Extensions 1→N→G→Q→1 with N=C₆ and Q=C₅:D₅

Direct product G=NxQ with N=C₆ and Q=C₅:D₅

		d	ρ	Label	ID
C₆xC₅:D₅		150		C6xC5:D5	300,45

Semidirect products G=N:Q with N=C₆ and Q=C₅:D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆:(C₅:D₅) = C₂xC₅:D₁₅	φ: C₅:D₅/C₅² → C₂ ⊆ Aut C₆	150		C6:(C5:D5)	300,48

Non-split extensions G=N.Q with N=C₆ and Q=C₅:D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.(C₅:D₅) = C₃₀.D₅	φ: C₅:D₅/C₅² → C₂ ⊆ Aut C₆	300		C6.(C5:D5)	300,20
C₆.₂(C₅:D₅) = C₃xC₅²:₆C₄	central extension (φ=1)	300		C6.2(C5:D5)	300,17

Extensions 1→N→G→Q→1 with N=C6 and Q=C5:D5