Extensions 1→N→G→Q→1 with N=C₆ and Q=C₃xD₇

Direct product G=NxQ with N=C₆ and Q=C₃xD₇

		d	ρ	Label	ID
D₇xC₃xC₆		126		D7xC3xC6	252,41

Semidirect products G=N:Q with N=C₆ and Q=C₃xD₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆:(C₃xD₇) = C₆xD₂₁	φ: C₃xD₇/C₂₁ → C₂ ⊆ Aut C₆	84	2	C6:(C3xD7)	252,43

Non-split extensions G=N.Q with N=C₆ and Q=C₃xD₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.(C₃xD₇) = C₃xDic₂₁	φ: C₃xD₇/C₂₁ → C₂ ⊆ Aut C₆	84	2	C6.(C3xD7)	252,22
C₆.₂(C₃xD₇) = C₉xDic₇	central extension (φ=1)	252	2	C6.2(C3xD7)	252,4
C₆.₃(C₃xD₇) = D₇xC₁₈	central extension (φ=1)	126	2	C6.3(C3xD7)	252,12
C₆.₄(C₃xD₇) = C₃²xDic₇	central extension (φ=1)	252		C6.4(C3xD7)	252,20

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