Extensions 1→N→G→Q→1 with N=C₂³⋊C₄ and Q=C₁₄

Direct product G=N×Q with N=C₂³⋊C₄ and Q=C₁₄

		d	ρ	Label	ID
C₁₄×C₂³⋊C₄		112		C14xC2^3:C4	448,817

Semidirect products G=N:Q with N=C₂³⋊C₄ and Q=C₁₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₂³⋊C₄⋊₁C₁₄ = C₇×C₂≀C₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₂³⋊C₄	56	4	C2^3:C4:1C14	448,155
C₂³⋊C₄⋊₂C₁₄ = C₇×C₄²⋊C₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₂³⋊C₄	56	4	C2^3:C4:2C14	448,157
C₂³⋊C₄⋊₃C₁₄ = C₇×C₂≀C₂²	φ: C₁₄/C₇ → C₂ ⊆ Out C₂³⋊C₄	56	4	C2^3:C4:3C14	448,865
C₂³⋊C₄⋊₄C₁₄ = C₇×C₂³.₇D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₂³⋊C₄	112	4	C2^3:C4:4C14	448,866
C₂³⋊C₄⋊₅C₁₄ = C₇×C₂³.C₂³	φ: trivial image	112	4	C2^3:C4:5C14	448,818

Non-split extensions G=N.Q with N=C₂³⋊C₄ and Q=C₁₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₂³⋊C₄.₁C₁₄ = C₇×C₂³.D₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₂³⋊C₄	112	4	C2^3:C4.1C14	448,156
C₂³⋊C₄.₂C₁₄ = C₇×C₄²⋊₃C₄	φ: C₁₄/C₇ → C₂ ⊆ Out C₂³⋊C₄	112	4	C2^3:C4.2C14	448,158

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