Extensions 1→N→G→Q→1 with N=C₁₀ and Q=D₂₂

Direct product G=N×Q with N=C₁₀ and Q=D₂₂

		d	ρ	Label	ID
C₂×C₁₀×D₁₁		220		C2xC10xD11	440,48

Semidirect products G=N:Q with N=C₁₀ and Q=D₂₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀⋊₁D₂₂ = C₂×D₅×D₁₁	φ: D₂₂/D₁₁ → C₂ ⊆ Aut C₁₀	110	4+	C10:1D22	440,47
C₁₀⋊₂D₂₂ = C₂²×D₅₅	φ: D₂₂/C₂₂ → C₂ ⊆ Aut C₁₀	220		C10:2D22	440,50

Non-split extensions G=N.Q with N=C₁₀ and Q=D₂₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀.₁D₂₂ = Dic₅×D₁₁	φ: D₂₂/D₁₁ → C₂ ⊆ Aut C₁₀	220	4-	C10.1D22	440,17
C₁₀.₂D₂₂ = D₅×Dic₁₁	φ: D₂₂/D₁₁ → C₂ ⊆ Aut C₁₀	220	4-	C10.2D22	440,18
C₁₀.₃D₂₂ = D₅₅⋊₂C₄	φ: D₂₂/D₁₁ → C₂ ⊆ Aut C₁₀	220	4+	C10.3D22	440,19
C₁₀.₄D₂₂ = C₅₅⋊D₄	φ: D₂₂/D₁₁ → C₂ ⊆ Aut C₁₀	220	4-	C10.4D22	440,20
C₁₀.₅D₂₂ = C₅⋊D₄₄	φ: D₂₂/D₁₁ → C₂ ⊆ Aut C₁₀	220	4+	C10.5D22	440,21
C₁₀.₆D₂₂ = C₁₁⋊D₂₀	φ: D₂₂/D₁₁ → C₂ ⊆ Aut C₁₀	220	4+	C10.6D22	440,22
C₁₀.₇D₂₂ = C₅₅⋊Q₈	φ: D₂₂/D₁₁ → C₂ ⊆ Aut C₁₀	440	4-	C10.7D22	440,23
C₁₀.₈D₂₂ = Dic₁₁₀	φ: D₂₂/C₂₂ → C₂ ⊆ Aut C₁₀	440	2-	C10.8D22	440,34
C₁₀.₉D₂₂ = C₄×D₅₅	φ: D₂₂/C₂₂ → C₂ ⊆ Aut C₁₀	220	2	C10.9D22	440,35
C₁₀.₁₀D₂₂ = D₂₂₀	φ: D₂₂/C₂₂ → C₂ ⊆ Aut C₁₀	220	2+	C10.10D22	440,36
C₁₀.₁₁D₂₂ = C₂×Dic₅₅	φ: D₂₂/C₂₂ → C₂ ⊆ Aut C₁₀	440		C10.11D22	440,37
C₁₀.₁₂D₂₂ = C₅₅⋊₇D₄	φ: D₂₂/C₂₂ → C₂ ⊆ Aut C₁₀	220	2	C10.12D22	440,38
C₁₀.₁₃D₂₂ = C₅×Dic₂₂	central extension (φ=1)	440	2	C10.13D22	440,24
C₁₀.₁₄D₂₂ = C₂₀×D₁₁	central extension (φ=1)	220	2	C10.14D22	440,25
C₁₀.₁₅D₂₂ = C₅×D₄₄	central extension (φ=1)	220	2	C10.15D22	440,26
C₁₀.₁₆D₂₂ = C₁₀×Dic₁₁	central extension (φ=1)	440		C10.16D22	440,27
C₁₀.₁₇D₂₂ = C₅×C₁₁⋊D₄	central extension (φ=1)	220	2	C10.17D22	440,28

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