Extensions 1→N→G→Q→1 with N=C₇ and Q=C₃×D₇

Direct product G=N×Q with N=C₇ and Q=C₃×D₇

		d	ρ	Label	ID
D₇×C₂₁		42	2	D7xC21	294,18

Semidirect products G=N:Q with N=C₇ and Q=C₃×D₇

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

Non-split extensions G=N.Q with N=C₇ and Q=C₃×D₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇.(C₃×D₇) = C₃×D₄₉	φ: C₃×D₇/C₂₁ → C₂ ⊆ Aut C₇	147	2	C7.(C3xD7)	294,4

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Extensions 1→N→G→Q→1 with N=C7 and Q=C3×D7