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

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

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

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

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₁₇⋊₁C₄ = C₃₄.D₄	φ: C₄/C₂ → C₂ ⊆ Out Dic₁₇	272		Dic17:1C4	272,12
Dic₁₇⋊₂C₄ = C₄×C₁₇⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out Dic₁₇	68	4	Dic17:2C4	272,31
Dic₁₇⋊₃C₄ = C₆₈⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out Dic₁₇	68	4	Dic17:3C4	272,32

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

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₁₇.C₄ = C₃₄.C₈	φ: C₄/C₁ → C₄ ⊆ Out Dic₁₇	272	8-	Dic17.C4	272,28
Dic₁₇.₂C₄ = C₈⋊D₁₇	φ: C₄/C₂ → C₂ ⊆ Out Dic₁₇	136	2	Dic17.2C4	272,5
Dic₁₇.₃C₄ = C₂×C₁₇⋊₂C₈	φ: C₄/C₂ → C₂ ⊆ Out Dic₁₇	272		Dic17.3C4	272,33
Dic₁₇.₄C₄ = C₁₇⋊M₄(2)	φ: C₄/C₂ → C₂ ⊆ Out Dic₁₇	136	4-	Dic17.4C4	272,34
Dic₁₇.₅C₄ = C₈×D₁₇	φ: trivial image	136	2	Dic17.5C4	272,4

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