Extensions 1→N→G→Q→1 with N=C₂₁ and Q=C₃²

Direct product G=N×Q with N=C₂₁ and Q=C₃²

		d	ρ	Label	ID
C₃²×C₂₁		189		C3^2xC21	189,13

Semidirect products G=N:Q with N=C₂₁ and Q=C₃²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₁⋊C₃² = C₃²×C₇⋊C₃	φ: C₃²/C₃ → C₃ ⊆ Aut C₂₁	63		C21:C3^2	189,12

Non-split extensions G=N.Q with N=C₂₁ and Q=C₃²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₁.₁C₃² = C₉×C₇⋊C₃	φ: C₃²/C₃ → C₃ ⊆ Aut C₂₁	63	3	C21.1C3^2	189,3
C₂₁.₂C₃² = C₆₃⋊C₃	φ: C₃²/C₃ → C₃ ⊆ Aut C₂₁	63	3	C21.2C3^2	189,4
C₂₁.₃C₃² = C₆₃⋊₃C₃	φ: C₃²/C₃ → C₃ ⊆ Aut C₂₁	63	3	C21.3C3^2	189,5
C₂₁.₄C₃² = C₃×C₇⋊C₉	φ: C₃²/C₃ → C₃ ⊆ Aut C₂₁	189		C21.4C3^2	189,6
C₂₁.₅C₃² = C₂₁.C₃²	φ: C₃²/C₃ → C₃ ⊆ Aut C₂₁	63	3	C21.5C3^2	189,7
C₂₁.₆C₃² = C₇⋊He₃	φ: C₃²/C₃ → C₃ ⊆ Aut C₂₁	63	3	C21.6C3^2	189,8
C₂₁.₇C₃² = C₇×He₃	central extension (φ=1)	63	3	C21.7C3^2	189,10
C₂₁.₈C₃² = C₇×3_-¹⁺²	central extension (φ=1)	63	3	C21.8C3^2	189,11

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