Extensions 1→N→G→Q→1 with N=C₁₂ and Q=C₂₂

Direct product G=N×Q with N=C₁₂ and Q=C₂₂

		d	ρ	Label	ID
C₂×C₁₃₂		264		C2xC132	264,28

Semidirect products G=N:Q with N=C₁₂ and Q=C₂₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₂⋊₁C₂₂ = C₁₁×D₁₂	φ: C₂₂/C₁₁ → C₂ ⊆ Aut C₁₂	132	2	C12:1C22	264,20
C₁₂⋊₂C₂₂ = S₃×C₄₄	φ: C₂₂/C₁₁ → C₂ ⊆ Aut C₁₂	132	2	C12:2C22	264,19
C₁₂⋊₃C₂₂ = D₄×C₃₃	φ: C₂₂/C₁₁ → C₂ ⊆ Aut C₁₂	132	2	C12:3C22	264,29

Non-split extensions G=N.Q with N=C₁₂ and Q=C₂₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₂.₁C₂₂ = C₁₁×Dic₆	φ: C₂₂/C₁₁ → C₂ ⊆ Aut C₁₂	264	2	C12.1C22	264,18
C₁₂.₂C₂₂ = C₁₁×C₃⋊C₈	φ: C₂₂/C₁₁ → C₂ ⊆ Aut C₁₂	264	2	C12.2C22	264,1
C₁₂.₃C₂₂ = Q₈×C₃₃	φ: C₂₂/C₁₁ → C₂ ⊆ Aut C₁₂	264	2	C12.3C22	264,30

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Extensions 1→N→G→Q→1 with N=C12 and Q=C22