Extensions 1→N→G→Q→1 with N=C₇ and Q=C₃xD₇

Direct product G=NxQ with N=C₇ and Q=C₃xD₇

		d	ρ	Label	ID
D₇xC₂₁		42	2	D7xC21	294,18

Semidirect products G=N:Q with N=C₇ and Q=C₃xD₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇:(C₃xD₇) = C₇:₅F₇	φ: C₃xD₇/C₇ → C₆ ⊆ Aut C₇	21	6+	C7:(C3xD7)	294,10
C₇:₂(C₃xD₇) = D₇xC₇:C₃	φ: C₃xD₇/D₇ → C₃ ⊆ Aut C₇	42	6	C7:2(C3xD7)	294,9
C₇:₃(C₃xD₇) = C₃xC₇:D₇	φ: C₃xD₇/C₂₁ → C₂ ⊆ Aut C₇	147		C7:3(C3xD7)	294,19

Non-split extensions G=N.Q with N=C₇ and Q=C₃xD₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇.(C₃xD₇) = C₃xD₄₉	φ: C₃xD₇/C₂₁ → C₂ ⊆ Aut C₇	147	2	C7.(C3xD7)	294,4

Extensions 1→N→G→Q→1 with N=C7 and Q=C3xD7