Extensions 1→N→G→Q→1 with N=C₂×C₆ and Q=C₃₄

Direct product G=N×Q with N=C₂×C₆ and Q=C₃₄

		d	ρ	Label	ID
C₂²×C₁₀₂		408		C2^2xC102	408,46

Semidirect products G=N:Q with N=C₂×C₆ and Q=C₃₄

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₆)⋊₁C₃₄ = D₄×C₅₁	φ: C₃₄/C₁₇ → C₂ ⊆ Aut C₂×C₆	204	2	(C2xC6):1C34	408,31
(C₂×C₆)⋊₂C₃₄ = C₁₇×C₃⋊D₄	φ: C₃₄/C₁₇ → C₂ ⊆ Aut C₂×C₆	204	2	(C2xC6):2C34	408,24
(C₂×C₆)⋊₃C₃₄ = S₃×C₂×C₃₄	φ: C₃₄/C₁₇ → C₂ ⊆ Aut C₂×C₆	204		(C2xC6):3C34	408,44

Non-split extensions G=N.Q with N=C₂×C₆ and Q=C₃₄

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₆).C₃₄ = Dic₃×C₃₄	φ: C₃₄/C₁₇ → C₂ ⊆ Aut C₂×C₆	408		(C2xC6).C34	408,23

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Extensions 1→N→G→Q→1 with N=C2×C6 and Q=C34