Extensions 1→N→G→Q→1 with N=C₃₄ and Q=Q₈

Direct product G=N×Q with N=C₃₄ and Q=Q₈

		d	ρ	Label	ID
Q₈×C₃₄		272		Q8xC34	272,48

Semidirect products G=N:Q with N=C₃₄ and Q=Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₄⋊Q₈ = C₂×Dic₃₄	φ: Q₈/C₄ → C₂ ⊆ Aut C₃₄	272		C34:Q8	272,36

Non-split extensions G=N.Q with N=C₃₄ and Q=Q₈

extension	φ:Q→Aut N	d	Label	ID
C₃₄.₁Q₈ = C₃₄.D₄	φ: Q₈/C₄ → C₂ ⊆ Aut C₃₄	272	C34.1Q8	272,12
C₃₄.₂Q₈ = C₆₈⋊₃C₄	φ: Q₈/C₄ → C₂ ⊆ Aut C₃₄	272	C34.2Q8	272,13
C₃₄.₃Q₈ = C₄⋊C₄×C₁₇	central extension (φ=1)	272	C34.3Q8	272,22

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Extensions 1→N→G→Q→1 with N=C34 and Q=Q8