Extensions 1→N→G→Q→1 with N=C₅ and Q=D₅.D₅

Direct product G=NxQ with N=C₅ and Q=D₅.D₅

		d	ρ	Label	ID
C₅xD₅.D₅		20	4	C5xD5.D5	500,42

Semidirect products G=N:Q with N=C₅ and Q=D₅.D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅:₁(D₅.D₅) = C₅³:₆C₄	φ: D₅.D₅/C₅² → C₄ ⊆ Aut C₅	20	4	C5:1(D5.D5)	500,46
C₅:₂(D₅.D₅) = C₅³:₇C₄	φ: D₅.D₅/C₅² → C₄ ⊆ Aut C₅	100		C5:2(D5.D5)	500,47
C₅:₃(D₅.D₅) = C₅³:C₄	φ: D₅.D₅/C₅xD₅ → C₂ ⊆ Aut C₅	100		C5:3(D5.D5)	500,45

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅.₁(D₅.D₅) = D₂₅.D₅	φ: D₅.D₅/C₅² → C₄ ⊆ Aut C₅	100	4	C5.1(D5.D5)	500,20
C₅.₂(D₅.D₅) = He₅:C₄	φ: D₅.D₅/C₅² → C₄ ⊆ Aut C₅	25	20+	C5.2(D5.D5)	500,21
C₅.₃(D₅.D₅) = D₅.D₂₅	φ: D₅.D₅/C₅xD₅ → C₂ ⊆ Aut C₅	100	4	C5.3(D5.D5)	500,19

Extensions 1→N→G→Q→1 with N=C5 and Q=D5.D5