Extensions 1→N→G→Q→1 with N=C₆ and Q=C₃×D₇

Direct product G=N×Q with N=C₆ and Q=C₃×D₇

		d	ρ	Label	ID
D₇×C₃×C₆		126		D7xC3xC6	252,41

Semidirect products G=N:Q with N=C₆ and Q=C₃×D₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆⋊(C₃×D₇) = C₆×D₂₁	φ: C₃×D₇/C₂₁ → C₂ ⊆ Aut C₆	84	2	C6:(C3xD7)	252,43

Non-split extensions G=N.Q with N=C₆ and Q=C₃×D₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.(C₃×D₇) = C₃×Dic₂₁	φ: C₃×D₇/C₂₁ → C₂ ⊆ Aut C₆	84	2	C6.(C3xD7)	252,22
C₆.₂(C₃×D₇) = C₉×Dic₇	central extension (φ=1)	252	2	C6.2(C3xD7)	252,4
C₆.₃(C₃×D₇) = D₇×C₁₈	central extension (φ=1)	126	2	C6.3(C3xD7)	252,12
C₆.₄(C₃×D₇) = C₃²×Dic₇	central extension (φ=1)	252		C6.4(C3xD7)	252,20

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Extensions 1→N→G→Q→1 with N=C6 and Q=C3×D7