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

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

		d	ρ	Label	ID
C₂xC₂₀₄		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 = C₁₇xD₁₂	φ: C₃₄/C₁₇ → C₂ ⊆ Aut C₁₂	204	2	C12:1C34	408,22
C₁₂:₂C₃₄ = S₃xC₆₈	φ: C₃₄/C₁₇ → C₂ ⊆ Aut C₁₂	204	2	C12:2C34	408,21
C₁₂:₃C₃₄ = D₄xC₅₁	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 = C₁₇xDic₆	φ: C₃₄/C₁₇ → C₂ ⊆ Aut C₁₂	408	2	C12.1C34	408,20
C₁₂.₂C₃₄ = C₁₇xC₃:C₈	φ: C₃₄/C₁₇ → C₂ ⊆ Aut C₁₂	408	2	C12.2C34	408,1
C₁₂.₃C₃₄ = Q₈xC₅₁	φ: C₃₄/C₁₇ → C₂ ⊆ Aut C₁₂	408	2	C12.3C34	408,32

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