Extensions 1→N→G→Q→1 with N=C₄ and Q=C₂xC₃₄

Direct product G=NxQ with N=C₄ and Q=C₂xC₃₄

		d	ρ	Label	ID
C₂²xC₆₈		272		C2^2xC68	272,46

Semidirect products G=N:Q with N=C₄ and Q=C₂xC₃₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄:(C₂xC₃₄) = D₄xC₃₄	φ: C₂xC₃₄/C₃₄ → C₂ ⊆ Aut C₄	136		C4:(C2xC34)	272,47

Non-split extensions G=N.Q with N=C₄ and Q=C₂xC₃₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁(C₂xC₃₄) = D₈xC₁₇	φ: C₂xC₃₄/C₃₄ → C₂ ⊆ Aut C₄	136	2	C4.1(C2xC34)	272,25
C₄.₂(C₂xC₃₄) = SD₁₆xC₁₇	φ: C₂xC₃₄/C₃₄ → C₂ ⊆ Aut C₄	136	2	C4.2(C2xC34)	272,26
C₄.₃(C₂xC₃₄) = Q₁₆xC₁₇	φ: C₂xC₃₄/C₃₄ → C₂ ⊆ Aut C₄	272	2	C4.3(C2xC34)	272,27
C₄.₄(C₂xC₃₄) = Q₈xC₃₄	φ: C₂xC₃₄/C₃₄ → C₂ ⊆ Aut C₄	272		C4.4(C2xC34)	272,48
C₄.₅(C₂xC₃₄) = C₄oD₄xC₁₇	φ: C₂xC₃₄/C₃₄ → C₂ ⊆ Aut C₄	136	2	C4.5(C2xC34)	272,49
C₄.₆(C₂xC₃₄) = M₄(2)xC₁₇	central extension (φ=1)	136	2	C4.6(C2xC34)	272,24

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