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

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

		d	ρ	Label	ID
C₆xC₅:C₈		240		C6xC5:C8	240,115

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆:(C₅:C₈) = C₂xC₁₅:C₈	φ: C₅:C₈/Dic₅ → C₂ ⊆ Aut C₆	240		C6:(C5:C8)	240,122

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.(C₅:C₈) = C₁₅:C₁₆	φ: C₅:C₈/Dic₅ → C₂ ⊆ Aut C₆	240	4	C6.(C5:C8)	240,6
C₆.₂(C₅:C₈) = C₃xC₅:C₁₆	central extension (φ=1)	240	4	C6.2(C5:C8)	240,5

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