Extensions 1→N→G→Q→1 with N=C₆ and Q=C₅:₂C₈

Direct product G=NxQ with N=C₆ and Q=C₅:₂C₈

		d	ρ	Label	ID
C₆xC₅:₂C₈		240		C6xC5:2C8	240,38

Semidirect products G=N:Q with N=C₆ and Q=C₅:₂C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆:(C₅:₂C₈) = C₂xC₁₅:₃C₈	φ: C₅:₂C₈/C₂₀ → C₂ ⊆ Aut C₆	240		C6:(C5:2C8)	240,70

Non-split extensions G=N.Q with N=C₆ and Q=C₅:₂C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.(C₅:₂C₈) = C₁₅:₃C₁₆	φ: C₅:₂C₈/C₂₀ → C₂ ⊆ Aut C₆	240	2	C6.(C5:2C8)	240,3
C₆.₂(C₅:₂C₈) = C₃xC₅:₂C₁₆	central extension (φ=1)	240	2	C6.2(C5:2C8)	240,2

Extensions 1→N→G→Q→1 with N=C6 and Q=C5:2C8