Extensions 1→N→G→Q→1 with N=C₆ and Q=D₃₇

Direct product G=N×Q with N=C₆ and Q=D₃₇

		d	ρ	Label	ID
C₆×D₃₇		222	2	C6xD37	444,15

Semidirect products G=N:Q with N=C₆ and Q=D₃₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆⋊D₃₇ = D₂₂₂	φ: D₃₇/C₃₇ → C₂ ⊆ Aut C₆	222	2+	C6:D37	444,17

Non-split extensions G=N.Q with N=C₆ and Q=D₃₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.D₃₇ = Dic₁₁₁	φ: D₃₇/C₃₇ → C₂ ⊆ Aut C₆	444	2-	C6.D37	444,5
C₆.₂D₃₇ = C₃×Dic₃₇	central extension (φ=1)	444	2	C6.2D37	444,4

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C6 and Q=D37