Extensions 1→N→G→Q→1 with N=C₆ and Q=D₂₂

Direct product G=N×Q with N=C₆ and Q=D₂₂

		d	ρ	Label	ID
C₂×C₆×D₁₁		132		C2xC6xD11	264,36

Semidirect products G=N:Q with N=C₆ and Q=D₂₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆⋊₁D₂₂ = C₂×S₃×D₁₁	φ: D₂₂/D₁₁ → C₂ ⊆ Aut C₆	66	4+	C6:1D22	264,34
C₆⋊₂D₂₂ = C₂²×D₃₃	φ: D₂₂/C₂₂ → C₂ ⊆ Aut C₆	132		C6:2D22	264,38

Non-split extensions G=N.Q with N=C₆ and Q=D₂₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁D₂₂ = Dic₃×D₁₁	φ: D₂₂/D₁₁ → C₂ ⊆ Aut C₆	132	4-	C6.1D22	264,5
C₆.₂D₂₂ = S₃×Dic₁₁	φ: D₂₂/D₁₁ → C₂ ⊆ Aut C₆	132	4-	C6.2D22	264,6
C₆.₃D₂₂ = D₃₃⋊C₄	φ: D₂₂/D₁₁ → C₂ ⊆ Aut C₆	132	4+	C6.3D22	264,7
C₆.₄D₂₂ = C₃₃⋊D₄	φ: D₂₂/D₁₁ → C₂ ⊆ Aut C₆	132	4-	C6.4D22	264,8
C₆.₅D₂₂ = C₃⋊D₄₄	φ: D₂₂/D₁₁ → C₂ ⊆ Aut C₆	132	4+	C6.5D22	264,9
C₆.₆D₂₂ = C₁₁⋊D₁₂	φ: D₂₂/D₁₁ → C₂ ⊆ Aut C₆	132	4+	C6.6D22	264,10
C₆.₇D₂₂ = C₃₃⋊Q₈	φ: D₂₂/D₁₁ → C₂ ⊆ Aut C₆	264	4-	C6.7D22	264,11
C₆.₈D₂₂ = Dic₆₆	φ: D₂₂/C₂₂ → C₂ ⊆ Aut C₆	264	2-	C6.8D22	264,23
C₆.₉D₂₂ = C₄×D₃₃	φ: D₂₂/C₂₂ → C₂ ⊆ Aut C₆	132	2	C6.9D22	264,24
C₆.₁₀D₂₂ = D₁₃₂	φ: D₂₂/C₂₂ → C₂ ⊆ Aut C₆	132	2+	C6.10D22	264,25
C₆.₁₁D₂₂ = C₂×Dic₃₃	φ: D₂₂/C₂₂ → C₂ ⊆ Aut C₆	264		C6.11D22	264,26
C₆.₁₂D₂₂ = C₃₃⋊₇D₄	φ: D₂₂/C₂₂ → C₂ ⊆ Aut C₆	132	2	C6.12D22	264,27
C₆.₁₃D₂₂ = C₃×Dic₂₂	central extension (φ=1)	264	2	C6.13D22	264,13
C₆.₁₄D₂₂ = C₁₂×D₁₁	central extension (φ=1)	132	2	C6.14D22	264,14
C₆.₁₅D₂₂ = C₃×D₄₄	central extension (φ=1)	132	2	C6.15D22	264,15
C₆.₁₆D₂₂ = C₆×Dic₁₁	central extension (φ=1)	264		C6.16D22	264,16
C₆.₁₇D₂₂ = C₃×C₁₁⋊D₄	central extension (φ=1)	132	2	C6.17D22	264,17

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