Extensions 1→N→G→Q→1 with N=C₄×D₁₇ and Q=C₂

Direct product G=N×Q with N=C₄×D₁₇ and Q=C₂

		d	ρ	Label	ID
C₂×C₄×D₁₇		136		C2xC4xD17	272,37

Semidirect products G=N:Q with N=C₄×D₁₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×D₁₇)⋊₁C₂ = D₄×D₁₇	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₁₇	68	4+	(C4xD17):1C2	272,40
(C₄×D₁₇)⋊₂C₂ = D₄⋊₂D₁₇	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₁₇	136	4-	(C4xD17):2C2	272,41
(C₄×D₁₇)⋊₃C₂ = D₆₈⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₁₇	136	4+	(C4xD17):3C2	272,43
(C₄×D₁₇)⋊₄C₂ = D₆₈⋊₅C₂	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₁₇	136	2	(C4xD17):4C2	272,39

Non-split extensions G=N.Q with N=C₄×D₁₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×D₁₇).₁C₂ = Q₈×D₁₇	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₁₇	136	4-	(C4xD17).1C2	272,42
(C₄×D₁₇).₂C₂ = C₈⋊D₁₇	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₁₇	136	2	(C4xD17).2C2	272,5
(C₄×D₁₇).₃C₂ = D₃₄.₄C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₁₇	136	4	(C4xD17).3C2	272,30
(C₄×D₁₇).₄C₂ = C₆₈⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₁₇	68	4	(C4xD17).4C2	272,32
(C₄×D₁₇).₅C₂ = C₆₈.C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₁₇	136	4	(C4xD17).5C2	272,29
(C₄×D₁₇).₆C₂ = C₄×C₁₇⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₁₇	68	4	(C4xD17).6C2	272,31
(C₄×D₁₇).₇C₂ = C₈×D₁₇	φ: trivial image	136	2	(C4xD17).7C2	272,4

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