Extensions 1→N→G→Q→1 with N=C₄xD₁₇ and Q=C₂

Direct product G=NxQ with N=C₄xD₁₇ and Q=C₂

		d	ρ	Label	ID
C₂xC₄xD₁₇		136		C2xC4xD17	272,37

Semidirect products G=N:Q with N=C₄xD₁₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄xD₁₇):₁C₂ = D₄xD₁₇	φ: C₂/C₁ → C₂ ⊆ Out C₄xD₁₇	68	4+	(C4xD17):1C2	272,40
(C₄xD₁₇):₂C₂ = D₄:₂D₁₇	φ: C₂/C₁ → C₂ ⊆ Out C₄xD₁₇	136	4-	(C4xD17):2C2	272,41
(C₄xD₁₇):₃C₂ = D₆₈:C₂	φ: C₂/C₁ → C₂ ⊆ Out C₄xD₁₇	136	4+	(C4xD17):3C2	272,43
(C₄xD₁₇):₄C₂ = D₆₈:₅C₂	φ: C₂/C₁ → C₂ ⊆ Out C₄xD₁₇	136	2	(C4xD17):4C2	272,39

Non-split extensions G=N.Q with N=C₄xD₁₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄xD₁₇).₁C₂ = Q₈xD₁₇	φ: C₂/C₁ → C₂ ⊆ Out C₄xD₁₇	136	4-	(C4xD17).1C2	272,42
(C₄xD₁₇).₂C₂ = C₈:D₁₇	φ: C₂/C₁ → C₂ ⊆ Out C₄xD₁₇	136	2	(C4xD17).2C2	272,5
(C₄xD₁₇).₃C₂ = D₃₄.₄C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄xD₁₇	136	4	(C4xD17).3C2	272,30
(C₄xD₁₇).₄C₂ = C₆₈:C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄xD₁₇	68	4	(C4xD17).4C2	272,32
(C₄xD₁₇).₅C₂ = C₆₈.C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄xD₁₇	136	4	(C4xD17).5C2	272,29
(C₄xD₁₇).₆C₂ = C₄xC₁₇:C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄xD₁₇	68	4	(C4xD17).6C2	272,31
(C₄xD₁₇).₇C₂ = C₈xD₁₇	φ: trivial image	136	2	(C4xD17).7C2	272,4

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