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

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

		d	ρ	Label	ID
C₃²×C₇⋊C₃		63		C3^2xC7:C3	189,12

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×C₇⋊C₃)⋊C₃ = C₇⋊He₃	φ: C₃/C₁ → C₃ ⊆ Out C₃×C₇⋊C₃	63	3	(C3xC7:C3):C3	189,8

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×C₇⋊C₃).₁C₃ = C₆₃⋊C₃	φ: C₃/C₁ → C₃ ⊆ Out C₃×C₇⋊C₃	63	3	(C3xC7:C3).1C3	189,4
(C₃×C₇⋊C₃).₂C₃ = C₆₃⋊₃C₃	φ: C₃/C₁ → C₃ ⊆ Out C₃×C₇⋊C₃	63	3	(C3xC7:C3).2C3	189,5
(C₃×C₇⋊C₃).₃C₃ = C₉×C₇⋊C₃	φ: trivial image	63	3	(C3xC7:C3).3C3	189,3

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