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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈⋊(C₂×C₁₄) = C₇×C₈⋊C₂²	φ: C₂×C₁₄/C₇ → C₂² ⊆ Aut C₈	56	4	C8:(C2xC14)	224,171
C₈⋊₂(C₂×C₁₄) = C₁₄×D₈	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Aut C₈	112		C8:2(C2xC14)	224,167
C₈⋊₃(C₂×C₁₄) = C₁₄×SD₁₆	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Aut C₈	112		C8:3(C2xC14)	224,168
C₈⋊₄(C₂×C₁₄) = C₁₄×M₄(2)	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Aut C₈	112		C8:4(C2xC14)	224,165

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈.(C₂×C₁₄) = C₇×C₈.C₂²	φ: C₂×C₁₄/C₇ → C₂² ⊆ Aut C₈	112	4	C8.(C2xC14)	224,172
C₈.₂(C₂×C₁₄) = C₇×D₁₆	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Aut C₈	112	2	C8.2(C2xC14)	224,60
C₈.₃(C₂×C₁₄) = C₇×SD₃₂	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Aut C₈	112	2	C8.3(C2xC14)	224,61
C₈.₄(C₂×C₁₄) = C₇×Q₃₂	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Aut C₈	224	2	C8.4(C2xC14)	224,62
C₈.₅(C₂×C₁₄) = C₁₄×Q₁₆	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Aut C₈	224		C8.5(C2xC14)	224,169
C₈.₆(C₂×C₁₄) = C₇×C₄○D₈	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Aut C₈	112	2	C8.6(C2xC14)	224,170
C₈.₇(C₂×C₁₄) = C₇×C₈○D₄	φ: C₂×C₁₄/C₁₄ → C₂ ⊆ Aut C₈	112	2	C8.7(C2xC14)	224,166
C₈.₈(C₂×C₁₄) = C₇×M₅(2)	central extension (φ=1)	112	2	C8.8(C2xC14)	224,59

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