Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂²×C₇⋊C₃

Direct product G=N×Q with N=C₃ and Q=C₂²×C₇⋊C₃

		d	ρ	Label	ID
C₂×C₆×C₇⋊C₃		84		C2xC6xC7:C3	252,38

Semidirect products G=N:Q with N=C₃ and Q=C₂²×C₇⋊C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(C₂²×C₇⋊C₃) = C₂×S₃×C₇⋊C₃	φ: C₂²×C₇⋊C₃/C₂×C₇⋊C₃ → C₂ ⊆ Aut C₃	42	6	C3:(C2^2xC7:C3)	252,29

Non-split extensions G=N.Q with N=C₃ and Q=C₂²×C₇⋊C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₂²×C₇⋊C₃) = C₂²×C₇⋊C₉	central extension (φ=1)	252		C3.(C2^2xC7:C3)	252,9

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Extensions 1→N→G→Q→1 with N=C3 and Q=C22×C7⋊C3