Extensions 1→N→G→Q→1 with N=C₃ and Q=Q₈×F₅

Direct product G=N×Q with N=C₃ and Q=Q₈×F₅

		d	ρ	Label	ID
C₃×Q₈×F₅		120	8	C3xQ8xF5	480,1056

Semidirect products G=N:Q with N=C₃ and Q=Q₈×F₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(Q₈×F₅) = F₅×Dic₆	φ: Q₈×F₅/C₄×F₅ → C₂ ⊆ Aut C₃	120	8-	C3:1(Q8xF5)	480,982
C₃⋊₂(Q₈×F₅) = Dic₆⋊₅F₅	φ: Q₈×F₅/C₄⋊F₅ → C₂ ⊆ Aut C₃	120	8-	C3:2(Q8xF5)	480,984
C₃⋊₃(Q₈×F₅) = Q₈×C₃⋊F₅	φ: Q₈×F₅/Q₈×D₅ → C₂ ⊆ Aut C₃	120	8	C3:3(Q8xF5)	480,1069

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁