Extensions 1→N→G→Q→1 with N=C₂₂ and Q=D₆

Direct product G=N×Q with N=C₂₂ and Q=D₆

		d	ρ	Label	ID
S₃×C₂×C₂₂		132		S3xC2xC22	264,37

Semidirect products G=N:Q with N=C₂₂ and Q=D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₂⋊₁D₆ = C₂×S₃×D₁₁	φ: D₆/S₃ → C₂ ⊆ Aut C₂₂	66	4+	C22:1D6	264,34
C₂₂⋊₂D₆ = C₂²×D₃₃	φ: D₆/C₆ → C₂ ⊆ Aut C₂₂	132		C22:2D6	264,38

Non-split extensions G=N.Q with N=C₂₂ and Q=D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₂.₁D₆ = Dic₃×D₁₁	φ: D₆/S₃ → C₂ ⊆ Aut C₂₂	132	4-	C22.1D6	264,5
C₂₂.₂D₆ = S₃×Dic₁₁	φ: D₆/S₃ → C₂ ⊆ Aut C₂₂	132	4-	C22.2D6	264,6
C₂₂.₃D₆ = D₃₃⋊C₄	φ: D₆/S₃ → C₂ ⊆ Aut C₂₂	132	4+	C22.3D6	264,7
C₂₂.₄D₆ = C₃₃⋊D₄	φ: D₆/S₃ → C₂ ⊆ Aut C₂₂	132	4-	C22.4D6	264,8
C₂₂.₅D₆ = C₃⋊D₄₄	φ: D₆/S₃ → C₂ ⊆ Aut C₂₂	132	4+	C22.5D6	264,9
C₂₂.₆D₆ = C₁₁⋊D₁₂	φ: D₆/S₃ → C₂ ⊆ Aut C₂₂	132	4+	C22.6D6	264,10
C₂₂.₇D₆ = C₃₃⋊Q₈	φ: D₆/S₃ → C₂ ⊆ Aut C₂₂	264	4-	C22.7D6	264,11
C₂₂.₈D₆ = Dic₆₆	φ: D₆/C₆ → C₂ ⊆ Aut C₂₂	264	2-	C22.8D6	264,23
C₂₂.₉D₆ = C₄×D₃₃	φ: D₆/C₆ → C₂ ⊆ Aut C₂₂	132	2	C22.9D6	264,24
C₂₂.₁₀D₆ = D₁₃₂	φ: D₆/C₆ → C₂ ⊆ Aut C₂₂	132	2+	C22.10D6	264,25
C₂₂.₁₁D₆ = C₂×Dic₃₃	φ: D₆/C₆ → C₂ ⊆ Aut C₂₂	264		C22.11D6	264,26
C₂₂.₁₂D₆ = C₃₃⋊₇D₄	φ: D₆/C₆ → C₂ ⊆ Aut C₂₂	132	2	C22.12D6	264,27
C₂₂.₁₃D₆ = C₁₁×Dic₆	central extension (φ=1)	264	2	C22.13D6	264,18
C₂₂.₁₄D₆ = S₃×C₄₄	central extension (φ=1)	132	2	C22.14D6	264,19
C₂₂.₁₅D₆ = C₁₁×D₁₂	central extension (φ=1)	132	2	C22.15D6	264,20
C₂₂.₁₆D₆ = Dic₃×C₂₂	central extension (φ=1)	264		C22.16D6	264,21
C₂₂.₁₇D₆ = C₁₁×C₃⋊D₄	central extension (φ=1)	132	2	C22.17D6	264,22

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