Extensions 1→N→G→Q→1 with N=C₁₄ and Q=C₈.C₄

Direct product G=N×Q with N=C₁₄ and Q=C₈.C₄

		d	ρ	Label	ID
C₁₄×C₈.C₄		224		C14xC8.C4	448,837

Semidirect products G=N:Q with N=C₁₄ and Q=C₈.C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₄⋊₁(C₈.C₄) = C₂×C₅₆.C₄	φ: C₈.C₄/C₂×C₈ → C₂ ⊆ Aut C₁₄	224		C14:1(C8.C4)	448,641
C₁₄⋊₂(C₈.C₄) = C₂×C₂₈.₅₃D₄	φ: C₈.C₄/M₄(2) → C₂ ⊆ Aut C₁₄	224		C14:2(C8.C4)	448,657

Non-split extensions G=N.Q with N=C₁₄ and Q=C₈.C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₄.₁(C₈.C₄) = C₅₆⋊₂C₈	φ: C₈.C₄/C₂×C₈ → C₂ ⊆ Aut C₁₄	448		C14.1(C8.C4)	448,14
C₁₄.₂(C₈.C₄) = C₅₆⋊₁C₈	φ: C₈.C₄/C₂×C₈ → C₂ ⊆ Aut C₁₄	448		C14.2(C8.C4)	448,15
C₁₄.₃(C₈.C₄) = C₂₈.₁₀C₄²	φ: C₈.C₄/C₂×C₈ → C₂ ⊆ Aut C₁₄	224		C14.3(C8.C4)	448,109
C₁₄.₄(C₈.C₄) = C₂₈.₅₃D₈	φ: C₈.C₄/M₄(2) → C₂ ⊆ Aut C₁₄	448		C14.4(C8.C4)	448,36
C₁₄.₅(C₈.C₄) = C₂₈.₃₉SD₁₆	φ: C₈.C₄/M₄(2) → C₂ ⊆ Aut C₁₄	448		C14.5(C8.C4)	448,37
C₁₄.₆(C₈.C₄) = C₂₈.₄C₄²	φ: C₈.C₄/M₄(2) → C₂ ⊆ Aut C₁₄	224		C14.6(C8.C4)	448,115
C₁₄.₇(C₈.C₄) = C₇×C₈⋊₂C₈	central extension (φ=1)	448		C14.7(C8.C4)	448,138
C₁₄.₈(C₈.C₄) = C₇×C₈⋊₁C₈	central extension (φ=1)	448		C14.8(C8.C4)	448,139
C₁₄.₉(C₈.C₄) = C₇×C₄.C₄²	central extension (φ=1)	224		C14.9(C8.C4)	448,145

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