Extensions 1→N→G→Q→1 with N=C₂×C₆ and Q=C₇⋊C₃

Direct product G=N×Q with N=C₂×C₆ and Q=C₇⋊C₃

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

Semidirect products G=N:Q with N=C₂×C₆ and Q=C₇⋊C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₆)⋊(C₇⋊C₃) = C₃×C₇⋊A₄	φ: C₇⋊C₃/C₇ → C₃ ⊆ Aut C₂×C₆	84	3	(C2xC6):(C7:C3)	252,40

Non-split extensions G=N.Q with N=C₂×C₆ and Q=C₇⋊C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₆).(C₇⋊C₃) = C₂₁.A₄	φ: C₇⋊C₃/C₇ → C₃ ⊆ Aut C₂×C₆	126	3	(C2xC6).(C7:C3)	252,11
(C₂×C₆).₂(C₇⋊C₃) = C₂²×C₇⋊C₉	central extension (φ=1)	252		(C2xC6).2(C7:C3)	252,9

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Extensions 1→N→G→Q→1 with N=C2×C6 and Q=C7⋊C3