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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆⋊(C₂×C₇⋊C₃) = C₂×S₃×C₇⋊C₃	φ: C₂×C₇⋊C₃/C₇⋊C₃ → C₂ ⊆ Aut C₆	42	6	C6:(C2xC7:C3)	252,29

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.(C₂×C₇⋊C₃) = Dic₃×C₇⋊C₃	φ: C₂×C₇⋊C₃/C₇⋊C₃ → C₂ ⊆ Aut C₆	84	6	C6.(C2xC7:C3)	252,17
C₆.₂(C₂×C₇⋊C₃) = C₄×C₇⋊C₉	central extension (φ=1)	252	3	C6.2(C2xC7:C3)	252,2
C₆.₃(C₂×C₇⋊C₃) = C₂²×C₇⋊C₉	central extension (φ=1)	252		C6.3(C2xC7:C3)	252,9
C₆.₄(C₂×C₇⋊C₃) = C₁₂×C₇⋊C₃	central extension (φ=1)	84	3	C6.4(C2xC7:C3)	252,19

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