Extensions 1→N→G→Q→1 with N=C₇ and Q=C₂×3_-¹⁺²

Direct product G=N×Q with N=C₇ and Q=C₂×3_-¹⁺²

		d	ρ	Label	ID
C₁₄×3_-¹⁺²		126	3	C14xES-(3,1)	378,46

Semidirect products G=N:Q with N=C₇ and Q=C₂×3_-¹⁺²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(C₂×3_-¹⁺²) = C₉⋊₃F₇	φ: C₂×3_-¹⁺²/C₉ → C₆ ⊆ Aut C₇	63	6	C7:1(C2xES-(3,1))	378,8
C₇⋊₂(C₂×3_-¹⁺²) = C₉⋊₄F₇	φ: C₂×3_-¹⁺²/C₉ → C₆ ⊆ Aut C₇	63	6	C7:2(C2xES-(3,1))	378,9
C₇⋊₃(C₂×3_-¹⁺²) = C₃².F₇	φ: C₂×3_-¹⁺²/C₃² → C₆ ⊆ Aut C₇	63	6	C7:3(C2xES-(3,1))	378,11
C₇⋊₄(C₂×3_-¹⁺²) = C₂×C₆₃⋊C₃	φ: C₂×3_-¹⁺²/C₁₈ → C₃ ⊆ Aut C₇	126	3	C7:4(C2xES-(3,1))	378,24
C₇⋊₅(C₂×3_-¹⁺²) = C₂×C₆₃⋊₃C₃	φ: C₂×3_-¹⁺²/C₁₈ → C₃ ⊆ Aut C₇	126	3	C7:5(C2xES-(3,1))	378,25
C₇⋊₆(C₂×3_-¹⁺²) = C₂×C₂₁.C₃²	φ: C₂×3_-¹⁺²/C₃×C₆ → C₃ ⊆ Aut C₇	126	3	C7:6(C2xES-(3,1))	378,27
C₇⋊₇(C₂×3_-¹⁺²) = D₇×3_-¹⁺²	φ: C₂×3_-¹⁺²/3_-¹⁺² → C₂ ⊆ Aut C₇	63	6	C7:7(C2xES-(3,1))	378,31

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