Extensions 1→N→G→Q→1 with N=C₂₁ and Q=C₉

Direct product G=N×Q with N=C₂₁ and Q=C₉

		d	ρ	Label	ID
C₃×C₆₃		189		C3xC63	189,9

Semidirect products G=N:Q with N=C₂₁ and Q=C₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₁⋊C₉ = C₃×C₇⋊C₉	φ: C₉/C₃ → C₃ ⊆ Aut C₂₁	189		C21:C9	189,6

Non-split extensions G=N.Q with N=C₂₁ and Q=C₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₁.C₉ = C₇⋊C₂₇	φ: C₉/C₃ → C₃ ⊆ Aut C₂₁	189	3	C21.C9	189,1

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C21 and Q=C9