Extensions 1→N→G→Q→1 with N=C₁₇ and Q=M₄(2)

Direct product G=N×Q with N=C₁₇ and Q=M₄(2)

		d	ρ	Label	ID
M₄(2)×C₁₇		136	2	M4(2)xC17	272,24

Semidirect products G=N:Q with N=C₁₇ and Q=M₄(2)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₇⋊₁M₄(2) = D₃₄.₄C₄	φ: M₄(2)/C₄ → C₄ ⊆ Aut C₁₇	136	4	C17:1M4(2)	272,30
C₁₇⋊₂M₄(2) = C₁₇⋊M₄(2)	φ: M₄(2)/C₂² → C₄ ⊆ Aut C₁₇	136	4-	C17:2M4(2)	272,34
C₁₇⋊₃M₄(2) = C₈⋊D₁₇	φ: M₄(2)/C₈ → C₂ ⊆ Aut C₁₇	136	2	C17:3M4(2)	272,5
C₁₇⋊₄M₄(2) = C₆₈.₄C₄	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Aut C₁₇	136	2	C17:4M4(2)	272,10

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