Extensions 1→N→G→Q→1 with N=C₅² and Q=Dic₅

Direct product G=N×Q with N=C₅² and Q=Dic₅

		d	ρ	Label	ID
Dic₅×C₅²		100		Dic5xC5^2	500,37

Semidirect products G=N:Q with N=C₅² and Q=Dic₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅²⋊Dic₅ = He₅⋊C₄	φ: Dic₅/C₁ → Dic₅ ⊆ Aut C₅²	25	20+	C5^2:Dic5	500,21
C₅²⋊₂Dic₅ = He₅⋊₅C₄	φ: Dic₅/C₂ → D₅ ⊆ Aut C₅²	100	10-	C5^2:2Dic5	500,8
C₅²⋊₃Dic₅ = He₅⋊₆C₄	φ: Dic₅/C₂ → D₅ ⊆ Aut C₅²	100	5	C5^2:3Dic5	500,11
C₅²⋊₄Dic₅ = C₅×D₅.D₅	φ: Dic₅/C₅ → C₄ ⊆ Aut C₅²	20	4	C5^2:4Dic5	500,42
C₅²⋊₅Dic₅ = C₅³⋊C₄	φ: Dic₅/C₅ → C₄ ⊆ Aut C₅²	100		C5^2:5Dic5	500,45
C₅²⋊₆Dic₅ = C₅³⋊₆C₄	φ: Dic₅/C₅ → C₄ ⊆ Aut C₅²	20	4	C5^2:6Dic5	500,46
C₅²⋊₇Dic₅ = C₅³⋊₇C₄	φ: Dic₅/C₅ → C₄ ⊆ Aut C₅²	100		C5^2:7Dic5	500,47
C₅²⋊₈Dic₅ = C₅×C₅²⋊₆C₄	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₅²	100		C5^2:8Dic5	500,38
C₅²⋊₉Dic₅ = C₅³⋊₁₂C₄	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₅²	500		C5^2:9Dic5	500,39

Non-split extensions G=N.Q with N=C₅² and Q=Dic₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅².Dic₅ = C₅₀.C₁₀	φ: Dic₅/C₂ → D₅ ⊆ Aut C₅²	100	10-	C5^2.Dic5	500,9
C₅².₂Dic₅ = D₅.D₂₅	φ: Dic₅/C₅ → C₄ ⊆ Aut C₅²	100	4	C5^2.2Dic5	500,19
C₅².₃Dic₅ = C₅×Dic₂₅	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₅²	100	2	C5^2.3Dic5	500,6
C₅².₄Dic₅ = C₅₀.D₅	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₅²	500		C5^2.4Dic5	500,10

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