Extensions 1→N→G→Q→1 with N=C₈ and Q=C₁₄

Direct product G=N×Q with N=C₈ and Q=C₁₄

		d	ρ	Label	ID
C₂×C₅₆		112		C2xC56	112,22

Semidirect products G=N:Q with N=C₈ and Q=C₁₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈⋊₁C₁₄ = C₇×D₈	φ: C₁₄/C₇ → C₂ ⊆ Aut C₈	56	2	C8:1C14	112,24
C₈⋊₂C₁₄ = C₇×SD₁₆	φ: C₁₄/C₇ → C₂ ⊆ Aut C₈	56	2	C8:2C14	112,25
C₈⋊₃C₁₄ = C₇×M₄(2)	φ: C₁₄/C₇ → C₂ ⊆ Aut C₈	56	2	C8:3C14	112,23

Non-split extensions G=N.Q with N=C₈ and Q=C₁₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈.C₁₄ = C₇×Q₁₆	φ: C₁₄/C₇ → C₂ ⊆ Aut C₈	112	2	C8.C14	112,26

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Extensions 1→N→G→Q→1 with N=C8 and Q=C14