Extensions 1→N→G→Q→1 with N=C₂²×C₄ and Q=D₁₁

Direct product G=N×Q with N=C₂²×C₄ and Q=D₁₁

		d	ρ	Label	ID
C₂²×C₄×D₁₁		176		C2^2xC4xD11	352,174

Semidirect products G=N:Q with N=C₂²×C₄ and Q=D₁₁

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂²×C₄)⋊₁D₁₁ = C₂×D₂₂⋊C₄	φ: D₁₁/C₁₁ → C₂ ⊆ Aut C₂²×C₄	176		(C2^2xC4):1D11	352,122
(C₂²×C₄)⋊₂D₁₁ = C₄×C₁₁⋊D₄	φ: D₁₁/C₁₁ → C₂ ⊆ Aut C₂²×C₄	176		(C2^2xC4):2D11	352,123
(C₂²×C₄)⋊₃D₁₁ = C₂³.₂₃D₂₂	φ: D₁₁/C₁₁ → C₂ ⊆ Aut C₂²×C₄	176		(C2^2xC4):3D11	352,124
(C₂²×C₄)⋊₄D₁₁ = C₄₄⋊₇D₄	φ: D₁₁/C₁₁ → C₂ ⊆ Aut C₂²×C₄	176		(C2^2xC4):4D11	352,125
(C₂²×C₄)⋊₅D₁₁ = C₂²×D₄₄	φ: D₁₁/C₁₁ → C₂ ⊆ Aut C₂²×C₄	176		(C2^2xC4):5D11	352,175
(C₂²×C₄)⋊₆D₁₁ = C₂×D₄₄⋊₅C₂	φ: D₁₁/C₁₁ → C₂ ⊆ Aut C₂²×C₄	176		(C2^2xC4):6D11	352,176

Non-split extensions G=N.Q with N=C₂²×C₄ and Q=D₁₁

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂²×C₄).₁D₁₁ = C₄₄.₅₅D₄	φ: D₁₁/C₁₁ → C₂ ⊆ Aut C₂²×C₄	176		(C2^2xC4).1D11	352,36
(C₂²×C₄).₂D₁₁ = C₂₂.C₄²	φ: D₁₁/C₁₁ → C₂ ⊆ Aut C₂²×C₄	352		(C2^2xC4).2D11	352,37
(C₂²×C₄).₃D₁₁ = C₂×Dic₁₁⋊C₄	φ: D₁₁/C₁₁ → C₂ ⊆ Aut C₂²×C₄	352		(C2^2xC4).3D11	352,118
(C₂²×C₄).₄D₁₁ = C₂×C₄₄.C₄	φ: D₁₁/C₁₁ → C₂ ⊆ Aut C₂²×C₄	176		(C2^2xC4).4D11	352,116
(C₂²×C₄).₅D₁₁ = C₄₄.₄₈D₄	φ: D₁₁/C₁₁ → C₂ ⊆ Aut C₂²×C₄	176		(C2^2xC4).5D11	352,119
(C₂²×C₄).₆D₁₁ = C₂×C₄₄⋊C₄	φ: D₁₁/C₁₁ → C₂ ⊆ Aut C₂²×C₄	352		(C2^2xC4).6D11	352,120
(C₂²×C₄).₇D₁₁ = C₂³.₂₁D₂₂	φ: D₁₁/C₁₁ → C₂ ⊆ Aut C₂²×C₄	176		(C2^2xC4).7D11	352,121
(C₂²×C₄).₈D₁₁ = C₂²×Dic₂₂	φ: D₁₁/C₁₁ → C₂ ⊆ Aut C₂²×C₄	352		(C2^2xC4).8D11	352,173
(C₂²×C₄).₉D₁₁ = C₂²×C₁₁⋊C₈	central extension (φ=1)	352		(C2^2xC4).9D11	352,115
(C₂²×C₄).₁₀D₁₁ = C₂×C₄×Dic₁₁	central extension (φ=1)	352		(C2^2xC4).10D11	352,117

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