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

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

		d	ρ	Label	ID
C₇⋊C₃×C₂₁		63	3	C7:C3xC21	441,10

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₁.₁(C₇⋊C₃) = C₄₉⋊C₉	φ: C₇⋊C₃/C₇ → C₃ ⊆ Aut C₂₁	441	3	C21.1(C7:C3)	441,1
C₂₁.₂(C₇⋊C₃) = C₃×C₄₉⋊C₃	φ: C₇⋊C₃/C₇ → C₃ ⊆ Aut C₂₁	147	3	C21.2(C7:C3)	441,3
C₂₁.₃(C₇⋊C₃) = C₇²⋊C₉	φ: C₇⋊C₃/C₇ → C₃ ⊆ Aut C₂₁	441		C21.3(C7:C3)	441,6
C₂₁.₄(C₇⋊C₃) = C₇²⋊₃C₉	φ: C₇⋊C₃/C₇ → C₃ ⊆ Aut C₂₁	63	3	C21.4(C7:C3)	441,7
C₂₁.₅(C₇⋊C₃) = C₇×C₇⋊C₉	central extension (φ=1)	63	3	C21.5(C7:C3)	441,5

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