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

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

		d	ρ	Label	ID
C₂²×C₁₇⋊C₄		68		C2^2xC17:C4	272,52

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

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

Non-split extensions G=N.Q with N=C₂² and Q=C₁₇⋊C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².(C₁₇⋊C₄) = C₁₇⋊M₄(2)	φ: C₁₇⋊C₄/D₁₇ → C₂ ⊆ Aut C₂²	136	4-	C2^2.(C17:C4)	272,34
C₂².₂(C₁₇⋊C₄) = C₂×C₁₇⋊₂C₈	central extension (φ=1)	272		C2^2.2(C17:C4)	272,33

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