Extensions 1→N→G→Q→1 with N=C₇ and Q=C₃×C₁₈

Direct product G=N×Q with N=C₇ and Q=C₃×C₁₈

		d	ρ	Label	ID
C₃×C₁₂₆		378		C3xC126	378,44

Semidirect products G=N:Q with N=C₇ and Q=C₃×C₁₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(C₃×C₁₈) = C₉×F₇	φ: C₃×C₁₈/C₉ → C₆ ⊆ Aut C₇	63	6	C7:1(C3xC18)	378,7
C₇⋊₂(C₃×C₁₈) = C₃×C₇⋊C₁₈	φ: C₃×C₁₈/C₃² → C₆ ⊆ Aut C₇	189		C7:2(C3xC18)	378,10
C₇⋊₃(C₃×C₁₈) = C₁₈×C₇⋊C₃	φ: C₃×C₁₈/C₁₈ → C₃ ⊆ Aut C₇	126	3	C7:3(C3xC18)	378,23
C₇⋊₄(C₃×C₁₈) = C₆×C₇⋊C₉	φ: C₃×C₁₈/C₃×C₆ → C₃ ⊆ Aut C₇	378		C7:4(C3xC18)	378,26
C₇⋊₅(C₃×C₁₈) = D₇×C₃×C₉	φ: C₃×C₁₈/C₃×C₉ → C₂ ⊆ Aut C₇	189		C7:5(C3xC18)	378,29

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