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

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

		d	ρ	Label	ID
C₂³×C₁₄		112		C2^3xC14	112,43

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³⋊C₁₄ = C₂×F₈	φ: C₁₄/C₂ → C₇ ⊆ Aut C₂³	14	7+	C2^3:C14	112,41
C₂³⋊₂C₁₄ = D₄×C₁₄	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂³	56		C2^3:2C14	112,38

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³.C₁₄ = C₇×C₂²⋊C₄	φ: C₁₄/C₇ → C₂ ⊆ Aut C₂³	56		C2^3.C14	112,20

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