Extensions 1→N→G→Q→1 with N=C₉ and Q=C₃×D₇

Direct product G=N×Q with N=C₉ and Q=C₃×D₇

		d	ρ	Label	ID
D₇×C₃×C₉		189		D7xC3xC9	378,29

Semidirect products G=N:Q with N=C₉ and Q=C₃×D₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉⋊(C₃×D₇) = D₆₃⋊C₃	φ: C₃×D₇/C₇ → C₆ ⊆ Aut C₉	63	6+	C9:(C3xD7)	378,39
C₉⋊₂(C₃×D₇) = D₇×3_-¹⁺²	φ: C₃×D₇/D₇ → C₃ ⊆ Aut C₉	63	6	C9:2(C3xD7)	378,31
C₉⋊₃(C₃×D₇) = C₃×D₆₃	φ: C₃×D₇/C₂₁ → C₂ ⊆ Aut C₉	126	2	C9:3(C3xD7)	378,36

Non-split extensions G=N.Q with N=C₉ and Q=C₃×D₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉.(C₃×D₇) = D₇×C₂₇	central extension (φ=1)	189	2	C9.(C3xD7)	378,4

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Extensions 1→N→G→Q→1 with N=C9 and Q=C3×D7