Extensions 1→N→G→Q→1 with N=C₈ and Q=C₂xC₁₄

Direct product G=NxQ with N=C₈ and Q=C₂xC₁₄

		d	ρ	Label	ID
C₂²xC₅₆		224		C2^2xC56	224,164

Semidirect products G=N:Q with N=C₈ and Q=C₂xC₁₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈:(C₂xC₁₄) = C₇xC₈:C₂²	φ: C₂xC₁₄/C₇ → C₂² ⊆ Aut C₈	56	4	C8:(C2xC14)	224,171
C₈:₂(C₂xC₁₄) = C₁₄xD₈	φ: C₂xC₁₄/C₁₄ → C₂ ⊆ Aut C₈	112		C8:2(C2xC14)	224,167
C₈:₃(C₂xC₁₄) = C₁₄xSD₁₆	φ: C₂xC₁₄/C₁₄ → C₂ ⊆ Aut C₈	112		C8:3(C2xC14)	224,168
C₈:₄(C₂xC₁₄) = C₁₄xM₄(2)	φ: C₂xC₁₄/C₁₄ → C₂ ⊆ Aut C₈	112		C8:4(C2xC14)	224,165

Non-split extensions G=N.Q with N=C₈ and Q=C₂xC₁₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈.(C₂xC₁₄) = C₇xC₈.C₂²	φ: C₂xC₁₄/C₇ → C₂² ⊆ Aut C₈	112	4	C8.(C2xC14)	224,172
C₈.₂(C₂xC₁₄) = C₇xD₁₆	φ: C₂xC₁₄/C₁₄ → C₂ ⊆ Aut C₈	112	2	C8.2(C2xC14)	224,60
C₈.₃(C₂xC₁₄) = C₇xSD₃₂	φ: C₂xC₁₄/C₁₄ → C₂ ⊆ Aut C₈	112	2	C8.3(C2xC14)	224,61
C₈.₄(C₂xC₁₄) = C₇xQ₃₂	φ: C₂xC₁₄/C₁₄ → C₂ ⊆ Aut C₈	224	2	C8.4(C2xC14)	224,62
C₈.₅(C₂xC₁₄) = C₁₄xQ₁₆	φ: C₂xC₁₄/C₁₄ → C₂ ⊆ Aut C₈	224		C8.5(C2xC14)	224,169
C₈.₆(C₂xC₁₄) = C₇xC₄oD₈	φ: C₂xC₁₄/C₁₄ → C₂ ⊆ Aut C₈	112	2	C8.6(C2xC14)	224,170
C₈.₇(C₂xC₁₄) = C₇xC₈oD₄	φ: C₂xC₁₄/C₁₄ → C₂ ⊆ Aut C₈	112	2	C8.7(C2xC14)	224,166
C₈.₈(C₂xC₁₄) = C₇xM₅(2)	central extension (φ=1)	112	2	C8.8(C2xC14)	224,59

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