Extensions 1→N→G→Q→1 with N=C₂² and Q=C₂×C₂₂

Direct product G=N×Q with N=C₂² and Q=C₂×C₂₂

		d	ρ	Label	ID
C₂³×C₂₂		176		C2^3xC22	176,42

Semidirect products G=N:Q with N=C₂² and Q=C₂×C₂₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊(C₂×C₂₂) = D₄×C₂₂	φ: C₂×C₂₂/C₂₂ → C₂ ⊆ Aut C₂²	88		C2^2:(C2xC22)	176,38

Non-split extensions G=N.Q with N=C₂² and Q=C₂×C₂₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².(C₂×C₂₂) = C₁₁×C₄○D₄	φ: C₂×C₂₂/C₂₂ → C₂ ⊆ Aut C₂²	88	2	C2^2.(C2xC22)	176,40
C₂².₂(C₂×C₂₂) = C₁₁×C₂²⋊C₄	central extension (φ=1)	88		C2^2.2(C2xC22)	176,20
C₂².₃(C₂×C₂₂) = C₁₁×C₄⋊C₄	central extension (φ=1)	176		C2^2.3(C2xC22)	176,21
C₂².₄(C₂×C₂₂) = Q₈×C₂₂	central extension (φ=1)	176		C2^2.4(C2xC22)	176,39

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Extensions 1→N→G→Q→1 with N=C22 and Q=C2×C22