Extensions 1→N→G→Q→1 with N=C₃×C₆ and Q=C₇⋊C₃

Direct product G=N×Q with N=C₃×C₆ and Q=C₇⋊C₃

		d	ρ	Label	ID
C₃×C₆×C₇⋊C₃		126		C3xC6xC7:C3	378,52

Semidirect products G=N:Q with N=C₃×C₆ and Q=C₇⋊C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₆)⋊(C₇⋊C₃) = C₂×C₇⋊He₃	φ: C₇⋊C₃/C₇ → C₃ ⊆ Aut C₃×C₆	126	3	(C3xC6):(C7:C3)	378,28

Non-split extensions G=N.Q with N=C₃×C₆ and Q=C₇⋊C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₆).(C₇⋊C₃) = C₂×C₂₁.C₃²	φ: C₇⋊C₃/C₇ → C₃ ⊆ Aut C₃×C₆	126	3	(C3xC6).(C7:C3)	378,27
(C₃×C₆).₂(C₇⋊C₃) = C₆×C₇⋊C₉	central extension (φ=1)	378		(C3xC6).2(C7:C3)	378,26

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Extensions 1→N→G→Q→1 with N=C3×C6 and Q=C7⋊C3