Extensions 1→N→G→Q→1 with N=C₆ and Q=D₃₄

Direct product G=N×Q with N=C₆ and Q=D₃₄

		d	ρ	Label	ID
C₂×C₆×D₁₇		204		C2xC6xD17	408,43

Semidirect products G=N:Q with N=C₆ and Q=D₃₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆⋊₁D₃₄ = C₂×S₃×D₁₇	φ: D₃₄/D₁₇ → C₂ ⊆ Aut C₆	102	4+	C6:1D34	408,41
C₆⋊₂D₃₄ = C₂²×D₅₁	φ: D₃₄/C₃₄ → C₂ ⊆ Aut C₆	204		C6:2D34	408,45

Non-split extensions G=N.Q with N=C₆ and Q=D₃₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁D₃₄ = Dic₃×D₁₇	φ: D₃₄/D₁₇ → C₂ ⊆ Aut C₆	204	4-	C6.1D34	408,7
C₆.₂D₃₄ = S₃×Dic₁₇	φ: D₃₄/D₁₇ → C₂ ⊆ Aut C₆	204	4-	C6.2D34	408,8
C₆.₃D₃₄ = D₅₁⋊₂C₄	φ: D₃₄/D₁₇ → C₂ ⊆ Aut C₆	204	4+	C6.3D34	408,9
C₆.₄D₃₄ = C₅₁⋊D₄	φ: D₃₄/D₁₇ → C₂ ⊆ Aut C₆	204	4-	C6.4D34	408,10
C₆.₅D₃₄ = C₃⋊D₆₈	φ: D₃₄/D₁₇ → C₂ ⊆ Aut C₆	204	4+	C6.5D34	408,11
C₆.₆D₃₄ = C₁₇⋊D₁₂	φ: D₃₄/D₁₇ → C₂ ⊆ Aut C₆	204	4+	C6.6D34	408,12
C₆.₇D₃₄ = C₅₁⋊Q₈	φ: D₃₄/D₁₇ → C₂ ⊆ Aut C₆	408	4-	C6.7D34	408,13
C₆.₈D₃₄ = Dic₁₀₂	φ: D₃₄/C₃₄ → C₂ ⊆ Aut C₆	408	2-	C6.8D34	408,25
C₆.₉D₃₄ = C₄×D₅₁	φ: D₃₄/C₃₄ → C₂ ⊆ Aut C₆	204	2	C6.9D34	408,26
C₆.₁₀D₃₄ = D₂₀₄	φ: D₃₄/C₃₄ → C₂ ⊆ Aut C₆	204	2+	C6.10D34	408,27
C₆.₁₁D₃₄ = C₂×Dic₅₁	φ: D₃₄/C₃₄ → C₂ ⊆ Aut C₆	408		C6.11D34	408,28
C₆.₁₂D₃₄ = C₅₁⋊₇D₄	φ: D₃₄/C₃₄ → C₂ ⊆ Aut C₆	204	2	C6.12D34	408,29
C₆.₁₃D₃₄ = C₃×Dic₃₄	central extension (φ=1)	408	2	C6.13D34	408,15
C₆.₁₄D₃₄ = C₁₂×D₁₇	central extension (φ=1)	204	2	C6.14D34	408,16
C₆.₁₅D₃₄ = C₃×D₆₈	central extension (φ=1)	204	2	C6.15D34	408,17
C₆.₁₆D₃₄ = C₆×Dic₁₇	central extension (φ=1)	408		C6.16D34	408,18
C₆.₁₇D₃₄ = C₃×C₁₇⋊D₄	central extension (φ=1)	204	2	C6.17D34	408,19

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