Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂×C₇⋊C₃

Direct product G=N×Q with N=C₃ and Q=C₂×C₇⋊C₃

		d	ρ	Label	ID
C₆×C₇⋊C₃		42	3	C6xC7:C3	126,10

Semidirect products G=N:Q with N=C₃ and Q=C₂×C₇⋊C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(C₂×C₇⋊C₃) = S₃×C₇⋊C₃	φ: C₂×C₇⋊C₃/C₇⋊C₃ → C₂ ⊆ Aut C₃	21	6	C3:(C2xC7:C3)	126,8

Non-split extensions G=N.Q with N=C₃ and Q=C₂×C₇⋊C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₂×C₇⋊C₃) = C₂×C₇⋊C₉	central extension (φ=1)	126	3	C3.(C2xC7:C3)	126,2

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Extensions 1→N→G→Q→1 with N=C3 and Q=C2×C7⋊C3