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

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

		d	ρ	Label	ID
C₂×C₁₃₂		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 = C₂×Dic₃₃	φ: C₄/C₂ → C₂ ⊆ Aut C₆₆	264	C66:1C4	264,26
C₆₆⋊₂C₄ = C₆×Dic₁₁	φ: C₄/C₂ → C₂ ⊆ Aut C₆₆	264	C66:2C4	264,16
C₆₆⋊₃C₄ = Dic₃×C₂₂	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 = C₃×C₁₁⋊C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₆₆	264	2	C66.2C4	264,2
C₆₆.₃C₄ = C₁₁×C₃⋊C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₆₆	264	2	C66.3C4	264,1

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