Extensions 1→N→G→Q→1 with N=C₂×C₄ and Q=C₃₄

Direct product G=N×Q with N=C₂×C₄ and Q=C₃₄

		d	ρ	Label	ID
C₂²×C₆₈		272		C2^2xC68	272,46

Semidirect products G=N:Q with N=C₂×C₄ and Q=C₃₄

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₄)⋊₁C₃₄ = C₂²⋊C₄×C₁₇	φ: C₃₄/C₁₇ → C₂ ⊆ Aut C₂×C₄	136		(C2xC4):1C34	272,21
(C₂×C₄)⋊₂C₃₄ = D₄×C₃₄	φ: C₃₄/C₁₇ → C₂ ⊆ Aut C₂×C₄	136		(C2xC4):2C34	272,47
(C₂×C₄)⋊₃C₃₄ = C₄○D₄×C₁₇	φ: C₃₄/C₁₇ → C₂ ⊆ Aut C₂×C₄	136	2	(C2xC4):3C34	272,49

Non-split extensions G=N.Q with N=C₂×C₄ and Q=C₃₄

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₄).₁C₃₄ = C₄⋊C₄×C₁₇	φ: C₃₄/C₁₇ → C₂ ⊆ Aut C₂×C₄	272		(C2xC4).1C34	272,22
(C₂×C₄).₂C₃₄ = M₄(2)×C₁₇	φ: C₃₄/C₁₇ → C₂ ⊆ Aut C₂×C₄	136	2	(C2xC4).2C34	272,24
(C₂×C₄).₃C₃₄ = Q₈×C₃₄	φ: C₃₄/C₁₇ → C₂ ⊆ Aut C₂×C₄	272		(C2xC4).3C34	272,48

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Extensions 1→N→G→Q→1 with N=C2×C4 and Q=C34