Extensions 1→N→G→Q→1 with N=C₄ and Q=Dic₁₇

Direct product G=N×Q with N=C₄ and Q=Dic₁₇

		d	ρ	Label	ID
C₄×Dic₁₇		272		C4xDic17	272,11

Semidirect products G=N:Q with N=C₄ and Q=Dic₁₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊Dic₁₇ = C₆₈⋊₃C₄	φ: Dic₁₇/C₃₄ → C₂ ⊆ Aut C₄	272		C4:Dic17	272,13

Non-split extensions G=N.Q with N=C₄ and Q=Dic₁₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.Dic₁₇ = C₆₈.₄C₄	φ: Dic₁₇/C₃₄ → C₂ ⊆ Aut C₄	136	2	C4.Dic17	272,10
C₄.₂Dic₁₇ = C₁₇⋊₄C₁₆	central extension (φ=1)	272	2	C4.2Dic17	272,1
C₄.₃Dic₁₇ = C₂×C₁₇⋊₃C₈	central extension (φ=1)	272		C4.3Dic17	272,9

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Extensions 1→N→G→Q→1 with N=C4 and Q=Dic17