Extensions 1→N→G→Q→1 with N=C₂² and Q=C₂xC₃₄

Direct product G=NxQ with N=C₂² and Q=C₂xC₃₄

		d	ρ	Label	ID
C₂³xC₃₄		272		C2^3xC34	272,54

Semidirect products G=N:Q with N=C₂² and Q=C₂xC₃₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²:(C₂xC₃₄) = D₄xC₃₄	φ: C₂xC₃₄/C₃₄ → C₂ ⊆ Aut C₂²	136		C2^2:(C2xC34)	272,47

Non-split extensions G=N.Q with N=C₂² and Q=C₂xC₃₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².(C₂xC₃₄) = C₄oD₄xC₁₇	φ: C₂xC₃₄/C₃₄ → C₂ ⊆ Aut C₂²	136	2	C2^2.(C2xC34)	272,49
C₂².₂(C₂xC₃₄) = C₂²:C₄xC₁₇	central extension (φ=1)	136		C2^2.2(C2xC34)	272,21
C₂².₃(C₂xC₃₄) = C₄:C₄xC₁₇	central extension (φ=1)	272		C2^2.3(C2xC34)	272,22
C₂².₄(C₂xC₃₄) = Q₈xC₃₄	central extension (φ=1)	272		C2^2.4(C2xC34)	272,48

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