Extensions 1→N→G→Q→1 with N=C₁₇ and Q=C₂²⋊C₄

Direct product G=N×Q with N=C₁₇ and Q=C₂²⋊C₄

		d	ρ	Label	ID
C₂²⋊C₄×C₁₇		136		C2^2:C4xC17	272,21

Semidirect products G=N:Q with N=C₁₇ and Q=C₂²⋊C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₇⋊(C₂²⋊C₄) = D₁₇.D₄	φ: C₂²⋊C₄/C₂² → C₄ ⊆ Aut C₁₇	68	4+	C17:(C2^2:C4)	272,35
C₁₇⋊₂(C₂²⋊C₄) = D₃₄⋊C₄	φ: C₂²⋊C₄/C₂×C₄ → C₂ ⊆ Aut C₁₇	136		C17:2(C2^2:C4)	272,14
C₁₇⋊₃(C₂²⋊C₄) = C₂³.D₁₇	φ: C₂²⋊C₄/C₂³ → C₂ ⊆ Aut C₁₇	136		C17:3(C2^2:C4)	272,19

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