Extensions 1→N→G→Q→1 with N=C₂² and Q=D₃₄

Direct product G=N×Q with N=C₂² and Q=D₃₄

		d	ρ	Label	ID
C₂³×D₁₇		136		C2^3xD17	272,53

Semidirect products G=N:Q with N=C₂² and Q=D₃₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊₁D₃₄ = D₄×D₁₇	φ: D₃₄/D₁₇ → C₂ ⊆ Aut C₂²	68	4+	C2^2:1D34	272,40
C₂²⋊₂D₃₄ = C₂×C₁₇⋊D₄	φ: D₃₄/C₃₄ → C₂ ⊆ Aut C₂²	136		C2^2:2D34	272,45

Non-split extensions G=N.Q with N=C₂² and Q=D₃₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁D₃₄ = D₄⋊₂D₁₇	φ: D₃₄/D₁₇ → C₂ ⊆ Aut C₂²	136	4-	C2^2.1D34	272,41
C₂².₂D₃₄ = D₆₈⋊₅C₂	φ: D₃₄/C₃₄ → C₂ ⊆ Aut C₂²	136	2	C2^2.2D34	272,39
C₂².₃D₃₄ = C₄×Dic₁₇	central extension (φ=1)	272		C2^2.3D34	272,11
C₂².₄D₃₄ = C₃₄.D₄	central extension (φ=1)	272		C2^2.4D34	272,12
C₂².₅D₃₄ = C₆₈⋊₃C₄	central extension (φ=1)	272		C2^2.5D34	272,13
C₂².₆D₃₄ = D₃₄⋊C₄	central extension (φ=1)	136		C2^2.6D34	272,14
C₂².₇D₃₄ = C₂³.D₁₇	central extension (φ=1)	136		C2^2.7D34	272,19
C₂².₈D₃₄ = C₂×Dic₃₄	central extension (φ=1)	272		C2^2.8D34	272,36
C₂².₉D₃₄ = C₂×C₄×D₁₇	central extension (φ=1)	136		C2^2.9D34	272,37
C₂².₁₀D₃₄ = C₂×D₆₈	central extension (φ=1)	136		C2^2.10D34	272,38
C₂².₁₁D₃₄ = C₂²×Dic₁₇	central extension (φ=1)	272		C2^2.11D34	272,44

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