Extensions 1→N→G→Q→1 with N=C₁₀ and Q=C₂³

Direct product G=NxQ with N=C₁₀ and Q=C₂³

		d	ρ	Label	ID
C₂³xC₁₀		80		C2^3xC10	80,52

Semidirect products G=N:Q with N=C₁₀ and Q=C₂³

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀:C₂³ = C₂³xD₅	φ: C₂³/C₂² → C₂ ⊆ Aut C₁₀	40		C10:C2^3	80,51

Non-split extensions G=N.Q with N=C₁₀ and Q=C₂³

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀.₁C₂³ = C₂xDic₁₀	φ: C₂³/C₂² → C₂ ⊆ Aut C₁₀	80		C10.1C2^3	80,35
C₁₀.₂C₂³ = C₂xC₄xD₅	φ: C₂³/C₂² → C₂ ⊆ Aut C₁₀	40		C10.2C2^3	80,36
C₁₀.₃C₂³ = C₂xD₂₀	φ: C₂³/C₂² → C₂ ⊆ Aut C₁₀	40		C10.3C2^3	80,37
C₁₀.₄C₂³ = C₄oD₂₀	φ: C₂³/C₂² → C₂ ⊆ Aut C₁₀	40	2	C10.4C2^3	80,38
C₁₀.₅C₂³ = D₄xD₅	φ: C₂³/C₂² → C₂ ⊆ Aut C₁₀	20	4+	C10.5C2^3	80,39
C₁₀.₆C₂³ = D₄:₂D₅	φ: C₂³/C₂² → C₂ ⊆ Aut C₁₀	40	4-	C10.6C2^3	80,40
C₁₀.₇C₂³ = Q₈xD₅	φ: C₂³/C₂² → C₂ ⊆ Aut C₁₀	40	4-	C10.7C2^3	80,41
C₁₀.₈C₂³ = Q₈:₂D₅	φ: C₂³/C₂² → C₂ ⊆ Aut C₁₀	40	4+	C10.8C2^3	80,42
C₁₀.₉C₂³ = C₂²xDic₅	φ: C₂³/C₂² → C₂ ⊆ Aut C₁₀	80		C10.9C2^3	80,43
C₁₀.₁₀C₂³ = C₂xC₅:D₄	φ: C₂³/C₂² → C₂ ⊆ Aut C₁₀	40		C10.10C2^3	80,44
C₁₀.₁₁C₂³ = D₄xC₁₀	central extension (φ=1)	40		C10.11C2^3	80,46
C₁₀.₁₂C₂³ = Q₈xC₁₀	central extension (φ=1)	80		C10.12C2^3	80,47
C₁₀.₁₃C₂³ = C₅xC₄oD₄	central extension (φ=1)	40	2	C10.13C2^3	80,48

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