Extensions 1→N→G→Q→1 with N=C₃₄ and Q=Dic₃

Direct product G=N×Q with N=C₃₄ and Q=Dic₃

		d	ρ	Label	ID
Dic₃×C₃₄		408		Dic3xC34	408,23

Semidirect products G=N:Q with N=C₃₄ and Q=Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₄⋊Dic₃ = C₂×C₅₁⋊C₄	φ: Dic₃/C₃ → C₄ ⊆ Aut C₃₄	102	4	C34:Dic3	408,40
C₃₄⋊₂Dic₃ = C₂×Dic₅₁	φ: Dic₃/C₆ → C₂ ⊆ Aut C₃₄	408		C34:2Dic3	408,28

Non-split extensions G=N.Q with N=C₃₄ and Q=Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₄.Dic₃ = C₅₁⋊₃C₈	φ: Dic₃/C₃ → C₄ ⊆ Aut C₃₄	408	4	C34.Dic3	408,6
C₃₄.₂Dic₃ = C₅₁⋊₅C₈	φ: Dic₃/C₆ → C₂ ⊆ Aut C₃₄	408	2	C34.2Dic3	408,3
C₃₄.₃Dic₃ = C₁₇×C₃⋊C₈	central extension (φ=1)	408	2	C34.3Dic3	408,1

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Extensions 1→N→G→Q→1 with N=C34 and Q=Dic3