Extensions 1→N→G→Q→1 with N=C₂₂ and Q=D₁₀

Direct product G=N×Q with N=C₂₂ and Q=D₁₀

		d	ρ	Label	ID
D₅×C₂×C₂₂		220		D5xC2xC22	440,49

Semidirect products G=N:Q with N=C₂₂ and Q=D₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₂⋊₁D₁₀ = C₂×D₅×D₁₁	φ: D₁₀/D₅ → C₂ ⊆ Aut C₂₂	110	4+	C22:1D10	440,47
C₂₂⋊₂D₁₀ = C₂²×D₅₅	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₂₂	220		C22:2D10	440,50

Non-split extensions G=N.Q with N=C₂₂ and Q=D₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₂.₁D₁₀ = Dic₅×D₁₁	φ: D₁₀/D₅ → C₂ ⊆ Aut C₂₂	220	4-	C22.1D10	440,17
C₂₂.₂D₁₀ = D₅×Dic₁₁	φ: D₁₀/D₅ → C₂ ⊆ Aut C₂₂	220	4-	C22.2D10	440,18
C₂₂.₃D₁₀ = D₅₅⋊₂C₄	φ: D₁₀/D₅ → C₂ ⊆ Aut C₂₂	220	4+	C22.3D10	440,19
C₂₂.₄D₁₀ = C₅₅⋊D₄	φ: D₁₀/D₅ → C₂ ⊆ Aut C₂₂	220	4-	C22.4D10	440,20
C₂₂.₅D₁₀ = C₅⋊D₄₄	φ: D₁₀/D₅ → C₂ ⊆ Aut C₂₂	220	4+	C22.5D10	440,21
C₂₂.₆D₁₀ = C₁₁⋊D₂₀	φ: D₁₀/D₅ → C₂ ⊆ Aut C₂₂	220	4+	C22.6D10	440,22
C₂₂.₇D₁₀ = C₅₅⋊Q₈	φ: D₁₀/D₅ → C₂ ⊆ Aut C₂₂	440	4-	C22.7D10	440,23
C₂₂.₈D₁₀ = Dic₁₁₀	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₂₂	440	2-	C22.8D10	440,34
C₂₂.₉D₁₀ = C₄×D₅₅	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₂₂	220	2	C22.9D10	440,35
C₂₂.₁₀D₁₀ = D₂₂₀	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₂₂	220	2+	C22.10D10	440,36
C₂₂.₁₁D₁₀ = C₂×Dic₅₅	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₂₂	440		C22.11D10	440,37
C₂₂.₁₂D₁₀ = C₅₅⋊₇D₄	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₂₂	220	2	C22.12D10	440,38
C₂₂.₁₃D₁₀ = C₁₁×Dic₁₀	central extension (φ=1)	440	2	C22.13D10	440,29
C₂₂.₁₄D₁₀ = D₅×C₄₄	central extension (φ=1)	220	2	C22.14D10	440,30
C₂₂.₁₅D₁₀ = C₁₁×D₂₀	central extension (φ=1)	220	2	C22.15D10	440,31
C₂₂.₁₆D₁₀ = Dic₅×C₂₂	central extension (φ=1)	440		C22.16D10	440,32
C₂₂.₁₇D₁₀ = C₁₁×C₅⋊D₄	central extension (φ=1)	220	2	C22.17D10	440,33

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