Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂×C₁₃⋊C₆

Direct product G=N×Q with N=C₃ and Q=C₂×C₁₃⋊C₆

		d	ρ	Label	ID
C₆×C₁₃⋊C₆		78	6	C6xC13:C6	468,33

Semidirect products G=N:Q with N=C₃ and Q=C₂×C₁₃⋊C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₂×C₁₃⋊C₆) = S₃×C₁₃⋊C₆	φ: C₂×C₁₃⋊C₆/C₁₃⋊C₆ → C₂ ⊆ Aut C₃	39	12+	C3:1(C2xC13:C6)	468,31
C₃⋊₂(C₂×C₁₃⋊C₆) = C₂×D₃₉⋊C₃	φ: C₂×C₁₃⋊C₆/C₂×C₁₃⋊C₃ → C₂ ⊆ Aut C₃	78	6+	C3:2(C2xC13:C6)	468,35

Non-split extensions G=N.Q with N=C₃ and Q=C₂×C₁₃⋊C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₂×C₁₃⋊C₆) = C₂×C₁₃⋊C₁₈	central extension (φ=1)	234	6	C3.(C2xC13:C6)	468,8

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Extensions 1→N→G→Q→1 with N=C3 and Q=C2×C13⋊C6