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

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

		d	ρ	Label	ID
C₆²		36		C6^2	36,14

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₆)⋊₁C₂ = S₃×C₆	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₆	12	2	(C3xC6):1C2	36,12
(C₃×C₆)⋊₂C₂ = C₂×C₃⋊S₃	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₆	18		(C3xC6):2C2	36,13

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₆).₁C₂ = C₃×Dic₃	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₆	12	2	(C3xC6).1C2	36,6
(C₃×C₆).₂C₂ = C₃⋊Dic₃	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₆	36		(C3xC6).2C2	36,7

⋊

ℤ

𝔽

○

≀

ℚ

◁

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