ = S₃×C₇×Q₈	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₂₈	168	4	(S3xC28).4C2	336,190
(S₃×C₂₈).₅C₂ = C₇×C₈⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out S₃×C₂₈	168	2	(S3xC28).5C2	336,75
(S₃×C₂₈).₆C₂ = S₃×C₅₆	φ: trivial image	168	2	(S3xC28).6C2	336,74

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