Extensions 1→N→G→Q→1 with N=C₃ and Q=D₅.D₈

Direct product G=N×Q with N=C₃ and Q=D₅.D₈

		d	ρ	Label	ID
C₃×D₅.D₈		120	4	C3xD5.D8	480,274

Semidirect products G=N:Q with N=C₃ and Q=D₅.D₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(D₅.D₈) = D₅.D₂₄	φ: D₅.D₈/C₈×D₅ → C₂ ⊆ Aut C₃	120	4	C3:1(D5.D8)	480,299
C₃⋊₂(D₅.D₈) = Dic₅.₄Dic₆	φ: D₅.D₈/C₄⋊F₅ → C₂ ⊆ Aut C₃	120	8	C3:2(D5.D8)	480,236

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁