Extensions 1→N→G→Q→1 with N=C₁₇⋊₃C₈ and Q=C₂

Direct product G=N×Q with N=C₁₇⋊₃C₈ and Q=C₂

		d	ρ	Label	ID
C₂×C₁₇⋊₃C₈		272		C2xC17:3C8	272,9

Semidirect products G=N:Q with N=C₁₇⋊₃C₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₁₇⋊₃C₈⋊₁C₂ = D₄⋊D₁₇	φ: C₂/C₁ → C₂ ⊆ Out C₁₇⋊₃C₈	136	4+	C17:3C8:1C2	272,15
C₁₇⋊₃C₈⋊₂C₂ = D₄.D₁₇	φ: C₂/C₁ → C₂ ⊆ Out C₁₇⋊₃C₈	136	4-	C17:3C8:2C2	272,16
C₁₇⋊₃C₈⋊₃C₂ = Q₈⋊D₁₇	φ: C₂/C₁ → C₂ ⊆ Out C₁₇⋊₃C₈	136	4+	C17:3C8:3C2	272,17
C₁₇⋊₃C₈⋊₄C₂ = C₈⋊D₁₇	φ: C₂/C₁ → C₂ ⊆ Out C₁₇⋊₃C₈	136	2	C17:3C8:4C2	272,5
C₁₇⋊₃C₈⋊₅C₂ = C₆₈.₄C₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₇⋊₃C₈	136	2	C17:3C8:5C2	272,10
C₁₇⋊₃C₈⋊₆C₂ = C₈×D₁₇	φ: trivial image	136	2	C17:3C8:6C2	272,4

Non-split extensions G=N.Q with N=C₁₇⋊₃C₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₁₇⋊₃C₈.₁C₂ = C₁₇⋊Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₇⋊₃C₈	272	4-	C17:3C8.1C2	272,18
C₁₇⋊₃C₈.₂C₂ = C₁₇⋊₃C₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₇⋊₃C₈	272	4	C17:3C8.2C2	272,3

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