Extensions 1→N→G→Q→1 with N=C₁₄ and Q=C₂×C₈

Direct product G=N×Q with N=C₁₄ and Q=C₂×C₈

		d	ρ	Label	ID
C₂²×C₅₆		224		C2^2xC56	224,164

Semidirect products G=N:Q with N=C₁₄ and Q=C₂×C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₄⋊₁(C₂×C₈) = D₇×C₂×C₈	φ: C₂×C₈/C₈ → C₂ ⊆ Aut C₁₄	112		C14:1(C2xC8)	224,94
C₁₄⋊₂(C₂×C₈) = C₂²×C₇⋊C₈	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Aut C₁₄	224		C14:2(C2xC8)	224,115

Non-split extensions G=N.Q with N=C₁₄ and Q=C₂×C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₄.₁(C₂×C₈) = D₇×C₁₆	φ: C₂×C₈/C₈ → C₂ ⊆ Aut C₁₄	112	2	C14.1(C2xC8)	224,3
C₁₄.₂(C₂×C₈) = C₁₆⋊D₇	φ: C₂×C₈/C₈ → C₂ ⊆ Aut C₁₄	112	2	C14.2(C2xC8)	224,4
C₁₄.₃(C₂×C₈) = C₈×Dic₇	φ: C₂×C₈/C₈ → C₂ ⊆ Aut C₁₄	224		C14.3(C2xC8)	224,19
C₁₄.₄(C₂×C₈) = Dic₇⋊C₈	φ: C₂×C₈/C₈ → C₂ ⊆ Aut C₁₄	224		C14.4(C2xC8)	224,20
C₁₄.₅(C₂×C₈) = D₁₄⋊C₈	φ: C₂×C₈/C₈ → C₂ ⊆ Aut C₁₄	112		C14.5(C2xC8)	224,26
C₁₄.₆(C₂×C₈) = C₄×C₇⋊C₈	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Aut C₁₄	224		C14.6(C2xC8)	224,8
C₁₄.₇(C₂×C₈) = C₂₈⋊C₈	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Aut C₁₄	224		C14.7(C2xC8)	224,10
C₁₄.₈(C₂×C₈) = C₂×C₇⋊C₁₆	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Aut C₁₄	224		C14.8(C2xC8)	224,17
C₁₄.₉(C₂×C₈) = C₂₈.C₈	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Aut C₁₄	112	2	C14.9(C2xC8)	224,18
C₁₄.₁₀(C₂×C₈) = C₂₈.₅₅D₄	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Aut C₁₄	112		C14.10(C2xC8)	224,36
C₁₄.₁₁(C₂×C₈) = C₇×C₂²⋊C₈	central extension (φ=1)	112		C14.11(C2xC8)	224,47
C₁₄.₁₂(C₂×C₈) = C₇×C₄⋊C₈	central extension (φ=1)	224		C14.12(C2xC8)	224,54
C₁₄.₁₃(C₂×C₈) = C₇×M₅(2)	central extension (φ=1)	112	2	C14.13(C2xC8)	224,59

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