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

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

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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.(C₁₃⋊C₆) = C₃₉⋊₃C₁₂	φ: C₁₃⋊C₆/C₁₃⋊C₃ → C₂ ⊆ Aut C₆	156	6-	C6.(C13:C6)	468,21
C₆.₂(C₁₃⋊C₆) = C₁₃⋊₂C₃₆	central extension (φ=1)	468	6	C6.2(C13:C6)	468,1
C₆.₃(C₁₃⋊C₆) = C₂×C₁₃⋊C₁₈	central extension (φ=1)	234	6	C6.3(C13:C6)	468,8
C₆.₄(C₁₃⋊C₆) = C₃×C₂₆.C₆	central extension (φ=1)	156	6	C6.4(C13:C6)	468,19

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