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

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

		d	ρ	Label	ID
C₂²×C₂₂		88		C2^2xC22	88,12

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₂⋊C₂² = C₂²×D₁₁	φ: C₂²/C₂ → C₂ ⊆ Aut C₂₂	44		C22:C2^2	88,11

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₂.₁C₂² = Dic₂₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₂₂	88	2-	C22.1C2^2	88,3
C₂₂.₂C₂² = C₄×D₁₁	φ: C₂²/C₂ → C₂ ⊆ Aut C₂₂	44	2	C22.2C2^2	88,4
C₂₂.₃C₂² = D₄₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂₂	44	2+	C22.3C2^2	88,5
C₂₂.₄C₂² = C₂×Dic₁₁	φ: C₂²/C₂ → C₂ ⊆ Aut C₂₂	88		C22.4C2^2	88,6
C₂₂.₅C₂² = C₁₁⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂₂	44	2	C22.5C2^2	88,7
C₂₂.₆C₂² = D₄×C₁₁	central extension (φ=1)	44	2	C22.6C2^2	88,9
C₂₂.₇C₂² = Q₈×C₁₁	central extension (φ=1)	88	2	C22.7C2^2	88,10

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