Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂×GL₂(𝔽₃)

Direct product G=N×Q with N=C₅ and Q=C₂×GL₂(𝔽₃)

		d	ρ	Label	ID
C₁₀×GL₂(𝔽₃)		80		C10xGL(2,3)	480,1017

Semidirect products G=N:Q with N=C₅ and Q=C₂×GL₂(𝔽₃)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₂×GL₂(𝔽₃)) = D₅×GL₂(𝔽₃)	φ: C₂×GL₂(𝔽₃)/GL₂(𝔽₃) → C₂ ⊆ Aut C₅	40	4	C5:1(C2xGL(2,3))	480,974
C₅⋊₂(C₂×GL₂(𝔽₃)) = C₂×Q₈⋊D₁₅	φ: C₂×GL₂(𝔽₃)/C₂×SL₂(𝔽₃) → C₂ ⊆ Aut C₅	80		C5:2(C2xGL(2,3))	480,1028

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