Extensions 1→N→G→Q→1 with N=C₅ and Q=C₉⋊D₄

Direct product G=N×Q with N=C₅ and Q=C₉⋊D₄

		d	ρ	Label	ID
C₅×C₉⋊D₄		180	2	C5xC9:D4	360,24

Semidirect products G=N:Q with N=C₅ and Q=C₉⋊D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₉⋊D₄) = C₉⋊D₂₀	φ: C₉⋊D₄/Dic₉ → C₂ ⊆ Aut C₅	180	4+	C5:1(C9:D4)	360,13
C₅⋊₂(C₉⋊D₄) = C₄₅⋊D₄	φ: C₉⋊D₄/D₁₈ → C₂ ⊆ Aut C₅	180	4-	C5:2(C9:D4)	360,12
C₅⋊₃(C₉⋊D₄) = C₄₅⋊₇D₄	φ: C₉⋊D₄/C₂×C₁₈ → C₂ ⊆ Aut C₅	180	2	C5:3(C9:D4)	360,29

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁