Extensions 1→N→G→Q→1 with N=C₇×C₂₁ and Q=C₃

Direct product G=N×Q with N=C₇×C₂₁ and Q=C₃

		d	ρ	Label	ID
C₂₁²		441		C21^2	441,13

Semidirect products G=N:Q with N=C₇×C₂₁ and Q=C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₇×C₂₁)⋊₁C₃ = C₇⋊C₃×C₂₁	φ: C₃/C₁ → C₃ ⊆ Aut C₇×C₂₁	63	3	(C7xC21):1C3	441,10
(C₇×C₂₁)⋊₂C₃ = C₃×C₇²⋊C₃	φ: C₃/C₁ → C₃ ⊆ Aut C₇×C₂₁	147		(C7xC21):2C3	441,11
(C₇×C₂₁)⋊₃C₃ = C₃×C₇²⋊₃C₃	φ: C₃/C₁ → C₃ ⊆ Aut C₇×C₂₁	63	3	(C7xC21):3C3	441,12

Non-split extensions G=N.Q with N=C₇×C₂₁ and Q=C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₇×C₂₁).₁C₃ = C₇×C₇⋊C₉	φ: C₃/C₁ → C₃ ⊆ Aut C₇×C₂₁	63	3	(C7xC21).1C3	441,5
(C₇×C₂₁).₂C₃ = C₇²⋊C₉	φ: C₃/C₁ → C₃ ⊆ Aut C₇×C₂₁	441		(C7xC21).2C3	441,6
(C₇×C₂₁).₃C₃ = C₇²⋊₃C₉	φ: C₃/C₁ → C₃ ⊆ Aut C₇×C₂₁	63	3	(C7xC21).3C3	441,7

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Extensions 1→N→G→Q→1 with N=C7×C21 and Q=C3