Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂×F₇

Direct product G=N×Q with N=C₃ and Q=C₂×F₇

		d	ρ	Label	ID
C₆×F₇		42	6	C6xF7	252,28

Semidirect products G=N:Q with N=C₃ and Q=C₂×F₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₂×F₇) = S₃×F₇	φ: C₂×F₇/F₇ → C₂ ⊆ Aut C₃	21	12+	C3:1(C2xF7)	252,26
C₃⋊₂(C₂×F₇) = C₂×C₃⋊F₇	φ: C₂×F₇/C₂×C₇⋊C₃ → C₂ ⊆ Aut C₃	42	6+	C3:2(C2xF7)	252,30

Non-split extensions G=N.Q with N=C₃ and Q=C₂×F₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₂×F₇) = C₂×C₇⋊C₁₈	central extension (φ=1)	126	6	C3.(C2xF7)	252,7

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Extensions 1→N→G→Q→1 with N=C3 and Q=C2×F7