Extensions 1→N→G→Q→1 with N=C₃₄ and Q=C₂xC₆

Direct product G=NxQ with N=C₃₄ and Q=C₂xC₆

		d	ρ	Label	ID
C₂²xC₁₀₂		408		C2^2xC102	408,46

Semidirect products G=N:Q with N=C₃₄ and Q=C₂xC₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₄:(C₂xC₆) = C₂xC₆xD₁₇	φ: C₂xC₆/C₆ → C₂ ⊆ Aut C₃₄	204		C34:(C2xC6)	408,43

Non-split extensions G=N.Q with N=C₃₄ and Q=C₂xC₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₄.₁(C₂xC₆) = C₃xDic₃₄	φ: C₂xC₆/C₆ → C₂ ⊆ Aut C₃₄	408	2	C34.1(C2xC6)	408,15
C₃₄.₂(C₂xC₆) = C₁₂xD₁₇	φ: C₂xC₆/C₆ → C₂ ⊆ Aut C₃₄	204	2	C34.2(C2xC6)	408,16
C₃₄.₃(C₂xC₆) = C₃xD₆₈	φ: C₂xC₆/C₆ → C₂ ⊆ Aut C₃₄	204	2	C34.3(C2xC6)	408,17
C₃₄.₄(C₂xC₆) = C₆xDic₁₇	φ: C₂xC₆/C₆ → C₂ ⊆ Aut C₃₄	408		C34.4(C2xC6)	408,18
C₃₄.₅(C₂xC₆) = C₃xC₁₇:D₄	φ: C₂xC₆/C₆ → C₂ ⊆ Aut C₃₄	204	2	C34.5(C2xC6)	408,19
C₃₄.₆(C₂xC₆) = D₄xC₅₁	central extension (φ=1)	204	2	C34.6(C2xC6)	408,31
C₃₄.₇(C₂xC₆) = Q₈xC₅₁	central extension (φ=1)	408	2	C34.7(C2xC6)	408,32

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