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

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

		d	ρ	Label	ID
C₄×C₁₇⋊C₄		68	4	C4xC17:C4	272,31

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊(C₁₇⋊C₄) = C₆₈⋊C₄	φ: C₁₇⋊C₄/D₁₇ → C₂ ⊆ Aut C₄	68	4	C4:(C17:C4)	272,32

Non-split extensions G=N.Q with N=C₄ and Q=C₁₇⋊C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.(C₁₇⋊C₄) = D₃₄.₄C₄	φ: C₁₇⋊C₄/D₁₇ → C₂ ⊆ Aut C₄	136	4	C4.(C17:C4)	272,30
C₄.₂(C₁₇⋊C₄) = C₁₇⋊₃C₁₆	central extension (φ=1)	272	4	C4.2(C17:C4)	272,3
C₄.₃(C₁₇⋊C₄) = C₆₈.C₄	central extension (φ=1)	136	4	C4.3(C17:C4)	272,29

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