Extensions 1→N→G→Q→1 with N=C₂² and Q=D₄×C₁₁

Direct product G=N×Q with N=C₂² and Q=D₄×C₁₁

		d	ρ	Label	ID
D₄×C₂×C₂₂		176		D4xC2xC22	352,189

Semidirect products G=N:Q with N=C₂² and Q=D₄×C₁₁

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊₁(D₄×C₁₁) = C₁₁×C₄⋊D₄	φ: D₄×C₁₁/C₄₄ → C₂ ⊆ Aut C₂²	176		C2^2:1(D4xC11)	352,156
C₂²⋊₂(D₄×C₁₁) = C₁₁×C₂²≀C₂	φ: D₄×C₁₁/C₂×C₂₂ → C₂ ⊆ Aut C₂²	88		C2^2:2(D4xC11)	352,155

Non-split extensions G=N.Q with N=C₂² and Q=D₄×C₁₁

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(D₄×C₁₁) = C₁₁×C₄○D₈	φ: D₄×C₁₁/C₄₄ → C₂ ⊆ Aut C₂²	176	2	C2^2.1(D4xC11)	352,170
C₂².₂(D₄×C₁₁) = C₁₁×C₂³⋊C₄	φ: D₄×C₁₁/C₂×C₂₂ → C₂ ⊆ Aut C₂²	88	4	C2^2.2(D4xC11)	352,48
C₂².₃(D₄×C₁₁) = C₁₁×C₄≀C₂	φ: D₄×C₁₁/C₂×C₂₂ → C₂ ⊆ Aut C₂²	88	2	C2^2.3(D4xC11)	352,53
C₂².₄(D₄×C₁₁) = C₁₁×C₂².D₄	φ: D₄×C₁₁/C₂×C₂₂ → C₂ ⊆ Aut C₂²	176		C2^2.4(D4xC11)	352,158
C₂².₅(D₄×C₁₁) = C₁₁×C₈⋊C₂²	φ: D₄×C₁₁/C₂×C₂₂ → C₂ ⊆ Aut C₂²	88	4	C2^2.5(D4xC11)	352,171
C₂².₆(D₄×C₁₁) = C₁₁×C₈.C₂²	φ: D₄×C₁₁/C₂×C₂₂ → C₂ ⊆ Aut C₂²	176	4	C2^2.6(D4xC11)	352,172
C₂².₇(D₄×C₁₁) = C₁₁×C₂.C₄²	central extension (φ=1)	352		C2^2.7(D4xC11)	352,44
C₂².₈(D₄×C₁₁) = C₁₁×D₄⋊C₄	central extension (φ=1)	176		C2^2.8(D4xC11)	352,51
C₂².₉(D₄×C₁₁) = C₁₁×Q₈⋊C₄	central extension (φ=1)	352		C2^2.9(D4xC11)	352,52
C₂².₁₀(D₄×C₁₁) = C₁₁×C₄.Q₈	central extension (φ=1)	352		C2^2.10(D4xC11)	352,55
C₂².₁₁(D₄×C₁₁) = C₁₁×C₂.D₈	central extension (φ=1)	352		C2^2.11(D4xC11)	352,56
C₂².₁₂(D₄×C₁₁) = C₂²⋊C₄×C₂₂	central extension (φ=1)	176		C2^2.12(D4xC11)	352,150
C₂².₁₃(D₄×C₁₁) = C₄⋊C₄×C₂₂	central extension (φ=1)	352		C2^2.13(D4xC11)	352,151
C₂².₁₄(D₄×C₁₁) = D₈×C₂₂	central extension (φ=1)	176		C2^2.14(D4xC11)	352,167
C₂².₁₅(D₄×C₁₁) = SD₁₆×C₂₂	central extension (φ=1)	176		C2^2.15(D4xC11)	352,168
C₂².₁₆(D₄×C₁₁) = Q₁₆×C₂₂	central extension (φ=1)	352		C2^2.16(D4xC11)	352,169

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