Extensions 1→N→G→Q→1 with N=C₃² and Q=C₇:C₃

Direct product G=NxQ with N=C₃² and Q=C₇:C₃

		d	ρ	Label	ID
C₃²xC₇:C₃		63		C3^2xC7:C3	189,12

Semidirect products G=N:Q with N=C₃² and Q=C₇:C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃²:(C₇:C₃) = C₇:He₃	φ: C₇:C₃/C₇ → C₃ ⊆ Aut C₃²	63	3	C3^2:(C7:C3)	189,8

Non-split extensions G=N.Q with N=C₃² and Q=C₇:C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃².(C₇:C₃) = C₂₁.C₃²	φ: C₇:C₃/C₇ → C₃ ⊆ Aut C₃²	63	3	C3^2.(C7:C3)	189,7
C₃².₂(C₇:C₃) = C₃xC₇:C₉	central extension (φ=1)	189		C3^2.2(C7:C3)	189,6

Extensions 1→N→G→Q→1 with N=C32 and Q=C7:C3