Extensions 1→N→G→Q→1 with N=C₆ and Q=C₃×D₁₁

Direct product G=N×Q with N=C₆ and Q=C₃×D₁₁

		d	ρ	Label	ID
C₃×C₆×D₁₁		198		C3xC6xD11	396,25

Semidirect products G=N:Q with N=C₆ and Q=C₃×D₁₁

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆⋊(C₃×D₁₁) = C₆×D₃₃	φ: C₃×D₁₁/C₃₃ → C₂ ⊆ Aut C₆	132	2	C6:(C3xD11)	396,27

Non-split extensions G=N.Q with N=C₆ and Q=C₃×D₁₁

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.(C₃×D₁₁) = C₃×Dic₃₃	φ: C₃×D₁₁/C₃₃ → C₂ ⊆ Aut C₆	132	2	C6.(C3xD11)	396,13
C₆.₂(C₃×D₁₁) = C₉×Dic₁₁	central extension (φ=1)	396	2	C6.2(C3xD11)	396,2
C₆.₃(C₃×D₁₁) = C₁₈×D₁₁	central extension (φ=1)	198	2	C6.3(C3xD11)	396,7
C₆.₄(C₃×D₁₁) = C₃²×Dic₁₁	central extension (φ=1)	396		C6.4(C3xD11)	396,11

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C6 and Q=C3×D11