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

Direct product G=N×Q with N=C₃² and Q=C₇⋊C₃

		d	ρ	Label	ID
C₃²×C₇⋊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) = C₃×C₇⋊C₉	central extension (φ=1)	189		C3^2.2(C7:C3)	189,6

⋊

ℤ

𝔽

○

≀

ℚ

◁

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