Extensions 1→N→G→Q→1 with N=C₃₄ and Q=D₆

Direct product G=N×Q with N=C₃₄ and Q=D₆

		d	ρ	Label	ID
S₃×C₂×C₃₄		204		S3xC2xC34	408,44

Semidirect products G=N:Q with N=C₃₄ and Q=D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₄⋊₁D₆ = C₂×S₃×D₁₇	φ: D₆/S₃ → C₂ ⊆ Aut C₃₄	102	4+	C34:1D6	408,41
C₃₄⋊₂D₆ = C₂²×D₅₁	φ: D₆/C₆ → C₂ ⊆ Aut C₃₄	204		C34:2D6	408,45

Non-split extensions G=N.Q with N=C₃₄ and Q=D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₄.₁D₆ = Dic₃×D₁₇	φ: D₆/S₃ → C₂ ⊆ Aut C₃₄	204	4-	C34.1D6	408,7
C₃₄.₂D₆ = S₃×Dic₁₇	φ: D₆/S₃ → C₂ ⊆ Aut C₃₄	204	4-	C34.2D6	408,8
C₃₄.₃D₆ = D₅₁⋊₂C₄	φ: D₆/S₃ → C₂ ⊆ Aut C₃₄	204	4+	C34.3D6	408,9
C₃₄.₄D₆ = C₅₁⋊D₄	φ: D₆/S₃ → C₂ ⊆ Aut C₃₄	204	4-	C34.4D6	408,10
C₃₄.₅D₆ = C₃⋊D₆₈	φ: D₆/S₃ → C₂ ⊆ Aut C₃₄	204	4+	C34.5D6	408,11
C₃₄.₆D₆ = C₁₇⋊D₁₂	φ: D₆/S₃ → C₂ ⊆ Aut C₃₄	204	4+	C34.6D6	408,12
C₃₄.₇D₆ = C₅₁⋊Q₈	φ: D₆/S₃ → C₂ ⊆ Aut C₃₄	408	4-	C34.7D6	408,13
C₃₄.₈D₆ = Dic₁₀₂	φ: D₆/C₆ → C₂ ⊆ Aut C₃₄	408	2-	C34.8D6	408,25
C₃₄.₉D₆ = C₄×D₅₁	φ: D₆/C₆ → C₂ ⊆ Aut C₃₄	204	2	C34.9D6	408,26
C₃₄.₁₀D₆ = D₂₀₄	φ: D₆/C₆ → C₂ ⊆ Aut C₃₄	204	2+	C34.10D6	408,27
C₃₄.₁₁D₆ = C₂×Dic₅₁	φ: D₆/C₆ → C₂ ⊆ Aut C₃₄	408		C34.11D6	408,28
C₃₄.₁₂D₆ = C₅₁⋊₇D₄	φ: D₆/C₆ → C₂ ⊆ Aut C₃₄	204	2	C34.12D6	408,29
C₃₄.₁₃D₆ = C₁₇×Dic₆	central extension (φ=1)	408	2	C34.13D6	408,20
C₃₄.₁₄D₆ = S₃×C₆₈	central extension (φ=1)	204	2	C34.14D6	408,21
C₃₄.₁₅D₆ = C₁₇×D₁₂	central extension (φ=1)	204	2	C34.15D6	408,22
C₃₄.₁₆D₆ = Dic₃×C₃₄	central extension (φ=1)	408		C34.16D6	408,23
C₃₄.₁₇D₆ = C₁₇×C₃⋊D₄	central extension (φ=1)	204	2	C34.17D6	408,24

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