Extensions 1→N→G→Q→1 with N=C₁₇ and Q=C₄○D₄

Direct product G=N×Q with N=C₁₇ and Q=C₄○D₄

		d	ρ	Label	ID
C₄○D₄×C₁₇		136	2	C4oD4xC17	272,49

Semidirect products G=N:Q with N=C₁₇ and Q=C₄○D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₇⋊₁(C₄○D₄) = D₆₈⋊₅C₂	φ: C₄○D₄/C₂×C₄ → C₂ ⊆ Aut C₁₇	136	2	C17:1(C4oD4)	272,39
C₁₇⋊₂(C₄○D₄) = D₄⋊₂D₁₇	φ: C₄○D₄/D₄ → C₂ ⊆ Aut C₁₇	136	4-	C17:2(C4oD4)	272,41
C₁₇⋊₃(C₄○D₄) = D₆₈⋊C₂	φ: C₄○D₄/Q₈ → C₂ ⊆ Aut C₁₇	136	4+	C17:3(C4oD4)	272,43

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