Extensions 1→N→G→Q→1 with N=C₄ and Q=C₂×C₂₂

Direct product G=N×Q with N=C₄ and Q=C₂×C₂₂

		d	ρ	Label	ID
C₂²×C₄₄		176		C2^2xC44	176,37

Semidirect products G=N:Q with N=C₄ and Q=C₂×C₂₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊(C₂×C₂₂) = D₄×C₂₂	φ: C₂×C₂₂/C₂₂ → C₂ ⊆ Aut C₄	88		C4:(C2xC22)	176,38

Non-split extensions G=N.Q with N=C₄ and Q=C₂×C₂₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁(C₂×C₂₂) = C₁₁×D₈	φ: C₂×C₂₂/C₂₂ → C₂ ⊆ Aut C₄	88	2	C4.1(C2xC22)	176,24
C₄.₂(C₂×C₂₂) = C₁₁×SD₁₆	φ: C₂×C₂₂/C₂₂ → C₂ ⊆ Aut C₄	88	2	C4.2(C2xC22)	176,25
C₄.₃(C₂×C₂₂) = C₁₁×Q₁₆	φ: C₂×C₂₂/C₂₂ → C₂ ⊆ Aut C₄	176	2	C4.3(C2xC22)	176,26
C₄.₄(C₂×C₂₂) = Q₈×C₂₂	φ: C₂×C₂₂/C₂₂ → C₂ ⊆ Aut C₄	176		C4.4(C2xC22)	176,39
C₄.₅(C₂×C₂₂) = C₁₁×C₄○D₄	φ: C₂×C₂₂/C₂₂ → C₂ ⊆ Aut C₄	88	2	C4.5(C2xC22)	176,40
C₄.₆(C₂×C₂₂) = C₁₁×M₄(2)	central extension (φ=1)	88	2	C4.6(C2xC22)	176,23

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