Extensions 1→N→G→Q→1 with N=C₃ and Q=C₄×C₇⋊C₃

Direct product G=N×Q with N=C₃ and Q=C₄×C₇⋊C₃

		d	ρ	Label	ID
C₁₂×C₇⋊C₃		84	3	C12xC7:C3	252,19

Semidirect products G=N:Q with N=C₃ and Q=C₄×C₇⋊C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(C₄×C₇⋊C₃) = Dic₃×C₇⋊C₃	φ: C₄×C₇⋊C₃/C₂×C₇⋊C₃ → C₂ ⊆ Aut C₃	84	6	C3:(C4xC7:C3)	252,17

Non-split extensions G=N.Q with N=C₃ and Q=C₄×C₇⋊C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₄×C₇⋊C₃) = C₄×C₇⋊C₉	central extension (φ=1)	252	3	C3.(C4xC7:C3)	252,2

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Extensions 1→N→G→Q→1 with N=C3 and Q=C4×C7⋊C3