Extensions 1→N→G→Q→1 with N=C₁₀ and Q=C₅×D₅

Direct product G=N×Q with N=C₁₀ and Q=C₅×D₅

		d	ρ	Label	ID
D₅×C₅×C₁₀		100		D5xC5xC10	500,53

Semidirect products G=N:Q with N=C₁₀ and Q=C₅×D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀⋊(C₅×D₅) = C₁₀×C₅⋊D₅	φ: C₅×D₅/C₅² → C₂ ⊆ Aut C₁₀	100		C10:(C5xD5)	500,54

Non-split extensions G=N.Q with N=C₁₀ and Q=C₅×D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀.₁(C₅×D₅) = C₅×Dic₂₅	φ: C₅×D₅/C₅² → C₂ ⊆ Aut C₁₀	100	2	C10.1(C5xD5)	500,6
C₁₀.₂(C₅×D₅) = He₅⋊₅C₄	φ: C₅×D₅/C₅² → C₂ ⊆ Aut C₁₀	100	10-	C10.2(C5xD5)	500,8
C₁₀.₃(C₅×D₅) = C₅₀.C₁₀	φ: C₅×D₅/C₅² → C₂ ⊆ Aut C₁₀	100	10-	C10.3(C5xD5)	500,9
C₁₀.₄(C₅×D₅) = C₁₀×D₂₅	φ: C₅×D₅/C₅² → C₂ ⊆ Aut C₁₀	100	2	C10.4(C5xD5)	500,28
C₁₀.₅(C₅×D₅) = C₂×C₅²⋊C₁₀	φ: C₅×D₅/C₅² → C₂ ⊆ Aut C₁₀	50	10+	C10.5(C5xD5)	500,30
C₁₀.₆(C₅×D₅) = C₂×C₂₅⋊C₁₀	φ: C₅×D₅/C₅² → C₂ ⊆ Aut C₁₀	50	10+	C10.6(C5xD5)	500,31
C₁₀.₇(C₅×D₅) = C₅×C₅²⋊₆C₄	φ: C₅×D₅/C₅² → C₂ ⊆ Aut C₁₀	100		C10.7(C5xD5)	500,38
C₁₀.₈(C₅×D₅) = Dic₅×C₂₅	central extension (φ=1)	100	2	C10.8(C5xD5)	500,7
C₁₀.₉(C₅×D₅) = D₅×C₅₀	central extension (φ=1)	100	2	C10.9(C5xD5)	500,29
C₁₀.₁₀(C₅×D₅) = Dic₅×C₅²	central extension (φ=1)	100		C10.10(C5xD5)	500,37

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