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
C₃×C₃⋊F₇		42	6	C3xC3:F7	378,49

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(C₃⋊F₇) = C₃²⋊₄F₇	φ: C₃⋊F₇/C₃×C₇⋊C₃ → C₂ ⊆ Aut C₃	63		C3:(C3:F7)	378,51

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	φ: C₃⋊F₇/C₃×C₇⋊C₃ → C₂ ⊆ Aut C₃	63	6+	C3.1(C3:F7)	378,18
C₃.₂(C₃⋊F₇) = C₉⋊₂F₇	φ: C₃⋊F₇/C₃×C₇⋊C₃ → C₂ ⊆ Aut C₃	63	6+	C3.2(C3:F7)	378,19
C₃.₃(C₃⋊F₇) = C₉⋊₅F₇	φ: C₃⋊F₇/C₃×C₇⋊C₃ → C₂ ⊆ Aut C₃	63	6+	C3.3(C3:F7)	378,20
C₃.₄(C₃⋊F₇) = C₃²⋊F₇	φ: C₃⋊F₇/C₃×C₇⋊C₃ → C₂ ⊆ Aut C₃	63	6+	C3.4(C3:F7)	378,22
C₃.₅(C₃⋊F₇) = D₂₁⋊C₉	central extension (φ=1)	126	6	C3.5(C3:F7)	378,21

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