Extensions 1→N→G→Q→1 with N=Dic₁₇ and Q=C₆

Direct product G=N×Q with N=Dic₁₇ and Q=C₆

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

Semidirect products G=N:Q with N=Dic₁₇ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₁₇⋊C₆ = C₃×C₁₇⋊D₄	φ: C₆/C₃ → C₂ ⊆ Out Dic₁₇	204	2	Dic17:C6	408,19
Dic₁₇⋊₂C₆ = C₁₂×D₁₇	φ: trivial image	204	2	Dic17:2C6	408,16

Non-split extensions G=N.Q with N=Dic₁₇ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₁₇.₁C₆ = C₃×Dic₃₄	φ: C₆/C₃ → C₂ ⊆ Out Dic₁₇	408	2	Dic17.1C6	408,15
Dic₁₇.₂C₆ = C₃×C₁₇⋊₂C₈	φ: C₆/C₃ → C₂ ⊆ Out Dic₁₇	408	4	Dic17.2C6	408,5

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Extensions 1→N→G→Q→1 with N=Dic17 and Q=C6