Extensions 1→N→G→Q→1 with N=C₁₂ and Q=C₃₄

Direct product G=N×Q with N=C₁₂ and Q=C₃₄

		d	ρ	Label	ID
C₂×C₂₀₄		408		C2xC204	408,30

Semidirect products G=N:Q with N=C₁₂ and Q=C₃₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₂⋊₁C₃₄ = C₁₇×D₁₂	φ: C₃₄/C₁₇ → C₂ ⊆ Aut C₁₂	204	2	C12:1C34	408,22
C₁₂⋊₂C₃₄ = S₃×C₆₈	φ: C₃₄/C₁₇ → C₂ ⊆ Aut C₁₂	204	2	C12:2C34	408,21
C₁₂⋊₃C₃₄ = D₄×C₅₁	φ: C₃₄/C₁₇ → C₂ ⊆ Aut C₁₂	204	2	C12:3C34	408,31

Non-split extensions G=N.Q with N=C₁₂ and Q=C₃₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₂.₁C₃₄ = C₁₇×Dic₆	φ: C₃₄/C₁₇ → C₂ ⊆ Aut C₁₂	408	2	C12.1C34	408,20
C₁₂.₂C₃₄ = C₁₇×C₃⋊C₈	φ: C₃₄/C₁₇ → C₂ ⊆ Aut C₁₂	408	2	C12.2C34	408,1
C₁₂.₃C₃₄ = Q₈×C₅₁	φ: C₃₄/C₁₇ → C₂ ⊆ Aut C₁₂	408	2	C12.3C34	408,32

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Extensions 1→N→G→Q→1 with N=C12 and Q=C34