Extensions 1→N→G→Q→1 with N=C₂³×D₇ and Q=C₂

Direct product G=N×Q with N=C₂³×D₇ and Q=C₂

		d	ρ	Label	ID
D₇×C₂⁴		112		D7xC2^4	224,196

Semidirect products G=N:Q with N=C₂³×D₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂³×D₇)⋊₁C₂ = C₂²⋊D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₂³×D₇	56		(C2^3xD7):1C2	224,77
(C₂³×D₇)⋊₂C₂ = C₂³⋊D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³×D₇	56		(C2^3xD7):2C2	224,132
(C₂³×D₇)⋊₃C₂ = C₂²×D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₂³×D₇	112		(C2^3xD7):3C2	224,176
(C₂³×D₇)⋊₄C₂ = C₂×D₄×D₇	φ: C₂/C₁ → C₂ ⊆ Out C₂³×D₇	56		(C2^3xD7):4C2	224,178
(C₂³×D₇)⋊₅C₂ = C₂²×C₇⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³×D₇	112		(C2^3xD7):5C2	224,188

Non-split extensions G=N.Q with N=C₂³×D₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂³×D₇).₁C₂ = D₇×C₂²⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³×D₇	56		(C2^3xD7).1C2	224,75
(C₂³×D₇).₂C₂ = C₂×D₁₄⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³×D₇	112		(C2^3xD7).2C2	224,122
(C₂³×D₇).₃C₂ = D₇×C₂²×C₄	φ: trivial image	112		(C2^3xD7).3C2	224,175

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