Extensions 1→N→G→Q→1 with N=C₆₆ and Q=C₄

Direct product G=NxQ with N=C₆₆ and Q=C₄

		d	ρ	Label	ID
C₂xC₁₃₂		264		C2xC132	264,28

Semidirect products G=N:Q with N=C₆₆ and Q=C₄

extension	φ:Q→Aut N	d	Label	ID
C₆₆:₁C₄ = C₂xDic₃₃	φ: C₄/C₂ → C₂ ⊆ Aut C₆₆	264	C66:1C4	264,26
C₆₆:₂C₄ = C₆xDic₁₁	φ: C₄/C₂ → C₂ ⊆ Aut C₆₆	264	C66:2C4	264,16
C₆₆:₃C₄ = Dic₃xC₂₂	φ: C₄/C₂ → C₂ ⊆ Aut C₆₆	264	C66:3C4	264,21

Non-split extensions G=N.Q with N=C₆₆ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆₆.₁C₄ = C₃₃:C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₆₆	264	2	C66.1C4	264,3
C₆₆.₂C₄ = C₃xC₁₁:C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₆₆	264	2	C66.2C4	264,2
C₆₆.₃C₄ = C₁₁xC₃:C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₆₆	264	2	C66.3C4	264,1

Extensions 1→N→G→Q→1 with N=C66 and Q=C4