Extensions 1→N→G→Q→1 with N=C₆ and Q=C₂×C₂₂

Direct product G=N×Q with N=C₆ and Q=C₂×C₂₂

		d	ρ	Label	ID
C₂²×C₆₆		264		C2^2xC66	264,39

Semidirect products G=N:Q with N=C₆ and Q=C₂×C₂₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆⋊(C₂×C₂₂) = S₃×C₂×C₂₂	φ: C₂×C₂₂/C₂₂ → C₂ ⊆ Aut C₆	132		C6:(C2xC22)	264,37

Non-split extensions G=N.Q with N=C₆ and Q=C₂×C₂₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁(C₂×C₂₂) = C₁₁×Dic₆	φ: C₂×C₂₂/C₂₂ → C₂ ⊆ Aut C₆	264	2	C6.1(C2xC22)	264,18
C₆.₂(C₂×C₂₂) = S₃×C₄₄	φ: C₂×C₂₂/C₂₂ → C₂ ⊆ Aut C₆	132	2	C6.2(C2xC22)	264,19
C₆.₃(C₂×C₂₂) = C₁₁×D₁₂	φ: C₂×C₂₂/C₂₂ → C₂ ⊆ Aut C₆	132	2	C6.3(C2xC22)	264,20
C₆.₄(C₂×C₂₂) = Dic₃×C₂₂	φ: C₂×C₂₂/C₂₂ → C₂ ⊆ Aut C₆	264		C6.4(C2xC22)	264,21
C₆.₅(C₂×C₂₂) = C₁₁×C₃⋊D₄	φ: C₂×C₂₂/C₂₂ → C₂ ⊆ Aut C₆	132	2	C6.5(C2xC22)	264,22
C₆.₆(C₂×C₂₂) = D₄×C₃₃	central extension (φ=1)	132	2	C6.6(C2xC22)	264,29
C₆.₇(C₂×C₂₂) = Q₈×C₃₃	central extension (φ=1)	264	2	C6.7(C2xC22)	264,30

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