Extensions 1→N→G→Q→1 with N=C₇ and Q=C₃xC₇:C₃

Direct product G=NxQ with N=C₇ and Q=C₃xC₇:C₃

		d	ρ	Label	ID
C₇:C₃xC₂₁		63	3	C7:C3xC21	441,10

Semidirect products G=N:Q with N=C₇ and Q=C₃xC₇:C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇:₁(C₃xC₇:C₃) = C₇:C₃²	φ: C₃xC₇:C₃/C₇:C₃ → C₃ ⊆ Aut C₇	21	9	C7:1(C3xC7:C3)	441,9
C₇:₂(C₃xC₇:C₃) = C₃xC₇²:C₃	φ: C₃xC₇:C₃/C₂₁ → C₃ ⊆ Aut C₇	147		C7:2(C3xC7:C3)	441,11
C₇:₃(C₃xC₇:C₃) = C₃xC₇²:₃C₃	φ: C₃xC₇:C₃/C₂₁ → C₃ ⊆ Aut C₇	63	3	C7:3(C3xC7:C3)	441,12

Non-split extensions G=N.Q with N=C₇ and Q=C₃xC₇:C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇.(C₃xC₇:C₃) = C₃xC₄₉:C₃	φ: C₃xC₇:C₃/C₂₁ → C₃ ⊆ Aut C₇	147	3	C7.(C3xC7:C3)	441,3

Extensions 1→N→G→Q→1 with N=C7 and Q=C3xC7:C3