Extensions 1→N→G→Q→1 with N=C₃×Dic₁₇ and Q=C₂

Direct product G=N×Q with N=C₃×Dic₁₇ and Q=C₂

		d	ρ	Label	ID
C₆×Dic₁₇		408		C6xDic17	408,18

Semidirect products G=N:Q with N=C₃×Dic₁₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×Dic₁₇)⋊₁C₂ = S₃×Dic₁₇	φ: C₂/C₁ → C₂ ⊆ Out C₃×Dic₁₇	204	4-	(C3xDic17):1C2	408,8
(C₃×Dic₁₇)⋊₂C₂ = D₅₁⋊₂C₄	φ: C₂/C₁ → C₂ ⊆ Out C₃×Dic₁₇	204	4+	(C3xDic17):2C2	408,9
(C₃×Dic₁₇)⋊₃C₂ = C₁₇⋊D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₃×Dic₁₇	204	4+	(C3xDic17):3C2	408,12
(C₃×Dic₁₇)⋊₄C₂ = C₃×C₁₇⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₃×Dic₁₇	204	2	(C3xDic17):4C2	408,19
(C₃×Dic₁₇)⋊₅C₂ = C₁₂×D₁₇	φ: trivial image	204	2	(C3xDic17):5C2	408,16

Non-split extensions G=N.Q with N=C₃×Dic₁₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×Dic₁₇).₁C₂ = C₅₁⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₃×Dic₁₇	408	4-	(C3xDic17).1C2	408,13
(C₃×Dic₁₇).₂C₂ = C₃×Dic₃₄	φ: C₂/C₁ → C₂ ⊆ Out C₃×Dic₁₇	408	2	(C3xDic17).2C2	408,15
(C₃×Dic₁₇).₃C₂ = C₅₁⋊₃C₈	φ: C₂/C₁ → C₂ ⊆ Out C₃×Dic₁₇	408	4	(C3xDic17).3C2	408,6
(C₃×Dic₁₇).₄C₂ = C₃×C₁₇⋊₂C₈	φ: C₂/C₁ → C₂ ⊆ Out C₃×Dic₁₇	408	4	(C3xDic17).4C2	408,5

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