Extensions 1→N→G→Q→1 with N=C₅ and Q=C₃×D₄

Direct product G=N×Q with N=C₅ and Q=C₃×D₄

		d	ρ	Label	ID
D₄×C₁₅		60	2	D4xC15	120,32

Semidirect products G=N:Q with N=C₅ and Q=C₃×D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₃×D₄) = C₃×D₂₀	φ: C₃×D₄/C₁₂ → C₂ ⊆ Aut C₅	60	2	C5:1(C3xD4)	120,18
C₅⋊₂(C₃×D₄) = C₃×C₅⋊D₄	φ: C₃×D₄/C₂×C₆ → C₂ ⊆ Aut C₅	60	2	C5:2(C3xD4)	120,20

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁