Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃×F₇

Direct product G=N×Q with N=C₃ and Q=C₃×F₇

		d	ρ	Label	ID
C₃²×F₇		63		C3^2xF7	378,47

Semidirect products G=N:Q with N=C₃ and Q=C₃×F₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(C₃×F₇) = C₃×C₃⋊F₇	φ: C₃×F₇/C₃×C₇⋊C₃ → C₂ ⊆ Aut C₃	42	6	C3:(C3xF7)	378,49

Non-split extensions G=N.Q with N=C₃ and Q=C₃×F₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(C₃×F₇) = C₉×F₇	central extension (φ=1)	63	6	C3.1(C3xF7)	378,7
C₃.₂(C₃×F₇) = C₃×C₇⋊C₁₈	central extension (φ=1)	189		C3.2(C3xF7)	378,10
C₃.₃(C₃×F₇) = C₉⋊₃F₇	central stem extension (φ=1)	63	6	C3.3(C3xF7)	378,8
C₃.₄(C₃×F₇) = C₉⋊₄F₇	central stem extension (φ=1)	63	6	C3.4(C3xF7)	378,9
C₃.₅(C₃×F₇) = C₃².F₇	central stem extension (φ=1)	63	6	C3.5(C3xF7)	378,11
C₃.₆(C₃×F₇) = D₇⋊He₃	central stem extension (φ=1)	63	6	C3.6(C3xF7)	378,12

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